diff --git "a/data/dm_maths/full_data/1456_11255.jsonl" "b/data/dm_maths/full_data/1456_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1456_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round 0.03121162308 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Let w(k) = -10*k - 11. Give 3*q(f) - w(f).\nAnswer: 7*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107306*h**2*m**3 - 3*h**2*m**2 + 1306*h**2 + 5*m**2 wrt m?\nAnswer: 643836*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, q: 4}. Give prob of sequence qzqz.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 less than 0.07?\nAnswer: -189.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from rrrbbbbbebwbrrbwbew?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -18*w**2 - 3*w + 1. Suppose -4*j = -3*k + 12, -3*j + 1140*k = 1137*k + 9. Let r(h) = -53*h**2 - 8*h + 2. Give j*r(v) + 8*b(v).\nAnswer: 15*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*c - 172, 5*z + 3*c - 212 = 4*c. Let u be 59 + 9 + 10\/(-2). What is the greatest common divisor of z and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*s**4*y - s**4 + 9718*s**3*y - 34849*s**2*y + 7 wrt s?\nAnswer: -912*s*y - 24*s + 58308*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -1 (b) -2 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose 3*c - 8 = -b + 6, -c = -2*b. Solve -b = -f, -4*o + 14 = f + 2*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:42 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -15\/7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -128 + 143, -4*d - 15 = 5*x for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -18.6. Let j = 18.9 - y. Let k = -2 + j. Which is the third smallest value? (a) k (b) 1\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513\/7*q**5 + 0 + 12\/7*q - 75*q**3 - 60\/7*q**4 + 60\/7*q**2 = 0 for q.\nAnswer: -1, -2\/19, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9984?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r. Let f be z(1). Suppose f*k + 62 = 14. What is the tens digit of 37 - (k\/3 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 657870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u\/u**(-2\/41)*u*u)*u\/u**7)\/((u\/(u\/(u*u**(-15)\/u*u)))\/u**(1\/2)) assuming u is positive.\nAnswer: u**(365\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 524821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x - 13. Let q be s(2). List the prime factors of 4\/(q + (-82)\/28).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417615 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z - 13. Let t = z + 11. Suppose 0 = 5*b - q + 60 + 6, 0 = 4*b - 5*q + 36. Put -1, b, t in ascending order.\nAnswer: b, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158\/11 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -306*i**2 + 146 - 146 + (-2 - 2 + 3)*(-3*i**2 - i**2 + i**2) + (5*i - 3*i - 3*i)*(-2*i + 0*i + 0*i).\nAnswer: -301*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2055*i**2*z**2 + 20763*i**2 + 10*i*z**2 - 118314*i wrt i?\nAnswer: -4110*z**2 + 41526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770654?\nAnswer: 2, 385327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1590870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1080, -1079, -1050, -993, -908, -795?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2*i + 185 - 235, 8*j - 4*j - 5*i + 62 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -3, -61, -10, -5 in descending order.\nAnswer: 2, -3, -4, -5, -10, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 86400 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21*20\/(-15) - 3. Let x(f) = 5*f - 125. Let j be x(m). Solve -3*d - 3*c - 9 = j, -5*c + 5 = 2*d + 23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4*(-4)\/(-3). Let q = -0.2 - -0.2. Let w = 16 - 17. Which is the closest to p? (a) 0.1 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0908333 to 4 decimal places.\nAnswer: 0.0908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 5*y**2 + 6*y - 9. Let l be b(-8). What is the tens digit of (-622)\/(-10) - 162\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0 = 6. Suppose -21 = 5*c - a*i, -4*c + 3*i = -2*i + 27. Put -2, c, 2 in descending order.\nAnswer: 2, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxcqxccqpqpccx. Give prob of picking 2 x and 1 p.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7)*j\/j**(-10\/7))**(-43))**(-1\/3) assuming j is positive.\nAnswer: j**(258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146794, -587202, -1321214, -2348830?\nAnswer: -3670050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*w**3 + 220*g**3*w**2 + 2*g**2*w - 1884921*g*w**3 + w**3 + 4894*w wrt w.\nAnswer: -6*g**3 - 11309526*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/3, -2\/3, -1\/26 in descending order.\nAnswer: -1\/26, -2\/3, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d. Suppose -3*v + 7*b - 3*b = -4, 5*v + 5*b = -5. Let w(r) be the second derivative of 3*r + 0 + 1\/3*r**3 + v*r**2. Determine h(w(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(200)*-2 + sqrt(200)))**2 + (sqrt(10) - -2*sqrt(360))\/(-2*sqrt(405)).\nAnswer: -13*sqrt(2)\/18 + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.677488 millilitres to litres.\nAnswer: 0.000677488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + (7 - 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = i - 4*v, 2*i = v + v + 12. Suppose -i*p - 11 - 1 = 0. Put 2, p, -1 in descending order.\nAnswer: 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9603 minus 3217606?\nAnswer: -3208003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 864314?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-44)*(-1)\/(50\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Suppose -r*a + 3*b = -3, 0*b - 5*b + 19 = a. What is the third derivative of -v**2 + 2*v**6 + a*v**4 - 4*v**4 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = -2*i + 1, -4*b = -5*i + 9. Let a be i - (-2 + 3)\/1. Suppose 0*j - 4*j - a = -4*r, -4*j - 36 = 4*r. Put 1, j, 2 in descending order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 13*o**2 - 2*o + 3*o - 25707*o**4 + 25713*o**4 + 2 in the form z*o**4 + q*o**3 + s + p*o**2 + i*o and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 17*j**2 + j. Let c(x) = 36*x**2 - 2*x - 1749. Determine c(f) - 2*s(f).\nAnswer: 2*f**2 - 4*f - 1749","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 11. Suppose 0 = 5*t - 2*n - 16 - 19, s = -5*t + n + 40. Let u(r) = r**3 - 3*r**2 - 6*r - 4. What is the remainder when u(5) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136367 by -11.\nAnswer: 12397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = x - 5*x. Suppose -2*j - x = -46. Let s(n) = 6*n - 76. Is 8 a factor of s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - r - 1 + (0 - 1 + 3)*(r - 5*r + 2*r) + 0*r - r - 5*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55\/3 + 161\/9. Let r = 8349 + -8351. Put -1, -1\/3, q, r in descending order.\nAnswer: -1\/3, q, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 41 = 4*z, -2*q + 39 = -331*z + 332*z. Let d = 20 - 11. What is the least common multiple of d and q?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, -94 in decreasing order.\nAnswer: 4, 2, 1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let d(q) be the second derivative of -11*q**3\/6 - q. Calculate k(d(h)).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 9. Calculate the highest common divisor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 17*s**2\/4 + 5*s - 1.\nAnswer: (s - 2)**2*(4*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 890347 to the power of 1\/2, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -91410 divided by 6094\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 11) in base 3?\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -18.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 224629147567 minus 4.1?\nAnswer: 224629147562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14416090 divided by -130.\nAnswer: 110893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 1. Let x(y) be the first derivative of -y**2\/2 + y - 2578. What is 2*x(c) - z(c)?\nAnswer: -c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18849 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - k - 13 = 0, -5*w - 1 = -k + 4. Let p be -1 + (-50)\/(-14) + w. Let n = 3.5 - 3. Which is the closest to -1? (a) -3 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2391.3 + -2392.3. Put -4\/3, 2, -0.5, 1\/4, v in ascending order.\nAnswer: -4\/3, v, -0.5, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q - 77*q**2 + 16*q + 80*q**2.\nAnswer: 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74779.06185 rounded to the nearest ten?\nAnswer: 74780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-60))\/(1\/2790). Suppose 0*y - 4*y = -t. Suppose y = -4*l + 5*l. Round l to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.26269 + 10.308. What is f rounded to three dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-28)\/(-4) + -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27048 - 27045. What is the closest to 0.1 in -1, -1\/63, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -3, -0.1, -28, 8, 0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/4)*z*z**(-4)*z\/z**(-2)*(z*(z*z**2)\/z*z*z)\/z*(z*z**(-2\/3)*z*z**5)\/(z\/((z\/z**(2\/3))\/z))**(3\/8) assuming z is positive.\nAnswer: z**(251\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/((-4320)\/(-420)))\/(3 + (-65)\/15)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.92 + 0.52. Let a = -8 - k. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076938303 less than -326945?\nAnswer: -326945.076938303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45811 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 0.3 (b) 57 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 26*h = 57. Suppose 18*x - h*x + 240 = 0. Let g = x - 96. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/26577925 greater than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 9 = 3*g - 25*k, 4*g + k + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:17 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010000 + -11010101010?\nAnswer: -10111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-48))\/(145\/(-24) - (-6 - -3)*2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -n + 4*n. Suppose 1 = -8*i + 25. Suppose 0 = 5*k - 4*x - i, -6 = -2*k - 2*x + 6. Sort -3, n, k.\nAnswer: -3, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*sqrt(156)\/(sqrt(60)\/sqrt(5)) + ((sqrt(78) + (sqrt(78)*-1 - sqrt(78)))*-1)\/sqrt(6)))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let n be l(-2). Suppose 25 = 3*f - 2*q + 9, -5*q = 4*f - 6. Find the third derivative of 0*m**3 + f*m**2 + 6*m - n*m**3 - 6*m wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35998 + -20680. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49411*q**3 + 48933*q?\nAnswer: 296466*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-21.1\nAnswer: -10.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21\/4 (b) -27052 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 542 - 341. Suppose 3*f = -3*k + 190 - 46, -3*k + 168 = -5*f. Calculate the remainder when x is divided by k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-462)\/(-105))\/(8\/(-10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4696 divided by 1\nAnswer: -4696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 240*b - 195. Let w(s) = -11*s + 9. Let l(h) = -6*r(h) - 130*w(h). Let i(a) = 54*a - 25*a - 37*a. Determine l(i(f)).\nAnswer: 80*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6577 - 6575. Is 0.0544 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*f = -8. Let x = -4 - f. Calculate the least common multiple of (12 - 1)*1 + x and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o - 2. Let p = 5 + -5. Let j be p + ((-10)\/(-3))\/(-2). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -2*h + 40, 3*g + 7283 = 4*h + 7203 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 10:12 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 63 + 30 + -67?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59 - 496*h + 122 - 63 + (-3 + 2 - 1)*(4 - 4 + 2*h) - h - 2*h + 4*h + 4*h + 2*h - 5*h.\nAnswer: -498*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 383228633*y. Let x(p) = -2*p. Calculate x(v(r)).\nAnswer: -766457266*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, 380, -1 in descending order.\nAnswer: 380, 24, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 38*b**2 - 27*b - 1108. What is a(-18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -689911 (base 12) in base 10?\nAnswer: -1675741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from iiiciiiiiiiicic.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -58 (b) 1 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 5*p - 8*p - 5*p - p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -2\/11, -0.5, -4.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844*r - 844*r + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -267*t + 221*t + 736. Solve 4*m + t = r, 4*r = -3*m + 5*r - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1019415378 to the nearest 100000.\nAnswer: -1019400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 53 + 8 = 0. Suppose 4*c + 12 = c - 5*h, -2*c - 4*h = 10. Suppose -y + 3 - c = 0. What is the lowest common multiple of y and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, l: 3, v: 7, i: 2}. Give prob of sequence il.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/12)\/((-112)\/(-42))*(-12)\/(-45)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2298 is divided by 2285?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.89022 + -22.98022035. Let i = b + 0.09. What is i rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 - 1 - (86 - 104)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10815 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 2*w + 40. Let q be z(0). Let c = -37 + q. What is the first derivative of -2*k - 3*k + 5*k - 12 + c*k**4 wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 + 1*-1. Let z be (-135)\/(-12) + (-2)\/8. Let t = z - 11. Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/841313 and -52\/781?\nAnswer: 59733223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 6\/18)*(-9)\/(-1). Solve 5*m = -0*u - 4*u + t, -3*m + 7 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857 a factor of 1010337446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1276464, 1276442, 1276426, 1276416, 1276412, 1276414?\n\"Answer: 3*x**2 - 31*x + 1276492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 3\/4 (c) -0.1 (d) 9 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 5, b: 3, h: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -115, -298, -623, -1132, -1867?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1087 and -0.15?\nAnswer: 163.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003632 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69268488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 688\/3? (a) 0.2 (b) 6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 102 = 2*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q - 4*q)*(-2 + 5 - 2) + 0*q + 2*q - 5*q + (3 - 2 + 0 - 2*q)*(9 - 35 - 22)*(0 + 1 - 4)*(0 - 1 - 1).\nAnswer: 572*q - 288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1))**(-4\/39)*((m*m**(-7))\/m)**9 assuming m is positive.\nAnswer: m**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 4, 2, -373, 1 in decreasing order.\nAnswer: 4, 2, 1, -82, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 615, 1214, 1815, 2418, 3023?\n\"Answer: f**2 + 596*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 + 237. What is the remainder when h is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/195)\/((-2)\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 4*q**2 + 3*q + 4. Let i be g(3). Let w(v) = -v**2 + 5*v - 2. Let s be w(i). Solve -4*k**s + 1 + 1 + 0*k**4 + 2*k**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 17, a: 3}. Give prob of sequence an.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = -3, -2*k - 2*m = 4872. Let c = -1518 - k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 2\/5*s**2 - 1\/10*s**4 + 3*s + 1\/75*s**6 - 1\/15*s**3 + 1\/50*s**5 - 4. Let l(o) be the first derivative of g(o). Factor l(x).\nAnswer: 2*(x - 1)**2*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 10. Let o = -16 + g. Which is smaller: -2\/19 or o?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9603 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62224 - 61524 = 3*l + 25*l. Let -45*x - l*x**2 - 5\/3*x**3 - 65\/3 = 0. Calculate x.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3543945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2045*s - 629702 = -2084*s + 282274. Is s a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 3:53 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 45 = 3*n, -2*n - 35 = -4*x + 75. Let u be 102\/15 - x\/(-150). Solve 1 = 8*a - u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -2*g - 10, 25 = 5*g - 12*g - 3*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10345, -10017, -9547, -8995, -8421?\nAnswer: -7885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**2 + 0*l**4 - 8*l + 0 - 1\/20*l**5 + 1\/6*l**3. What is t(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -11. Suppose 9*i = -3*d + r*i + 99, -4*d + 122 = 2*i. Calculate the remainder when 56 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*j = -131020 + 131008, 4*z + 16 = -4*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/7474962 and -53\/17094.\nAnswer: 52324734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -11.2031?\nAnswer: -11.2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/((-4864)\/12))\/(6\/16) + (-596)\/(-114)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161325*y**2 + 322658*y**2 - 161321*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((3256\/33)\/(-74))\/(34\/(-3))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 2*x**2 + 3*x + 3. Determine r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511 = 4*q + 3*x, 0 = -0*q + 2*q + 2*x - 258. Let k be 1 + (q\/(-44) - -2). Put 4, 2, k in increasing order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2551695615?\nAnswer: 3, 5, 7, 300023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 11*l**2 - 11*l - 12. Let c be k(-9). Let m = 80 + c. Calculate the least common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3*w + 3*w)*(-32 - 49 + 21).\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 492472\/809439 + 10\/35193. Find v, given that 12\/23 - m*v**2 + 38\/23*v = 0.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**7\/720 - t**6\/60 + 3*t**5\/20 + 3*t**2. Let y(n) be the third derivative of h(n). Differentiate y(a) wrt a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/22 and 2\/16*(17\/(-2) + -3).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**3\/6 + 5*p**2 - 7*p. What are the prime factors of k(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:17 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186.9979 - -187. What is i rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 5 + 3 + 6*u)*((3 + 1 - 5)*(0 - 3 + 2) - 16 - 2 + 0) to f + c*u and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 12. Let o be (-2)\/8 - 9\/i. Let k(x) = -x**o - 2*x - x**3 - x**2 - 1 - x**2 - x**3. What is k(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.84 - -0.066396283.\nAnswer: 0.906396283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f + 3. Let c(n) = 7*n + 2. Let k(l) = 11*c(l) - 6*p(l). Let v be k(6). Let r(w) = 4*w**2 + 2*w. Let t be r(v). Solve -d = -4*d + t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22048 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - ((2 - -85) + -134).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 + 3*n - 3. Let q(o) = -6*o**2 - 2*o + 3. Let b(t) = 5*h(t) + 4*q(t). Suppose -3*v = -7*v - 36. Is b(v) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, d: 3, y: 1, h: 2, k: 4, t: 2}. Give prob of sequence byh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhviaai. Give prob of picking 2 i and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8640?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 - -133. Suppose 3*a - 229 = w*f, 17 + 141 = 2*a + 4*f. Solve -57 + a = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -22) + 0 + -20 + (24 - -7).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = z, o + 9 = 5*z. Suppose z*p + 2*p = 24. Let n(x) = x - 4. Let j be n(p). Solve 0 = -3*w - 12, -j*h + 5*w + 8 + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from {f: 2, t: 1, r: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 0*z**5 + 3*z**5 + (3*z**4 + 0*z**4 - 5*z**4)*(0*z + z - 2*z) + z**4 - z**5 - z**4 + z**5 + 5*z**5 + z**5 + 5*z**5 - 2*z**5 - z**5.\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2659*a - 5241 + 14835 = 2542*a for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6580569?\nAnswer: 3, 2193523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**4)\/i)*i)\/(i*i\/i**(2\/3)))\/(i**2\/i)**(6\/7) assuming i is positive.\nAnswer: i**(80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*x, -3*x + 5 + 2 = s. Suppose -4*n + 22 = -2*g, 2*n - 2*g - 14 = -0*n. Suppose -y + n = -3*y. Is s less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9434.1 + 10729. What is o rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5906683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/144*1\/180. Let n = -167\/2025 - u. What is the second smallest value in n, -2, 1\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -14*(-7)\/42. Let k = -93 - -557\/6. Which is the closest to 0? (a) p (b) -1.1 (c) k (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2035 - 2034.6. Let s be ((-2)\/6)\/((-5)\/(-6)). Which is the closest to s? (a) k (b) 5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-30)\/10731) - 4\/(-10). List the prime factors of 8\/(-5)*a\/22.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -39.04. Let k = z - 2.54. Which is the closest to 1? (a) -1\/7 (b) -22 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120371 is divided by 198?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92643 + -277915\/3. Let y*k**2 + 5\/3*k**3 + 0 + 3*k = 0. Calculate k.\nAnswer: -9\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -120 + 122. Suppose 0 = -4*v + 2*h + 326, 3*h - 400 = -5*v - o*h. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*j. Let c(x) = -3*x - x + x. Let b(r) = r. Let u be (-14)\/3 - (-2)\/3. What is j*c(y) + u*b(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) -0.1 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:22 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 + 908*f**3 - 273600*f**2 + 26985472*f + 112377856 = 0. What is f?\nAnswer: -4, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*o - 820, 3*l - 462 = -0*o + 3*o. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - h**2 + h + 3. Let g(v) = -5*v**3 + 3*v**2 + 2870*v - 9. What is -g(t) - 3*i(t)?\nAnswer: -t**3 - 2873*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35668135 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 8:06 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1869 + 1869. Which is the second smallest value? (a) 0.5 (b) m (c) 0.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5, 100, 0.4?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7584021 rounded to 3 dps?\nAnswer: 2.758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -19959986 >= -0.048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6272 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-11 - 1 + 5)*(12 - 2 - 113*u + 94*u)*(-u**2 + 0*u**2 - 5*u**2) in the form g + t*u**2 + w*u**3 + f*u and give w.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 6, 12, 32, 72, 138, 236, 372?\n\"Answer: i**3 - 2*i**2 - 3*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(768))\/(sqrt(64) - -5*(2*sqrt(64) + sqrt(64))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -281, -3, 3, -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695559 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1331534541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8740 = 375*b - 299*b. What is the remainder when b is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*i = 2*y - 16, -5*y + 12 = -3*i. Let s(t) = -4*t**2 + 3*t + 3. Let d(j) = -5*j**2 + 4*j + 4. Let w(h) = -3*d(h) + 4*s(h). What is w(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 + 0 = 4*j, -15 = -5*j + 5*h. Let f(m) = -2*m**3 + 4*m**2 - 4*m + 3. Let v be f(j). Which is the biggest value? (a) -0.1 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -36*g + 43. Is r(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6835*t**2*u - t**2 + 2*t + 12325*u wrt t?\nAnswer: -13670*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 0, 1, -3 in descending order.\nAnswer: 94, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 8*n**2 - 8*n - 15. Let o be k(7). Let w = -17 - o. Let h(c) = c**2 + 2*c + 1. Let i be h(-4). Solve 1 = -2*y - i, -3*l + 2*y = w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 13 = 3*a, -30 = -4*a - a + 5*v. Let l(w) = 17*w - 25. Let u be l(a). Is 3 a factor of 10\/4*288\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2501 + 100?\nAnswer: -2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 + 2*s - 7. Let u be c(5). Suppose 6904 = 3*t - 5*l, -3*t + 1337 = -u*l - 5557. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*i**2 + 1\/5*i**3 - 1\/5*i**4 + 0 - 1\/5*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 4041, 1\/6, 5, 2, 0.2 in increasing order.\nAnswer: 1\/6, 2\/11, 0.2, 2, 5, 4041","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2002*k - 2028*k = 0. Let w(q) be the first derivative of 1\/3*q**3 + k*q**2 + 26 + 0*q. Let d(g) = 23*g. Give d(w(u)).\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 13*l + 7 = -12*l + 11, 2 = -5*g - l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 360de (base 16) to base 5\nAnswer: 24041111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-66)*3\/(-10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(99) + 4)**2.\nAnswer: -6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g + 11. Let o(u) = -5*u + 1 + 4*u + 1 - 1. Let m(h) = 6*o(h) - x(h). What is the derivative of m(t) wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = t + 1, 3*a + 29330*t = 29328*t - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 + 356*s**3 + 19972*s**2 - 356*s - 19968 = 0. What is s?\nAnswer: -39, -1, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1023*i**3 - 18*i - 488. Let q(u) = -1024*u**3 - 23*u - 489. Let w(d) = -6*g(d) + 5*q(d). Find the second derivative of w(h) wrt h.\nAnswer: 6108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 8*i + 6. Let y be d(5). Suppose 0 = -3*x + c + 10, 0 = -5*x + 3*c - c + y. Factor -x*m**2 + 1 + 0*m**2 + 2*m**3 - 4*m**5 + 2*m**5 + 3*m**4.\nAnswer: -(m - 1)**3*(m + 1)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6748*u**2 + 6742*u**2 + 3*u**3 - 14*u - 4*u**3 to the form m*u**2 + n*u**3 + c + s*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140 + 202. Calculate the highest common divisor of 72 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 15*s**2 - s - 1. Let l be h(-1). Suppose 0 = 3*f - l + 6. Suppose 0 = -p - 3*p + z + 4, -f*p = 5*z + 20. Solve 6*i - 2*i + 4 = p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407078.\nAnswer: 2, 7, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6678.889 and -0.5?\nAnswer: 6678.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 936 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1 (c) 0.4 (d) -16 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from mnmjmjamnaj.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*m + 5*k, 5*m + k = -k - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/8 + 983*w\/8 - 11569\/4 = 0 for w.\nAnswer: -1006, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 1\/31 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 217 - 95 = 0. Suppose 4*x = 4*h + y, -5*x - 150 = -7*x - 4*h. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/60 + 5*i**4\/24 - 5*i**3\/6 + i. Let j(d) be the second derivative of m(d). What is the derivative of j(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289055 by -22235.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -19*x + 1. Let f(b) = -116*b**2 + 145. Let t(w) = -77*w**2 + 95. Let v(q) = 19*f(q) - 29*t(q). Calculate h(v(l)).\nAnswer: -551*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - w + 3*l - 135 = 0, 0 = -w - 4*l - 0*l - 815870 + 816023 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 1)*(-4*p + 7*p - p) + (4 - 5 + 2)*(2*p + p - 2*p) + 2*p + 0 + 0 + 2*p + 0 + 0 + 1 + p - 1 + 2*p + 0 + 0 - 3*p + 3*p + p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 12:09 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.4 - -44. Which is the nearest to 0.06? (a) -3\/7 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 - -70 - (-1 - (2 - 1) - 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let s be h(5). Suppose -3*x = -s*d + 59 + 433, d = -3*x + 123. What is the remainder when d is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1321 - -69957\/36988. Calculate the common denominator of u and -79\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0 + 0*m**3 - 5\/24*m**4 + 12*m**2 + 0*m. Let q(h) = -h + 5. Let j be q(0). Let b(c) = 4*c. What is j*i(k) + 6*b(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -1. Let j = 0.2 + -0.3. Let s = j - -0.2. Which is the third smallest value? (a) s (b) t (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n - 28. Let s be p(6). Sort 0, 4, -2, s.\nAnswer: -2, 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -22870.\nAnswer: -2\/2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*((2*sqrt(50))\/sqrt(2) + -1*sqrt(225)))\/((sqrt(245) + 2*sqrt(245)*-5)*4))**2.\nAnswer: 5\/31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*q = -a - 16, -3*a + 3*q + 21 = 0. Let l be ((-1)\/a)\/((-3)\/546). Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1835a (base 14) to base 13.\nAnswer: -21a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -300, -561, -896, -1305?\nAnswer: -1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -22. Let k be 1\/(2 + h\/6). Sort 1, 5, k.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 - 301*g**3\/2 - 1191*g**2\/2 - 891*g\/2.\nAnswer: -g*(g + 1)*(g + 3)*(g + 297)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 11:39 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*s + g, 0 = -9*s + 8*s - g - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (7 + -16 + 5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 176? (a) 1440 (b) 0.5 (c) 5 (d) 3\/5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16193?\nAnswer: 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-20*s - 17*s + 13*s)*(-2*s + s + 2*s)*(2 - 2 - 2*s**3).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0 - l**4 + 0*l**5 + 0*l**2 - 85\/6*l**3 - 2*l + 1\/30*l**6. Find the second derivative of k(f) wrt f.\nAnswer: 12*f**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35136.66549 rounded to zero decimal places?\nAnswer: -35137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l)**(-12\/13))**(-2\/117) assuming l is positive.\nAnswer: l**(-8\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x**3 - 117639*x**2 + 77*x + 660065415.\nAnswer: -6*x**2 - 235278*x + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:11 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(833))**2 - 4*(sqrt(833) + 0)) + 3 - (((sqrt(204) - (sqrt(204) - (sqrt(204) - (sqrt(204)*2*-1 + sqrt(204)))))\/(sqrt(768)*-2))**2 + 3).\nAnswer: 56*sqrt(17) + 320239\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 20 = 2*h - 2*o, -3*o = -3*h - 6. Let g(q) = 3*q**h - q**3 - 2*q**2 + 5*q**2 + 6 - 6*q + 0*q**2. Calculate g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -58, -118, -234, -424?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*o**2 + 83*o**2 + 114*o**2 + 58*o**2 in the form l + m*o + y*o**2 and give y.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h + 2*h**2 - h)*(-2*h**2 + 0 + 0) + 3 - 3 - 2*h**4 - 2*h**4 + h**4 - 4*h**4)*(39 - 73 - 24 - 114 - 70).\nAnswer: 2662*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.2 (b) 0.04 (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 81 = 69. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11463 by -2.\nAnswer: -11463\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -29. What is the closest to w in -0.7, 0.4, -0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 1)*(5 - 1 - 3) + 0 + 6 + 0)*(-243*b**2 + 123*b**2 + 122*b**2 - 46 + 3*b)*(-2 + 3 - 2)*(3 + 1 - 3).\nAnswer: -18*b**2 - 27*b + 414","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -35473 = -283789\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174.3 + -90.6. Let i = q - 92. Round i to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(-1\/9))\/t*t)\/((t\/(t*t**(-1\/5)*t))\/t)*(((t\/(t**0\/t))\/t)\/t)**(9\/8))**4 assuming t is positive.\nAnswer: t**(704\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2329 + 24.9671. Which is the third biggest value? (a) -1 (b) -10 (c) i (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146167*t**2 - 207*t + 90?\nAnswer: 292334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 580*s + 26. Let i be x(4). Let r = i - 1387. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38663 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -776, -737, -700, -665, -632, -601, -572?\n\"Answer: -t**2 + 42*t - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 28965583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**2\/7 - 21408*d\/7 + 54864 = 0.\nAnswer: 18, 5334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 13*c**2 - 48*c + 4. Determine o(4).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2598421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:17 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14520 = -621*x - 3342 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54b + 2841a4?\nAnswer: 283855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 384 + -381. Solve 5*r + 2*j = -2, 3 = 5*r - 0*j - q*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378631 divided by -792877?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 37*h - 177. Give q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w + 1. Suppose 51 = 2*i - 77. Let o = i + -91. Let j = o - -28. Give s(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63878 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1995 + -1639. Calculate the remainder when b is divided by 96.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 151392, -6, 5 in decreasing order.\nAnswer: 151392, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.401565 grams?\nAnswer: 7401.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 18. Calculate w(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -1\/4 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 84 = -36. Which is the smallest value? (a) -1\/4 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 3. Let q(l) = -l + 1. Let j be q(0). Suppose 0 = -5*u - s - j, 0*s + 16 = -4*u + 3*s. Let b(r) = 1. Determine u*x(f) + 2*b(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*x = -17, -4*x - 5 = d - 26. Let t(z) = 3*z**2 - 4. Let q(h) = 7*h**2 - h - 9. Give d*t(i) - 2*q(i).\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 25 = 0, -75 = -y + 6*y - 3*s. Let g = 11 + y. Let n(t) = -2*t. Let a be n(g). Which is bigger: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 474, -2159, -6542, -12675?\n\"Answer: -875*f**2 - 8*f + 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -5449.655\nAnswer: 5449.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5287115547 to the power of 1\/3, to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4 = m, 3*m = 4*c - 185 + 164 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1573 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 43. Let y be 4\/8 + t\/4. Let n = 8 - y. Solve a - 2*f - 5 = 0, -4 = -5*a - f - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29548000 and 59630.\nAnswer: 1979716000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3. Let z be u(1). Let i = z + 99. Let l be (-3)\/(-1 - i\/(-112)). Calculate the greatest common divisor of l and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -111*h**2 + 5*h - 178. Let v(a) = 56*a**2 - 3*a + 89. Let u(l) = 4*q(l) + 7*v(l). Find the first derivative of u(p) wrt p.\nAnswer: -104*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - -1.2. Which is the third biggest value? (a) 0.3 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.135 greater than or equal to -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 74 - -56) + -11.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from kokokkkkkkkoookotk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*i - 96*i - 2520 = -171*i. Is i bigger than -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**2\/2 + 17*o - 6. Let t be f(14). Is (0 - 1)\/(t\/(-195)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1227 + -1210. Let d(k) = k - 4. Let l be d(6). What is the third derivative of 59*g - 113*g - 2*g**l - v*g**4 + 54*g wrt g?\nAnswer: -408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338357, 338344, 338331?\nAnswer: 338318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r**3 - 4*r**2 + r - 2. Is l(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8*(-1)\/(0 - 2). Let i(n) = -n**3 - 3*n**2 + 2*n + 1. Let h be i(g). Let v be 9*((-6)\/h + 1). Solve 2*u + 8 = -0, 29 = v*w - 5*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 + -125 + -144 - (-66 + 0).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139842.\nAnswer: 2, 3, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/15 - 2270*v**2. Let r(k) = -32*k. What is r(f(m))?\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 16777 - 38*h + h**3 - 16770 + 33549 + (2*h**2 - 2*h**2 + h**2)*(6*h - h - 2*h) + h**3 - 2*h**3 + 2*h**3.\nAnswer: 5*h**3 + 3*h**2 - 38*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 - 488. Let l = -158 + 142.1. Let u = l - p. Round u to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -1466. Suppose 5*o + 445 = y. What is the remainder when o is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.884 - -8.884. Sort q, -0.5, 908 in decreasing order.\nAnswer: 908, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.5 + -5.2. Let g(m) = -m**2 + 7*m - 2. Let k be g(6). Which is the biggest value? (a) k (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + h**2 - 4)*(7 - 3 - 2) - 3*h**2 + 2*h**2 + 0*h**2 + 23 + h + 0*h + h**2 - 24.\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*40\/70 + (-2 - (-10)\/7). What is q in 3\/2*q**2 - 3\/4*q + w - 3\/4*q**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2100306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(15\/(-9) - -2). Let q(f) = f**3 - 5*f**2 + 5*f - 2. Let c be q(m). Does 13 divide (3\/4)\/(c\/(-380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.076, 2\/17, -1348 in descending order.\nAnswer: 2\/17, 0.076, -1348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2775 (base 13) to base 5\nAnswer: -140143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5 - 4\/5*u + 4\/5*u**4 - 4\/5*u**5 - 8\/5*u**2 + 8\/5*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -65, -152, -291, -500, -797, -1200, -1727?\n\"Answer: -3*a**3 + a**2 - 35*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**5 + 4*h**4 + 4*h**3 + 4*h. Let c(d) = 10*d**5 + 5*d**4 + 5*d**3 + 5*d. Let s(i) = 4*c(i) - 5*l(i). Factor s(g).\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1128562 and 8.\nAnswer: 4514248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -94 - 4?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 - d + 1. Let a(y) = y - 2. Let b be (-3)\/(2 + 3\/(-6)). Let s(u) = 2*u**2 + 2*u. Let h be s(b). Let z be a(h). Calculate q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - -2 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 0.8 (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w + 2. Let n = 5 - w. Suppose 0 = 6*g - n*g - 142. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1076*h**5\/5 + 14*h**4\/3 - h**3\/3 - 5*h**2\/2 - 4476*h. What is the third derivative of v(q) wrt q?\nAnswer: -25824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*q**5 + 24*q**4 + 472*q - 5*q**4 - 55*q**5 + 31*q**5 wrt q.\nAnswer: -100*q**3 + 228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0938168t to micrograms.\nAnswer: 93816800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:17 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uububuuu. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8325388 is divided by 256?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bnnsnsnnbs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*1)\/sqrt(12))\/sqrt(6).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 + 7. Let g be 10\/(-35) + 74\/14. What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560*s - 28 = -574*s. Solve -5*g + 15 = y + 42, -5*g - 6 = -s*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 53826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 870687806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120560 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184 + 182.06. Let s = u + 0.94. What is the nearest to -28 in s, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 7:31 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*a**2 + 0)*(-21*a + 21*a + 7*a**3).\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185197?\nAnswer: 41, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -2*t + 10, -5*a + 9 = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104699 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75827778 divided by 7421.\nAnswer: 10218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(665\/14)\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-8)\/6)*-4. Differentiate 6 - 3*f**3 + 0*f**y - 3 with respect to f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {s: 5, h: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 4*a - 2. Let k be y(5). Let t be 36\/6 + 1*-2. Suppose t*o - 10 = -2*u, -u + k*o + 14 = 2*o. What is the greatest common divisor of 44 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-36)*-3*2\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9922490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:38 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34283, -81919, -129555?\n\"Answer: -47636*p + 13353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.9 - -42.9. Let c = 36 - g. Let d = 3 - 3.3. What is the nearest to c in d, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15)**(-3\/2) assuming u is positive.\nAnswer: u**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 5 (c) -2\/9 (d) -5 (e) -2.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48541604455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - -140?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, y: 2, d: 2}. What is prob of picking 1 d and 1 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4600188 and 3816?\nAnswer: 9200376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 16. Suppose -4*l = -8, -i + 4*l = 2*l - 28. Suppose -i - 24 = -8*o. Let w be r(o). Solve 0*m + w*m = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 1001.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wow when three letters picked without replacement from ooowoofwofoo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1)\/((-1)\/(-3)). Find the third derivative of -s*j**3 + 5*j**2 + 3*j - 2*j**3 - 3*j wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let q(u) be the third derivative of u**5\/20 + 19*u**2. Calculate q(z(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, o: 1, u: 1, k: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 24*y**2 + 4*y + 23. Let n be c(-18). Suppose 4781 = 6*x + n. What is the greatest common divisor of 37 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 0 + 0*r**3 + 3\/2*r**4 - 8\/5*r**5 + 0*r**2 - 28*r. Find the third derivative of v(l) wrt l.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8939 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*a**2*l**2*u - 88*a**2*l - 31*a*l**2 - 43*a + 4225*u wrt u?\nAnswer: -21*a**2*l**2 + 4225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 1 - (-333 - -307)) + 2 + -69?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -470, -429, -372?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 263082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -285607070\/11 < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 - 2*p - 9. Let w = -1 - 5. Let a be d(w). What is the third derivative of -k**6 - a*k**3 + 3*k**3 + 2*k**2 wrt k?\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 48*w**2 + 112 - 112.\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2 + 1. Let a(i) = -57*i. What is c(a(y))?\nAnswer: -16245*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*x + 2*x - 6, -2*a + 4*x = -10. Let b be (2 - 5) + a + -4. Let h be -4*1\/(2 - 4). Solve 0 = -i - 4, b = -4*t + h*i - 4*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146 - -4447.18.\nAnswer: 4301.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1776\/(-18))\/8)\/((-49)\/147).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/64)\/(375\/4*(-380)\/(-1900))?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*m - 0. Let y = 42 - m. Suppose 11 = -3*a + y. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102403 (base 5) in base 4?\nAnswer: -312112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -473726900 rounded to the nearest one million?\nAnswer: -474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31449, -31451, -31453?\nAnswer: -31455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*x**3 - 17*x**2 + 414 wrt x?\nAnswer: -69*x**2 - 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/26)\/(f*f**(-16)) assuming f is positive.\nAnswer: f**(391\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -86465, -86466, -86467, -86468, -86469, -86470?\n\"Answer: -u - 86464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 73122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) -1\/3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzu when three letters picked without replacement from fzfufbz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -167, -162, -163, -176, -207, -262, -347?\n\"Answer: -w**3 + 3*w**2 + 3*w - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.163457981 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 13. Let p be k(-9). Let q(g) = g**3 + 4*g**2 - 7*g + 2. Let u be q(-5). Let f = u - p. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**5\/20 - 7*w**4\/4 + 13*w**3\/2 - 19*w**2\/2 - 2*w + 44. Let i be l(19). Solve i*m - 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 65*g - 64*g - 1166, -3*c + 5*g = -1154. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from {c: 9, e: 2, w: 2, u: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 317, 315?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51244 - 0?\nAnswer: 51244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/15))\/u*u*u*u**8*u)\/(u\/(u*u\/(u**(4\/3)\/u*u))*u**(-1\/4)) assuming u is positive.\nAnswer: u**(659\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n**5\/2 + 16*n**4 - 27*n**3\/2 - 70*n**2 - 46*n = 0. What is n?\nAnswer: -2, -1, 0, 23\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9914667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 - -257\/3. What is the third smallest value in -4, o, -12\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.3 + 7. Let j = -8.7 + r. Let n = -8.00000058 - j. What is n rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-33)*(-276)\/(-1288).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(14)\/sqrt(2) + sqrt(7)) + 6*sqrt(7)*-2.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(1100) - sqrt(1100)*-4) + sqrt(1100))*2 + 0 + 0 + 4)**2 + 4.\nAnswer: 960*sqrt(11) + 158421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 490.014.\nAnswer: 486.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(2\/91))\/(j*j**(-1\/15))*(j*j*j**(-19\/4)*j)\/(j*j**(-14)) assuming j is positive.\nAnswer: j**(67129\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/789 + 1624\/18147. Which is the smallest value? (a) j (b) -1 (c) 10 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 282771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6843412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 + 4*u**2 - 45*u + 1. Let i(m) = 2*m**3 - 3*m**2 + 46*m - 1. Determine -4*i(w) - 3*x(w).\nAnswer: -2*w**3 - 49*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 14.877. Let u = h - 0.1230105. What is u rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-1))*m))**(-1\/80)*m**(-1\/3)\/(m**1\/m)*((m\/(m**7*m))\/m*m*m*m**(2\/3))\/(m\/(m*(m*(m**1*m)\/m)\/m))**(-2\/83) assuming m is positive.\nAnswer: m**(-113111\/19920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r)\/r*r**2*(r**(1\/4)\/r*r)**(-42) assuming r is positive.\nAnswer: r**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 3*q**2 - 3*q + 10. Let t be n(0). Does 16 divide (t\/75*144)\/(4\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehvv when four letters picked without replacement from {h: 1, e: 9, v: 10}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 350108741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*c - 60 = 935*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(192) + sqrt(192) + sqrt(192)*3))**2 + 5 + (sqrt(3456)*-1)\/sqrt(8) + -3.\nAnswer: -12*sqrt(3) + 43202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22030.218ms to weeks.\nAnswer: 0.000036425625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -160. Let m = o - -88. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 + 334 + 41*p**3 + 10 + 8*p.\nAnswer: 41*p**3 + 8*p + 570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1774.5495 - 1722.24. Let w = b - 3.3009. Let x = 49 - w. What is x rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6480929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 52389*x**2 - 1 - 52387*x**2 + 2*x**3 + 104777*x**2 + 23*x as d*x + c*x**3 + l*x**2 + p + j*x**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/87955?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231098 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10446, 7\/4, -1, 1, -5.\nAnswer: -5, -2, -1, 1, 7\/4, 10446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4310234 + -10?\nAnswer: 4310224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 126 = -28*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 2*c + c)*(2 - 2 + 3)*(0 - 4 + 0)*(0 + 1 + 0) in the form d + v*c and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 480, 1130, 2040, 3210, 4640?\nAnswer: 6330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 310314 - 4?\nAnswer: 310310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -41 + 1\/3*w**3 - 42*w + w**2. What is the hundreds digit of p(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 + 126. Let j be 2\/41*(-1)\/(-3). Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i. Suppose 2*p - 26 = -i*p. What is the highest common divisor of 104 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 divided by -3?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:44 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 96, 185, 314, 495, 740, 1061, 1470?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74952\/(-27760) - 4\/(80\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2)*(-9)\/(-3). Let l be (-7 + 1)*(-1)\/c. Let b = 4 - 1. Which is greater: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.52*302.02\nAnswer: -157.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-28)*8\/(-31)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**3 - 5*w**2 + 3*w - 240. Let h(t) = 21*t**3 - 34*t**2 + 20*t - 1678. What is 3*h(m) - 20*u(m)?\nAnswer: 3*m**3 - 2*m**2 - 234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7352 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 25. Let a be r(10). Solve 0 = -9*j + a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/6 - s**2 - 5*s\/6 + 2 = 0?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -79*y + 1188. Let z be u(15). Which is the biggest value? (a) z (b) -8\/105 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.1, 2\/15, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -2*q**6\/3 + 14*q**5\/5 + 16*q**4 + 68*q**3\/3 + 10*q**2 + 6*q - 43. Let v(b) = 0. Calculate b.\nAnswer: -1, -1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157008973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80251*a**2 + 80358*a**2 - 1 - 160747*a**2 + 1.\nAnswer: -138*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(4*sqrt(1700)*2 + sqrt(1700) - sqrt(1700)*-1*-2)**2 + 1 + 0 + -1*sqrt(1700) + -3).\nAnswer: -10*sqrt(17) + 249898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 54 + 21 = 0. Suppose 0 = 3*u - p - 17. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcc. Give prob of sequence cccr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1\/(-10)) - 0. Suppose 35 = -j + 2*j. Let b = 65 - j. Calculate the greatest common factor of b and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 a factor of 1662693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 - 4*x**3 + 2*x**2 - 12*x**2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w + 6*w. Suppose 0 = -0*i - w*i + 24. Suppose z - 4*z = i. Which is greater: -4\/7 or z?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 4\/21, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-704)\/2160 + (4\/(-6))\/(115\/(-69)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11876 and -3.\nAnswer: -35628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45715657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bd7 (base 14) to base 12.\nAnswer: -6155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 9355.\nAnswer: 9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = 0, -28 = -2*c - 2*d + 120. Let o = -64 + c. Suppose 3*k - 3*q - 360 = -q, 3*k - o*q - 351 = 0. What are the prime factors of k?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*q = n - 18, -4*n + q + 12 = 0. Suppose n*y + 31 - 73 = 0. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 243\/5*j**4 - 2052\/5*j**3 - 48 + 2064\/5*j - 3984\/5*j**2 = 0. Calculate j.\nAnswer: -2, 2\/9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3458.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 = -25. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347 (base 11) to base 9\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**0\/b)\/b*b**(-12))\/(b*b**5)**47 assuming b is positive.\nAnswer: b**(-295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -119\/4. Which is the closest to q? (a) -4 (b) -4\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 4992?\nAnswer: -4999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(13) + 1*sqrt(13)) + (sqrt(13) - ((2*sqrt(65))\/sqrt(5) - sqrt(13))) - (1*sqrt(91)\/sqrt(7) + sqrt(13) + -2 + sqrt(39)\/sqrt(3)))**2.\nAnswer: -52*sqrt(13) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 2*n**2 - 3*n + 14. Let x be w(6). Is (-2 - -1)*x\/(-8)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qojcxqeccjox. Give prob of sequence xxj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*s - 37 = 3, -t = -2*s. Let u = t - 9. Sort -2, u, -5.\nAnswer: -5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - w = 2 - 4, -3*w = 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/20 + 23*z**4\/12 - 25*z**3\/6 + 4*z**2 + 23*z. Let j be w(-24). Calculate the highest common factor of j and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -22*z - 131. Let t be m(-6). Is t bigger than -7\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3073990 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18807 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 132 + 15 + -11. Let k = m + 1120. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 3. Let x be a(6). Let r(o) = 6*o - 3*o**2 + 0*o - 1 + o**3 - 3*o. What is the units digit of r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(12) + -2*sqrt(12) - sqrt(12))*-2 + sqrt(12)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + h - 5*h)*(3*h - 5*h + 0*h) - 6*h**2 - 12*h**2 + h**2.\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**2\/2 - 1. Let p(g) be the third derivative of 0*g + 0*g**4 + 189*g**2 + 1\/60*g**5 + 0*g**3 + 0. Calculate v(p(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/17? (a) -1 (b) 22 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4428916km?\nAnswer: 442891600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40783399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 5*r + 6. Let i be u(5). Let c be (-1 + 7)*(-8)\/i. Let o = -4 - c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*y + 118, y + 79 = 5*b - 3*b. Calculate the greatest common divisor of 16 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m + 204*m + 46*m + 153*m.\nAnswer: 415*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbbqb. Give prob of sequence qb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71594 and 482.\nAnswer: 17254154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -1\/5 (c) 5 (d) 1.1 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 1, c: 1, i: 2, y: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.986 - 0.014. Which is greater: -1.9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 64163.\nAnswer: -27\/64163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*x**3 - 2*x**2 + 37*x wrt x.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 11*n + 2. Let i be l(-11). Suppose 5*o - i*a + 18 = 0, 9*a = -o + 7*a - 6. Are -24\/7 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -248 + 1?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 28 + (25 - 33).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/6*1504\/15792)\/((-4)\/(-6))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 18 - 12)*(0*a**2 + a**2 + 0*a**2) as j*a**2 + t*a + d and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 20*g + 4. Suppose -5*q = 26 - 1. Let o be v(q). Solve 35*h = 33*h - o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -2. Suppose -3*u = a*u - 45. Let v be 1*(-5)\/25 + 11\/u. Solve -1 = 3*i + k, i = v*k - 4*k + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 11*x**3 + 3*x + 9*x**3 - x + 4*x**3 to the form j + b*x**2 + t*x + f*x**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2336 - 4659. Let x = 30184\/13 + b. Which is smaller: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2251 (base 7) to base 6\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -1788 in decreasing order.\nAnswer: -2, -6, -1788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:38 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - k - k + 2*k - 9*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 11:43 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -x + 16, -5*x + 0*x = 3*z + 8. Suppose 12 = -0*i + z*i. What is the derivative of -s**2 + 0*s**2 + i - 1 wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/2*(-4)\/32*-4*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 2*g**4 + 45*g**3\/2 - 89*g**2. What is the tens digit of n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 2. Let h(s) = -3. Let u(d) = 6*h(d) - 9*o(d). Let m(j) = 2*j**2. Determine u(m(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 0*t - t)*(9 - 7 - 4) to the form p + r*t and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 97 + 78 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/11 and 27\/865.\nAnswer: 9515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*r**4 - 5229*r**3 - 142137*r**2 + 8904*r = 0. Calculate r.\nAnswer: -56, -53, 0, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556003 is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-11 - (14 + -56)) - 144\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/2 - 2*t - 53. Let d(z) = 5*z**2. Calculate d(y(u)).\nAnswer: 180*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Let i(j) be the third derivative of -17*j**5\/120 + 13*j**3\/6 - 11*j**2. Let k(c) be the first derivative of i(c). Calculate k(d(b)).\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 49861.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (89 - 90 - (-1 - 34) - 9)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/24*(-2)\/1. What is the units digit of (-1 - (r - 3))*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -2*i - 66 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*t**3 + 1458*t**3 - 730*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 - 0.1. Let f be (12\/21)\/((-10)\/(-7)). Put f, w, 0 in decreasing order.\nAnswer: f, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6)*((-2)\/(-24))\/((-1190)\/(-4284))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/28 and 61\/1376.\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouoo. Give prob of picking 3 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*p**2 + 7583 - 7583.\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 851 + -400. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 109391415.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/832 and 97\/159292.\nAnswer: 33132736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/10 and -9\/163678?\nAnswer: 818390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) + (-57)\/(-15). Suppose v - 33 = 4*i + j, -37 = -v + 3*i. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 451 - 307. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 133 + 33*s + 36 + 45 - 36*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/9)\/5*(-3099)\/(-1211709).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnm when four letters picked without replacement from nnnm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0 + 3\/10*b**5 + 62\/3*b**3 + 0*b**4 - 20*b**2 - 1\/60*b**6 + 3*b. Differentiate p(k) wrt k.\nAnswer: -6*k**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3\/8, -0.4, 1, -6, -0.3, -2444?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*d = -4411, 5*x + 6*d = d + 22130. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2501131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w. Let k be (-7)\/(-7) + 2 + 0 + -1. Let a(o) = -k + o - 8 + 10. What is -4*a(p) - j(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -6*(sqrt(931) + (3*sqrt(931) - sqrt(931)) + sqrt(931) - sqrt(931)))**2 + (-5 + ((sqrt(57)\/sqrt(3))**2 - sqrt(19)))*-5.\nAnswer: 5*sqrt(19) + 268989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341221, 682461, 1023701, 1364941, 1706181?\nAnswer: 2047421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -611336 plus 0.3?\nAnswer: -611335.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 49*k + 40 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 546937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 1 - 1)*(-2*a - 2*a**2 + 2*a)*(3 - 2*a + a - 2).\nAnswer: -16*a**5 + 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -25. Let w be 339 + 2\/(-2) + 1*z. Suppose 0 = -4*k - 3*q + w, 0*k - 2*q = 3*k - 254. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 24. Let k = 6 - z. Let h = -8 - k. Solve 2 = h*i - 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -u - 31 + 43 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 3. Suppose -7*q + 11 = -10. Let m(l) = -3. What is q*m(u) + 2*p(u)?\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 24. Let m = 50 - u. Let i = m - 65.34. What is i rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -244, -375, -522, -691?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5, 5*o + 29 + 4 = 3*j. Is -63\/10 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 - 62*h**3 - 9*h**2 - 28*h wrt h?\nAnswer: 96*h - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111010220 (base 3) to base 6.\nAnswer: -1520510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:04 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let c(u) be the third derivative of 1\/12*u**5 - 1\/24*u**4 + 0*u**3 + 0*u - 31*u**2 + 0. Calculate c(a(r)).\nAnswer: 5*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28389*(3 - (-32)\/(-12)). Let d = 2734 + c. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 52*x - 2. Let g be n(1). What is the highest common factor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1\/10, -4, -22, 1\/7?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/16*(-1920)\/(-64).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecceceeeeeeeeeeeeeee. What is prob of picking 2 e?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61 or -106.17?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x**2 - 6*x - 2*x**3 + 0*x**3 - 19*x**2 to d*x**3 + n*x + c + z*x**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 27. Let f be (6 - 9)\/(39\/(-169))*1. Give b(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 + 4 = 0. Suppose -4*p + 0 = z - 2, -1 = -p. Sort z, a, 1.\nAnswer: a, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + 9 + -2 + -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19679 and 0.5.\nAnswer: 19679.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19253651*f*i**3 - 452*f + 152*i - 104 wrt i.\nAnswer: -115521906*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 13) + -203 + 174.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1122 + 1197. What is the remainder when 132 is divided by z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigfigkffffffffigffi. What is prob of picking 3 g and 1 k?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 363260533*c + 9865154 with respect to c.\nAnswer: 363260533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 17*v + 19. Let m = 34 + -31. Suppose 0 = -c - m*j + 22, -4*c + 60 = -4*j + 2*j. Let p be w(c). Solve p*n = -4 - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - 2*j**3 - 2*j**3 + (-662 - 684 + 578)*(4*j**2 + 0*j**3 - 3*j**2 + 11*j**3 + (5 + j - 5)*(j**2 - 3*j**2 + j**2)).\nAnswer: -7679*j**3 - 768*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -21*z + 17. Let s(k) = 20*k - 17. Let g(l) = 2*c(l) + 3*s(l). Let b = -1129 + 1139. What is the units digit of g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 2, c: 2, l: 8, h: 5, n: 2}. What is prob of sequence cc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 16\/(-6)*(-6)\/8 + 610. Is y greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 + 0 = 3*l, -5*l + 3*q - 12 = 0. What is the closest to 1\/4 in -1\/5, -7, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.39 + -5.35. Which is bigger: w or -2\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 2, y: 2}. What is prob of picking 1 v, 1 y, and 2 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/(-46) - 86\/(-1978)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 - 42. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - p - 9. Let z(n) = -n**2 + 4*n + 52. Calculate 2*d(h) + z(h).\nAnswer: h**2 + 2*h + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 850 - 794. What is the highest common divisor of v and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228\/17 less than or equal to 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83894876303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 - -149. Suppose -z = -n*k + 2621, 2*z = 2*k - 5*k + 3921. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -0.146, -64, -2\/5, 0, -14?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 5}. Give prob of picking 1 o and 3 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfvvvflplv. Give prob of picking 2 p.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000 (base 3) to base 15.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j - 18*j = 7*j - 3172. Solve j = -4*k + 28 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 29*t - 26*t. Let i = t + 227\/3. Factor 0*c + i*c**4 + 2\/3*c**2 - 4\/3*c**3 + 0.\nAnswer: 2*c**2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707675 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*w + 503 + 1036, -5*f = -w - 7632. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvxzxzxxxxlolxxoxx. Give prob of sequence vol.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2 = p - j, 5*p - 5*j - 10 = 0. Is -30\/13 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + d + 5 = 3*v, 3*v - 5*d = -9. Solve 0 = -t + v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 138, -1, 15, 0 in increasing order.\nAnswer: -10, -3, -1, 0, 15, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.7 and -42239?\nAnswer: -156284.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2198357 and -166518.3?\nAnswer: 2364875.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 42671?\nAnswer: 341368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*s**3 + 108*i**3*u**2 + i**2*s**3*u**2 + 2*i**2*s**3 + 13*i*u**2 + s wrt i.\nAnswer: -6*s**3 + 648*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 + 0.05. Let q = m - 3.3. Put q, -4\/7, 2 in ascending order.\nAnswer: q, -4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 89, 107, 125, 143, 161?\n\"Answer: 18*g + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83069432 and 1420.\nAnswer: 415347160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -349390 divided by -2430\nAnswer: 34939\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 3. Let y(x) = -7*x + 7. Let i(s) = -5*o(s) + 2*y(s). Let q(b) = -3. Determine -2*i(g) + q(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-161)\/(-4))\/((-29)\/(-116)). Let f(n) = -2*n. Let k be f(7). Let p = k + r. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -6*r + 4*r, 12 = 4*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -2\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2730\/(-360))\/((-130)\/40)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 1\/6*v**3 + 1\/3*v**4 - 1\/20*v**5 + 2*v**2 + 0 + v. Calculate t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*15\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*j + 46, -4*u + 4 = -2*u - 4*j. Let x be 0 + 2 - 12\/(-12). Solve -8 = x*c + 2*m, 0 = c + 4*c - 2*m - u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -62*p + 10. Let j be f(-10). Find the second derivative of -631*r**2 + j*r**2 + 26*r + 0 + 0 wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 94.\nAnswer: 53\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -7, 1, -0.21 in descending order.\nAnswer: 1, 0.3, -0.21, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 591484871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1010948, -1010953, -1010958, -1010963, -1010968, -1010973?\nAnswer: -1010978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934 = 9*j - 826 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2430.9999996716 + 2431. Round n to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1213013?\nAnswer: 1213012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-9)\/3*-365. Suppose 20*m - 23*m = -j. Does 30 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 7. Let s(c) = -2*c + 8. Let d(z) = -32*z + 24*z + 23 + z**2 + 19*z. Let p be d(-9). Calculate p*x(v) - 4*s(v).\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 2*o - 1. Let k be a(-2). Suppose k*t + 16 = 9*t. What is the smallest common multiple of t\/(-5)*(-105)\/14 and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89900*h**2 - 65746*h wrt h?\nAnswer: -179800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - j = 13, 0 = -148*j + 146*j - 2. Calculate the highest common divisor of 2284 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -740, -741, -742, -743, -744?\n\"Answer: -b - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*q - 4576*o + 4573*o, 0 = -q - 7*o - 22 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g - 120. What is i(21)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6321563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/10)\/((-69)\/115). Calculate the highest common factor of i and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**5\/10 - 47*c**4\/8 + 263*c**3\/3 + 168*c**2 - 576*c + 1624. What is a in t(a) = 0?\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1122165*t - 9.\nAnswer: -1122165*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1. Let v(x) = x + 11. Let b = -18 - 4. Let a(r) = b*z(r) + 2*v(r). Let h(j) = -7*j. Determine a(h(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, -3, 30 in increasing order.\nAnswer: -3, 0, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**2 + 1. Let n(i) = -2*i. Let z be (14\/35)\/((-2)\/20). Let d = -5 + 8. Determine d*y(g) + z*n(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -39*y**2 - 86*y - 85. Give s(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by -36905\nAnswer: -20\/7381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 2*d**2 - 2*d**2 + (d + 0*d + d)*(0*d - 2*d + d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-184)\/(-32))\/23*6*12\/(-54)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Let y(d) = 2 - 1 + 1 + 6*d**2. Is y(x) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4100554 (base 9) to base 8.\nAnswer: 10254063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:00 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (24 - 19) - (7 + -15).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 7) + (5 - 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -11. What is the nearest to -1 in 0.2, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/30*(-10)\/(-2). Let k(s) = -s**3 + 6*s**2 + 3*s - 15. Let x be k(a). Solve 2*o = -3*r + 6, 4*o = 5*r - x*r - 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 638*g**3*j**3 + g**3*j*z + g**3*z + 10052*g**2*j**2 - 253*g*j**3*z + j**3 + j**2 + j*z wrt j?\nAnswer: 3828*g**3 - 1518*g*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73815 and 12771105?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-6) + (-24)\/(-72). Let u be ((-2)\/6)\/((-8)\/6). Which is the third biggest value? (a) 0.4 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*k = -135*k + 311*k - 126*k - 1296 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*p = -10, 4*o - 5 = -0*o - 3*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -208 * -217196.\nAnswer: 45176768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -9 + 3 + -5 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443547 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 1, d: 2, t: 1, a: 1}. What is prob of sequence tza?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -3\/2, -5, 1\/7, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*a - 19, 3*r = -4*a - 15 - 4. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + f**4 + f**3 + 1 + 4*f - 7*f**4 - f in the form a*f + x*f**3 + l*f**2 + i*f**4 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + g**2 - 5*g**2 + (1 + 0 + 2)*(1 - 2*g**2 - 1) - 10*g**2 - 6*g**2 + 3*g**2 + (3*g**2 + 2 - 2)*(-2 + 4 - 1).\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 956553\nAnswer: -28\/956553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 5*x + 14589*x**2 - 4*x - 14751*x**2.\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.2. What is the third biggest value in 14, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186614 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -113. Let a be (b\/8)\/((-1)\/2). Solve -4*z - 8 = q, 0 = -q - 0*q + 4*z + a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -29*d**2 - 5*d + 57. Let v be t(10). Let x = v + 5130. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 515369 or 513605?\nAnswer: 513605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m. Let r = -177\/5 + 36. Is m smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to -24488\/5005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/5 - 21\/35)*-2. Let a be ((-6)\/(-4))\/(c\/8). Solve u + a = 3*r + 14, -r = -3*u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*n + 5, -3*d + 3*n = -2919. Suppose -d = 832*y - 833*y. Is y a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0 - 3*x**2 + 0*x**3 + 0*x + 1\/24*x**4. Let a(i) = -8*i. Give k(a(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10836.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1)*3\/(-2). Let n be (-49)\/(-14) - 1\/(-2). Sort y, 0, n.\nAnswer: y, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036 + -8.11.\nAnswer: -8.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) -4\/3 (c) -0.4 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/2)\/(1 - 0). Let d = -55 + 26. Let c = d - -33. Put -0.2, s, c in decreasing order.\nAnswer: c, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c. Let j(g) = g**3 + 4*g**2 + g - 1. Let h be j(-3). Let z(k) = 7*k. Let q(v) = h*b(v) + 6*z(v). Let p(a) = -3*a**2. Determine p(q(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u - 4. Let r be v(-3). Let f be (-2 + 5)*(-15)\/(-9). Is f < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 7 - 1) + (-29 - -28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 4*n + 6. Let h be c(6). Let l(x) = 2*x**2 + 13*x + 14. Let b be l(h). Solve 8 = -4*v - b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 a when three letters picked without replacement from {b: 3, a: 2, x: 3, k: 9}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 + 118. Suppose h*i = -48 - 37. Which is the closest to -2? (a) i (b) 5 (c) 0 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 2\/21 (b) 8\/5 (c) -0.46 (d) -1.7 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, 1, -0.5, 0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g + 1. Let c(r) = -8*r + 2. Let p(d) = -5*c(d) + 4*z(d). What is the units digit of p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d + 1\/6*d**3 - 1\/20*d**5 - 1\/2*d**2 + 0 + 0*d**4. Let w(t) = 3*t**3 - 3*t + 2. Give 2*f(p) + w(p).\nAnswer: p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkyykykvyvkv. What is prob of picking 1 i and 2 k?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -3. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461780177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**3 + 2*j**2 + 2*j + 38610. Is 270 a factor of d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -2 - (-612 + 8). Suppose -2*d + 5*p = -n, -2*d + 799 - 200 = -p. Calculate the remainder when d is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = f + 4, -f + 18*i + 24592 = f + 24574 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3960 and 1808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - (2 - (1 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 139.5. What is the fourth biggest value in s, -2\/7, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, -66, -1\/4, 25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:50 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -240.\nAnswer: -240.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23328 from 3.889.\nAnswer: -23324.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 - 52. Let a(y) = -18*y**2 - 206. Let i(v) = 3*a(v) - 11*j(v). Let h(t) = 17*t. Give h(i(n)).\nAnswer: 17*n**2 - 782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 5*u**3 + 9*u**2 + 10*u. Find the first derivative of y(r) wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.3 + -12.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -15*y - 28. Let t(q) = 7*q + 14. Let p(u) = 6*m(u) + 13*t(u). Calculate the remainder when p(23) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1367644164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a + 3. Let c = -9 - -2. Let v(f) = -15*f - 4. Let g(q) = c*u(q) - 5*v(q). Let w be g(1). Solve -3*d - 1 = 2*z, -4*z + 2 - 10 = w*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 25, 34, 43?\n\"Answer: 9*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-52 - (91 - 147) - ((1 - 0) + -5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - 4*u)*(-1 + 29 - 1 - 1 + 3 - 3 + (4 - 2 - 3)*(6 - 4 - 1)).\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geaag. Give prob of sequence ga.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10616 and 55\/12.\nAnswer: 31848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192.45942 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 - 646*y**4 + y**3 + 2*y**2 + 642*y**4 to f + i*y**3 + o*y**2 + b*y + c*y**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3004.4074 - -0.5\nAnswer: -3003.9074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.065, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/443385 and 19\/2171.\nAnswer: 5764005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d**2 + 8*d - 5. Let i(j) = -5*j + 1. Let y be i(1). Let c(h) = -5*h**2 + 3*h - 2. Let p(w) = y*k(w) + 11*c(w). Let p(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1007 divide 1400737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 3, -23.6, -37\/4, -0.5, 2\/9?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1088\/112608*3\/1.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.999945 + -3. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14261730 - 0?\nAnswer: 14261730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59212317 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/3 - 8182*x + 761887\/3 = 0.\nAnswer: -24577, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17183*y = 7298*y + 484365 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 962846 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 573 = 3*l + 364, l + 3*y = -307. Let h = -163 - l. Let q = -61 + h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f**3 - 31\/60*f**5 + 0 - 22*f**2 + 0*f**4 + 7\/120*f**6 + 0*f. What is the third derivative of m(k) wrt k?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*y + 27 = -174*y. Suppose -d + 0 = -4. Solve -5*o = -y*m + 16, d*m - 3*o + 2 = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bubo when four letters picked without replacement from bblqqooqulbolqqoqlq.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -19*m + 1. Let n be u(-1). Let y(l) = -l - 8. Let o be y(-13). Calculate the greatest common divisor of n and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*t**3 + 33*t**3 + 238*t**4 + 7903*t**2 - 44*t**3 - 1607*t**2 wrt t?\nAnswer: 5712*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11808 and 64?\nAnswer: 23616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {w: 3, z: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x)**5*x**(3\/10)\/x**4 assuming x is positive.\nAnswer: x**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 347025072 to the power of 1\/2, to the nearest integer?\nAnswer: 18629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22121 (base 7) in base 3?\nAnswer: 21121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 6.1, -15\/4?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527716 + 1181932 = 16*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 283426\/12870 - (11 - -2) - 9.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2217 - -56?\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3156 divided by -6?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 144*b**2 + b + 17. Let u(w) = 111*w**2. Determine k(u(l)).\nAnswer: 1774224*l**4 + 111*l**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15245469 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 divided by -3?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-90) + 141434\/(-530490). Is -1 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a, -3*m + 4*m = 3*a + 666. Suppose 0*s - 6*s = -m. List the prime factors of s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 11*v + 15. Let r be j(-7). Let t be (-4)\/26 + 115\/r. Which is the biggest value? (a) t (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634 not equal to 43292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 5. Let m be f(-6). Let u be -9 + -2 + 5 + (7 - 4). Let p be (-22)\/(-60) - m\/u. Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 2520*r**4 + 428320*r**3 - 25371440*r**2 + 140535600*r - 182971840 = 0 for r.\nAnswer: 2, 4, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y - 3*s - 10 = 0, -2*s = -2*y + 4. Suppose 33*p = 22*p + 52547. Suppose -3623 - p = -y*g. Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 5*a - 2. Let z be -3 - 8\/4*-4. Suppose -t - 14 = z*k, 0*k - 3*k = -2*t + 11. What is the units digit of w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5022\/5 - 18853\/20. Let c = n + -62. Let r = 0.07 + 0.43. Sort r, 0, c in increasing order.\nAnswer: c, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by 2.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 3. What is a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**4\/3 + 2*x**3\/3 - 104*x**2 - x. Suppose 0 = c + c + 2. Let w(k) = -k - 1. Determine c*j(g) - 4*w(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49517 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*b + 28*b + 312 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2285 + 11717. What are the prime factors of h?\nAnswer: 2, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**(-5\/7)*g))**(6\/5)*g**(6\/19)\/((g**(-6\/19)*g)\/g*g*g) assuming g is positive.\nAnswer: g**(1256\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -29562262.\nAnswer: -1\/29562262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2687.9597 rounded to the nearest 10?\nAnswer: -2690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4166, 4164, 4162, 4160, 4158?\n\"Answer: -2*w + 4168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19222522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117095 - 117101.00041. Let n = z + 6. Round n to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 16*n + 15. Let p be s(-21). Let m = p + -110. Let a be (-26)\/(-8) + 1\/(-4). Solve 0 = a*j - 5*l - m, 2*j - 9 - 6 = 5*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.867734 litres?\nAnswer: 8867.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.159 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 24*k**3 - 16*k**2 - 13*k + 5. Let m(g) = 6*g**3 - 4*g**2 - 3*g + 1. Give -26*m(a) + 6*x(a).\nAnswer: -12*a**3 + 8*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 - 8969*b**3 + 7399 with respect to b.\nAnswer: -4*b**3 - 26907*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -1. Let z = c + 0.7. What is the smallest value in z, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143831667?\nAnswer: 3, 7, 2203, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.11345 * 172702\nAnswer: -19593.0419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgc when three letters picked without replacement from {h: 4, c: 1, a: 1, g: 2, l: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 17. Find the second derivative of -12*b**4 - 9*b + 7*b**4 + b**h wrt b.\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 0)\/(1\/15). Let l(o) = -5*o**2 - 518*o + 226. Let z be l(-104). What is the greatest common factor of n and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -25*h + 147. What is c(10)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*z - 51213 = 1778*z - 235326 for z.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-11))\/(-73*26\/(-125268))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 9737.\nAnswer: 97370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -5, -2, -58, -0.15 in descending order.\nAnswer: -0.15, -2, -3, -5, -6, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 2307747.\nAnswer: 923098.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26344.95612 to the nearest integer.\nAnswer: -26345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -38. Let i = v - 14. Which is greater: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (15 + -16 - (0 - -13 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4217 + 4216.9998091. What is p rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 2*c = 5*g - 4, 26*g - 23*g - c - 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 22*n - 6. Let i(h) = -12*h - 3. Let z(j) = 4*i(j) - 2*w(j). Let x(v) = -18*v**2. Give x(z(c)).\nAnswer: -152352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 148*c - 147*c - 2*h, 2*c - 25*h + 156 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 48391821?\nAnswer: 4\/48391821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 11 = 2*v - 3*j, -j = -4*v + 43. Let n = v + -6. Let q(t) = -t + 3. Let m be q(n). Is m greater than or equal to 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = n - 3*j, -4*n + 3*j = -540 - 211. Solve -3*i = 175 - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*l + 3*l**3 - 351 + 75*l + 350 + 7*l**2 as s*l**2 + q*l + w + h*l**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h - 2*h**3 + 7*h - 3*h + 3*h**4 - 2*h**2 + 2 + h**4 to r*h**2 + n*h**4 + k + p*h**3 + j*h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1090*n. Let o(j) = 3*j**2 + 4191*j - 2. What is o(s(k))?\nAnswer: 3564300*k**2 + 4568190*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/526830 and -107\/49092.\nAnswer: 4310523060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.055 + 30.055. Let l = -30.0000055 + t. Round l to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five quarters of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y + 40. Let h be k(6). Let n(i) = 3*i + 225. List the prime factors of n(h).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7331 + 73403\/10. Let f be (-3)\/6 + 909\/1814. Let c = 80727\/3628 - f. Find the common denominator of i and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -4 + 3)\/(1\/25). Let d = -21 - y. What is the derivative of 3*a**4 + 319 + 12*a**d - 326 wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1060\/8480*((-16)\/(-6))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66695*p*q**6*t**2 - p*q**3*t + 2*p*q**2*t - 10*p*q**2 - 47*p*q*t**2 + p*t + 4*p wrt q?\nAnswer: -8003400*p*q**3*t**2 - 6*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167\/14396 + -5\/236. Do 0 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744496 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1294 + -1272. Solve 2*a + y = -4*u, -3*u - 2*u + 5*a + 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168896593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-4 - -2) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {b: 3, y: 2, l: 5}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 101111111001101011101011?\nAnswer: 101111111001101011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2. Let z(p) = 2*p**2 - 422. Calculate o(z(g)).\nAnswer: 4*g**4 - 1688*g**2 + 178084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 73.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**6\/15 - 7*s**5\/5 - 67*s**4\/6 - 88*s**3\/3 - 36*s**2 + 253*s - 14. Determine j, given that h(j) = 0.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + y - 2508 = 0, -3*u - 2508 = -5*u - 4*y. Suppose -u = 40*w - 43*w. What are the prime factors of w?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 19 = 12*t, 179*t = 177*t - 2*l - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1083712 divided by -4.\nAnswer: 270928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11666 - -11692. Solve 10*h + f + 4 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2407*h**2 + 13680*h - 1.\nAnswer: 4814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let p(m) = m**3 - 9*m**2 + m - 1. Let a be p(9). Let i = -7 + 1. Let h = i - -94. Calculate the greatest common divisor of a and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99799545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:08 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2. Let u(k) = -12823474*k. What is u(o(h))?\nAnswer: 25646948*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 360488?\nAnswer: 1441952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + -0.1. Let w = y - -0.8. What is the nearest to w in 0.5, -3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/1 - (-6 - (-1)\/((-78)\/(-1026)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l = 45. Calculate the smallest common multiple of 8 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 65*f + 3 + 147*f - 3.\nAnswer: 82*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {k: 2, e: 1, x: 1, g: 2, l: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 20, -5*r = -3*r + 5*a - 295. Suppose 0 = 22*s + 5*s - r. Solve 0 = -s*i - 2*o - 4 + 35, 0 = 2*o - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from ietetlz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 615 = -1110. Suppose 0 = 2*f - f + 5. Let z be 3\/f - 345\/s. Solve -q + 3 = -2*l + 5*l, -z*q - l + 1 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9057*j**2. Let b(m) = 3*m**2. Give b(z(l)).\nAnswer: 246087747*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682406, 1364811, 2047216, 2729621?\nAnswer: 3412026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11082475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43557, 43990, 44421, 44850, 45277, 45702, 46125?\nAnswer: 46546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(192) - (sqrt(192) + -5)) - (-4 + sqrt(192))*-4).\nAnswer: -36 + 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1995.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 + 9.8. Let o = -3.80807 + -8.1919335. Let y = o + n. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600 = -7*s + 656 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404*v - 387*v + 51 = 0. Put -4, v, -7, 1 in decreasing order.\nAnswer: 1, v, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -19. Let p = m - -5. Let n = 915.8 - 916. Which is the second smallest value? (a) -0.8 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 5260.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:59 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6327 - 14?\nAnswer: -6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxxmm. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18119\/11 + 1647. Which is the smallest value? (a) h (b) 0.1 (c) 0.093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*-2*5*((sqrt(833) - 1*(sqrt(833)*-1 + sqrt(833))**2) + ((-1 + sqrt(833))*4)**2)*3.\nAnswer: -19530*sqrt(17) + 1200964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*o + 17 - 17)*(-4*o - o - o + (1 - 3 + 0)*(o + 3 - 3)).\nAnswer: -288*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeo when three letters picked without replacement from eeoeeoeeeooeoeeeee.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 93*p**2 + 702*p + 5. What is the least common multiple of w(-37) and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:35 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934563 is divided by 620.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 273 and -5971?\nAnswer: -1630083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/17 - 3810*z**2\/17 - 1842750*z\/17 - 26790750\/17.\nAnswer: -2*(z + 15)*(z + 945)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -11*s. What is the first derivative of -2 - 11 + s - 1 + 27*m wrt m?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39\/154 - 1\/14. Suppose 5*r = r + 5*o, 0 = -2*r - 4*o. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 29. Suppose 4*g = r*g. Let p = -0.2 - -0.3. Is g greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1107 - -628. Let f = u - -479.000001012. Round f to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -7. Let w = 0.71 - -0.19. Let g = -0.4 + w. Which is the nearest to 1? (a) g (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5256*o**2 - 1072 + 1072.\nAnswer: -5256*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 31. Let w be y(0). Let j be 4\/(-16) + (-706)\/(-8). Let r = 92 - j. Solve 76 - w = -5*v + 4*q, 5 = r*v + 5*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:56 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.05, 2, 1, -107\/4356 in decreasing order.\nAnswer: 3, 2, 1, 0.05, -107\/4356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:37 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 161942.\nAnswer: 1\/161942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/(-68) - (-77)\/(-184)*2. What is the closest to -1 in 2.5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49835792, 49835791, 49835790, 49835789?\n\"Answer: -x + 49835793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 26. Let y(g) = -u*g**2 + 7*g - g - 6*g. Let k(z) be the second derivative of -z**3\/3 + 3*z. Give y(k(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6740156 by 2.\nAnswer: -3370078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5999868 and 61\/12.\nAnswer: 5999868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 120302, 120465, 120738, 121121, 121614, 122217, 122930?\n\"Answer: 55*l**2 - 2*l + 120249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 3. Let g(d) = 2*d**2 - d - 731. Determine g(v) - n(v).\nAnswer: 2*v**2 + 2*v - 728","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -911 or -1219?\nAnswer: -911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5\/10*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 774\/(-45) + 17 - ((-92)\/(-70))\/2.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3647.996mm to micrometers.\nAnswer: 3647996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, l: 1, h: 4}. Give prob of sequence laha.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -85094209?\nAnswer: 4\/85094209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -794, -793, -792, -791?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -373541863\nAnswer: 373541860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 906403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*q + 3*q. Suppose -60 - 99 = -q*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 37. What is the lowest common multiple of 12 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 170 = -12*j. Suppose 5*i - 2*i = -357. Let s = j - i. Solve -5*v - s + 9 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12935 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 1292871.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330849437 less than 1330849436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + (4*sqrt(1008)*-1 + sqrt(1008) + sqrt(1008))*-5 + -3)*6)**2.\nAnswer: -1080000*sqrt(7) + 90742500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -5465?\nAnswer: 5470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 2.65\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5))**(-11)\/((l*l\/(l*l*l**(-3\/2)*l*l*l))\/(l**(2\/3)*l)))**(-28\/9) assuming l is positive.\nAnswer: l**(-3178\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**4 + 0*w**2 + w**2 + 2 - 2*w**2 - 14*w**4 - w to y*w + b*w**2 + g*w**4 + s*w**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 654624 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 35999431?\nAnswer: 35999431.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*p = -7, 5*s = 3*p - 4 - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - -361. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-11)*5\/(-80)*-4*-44\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9832*z + 29*z**2 - 9832*z.\nAnswer: 29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5))**(2\/47)\/(((h*h**(1\/9))\/h)\/h)**(-1\/7))**24 assuming h is positive.\nAnswer: h**(-8048\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6211 + 463.7289. Round a to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -38*c + 52. Let d(i) = -7*i - 3. What is the remainder when d(-4) is divided by k(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u + u)*(-4*u + 3 - 3) + (-2*u - 2*u + 3*u)*(1 - 1 + 2*u) - 4*u**2 + u - u.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 238 = 4*o + 2*u, u - 154 = 2*o. Let f be 1\/60 + 13\/o. Which is the closest to f? (a) -3\/5 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*(-63)\/6. Let t = z - 4. What is the highest common divisor of 9 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04967 + 0.1.\nAnswer: 0.05033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(2*sqrt(1573) + -3 + (sqrt(13) - (sqrt(52) + 3)) + 2)**2.\nAnswer: -22996 + 672*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 50*q**2 + 18*q + 9. Let g be x(-6). Calculate the greatest common divisor of g and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3016 + 15?\nAnswer: 3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4 + 8*g**2 - 22*g**2 - 17*g + 7*g**2 - 4*g**2 + 20*g. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 5. Let p(y) = -6*y**3 - y**2 + 1. Let x be p(1). What is the remainder when d(x) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + c - 7, -c = 2*c - 15. Let b = -129 - -643\/5. What is the nearest to z in -3\/4, -5, b?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctdd when four letters picked without replacement from {t: 2, d: 10, f: 2, c: 2, u: 2, y: 1}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -11*c - 43. Let q = -1 + 1. Solve q*m - m = c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/11 - 28*y\/11 + 64\/11 = 0. Calculate y.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/23, -11, 19, 1547, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -167, -258, -363, -482?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -62*k - 108. Is q(-9) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 796221?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18 + -7)*(-1)\/(-1). Let v(c) = 3*c + 1. Let w be v(-11). Let x = d - w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 36 = -f. Let x = 30 - f. What is the highest common divisor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 3*r**4 - 6*r**4 - 2*r**3 + 2*r - 32141*r**2 + 32134*r**2 + 2*r**3 as g*r**2 + m*r**3 + d*r**4 + k*r + u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3265 and 0.27?\nAnswer: -881.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(0 + (-1)\/2). Suppose 2*q + 5 - 7 = 0. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 1, t: 4}. Give prob of picking 1 b and 1 t.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16118, -16119, -16120?\n\"Answer: -w - 16117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 95\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1 + 0*r**2 + 3*r + r**2 - 4*r. Let u be o(0). Let m be ((-2)\/(6\/9))\/u. Solve 0 = m*t - 2*j + 3, 0 = 2*t - 0*t - 2*j + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 2, p: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 8) to base 4\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61242981 bigger than 61242985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/19, 0.4, -0.1 in descending order.\nAnswer: 0.4, 3\/19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15475*s**2 - 51542.\nAnswer: -30950*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:27 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1092 divided by -129\nAnswer: 364\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2838577669805*t**3 - 2838555065735*t**2 - 22604025*t - 45 = 0. What is t?\nAnswer: -3\/753469, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 6:39 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -8. Suppose t - j = -0*t. Is t >= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 21*r**2 + 46*r + 29. Calculate the remainder when 1273 is divided by y(23).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -16. Find the second derivative of -3*y**x - y + y + 2*y + 2*y**5 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15101614285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 11\/2231, 1\/5 in descending order.\nAnswer: 114, 1\/5, 11\/2231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 2}. What is prob of sequence tx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3770 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185791.\nAnswer: 47, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1630070899 + -1630070836.999999296. Let u = 0.621 + 61.379. Let g = j - u. What is g rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170244 is divided by 192.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mflv when four letters picked without replacement from vbvfhfffblmm.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Let f be -2 + 2 - (r - -2). Let j(z) = 2*z**3 - z. Let c be j(-1). Is c greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cb98 (base 16) to base 14\nAnswer: -14dcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*0*3\/(-6). Suppose u*f = f. Solve f = -q + 2 - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) 0.2 (c) 7\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(1 + 2 - 2)*(1138*j + 195*j + 1566*j - 222*j).\nAnswer: 5354*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13. Let v = 1378\/285663 + 1\/1561. Are r and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23227 (base 9) to base 6\nAnswer: -155424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2468 - -2431. Which is the nearest to 3? (a) f (b) 5 (c) 1\/2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 + 12 = 0. Suppose 0 = p*w + 2*w + 30. Let g(b) = -b + 7. Let z be g(w). Solve -4*l = -5*o + 23, 3*l = 5*o - 8 - z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**4\/12 + 5787*l. Let c(i) = 1761*i. Give c(m(u)).\nAnswer: -1761*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3089 - 3072.17. Let b = 2.37 + p. What is b rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + i**4 - i**4 + (2*i - i - 2*i)*(-2*i**2 - 2*i**3 + 2*i**2) - i**4 - i + i.\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-975)\/(-429) + 3\/(-11). Let x(j) be the first derivative of -2*j**2 - j**4 + j + 1\/5*j**5 + o*j**3 + 3. Suppose x(t) = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157\/2*l - 159 + 1\/2*l**2.\nAnswer: (l - 2)*(l + 159)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.78308 to two decimal places.\nAnswer: -43.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1542 + -1544. What is the nearest to p in 3, -1\/4, 2\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6976 divided by 436.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:30 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*z - 540 - 62, -3*p = 5*z + 1441. Let o(r) = -22*r**3 - 3*r**2 + r - 1. Let j be o(2). Let b = j - z. What are the prime factors of b?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*g + 934 = 0, -460 = -2*v - 0*g + 2*g. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1897 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 2*s**2 - 3*s**2 in the form l*s**2 + m + t*s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(2 + (-7)\/2). Suppose -3*m = f, -38 = -7*r + 3*r + 2*m. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10851 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/8 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 331 + -287. Calculate the greatest common divisor of 319 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7343*z**5 - 213*z**4 + 4566*z**2 - 2*z - 23642 wrt z.\nAnswer: 440580*z**2 - 5112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1402899084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:08 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.5384ml to litres.\nAnswer: 0.0155384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raur when four letters picked without replacement from {a: 4, u: 8, r: 2}?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217*w*z**4 - w*z**2 - 5013*w + 534*z**6 + z**2 + z wrt z?\nAnswer: 5208*w*z + 64080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -586 (b) 40 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + 59 + -44.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 6*t**2 + 4*t.\nAnswer: 2*t*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435.\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 8. Let h = 79 - l. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2. Let b(y) be the third derivative of -y**5\/60 - 37*y**4\/24 - 57*y**2. Give b(c(t)).\nAnswer: -t**4 - 37*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4295 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:48 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 395641\/3*f**2 - 1\/3*f**5 + 0*f + 0 + 1259\/3*f**4 - 396899\/3*f**3 = 0. What is f?\nAnswer: 0, 1, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (0 + 250\/90). Which is the third biggest value? (a) -1 (b) 81 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k + 4*o - 24, 3*k + 5*o = -10. Let f = 0.4 + 0. Let s = 2\/9 + -4\/99. Which is the third biggest value? (a) k (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58031*b**5 - 85*b**2 + 7721149*b?\nAnswer: -1160620*b**3 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (sqrt(76) - sqrt(19)) + sqrt(76)\/sqrt(4) + 3 + -3 + sqrt(2299)*1)**2.\nAnswer: -416*sqrt(19) + 12908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (65230\/(-26092))\/(145*-1)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44*-23\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -221, -1, 5 in increasing order.\nAnswer: -221, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 213597.143 rounded to the nearest one hundred?\nAnswer: 213600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001162957 rounded to six dps?\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1456 and 130208.\nAnswer: 911456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/60 - 3*y**5\/10 - 2*y**4\/3 + 2*y**3\/3 - 9*y**2. Let n be t(10). Calculate the highest common divisor of 352 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2581*c = -1379*c - 4535*c + 547*c + 770956 for c.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-6)\/4 + 1). Let w(c) = c**3 + 4*c**2 + 4*c + 6. Let a be w(o). Let z be (-33)\/(-2) - (-5)\/a. Calculate the greatest common divisor of z and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + 18*u**2 + u + 19. Suppose t + 2 - 11 = -l, 2*l - 3*t = -7. What is the least common multiple of y(-9) and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 370, -3, 5, 0 in decreasing order.\nAnswer: 370, 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.1068?\nAnswer: -0.1068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -5128728.\nAnswer: 5\/5128728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2. Let o = 19 + -5. Suppose 5*d - 4 = -o. Let a(l) = l + 2. Let y(s) = -3*s - 5. Let h(f) = d*y(f) - 5*a(f). Determine z(h(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 107348500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -18*o - 3. Let p be u(-1). Let j(q) = 7 + p + q - 16. Let k(h) = -3. Give 2*j(b) + 5*k(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2402?\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/(6\/8). Let r = 7328 - 7329. Which is the closest to -0.1? (a) x (b) -6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -65890*t**2. Let r(m) = -2*m. Give r(u(d)).\nAnswer: 131780*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 40909\/7, 5, -0.13 in decreasing order.\nAnswer: 40909\/7, 5, 1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiwiwiiiwwiiw.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 10*f + 17. Let x = 0 - -9. Let m be n(x). Suppose -m*r - 93 = -469. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12136 = -3*n + 5*w, -1753 = -2*n - 4*w + 6301. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*m - 19, -2*m - 12 = m. Solve -5 = 4*u + f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3.19, 393, -5?\nAnswer: -3.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -109947 and -0.0265081.\nAnswer: -109947.0265081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z**3 + 7*z**2 + 6*z + 7. Let o(q) = 8*q**3 + 4*q**2 + 3*q + 4. Determine -4*k(j) + 7*o(j).\nAnswer: -4*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 170119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(3 - 4 - 1)*(-4*q**4 + q**4 + 8*q**4).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/3 - 15*f**2\/2 + 6*f + 768. Determine p(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 528, 474, 384, 258, 96, -102, -336?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3060, -12244, -27562, -49014?\nAnswer: -76600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -6513 (base 7) in base 3?\nAnswer: -10011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6611 - 51.3389. What is the third smallest value in -12, -5, -0.1, f, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 2*n**2 - 4*n**3 + 2*n**2 + 8.\nAnswer: -4*n**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -20*c**2 - 5*c + 5. Let i(g) = -g**2 - g + 1. Calculate -10*i(n) + 2*r(n).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from gylhs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.15 + 1.95. Which is the nearest to q? (a) 3 (b) 3\/4 (c) -0.5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5363?\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -983\/2261 + 2\/323. Let c(k) = -k**3 - 5*k**2 - 4*k - 5. Let d be c(-5). Let m be 38\/(-78) - (-5)\/d. What is the closest to 0 in z, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = o - 16. Calculate the remainder when 30 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)\/q**(-29))\/(q**(7\/4))**(-3\/38) assuming q is positive.\nAnswer: q**(13439\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -66, 0, -5 in descending order.\nAnswer: 4, 0, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and -4940.\nAnswer: -370500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63118 - -68?\nAnswer: 63181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*v + 8 = 0, -383*z = -378*z + 4*v + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 2*j**2 - 6*j + 4. Let l be f(2). Which is the biggest value? (a) 0.0041 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.7, 3, -34, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/2 - 4048*l**3 - 16189*l**2\/2 - 4047*l = 0.\nAnswer: -8094, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7206.019 - 7199. Let s = -7 + f. What is s rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 31*w**2 - 1. Let d be 22\/(-18) - 4\/(-18). What is the remainder when j(d) is divided by 7\/(-10 - -17) - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484) - -4*sqrt(484)*3)\/sqrt(11))\/(((sqrt(336)*-2)\/sqrt(12))\/sqrt(7)).\nAnswer: -13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534398.\nAnswer: 2, 267199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.482 and 13226.0046?\nAnswer: 13225.5226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxefxxxexxfxexxefxx. Give prob of picking 2 e and 1 x.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, -0.1, 8623?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 3. Let u be o(-5). Let b be (-4 - u)*5\/4. Let y(w) = -w + 4. Let k be y(3). Solve -k = 2*f + b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.18, -1\/5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 195?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {c: 6, a: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7*1092\/147*103\/4 is divided by 193.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 14180 + 6895. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7558*d**4 + 3*d + 81412 wrt d?\nAnswer: 30232*d**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 equal to 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.13 + 196.13. Let u = b + -191.9094. Round u to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14) + 651\/(-2352)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(13) + sqrt(104)\/sqrt(8)*-4 + sqrt(13) - -6*sqrt(325)) + (sqrt(208) + 3)*2)**2.\nAnswer: 360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -593220892*t**4 + 394995*t**2 - 345*t wrt t?\nAnswer: -14237301408*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -511865*x**3 - 8459*x + 8.\nAnswer: -3071190*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0 + u**2 + 1\/20*u**5 - u + 1\/4*u**4 + 2\/3*u**3. Give h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 3*k. Let v be c(3). Suppose v = 19*q + 3*q - 880. What is the smallest common multiple of 24 and q?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 972 = 2*s - 7*s, -2*h = 4*s - 936. What are the prime factors of h?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 - -236.735. Let t = 0.465 + r. Which is the nearest to 4? (a) 1\/4 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/8 + 5\/(-40) + 5. Solve s = 6 - k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -260653\/6 + 43464. Find the common denominator of 169\/8220 and l.\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/31)*t*t*t*t*t\/t**(1\/7))\/(t**(-7\/5))**38)**(-2\/5) assuming t is positive.\nAnswer: t**(-126124\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063572747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -21, -5 in descending order.\nAnswer: 5, -1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/11 - 878*s**2\/11 + 17404*s\/11 = 0 for s.\nAnswer: -458, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/5 - 3\/15. Let a(u) = -2*u**2 - 4*u + 3. Let d(w) = w - 1. Determine l*a(r) - 3*d(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47603209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 77. Let b(y) = -543*y - 1. List the prime factors of b(n).\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*c - 149 = 0, -3*q + 4*q - c = 27. Let x = 47 + 40. Calculate the highest common factor of q and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 99528, 4, -2 in decreasing order.\nAnswer: 99528, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (3 - (0 + 7)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3 - 1\/360*t**6 - 1\/24*t**4 + t**2 + 0*t - 1\/18*t**3 - 1\/60*t**5. Let r(u) be the second derivative of h(u). Factor r(b).\nAnswer: -(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 21*y**2 - 16*y + 16. Let o(a) = -4*a**2 + 4*a - 4. Let f(b) = 4*o(b) + s(b). Let u(z) = 651*z**2. Calculate u(f(i)).\nAnswer: 16275*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 9*q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -s + 42 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -788 + 2841. Is w 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 10:12 PM and 4:26 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2775406, -5550798, -8326190, -11101582?\n\"Answer: -2775392*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/(10\/(-50)). Suppose 0 = -v*k + 172 + 128. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2021*m - 1499*m - 14141*m**2 + 14138*m**2.\nAnswer: -3*m**2 + 522*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, p: 11}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 10*h + 14. Let r be v(-7). Let b(a) = -27*a - 111. Is b(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1313\/195)\/(-101)*465.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**0))**(-18)\/(s**(4\/9)\/(s**(3\/14)*s)) assuming s is positive.\nAnswer: s**(97\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324809 is divided by 15466?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129350 or 129901?\nAnswer: 129901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2, 30, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v + 1. Let i be x(1). Let s = -250 - -270. List the prime factors of 9\/i*s\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 + 47 = 33*m + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10170695 to the power of 1\/2, to the nearest integer?\nAnswer: 3189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409889007 to the power of 1\/2, to the nearest integer?\nAnswer: 66407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, j: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43721, 43176, 42631, 42086, 41541?\n\"Answer: -545*n + 44266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675562 = -26*r + 453027 + 296445. List the prime factors of r.\nAnswer: 23, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928102 is divided by 424?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, e: 2}. Give prob of picking 1 e and 1 z.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, k: 1, m: 3, g: 6, q: 2}. Give prob of sequence qkq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18\/96*10\/(-120)*-22*-4\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*f**2 + 1980*f - 259*f**2 + 132*f**2 + f**3 to a*f**2 + q + p*f + s*f**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 26640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 714015796?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/263748 and 115\/483538.\nAnswer: 2901228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58727 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {r: 1, p: 1, g: 1, s: 2, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*o + 45, 10*o + 9 = 13*o + t. Solve -1054*r + 1055*r + 2 = o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26875669 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 284642 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2414\/(-238))\/(-2 + 10\/7) - 48\/64?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l - 4*w + 40 = 0, -45 = -5*l - 4*w. Suppose -5*x - 2*m + 22 = -42, 58 = l*x - m. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3265241 is divided by 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 7980211823?\nAnswer: -7980211818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b + 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86018524 by 61973.\nAnswer: -1388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -6*(-6)\/9 + 0. Let n be (-39)\/(-18)*-59 + o\/14. Let x = n + 701\/6. Which is the fourth biggest value? (a) -3\/2 (b) -0.3 (c) x (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-14))\/(552\/(-483)). Sort -5, -1\/5, 2\/51, o, 1\/5 in descending order.\nAnswer: 1\/5, 2\/51, -1\/5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1747567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43730590 = -351*m + 102270814 + 154551823. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/36 and (-1 - (-7)\/10)*(-142)\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 3\/7, 540, -5, 2\/13 in decreasing order.\nAnswer: 540, 6\/5, 3\/7, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 300883 + -5?\nAnswer: 300877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -21*a**3 - 91*a**2\/2 - 34. Find the second derivative of y(g) wrt g.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 12*q - 1568*q**2 - 4*q - 1563*q**2 + 3124*q**2 + 7*q**4 to the form s*q + m*q**4 + b*q**2 + t*q**3 + c and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931557.\nAnswer: 3, 11, 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 123 (b) 4 (c) 0.2 (d) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 160*l - 1836. What is y(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/3 + 11*f**4\/3 + 31*f**3\/3 - 19*f**2\/3 - 104*f\/3 + 80\/3 = 0. Calculate f.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20700311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -s - 1524180, -3*y - 1222021 = -4*s + 1064227. Let a = -123782 + 71694. Let n = y - a. Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*i - 1032, -2*i = -3*i - 4. Let q = -152 + 37. Let y = q + p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49209*g**2 + 67965*g?\nAnswer: -98418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:58 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12319611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w + 53*w + 2014 = -25*w. Put 3\/2, w, 3\/4, -0.5, 0.4 in decreasing order.\nAnswer: 3\/2, 3\/4, 0.4, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 - 11*c + 4. Calculate t(3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 16*w**2 + 18*w + 12. Let r be k(-17). Let f = -19 + -25. Let n be (3\/6)\/(1*4\/f). Which is bigger: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3 - (-3 - -6). Solve 2\/3*w + 4\/3*w**h - 2\/3 = 0 for w.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383947 is divided by 595981.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9318*h. Let g(z) = 6*z. Determine g(u(v)).\nAnswer: 55908*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let m(g) = -2*g - 4. Let q be m(c). Let f(z) = -4*z**2 + 5*z**2 - 3*z**q. Let w(k) = 2*k**2. Calculate w(f(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9190.904 centuries to decades.\nAnswer: 91909.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/15 + (-455)\/(-3). Let x(f) = -f**2 - 53 + 2*f + 111 - g*f**3 - 55. Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 0 + -2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (12 - (0 - -2)). Let n be 6\/(-40)*(-5)\/j. Suppose 3*z = 2*z. Which is greater: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8365 and 178467275.\nAnswer: 178467275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*f - 6, -4*f + 11 = -3*n + 8*n. Suppose -175 = -n*v + 389. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - q - 7 = 0, -h + 0*h + 5*q = -7. Let v be h - (2 + 2)\/(-2). Solve -v*x + 3 + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69361\/66 + 3148\/3. Let p = -453351 + 108803219\/240. Let f = p - -1\/240. Find the common denominator of m and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12072*z**2 - 11203*z**2 - 13622*z**2 + 39007*z**2.\nAnswer: 2110*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 2124*z - 845883.\nAnswer: -(z - 1593)*(z - 531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/43 (b) -3 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.084 + -0.084. Let p = 2.9 - -1.1. Which is the second smallest value? (a) p (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = -16347*d + 16367*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3018, 6024, 9020, 12006, 14982, 17948, 20904?\n\"Answer: -5*q**2 + 3021*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -419 <= -420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 0*p**2 + 92 + 288 + 3*p**3.\nAnswer: 3*p**3 - p**2 + 380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(19\/4)\/w)*w*w**(29\/4) assuming w is positive.\nAnswer: w**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q - 7. Suppose -j - q*i + 17 = 0, -4*i + 2 = -j - 9. What is the remainder when 9 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58589*f - 789*f**2 + 1 - 58589*f.\nAnswer: -789*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 59. Solve -s*n = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/((f**(1\/5)\/f)\/f)*f)\/f)\/f**5)\/(f\/((f\/f**(1\/4))\/f)*f*(f*f**(-22)*f*f)\/f*f))**(-13\/4) assuming f is positive.\nAnswer: f**(-3783\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2722, -5448, -8182, -10924, -13674?\n\"Answer: -4*y**2 - 2714*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = -3*x + 2*i, 5*x = -2*i + 17. Suppose x - 5 = -t. What is the units digit of -3*(t + (-3 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11928825 or 11928818?\nAnswer: 11928818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Let t(d) = 2*d - 2. Let j(y) = y - 2. Let v(z) = -6*j(z) + 4*t(z). What is the units digit of v(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19777 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-1)\/1 - 6. Let i be h\/36 - 43\/9. What are the prime factors of 1 + (-1 - (i - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68e (base 15) to base 2\nAnswer: -10111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8338*w + 8382*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by 1.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454 + 466 = 3*t. Suppose -78 = 6*o - 9*o. Suppose o = -5*c + 86. Solve t*w = -0*w + 4*b - c, 20 = 4*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*a - 40. Let l(k) = k - k + 37*k**2 + 0 + 1. Calculate the remainder when l(-1) is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-22)\/(308\/42) - -41877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*k - 2192 = 0, 71*c = 73*c - k - 1096. Calculate the smallest common multiple of ((-7)\/(-14))\/((-1)\/(-2)) - -11 and c.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2767833 - -392.535.\nAnswer: -2767440.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10010, 39850, 89558, 159110, 248482, 357650?\nAnswer: 486590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1333311?\nAnswer: 1333300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2)\/((-3)\/(-6)). Suppose 0 = 5*h + 5*t - 170, -m*t - 14 = -h - t. Let j be (h\/8)\/((-3)\/(-8)). Solve d - j = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 2*r + 2. Let x be s(2). Calculate the common denominator of (-138)\/15*(-3)\/x and 25\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-15)*120\/(-210)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/6))\/l*((l\/(l\/(l*l\/((l*l*l*l*l\/l**(1\/20))\/l))*l))\/l)\/l)\/(l**12*l*l**(1\/21)))**(-7\/5) assuming l is positive.\nAnswer: l**(7489\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -1\/5, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 210*y + 233. Is u(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-1)*u)**(-1\/7)\/(u**(2\/5)*u**3))**(20\/9) assuming u is positive.\nAnswer: u**(-556\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esqee. Give prob of picking 1 q and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7274*q - 7233*q + 1968 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-329)\/(-4) + 7\/(-28). What is l rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*q + 22*q = -1924 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 693, 1387, 2079, 2769, 3457?\n\"Answer: -y**2 + 697*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 9*f. Let b(s) = -s**3 + 34*s**2 + 2*s - 76. Let z be b(34). Give i(z).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381220 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8135 - 20514. Let c = m - -19076. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 = -14. Suppose 0 = -3*m + 3, i*m + 0*m + 12 = 5*t. Solve -q = 2*y - 2, 0 = t*q - 3*y + 2*y + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 1204.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*c = -c - 341, -5*c = -5. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 + 40 = 17*c - 323. What is the greatest common divisor of c and 2881?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*r - 88 = 0, 0*r = 4*f - r - 86. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 396*j*x**3*z**4 + 7*j*x**3*z**2 - j*x*z**2 + 36*x**3*z**2 + x*z**5 wrt z.\nAnswer: 9504*j*x**3*z + 60*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*l - 3581, 16*z = 17*z - 3*l - 727. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(272) - 5*sqrt(17)*-1.\nAnswer: 2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5718358 - -5\nAnswer: -5718353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, -1.2, -73?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -37, 0, 4 in ascending order.\nAnswer: -37, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 4, y: 7, f: 1, p: 8}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/20 - (-1)\/(-4)*-7. Suppose -w + 152 = -2*p, -2*w + 588 = q*w - 4*p. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -2.5008 (c) -81.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/8 + 105485*b\/4.\nAnswer: b*(b + 210970)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2321032022 (base 4) to base 15.\nAnswer: -eebcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5860964382 + 5860964350.00000133. Let l = r + 32. What is l rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-128)\/126 - (-21)\/35. Let p = m + 1\/63. Which is the closest to 3? (a) 1\/2 (b) 7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 109*h**2 - 155*h + 217. Determine c(-53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 138*i + 1. Let w = -11 + 15. Is h(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 36*o**2 + 612*o + 3714. Calculate h(-9).\nAnswer: 1122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 20. Let q(r) = -14*r + 168. Suppose -16*v + 116 + 60 = 0. Let f be q(v). What is u(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4507 and 3.\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32200 and 447650?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 128 - 32 = -4*m, 5*m - 4*b = 200. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/5 - 11*f**4\/6 + 11*f**2 + f. Find the second derivative of j(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212000 (base 5) to base 4.\nAnswer: 21113213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-20)*3*440\/(-336)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/5040 + 2*r**5\/15 - 8*r**2. Let y(l) be the third derivative of b(l). Let h(m) = 5*m**2. What is y(h(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w + 15. Suppose 27 = w*m + 6. Let c(i) = -2*i**2 - 22*i + 21. Let u be c(-11). What is the greatest common divisor of m and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j**3 + 624688*j**2 - 29558612*j + 28933960 = 0. What is j?\nAnswer: 1, 418\/9, 17305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4360651t?\nAnswer: 436065100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -456885221*s**6 + 16*s**2 - 20*s + 11144?\nAnswer: -54826226520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9) + (-10)\/(-6). Let p = -1 + -1. List the prime factors of h - 1\/(p\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 4*y + 4. Let a(g) = 3*g + 3. Let i(r) = 9*r + 49. Let d be i(-5). Let f be (0 - (4 + 1)\/5)*d. Give f*a(c) + 3*b(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 10) to base 16\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, -25 in decreasing order.\nAnswer: 0, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*p + 865 + 478 + 493 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = 2*r. Let w be (1\/2)\/((-3)\/(-168)). Suppose -r*q = 3*m - 5*m + w, -m - 3*q = 8. Solve -4*t + m = 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 3, -1.9, 0.5, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 13052420?\nAnswer: 13052420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (146 - 1) + -2 - 2. Let z = -82 + r. Suppose -3*l + 82 = -z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0135891082 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*n - 29 + 102*n + 12 + 15 - 160*n.\nAnswer: 91*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from {z: 1, l: 2, h: 1, n: 1, g: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v - 13*i = -18*i - 444, 3*i - 117 = -193*v + 189*v for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1913262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 16*t + 12. Let d be (-4)\/8 - ((-71)\/(-10) - (-42)\/(-70)). Give q(d).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142582041 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 320061621 to the power of 1\/2, to the nearest integer?\nAnswer: 17890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + ((sqrt(1008) - sqrt(1008)*-2)*3 + 2)**2)*-1.\nAnswer: -81654 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3009493 and 1678?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, 214, -4, 329, -1, -2 in descending order.\nAnswer: 329, 214, 3, -1, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 76*q - 140. Calculate the remainder when c(47) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 2*k**2 + 2*k - 2. Let v be n(2). Solve 0 = v*y - 5*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**4 - 2*y**3 - 10*y**2 - 14*y - 8. Let t(r) = 4*r**4 - 3*r**3 - 19*r**2 - 27*r - 15. Let q(d) = -7*f(d) + 4*t(d). Suppose q(j) = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l + 5*x + 18, 4*x + 20 = 2*l. Solve 3*o - l = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1500509 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose -2*b - 2*b + 8 = y. Let p(l) = -l**b - 2*l + 2*l - 3*l. Calculate p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + x**2 + 4. Let j be z(0). What is the units digit of ((-5025)\/(-20))\/(-6*j\/(-96))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = s - 0, 0 = 3*s - 5*q - 29. Suppose -z + 55 + s = 0. Calculate the remainder when z is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Suppose -3*a = 5*l - 8*a, 2*l = d*a. Let t(y) = -2*y + 4*y + 2 + l*y - 3*y**2. Calculate t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-5))\/(57*(-26)\/(-2470)). Put -1, 7, 5, 41, k in decreasing order.\nAnswer: 41, 7, 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2732 + -1?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/21 + 43*r**2\/14 + 36*r - 1467. Factor n(h).\nAnswer: (h + 7)*(h + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 5*r + 11 + 9, 4*i = -r - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2249982 and 10731?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-4 + 5) - 16) + 80 + -69.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 3*j**2 - 10*j + 3. Calculate g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - -17.98. Which is the third smallest value? (a) 2\/9 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3372*a**5 - 41*a + 2 wrt a?\nAnswer: -67440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(108)*-2)**2 + 2)*-4.\nAnswer: -62216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 38\/23227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, a: 3}. What is prob of sequence aama?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*i - 0*i + 46, -4*w + 110 = 2*i. Let s = w - 10. List the prime factors of (4\/s*-31)\/(2\/(-24)).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let o(m) = -9*m. Let z(x) = -15*d(x) - o(x). Let s(w) = w. Calculate z(s(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101200111 + 1?\nAnswer: -2101200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkksjkssjkffffds. What is prob of picking 2 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, y: 2, v: 1, t: 1, n: 1}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 407 - -202?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1102, 1056, 1010, 964, 918, 872?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/109908 and -131\/183180?\nAnswer: 549540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4008724474 less than -0.0425?\nAnswer: -0.4433724474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 123285887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**20\/v))\/v**18 assuming v is positive.\nAnswer: v**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {t: 1, v: 3, z: 1, u: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22202012 - 1121020121?\nAnswer: -1021111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*t - 78, 615*t - 675*t = w - 79 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -378*j + 94*j + 92*j + 75*j + 79*j. Let u(f) = 66*f. Determine u(h(r)).\nAnswer: -2508*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20*(4\/10 - 8\/10). What is the tens digit of (-25)\/(6\/a + 5\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662808 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duuu when four letters picked without replacement from {u: 5, d: 7}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.2 + -2.2. Sort x, -2, -3 in descending order.\nAnswer: x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**4 - 14432470*w**3 + 14432480*w**2 + 14432470*w - 14432475 = 0.\nAnswer: -2886495, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 530 - -13?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17490220 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 418 = 275. Suppose b = -8*s - s. Suppose 0 = -5*g + 9 + 11, -4*g + 22 = 3*i. Sort s, 5, i.\nAnswer: s, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70531, 70580, 70641, 70720, 70823, 70956, 71125?\n\"Answer: h**3 + 42*h + 70488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 469980 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 9*s**3 + 24*s**3 - 6*s**3 - 3*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 20. Calculate the remainder when y(-9) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**2 - u**2 + 27965*u**3 - 28036*u**3 to f*u + w + r*u**3 + n*u**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 894 and 183150651?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-4)\/(-5))\/4. Which is the third smallest value? (a) 0.3 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 0.1, -4, -232.33, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {t: 8, s: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*w - 4*w = -19, -5*f - 4*w = 29. Sort -1, -5\/6, f, 1.\nAnswer: f, -1, -5\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32*-5\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -16, -69, -158, -295, -492, -761, -1114?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/20 + 12\/5. Suppose -n = u*n. Suppose -s + 3 = -n. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201161 or -1348?\nAnswer: 201161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 0*l**4 - 4*l**4 + 3*l**4 + 3*l**2 in the form f*l**3 + z + t*l + q*l**4 + b*l**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89 - -0.58. Let n = -2.69 + p. Let m = -3.5 - -3. Which is the biggest value? (a) m (b) n (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065709 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 14*d - 35. What is the remainder when (-15)\/20*2*-158 is divided by j(-5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let o(c) = 4*c. Let v(n) = -3*o(n) - 3*q(n). Let s(b) be the second derivative of 0 + 1\/6*b**3 + 0*b**2 - 2*b. Calculate s(v(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 25480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4912, 9843, 14774, 19705?\nAnswer: 24636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -211 from 1.4.\nAnswer: 212.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2198 + 1028 = -2518*v + 2409*v - 807 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 543 * 613.\nAnswer: 332859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -d - 25, 21 = 211*u - 214*u + 3*d for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, -10\/1809, -0.2, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -62. Suppose -2*m - v = 6, -m + 2*v + 0*v = w. What is the tens digit of ((-364)\/21)\/(-2 + m\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1060264746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 42. Suppose -2*x = -s*x - 210. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346991*a - 346990*a - 346991*a + 1040964*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from cvvhuuu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 399\/735 + 18\/(-45)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:09 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/4 of a year?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4390?\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 69. Let a(u) = -u**2 - 12*u - 17. Let z be a(c). Solve z = f - 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from ggffgfxfxfgffq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 26. Determine n(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Suppose -3*l - 308 = 2*n - 3*n, 0 = f*n - 4*l - 1529. Let b = n - 177. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4643 - 4617. Solve 0 = 11*c - k + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 4:05 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2314602 is divided by 2505.\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 4259 = 223*z - 1025 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1165, 3.86, -0.5, 4, -3\/4.\nAnswer: -3\/4, -0.5, 0.4, 3.86, 4, 1165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23220 is divided by 396?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 471332147*c**3 + c**2 + 2*c - 5710126?\nAnswer: 2827992882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 4 - (62 + -1). Let b = r - -79. Suppose -2*g = 10*g - 216. Calculate the smallest common multiple of b and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14769 and 8546875.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.19003 rounded to two dps?\nAnswer: -35.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 3*y)*(-3 - y + 3) + 3*y**2 + 2*y**2 - 4*y**2 - 5*y**2 + 5*y**2 + 2*y**2 + 22*y**2 + 3*y - 3*y.\nAnswer: 23*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i. Suppose 2*h - 14 = -2*h - 3*p, -5*p - 15 = -h. Suppose u = h*u. Let o(v) = -3*v**2 + u + 0. Calculate o(m(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**7\/105 + 5*t**4\/24 + 3*t**2 - 5. Let i(d) be the second derivative of x(d). Find the second derivative of i(j) wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 4*q + q + (-q + 2*q + q)*(1 - 3 + 0) + q - 3 + 3 + (-5 - 2 + 4)*(-5*q + 37*q - 22*q) to l + a*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*j**5 + 4*j**4 - 7*j - 4*j**4 + 28*j**5 wrt j?\nAnswer: -400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z - 198. Calculate the remainder when 247 is divided by v(-15).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 329 - 180. Suppose c + 8*p - 12*p = 4, -3*c + 4*p + 12 = 0. Suppose -c*z + o = -u, 6*z - 2*o = z + 190. What is the highest common factor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*s**4 - 195*s**2 + 8454*s + 426117322.\nAnswer: -28*s**3 - 390*s + 8454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 10:12 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 88755.1705\nAnswer: -88766.1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:51 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-15) - 3\/15. Suppose -4*k + 28 = 2*l - o*k, 3*k = 3*l + 3. Let c be 0*l\/12 + 8. What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010010011001001 - -1000?\nAnswer: 100010010011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.432 - -5.568. What is the nearest to 1\/5 in 3\/5, v, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022144 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41088?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -46\/3. Put x, 2\/9, -2, -2\/9 in increasing order.\nAnswer: -2, -2\/9, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 = 5162*j - 5365*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 29811524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b**2 + 2*b. Determine p(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 1284?\nAnswer: 7704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.041173606 rounded to two dps?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -600970, -600983, -600996?\n\"Answer: -13*i - 600957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 21. Solve -5*p + p = -l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 12. Let q(g) = g + 6. Suppose 0 = -7*p + 5*p - 6. Let x(t) = p*y(t) + 7*q(t). Differentiate x(z) with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 67*y - 1721. Give i(-51).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950536?\nAnswer: 2, 131, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.60691 or -0.34?\nAnswer: -7.60691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.28 + -23.78. What is the closest to 0 in p, -4, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4528994681 plus -0.02?\nAnswer: -0.4728994681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*l - 0. Let v = 20 - l. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 149*o**2 - 3*o - 1. Let l(n) = n**2 + 16*n + 38. Let z be l(-13). Let f be (1 + -2)*3 + z. Is y(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/520871 and 46\/135?\nAnswer: 70317585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 - 9*l + 1. Let h(c) be the first derivative of 7*c**3\/3 + 13*c**2\/2 - 2*c - 6. Let a(j) = 5*h(j) + 8*m(j). Let a(d) = 0. What is d?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 4. Let a(h) = 2*h**2 - 5*h**2 + 5 + 4*h**2. Calculate 4*a(y) + 5*u(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-3*s - 2*s + 3*s + (8*s - 5*s + s)*(2 - 3 - 2)) to the form t*s + k and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 + m**2 + 2*m + 4. Suppose -8 = -19*k + 21*k. Let y(o) = 4*o**3 + o**2 + o + 3. Calculate k*y(x) + 3*f(x).\nAnswer: -x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 62.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**3 + 0*c**2 + 118*c**3 + 0*c**2.\nAnswer: 93*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*f - 87, 477*f - 479*f = -l + 83. Solve -t = o + 5, 80*o - 1 = l*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11857, 11657, 11457?\nAnswer: 11257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3212?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10666076.\nAnswer: 2, 2666519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2502 - 520123?\nAnswer: -523025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4.9, 0, 2.43, -0.2, 1\/662?\nAnswer: 2.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/61059560 and 23\/232?\nAnswer: 1770727240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**10)\/s**(-3\/14))\/(s**15\/(s*s*s**(1\/11))))**(-20) assuming s is positive.\nAnswer: s**(2610\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201984*a = -202027*a + 1763 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 34. Let z be 2 + 0\/(c - -6). Which is bigger: 11\/16 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076104375 rounded to 3 decimal places?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -2*v, -3*v - 13 = -0*v - 2*z. Let f(d) = -24*d + 1. Let h(m) = m**2 - m + 3. Calculate the remainder when f(v) is divided by h(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/44 and (-2331)\/(-864) - (-6)\/(-9).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 12 - 24 = 0. Let x(s) = 8*s**3 + 6*s + 6. Let r(n) = -15*n**3 - 11*n - 11. Calculate l*r(w) - 11*x(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 2*u - 1. Suppose y + 13 = -0*y + 4*s, -5*s = -20. Suppose 0*k + 4*k + 3 = -g, -y = g - 4*k. Calculate t(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66154?\nAnswer: 2, 11, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 8. Let p(x) = 20 + 21 + 15 - 49 - 2*x. What is -7*p(i) - 6*v(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/2 + 3360*b**3 - 2822400*b**2 + 1053696000*b - 147517440000.\nAnswer: -3*(b - 560)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063922597 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -292.55 - -289.55. Let u(t) = t**3 - 5*t**2 - t + 4. Let o be u(5). What is the nearest to o in 0.2, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -585, -877, -1169, -1461?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 52 + 2*f + 78 + 0*f to the form h*f + k and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.01 - 0.01. Let x = m + -5. Suppose 8*a - 8 + 24 = 0. What is the nearest to a in 1, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(208))**2 - -5*-4*sqrt(13).\nAnswer: -20*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*f - 62 = 0, -2*i - i - 162 = 3*f. Let n = -25 - i. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 2*j + 14 = q, -107*q + 109*q - 24*j = 84 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 2*k - 6, 8 = -4*f + 2*k - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941386101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6919474 to the nearest integer?\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 61*m + 5488 = 63*m + 5429, 6*m = 102 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**7\/105 + 19*f**5\/30 - 101*f**3\/6 - f**2 - 82*f. Differentiate j(t) with respect to t.\nAnswer: 8*t**3 + 76*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20725057 (base 8) to base 12\nAnswer: -159a2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 18*r - 2. Let v be i(1). What is the tens digit of (71\/4)\/(4\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/4 + (-149)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 + -5499?\nAnswer: -54cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 5*o + 63 = 0, 4*o + 51 = -24*j + 27*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1246 and -0.07?\nAnswer: -87.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -161, -362, -609, -902?\n\"Answer: -23*r**2 - 132*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8)*4*1. Which is the second smallest value? (a) 3 (b) g (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -14.8. Let x = 2\/931 + 915\/7448. Which is the second smallest value? (a) 0.4 (b) t (c) x (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 852*x - 11560. What is b(12)?\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.07 (b) 0.4 (c) -3\/49 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(34)\/sqrt(2) + sqrt(17) - (2*sqrt(17) + -4)) + 1)**2.\nAnswer: 40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4418 + 4417.999998918. Round u to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + 0. What is the remainder when 44 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15183, 14961, 14749, 14553, 14379, 14233, 14121?\nAnswer: 14049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 2*l**2 + 33251245*l - 33251245*l.\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*p + 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.2 - -31.3. Let k(f) = f**2 - 7*f + 7. Let x be k(6). What is the third smallest value in v, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1093220 divided by 47\nAnswer: -23260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14692*j**2 + 238 - 238 - 14693*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 - 2420\/13. Let o = -34.2 + 33.8. What is the smallest value in i, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1861742 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7374300, -7374299, -7374298, -7374297, -7374296, -7374295?\nAnswer: -7374294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -140*k + 140*k - 2*k**2. Let x(b) = 3*b**2. What is l(x(d))?\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2. Let y(k) = -3*k + 6. Let z(f) = -6*c(f) + 2*y(f). Let j(w) be the third derivative of 28*w**2 + 0 - 1\/6*w**4 + 0*w + 0*w**3. What is z(j(q))?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4630, 9549, 14468, 19387?\n\"Answer: 4919*j - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -124, 23\/3, 0.061?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/6)\/((-44)\/(-858)*-13)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(5 - 3) - (-12421504)\/(-3023). Let i = 4107 + d. Let n = i - 311387\/18138. What is the common denominator of n and -121\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.021 - 0.065. What is i rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4\/3 + 20*p**3 + 15*p**2 - 110*p\/3.\nAnswer: 5*p*(p - 1)*(p + 2)*(p + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/57))\/(k\/(k*k*(k**31*k)\/k*k)))**(-41) assuming k is positive.\nAnswer: k**(-79540\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 6997868?\nAnswer: 6997865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10443.9986535 - -10444. What is u rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 504*x + 285*x + 273*x + 1.\nAnswer: 54*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 594 and 26488.\nAnswer: 715176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9119062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/v)**9)**(1\/8)\/(v**(1\/6)*v*v**(-4)*v*v)**(2\/103) assuming v is positive.\nAnswer: v**(-13625\/17304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from ththgthttg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 4*q**2 + 3*q**2)*(-49 + 45 + 888)*(2 + 2 - 2) - q - 2*q**2 + q as r*q + v + s*q**2 and give s.\nAnswer: 7070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1859 and 35464?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32755 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75917512 to the nearest integer?\nAnswer: 8713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -2*(-9)\/8. What is the nearest to m in 0.2, 0.1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/172 and 1\/44.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3302*r - 216. Let d be x(18). Round d to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*(-3)\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Let m(x) = -x**2 + 12*x - 5. Let v be m(11). Suppose -v = -5*t + 2*t. Which is smaller: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((37842\/(-136))\/(-53))\/3\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g + 3. Let i be d(-2). Let k(n) = -n + 5. Let c(p) = p**2 + 8*p - 32. What is the smallest common multiple of k(i) and c(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a year in months?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 351\/62, 3\/4, -38 in ascending order.\nAnswer: -38, 3\/4, 351\/62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 68*a + 92 = -13*a. Solve -a*j + 5*x + 10 = -9*j, -5*x = -4*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(5) + 1 + -3 - (sqrt(50)\/(sqrt(10)*-2) + (sqrt(30)*-2)\/sqrt(6))) + 3 + ((sqrt(405) + -1)*-2)**2 + 4.\nAnswer: -137*sqrt(5)\/2 + 1631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 11 = 1. Suppose 5*t - 4 = l*t. Suppose t*s = 4*s - 40. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - k**2 - 2*k + 3. Suppose 2 = -n + 4*f, n + 0*n + 5*f - 7 = 0. What is the units digit of t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62738?\nAnswer: 2, 13, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5\/66)\/(250\/200)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m**5 + 16*m**4 - 104*m**3 - 144*m**2 - 36*m = 0?\nAnswer: -3, -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + 19*w + 315. What is n(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 27*p - 144. What is o(17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 180*h = -185*h + 177, 0 = -4*h + 116 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -17. Let g = -7 + 7. What is the biggest value in w, g, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c + 291556?\nAnswer: 2914c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (4110939\/315)\/(6\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 - 2*t**4\/3 + t**3 + 7*t**2\/2 + 2*t. Let y be l(7). Let q be (y + -1 - -4) + 0. Solve 6*n - q*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136121163 (base 7) to base 15\nAnswer: bc0c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Suppose -12 = c - 5*c. Let n(q) = -3*q - q + c*q. Calculate n(l(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 38790?\nAnswer: 659430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1547116011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**4 + 337*s*z**3 + s*z**2 + 3*z**3 + 2*z**2 + 32*z wrt s?\nAnswer: -4*s**3 + 337*z**3 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33095249903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -139190788.105 and 0.5.\nAnswer: -139190787.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -22. Solve 5*j + 10 = -a*q - 3*q, 5*j + 37 = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let a(o) = -248138*o**2. Calculate b(a(z)).\nAnswer: -61572467044*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.6322667 to 3 decimal places.\nAnswer: 21.632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 0, -0.5, 2.8 in decreasing order.\nAnswer: 8, 5, 2.8, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3*x - 2. Let n be o(-4). Let j be (-12)\/15 - 0\/n. Is -2 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 4*n + 3*n + (-2*n - 3*n + 7*n)*(5 - 16 - 2)*(0 + 1 - 2).\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/90 + y**5\/40 - 3*y**4\/4 - y**3\/3 + 6*y**2. Let k(f) be the first derivative of m(f). List the prime factors of k(5).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149555266 divided by -10682519.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (18 - (-65760)\/(-2736)) - (-3796)\/2280\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110656.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210.17 + -209. Let n = q - 1.172. Let j = n - 38.398. Round j to zero dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + g)*(-2*g**2 - g**2 + g**2) - 2*g**3 - 2*g**3 + 5*g**3 + 13*g**3 + 0*g**3 - 5*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 438 and 100382300?\nAnswer: 301146900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-11)\/(-660)*(106824\/111)\/(-4) - -4 and -28\/33.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(1\/7)*j)*j**(2\/11)\/j*j)**(-9\/7)*(j**2*(j\/j**(3\/2))\/j*j)**29 assuming j is positive.\nAnswer: j**(49611\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279683781.\nAnswer: 3, 11, 23, 31, 97, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 247, 1521, -1, 4, 3 in descending order.\nAnswer: 1521, 247, 4, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 108\/45 - (-6)\/(-15). Let y(b) = -b - 7. Let k(v) = -1. Let l(u) = -u**2 - 9*u - 14. Let d be l(-9). Determine d*k(n) + p*y(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o - 204. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 159, -74, -463, -1008, -1709, -2566, -3579?\n\"Answer: -78*m**2 + m + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, -35, 0, 4, -2, 59 in descending order.\nAnswer: 59, 21, 4, 0, -1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4318 + -802. List the prime factors of s.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679224458.\nAnswer: 2, 11, 97, 318287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v - 3*v + 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaheaahahhehaeea. Give prob of picking 4 e.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.951 + 15. Let p = 0.451 + u. Let s be (-4)\/(-6) + (-4)\/9. Which is the nearest to s? (a) 3\/8 (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345 + 157 + 188 - 1013*k + 562*k.\nAnswer: -451*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 2. Let y be i(5). Let q be 3 + -5 - (4 - (2 - 8)). Let n = y - q. Solve -n*v - 27 = -7, 2*h - 1 = -v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**6\/120 - z**5\/10 - 7*z**4\/24 - z**3\/6 - 250*z**2 - 1. Calculate f(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (48\/(-51) - 2). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1934 - 1366. List the prime factors of y.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 15*m**2 + 15*m + 17. Let n(j) = 6*j**2 + j**3 - 7*j**2 + 0*j**3 + 0*j**2. Let s(u) = -k(u) - 3*n(u). Does 14 divide s(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 0, -5*j - 15*z = -4*j + 7*j - 54*z + 129*z - 18*z - 80 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eppjjeiebjimi. Give prob of sequence piji.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-45)*10\/15\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let w(t) be the third derivative of -9*t**2 + 0*t**3 + 0*t + 0 + 1\/12*t**4. Calculate 5*v(i) + 6*w(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2597 + 36204?\nAnswer: 387a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:53 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 - 90*f + 86. Let d(p) be the second derivative of p**4\/6 - 3*p**3 + 17*p**2\/2 + p. Let z(y) = 11*d(y) - 2*v(y). Is z(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 10, 0*t - 22 = 3*n - t. Let q be 27\/n + 2*1. Let s = -1 + 0.5. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1203*u**3 + 5 - 3 + u**2 - 1179*u**3 wrt u?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 14. Let y(v) = -1331*v. What is o(y(w))?\nAnswer: -2662*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171229469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10490900 divided by 20.\nAnswer: -524545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3326 is divided by 1105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 2*l**3\/3 - 11. Let s(k) = 35*k**2. Determine f(s(v)).\nAnswer: 2450*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -16*d + 9*d + 79 - 2 - 1. Does 4 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6*i = 24. Calculate the greatest common divisor of 27 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -z + 22. Let o(h) = -3 + z - h**2 - 17*h + 0 + 17. Let i be o(-15). Calculate the highest common factor of i and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63606672\/3312 + 2\/23.\nAnswer: 5, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2. What is k(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2540.71, -0.06, -1.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 0.4 (c) 3 (d) 265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330*m - 1317*m = 3380. Calculate the remainder when m is divided by 90.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1648, 3304, 4960, 6616?\nAnswer: 8272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989378.\nAnswer: 2, 3, 79, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/4*(-16)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-165)*54\/(-60).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u*u*(u*u*u**(-4\/7))\/u*u)\/(u**(-2\/3))**11 assuming u is positive.\nAnswer: u**(184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m + 7 + 37*m - 7 - 68*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let h(n) = -n**3 - 2*n**2 - 2*n - 1. Let y be h(s). Let z(q) = 0*q**3 - 2*q**3 + 1 - q**y - 2*q**2 + q + 2*q**3. What is z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10002023 - -10033?\nAnswer: 10012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-5 + 4 + sqrt(396).\nAnswer: -24*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -34*j**2 - 2*j - 8. Let v be m(-2). Does 17 divide (3 - v\/(-21))*(-50 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-5)*1*5*(-13)\/(2093\/(-161)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose -4 = -0*w - 2*w. Suppose 0 = -2*x - 2*m + 18, z*m + w*m - 8 = -x. Calculate the highest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let s(f) = f**3 + f**2 + 3. Let o be s(t). Let n = 32 - o. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 28*p**2 - 28*p + 66. Suppose -10*u - 49 = -17*u. Let j(d) = 8*d - 29. Let n be j(u). What is the units digit of l(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5219 and -79\/69996?\nAnswer: 1189932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -6663 and -159919\/24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose 5*c = 2*z + 13, 3*c - 2*c - 5*z + 2 = 0. Suppose m = k - c + 1. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 20 = 5*w. Let d = 5 + w. Let o = d - 1. Solve o = -2*m - 7 - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12257117443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 35 - i + 2*i to the form u + a*i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-45 - (-8 + -41)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 3. Let w be y(6). Suppose 0 = -3*t - 2*t + w. Suppose 5*x - 3 - 7 = 0. Sort 1, x, t in decreasing order.\nAnswer: t, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 353, 680, 963, 1178, 1301, 1308, 1175?\n\"Answer: -4*k**3 + 2*k**2 + 349*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - -10) + (140 + -68 - 109)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39439 + 39439 + 5271*c.\nAnswer: 5271*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1203 + 5*d + 609 + 523 to the form r + u*d and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = n - 14. Which is greater: n or -14\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -3*y - 100. Suppose y = 3*c + 2*o - 2, -4*c = 4*o - 20. Which is greater: 17\/5 or c?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 3*s - 11 = 0, s + 9 = a. Suppose 0 = -4*r + 3*r + a. Calculate the remainder when r is divided by (-4 - 4)*1\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 247*v**4\/2 - 661*v**2\/2 - 891. Find the second derivative of u(f) wrt f.\nAnswer: 2964*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + 4 + (sqrt(30)\/sqrt(2))\/sqrt(5))**2.\nAnswer: 8*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100000010111110 (base 2) in base 5?\nAnswer: -14211041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52876237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f + 3. Let y = f + 3. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 31*n + 4. Does 11 divide a(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270633487.\nAnswer: 5087, 53201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 + m - 1. Let a be u(0). What is the least common multiple of 8 and 8 + -5 - a*3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 913 + -14641\/16. What is the common denominator of -39\/4 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 17*n**2 + 38*n + 3. Let h be a(-9). Let d = h + 660. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543709 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 divided by -13?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:57 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3155 + 3155. Let h(a) = -16*a - 4. What is h(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/59 (b) 0.2 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4 - 645*u**3 - 864*u**2 + 4541184*u = 0?\nAnswer: -73, 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6205 and 333245?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k - 0. Suppose 2*q - 18 = -q. Suppose 6*h - q = 3*h. Calculate the remainder when k is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*a**2 - 31*a - 37*a + 67*a + (0*a + 0*a + a)*(0*a + 2*a - 4*a) - 26*a - 9*a**2 + 26*a to l*a**2 + w + m*a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3030733 = -26*h - 638811. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r - 36. Let k(j) = 9123*j. Calculate k(s(b)).\nAnswer: -54738*b - 328428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**3 - 7*i**2 - 7*i**3 - 7*i**2 + 171*i**4 + 12*i**2 + 3*i**2 - i as r*i**3 + n*i**4 + t + y*i**2 + v*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100011101 (base 2) in base 9?\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Suppose z - 5*h + 5 = c, z + 0*z = -5*h + 15. What is the greatest common factor of 30 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*o = -9, -3 - 1 = -j - 2*o. Let y(n) = 16*n**3 - 4*n**2 - 1 + 0*n**2 + 3*n**2 + 0 + j*n. Calculate the least common multiple of y(1) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 4. Let x be m(-4). Find the first derivative of -21 + 62*t - 10 + 2 - x wrt t.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*o + 1 = 6 - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 29*u**2 + 33*u - 311. Is l(33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*j = -4*j + 22860, 5*j - 11438 = -r. Suppose 9146 = 4*c + z - 3*z, -5*c + z = -r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 5:09 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 f when four letters picked without replacement from hrreerfssfherrserh.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1335a4 + -42?\nAnswer: -133636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738648477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 251186?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 823102553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -537924, -537843, -537762?\n\"Answer: 81*f - 538005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 17198880083226 and -1.8.\nAnswer: 17198880083224.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/4))**46*x**(-3\/5)\/(x\/x**0) assuming x is positive.\nAnswer: x**(559\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) -24923 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*n, 21 = 3*n + 3*d - 9. Suppose -4*j + 154 = n*y, -2*j + 5*y = y - 64. Suppose -5*v = b - j, 3*b - v - 70 = 3*v. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208 + -139. Let v = 69.0027 - w. Round v to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbb when three letters picked without replacement from ggbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 14) + 5 + -3 + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18798718.4 rounded to the nearest one hundred thousand?\nAnswer: 18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 18 = -19*w + 39*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 172 - 199 - 94)*(-4 - 4*d + 4) + (0*d + 0*d + d)*(-4*d + 6*d - d).\nAnswer: -11*d**2 + 484*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4)*-1)\/((sqrt(4)*2 - sqrt(4))\/sqrt(2)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d = 2*d + d - 225. Solve 3*g + y = d, -6*g = -7*g - 4*y + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 14, -5, 3, -8, -2 in increasing order.\nAnswer: -8, -5, -2, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 18 (b) 2 (c) 112 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/9 + 2\/3. Suppose -f*j + 4*q = -3 - 9, 0 = 3*j + 3*q - 9. Suppose x - 1 - 3 = 0. Solve -5*y + 0 + 7 = x*s, -j*s + 2*y = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 79\/74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -81*c + 79*c. Suppose -c*o - 13272 = -29*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/173322 and 137\/57774.\nAnswer: 173322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -11*h**2 - 9*h**2 + 38*h**2 - 14*h**2. Let m(l) = 3387 + 2*l - 3387. Calculate p(m(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 113 - 31*z**2 + z**3 - 209305*z + 209358*z - 25*z**2. Give k(55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1437523049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12271567 and 847.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058955242532 plus 1.4?\nAnswer: 1.458955242532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65612 divided by -349.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6 + 6*w + w - 5*w. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 + 7*d**2 + 6*d + 331. What is a(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -5, -23, -59, -119?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1715*a**4 + 1723085*a**3 - 12614595*a**2 + 30684575*a - 24859780 = 0. What is a?\nAnswer: -1012, 17\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118274778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7440, 14874, 22306, 29736, 37164, 44590, 52014?\nAnswer: 59436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/9, -1\/4, -7, 2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -2*n + 3*v, 5*v - 22 = 3*n. Let a(d) = -6*d**2 + 3*d + 4. Let c(i) = 7*i**2 - 4*i - 4. Let f(r) = n*a(r) - 3*c(r). Differentiate f(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 7:04 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3824)\/(-136) - (105\/(-357))\/(10\/(-4))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (2 + 10))*3\/(-9). Suppose -56 = -x*r + 5*r. Let m = r - -28. Solve 5*v = -2*t - 0*v - 25, m = -5*t + 4*v - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2*s**3 - 22*a**2*s - 30929*a**2*t + 47*a**2 + 7*a*s**3 + 85*s**3*t - s**3 wrt t.\nAnswer: -30929*a**2 + 85*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -30*k - 8. Let o(s) = 840*s + 225. Let y(g) = 170*n(g) + 6*o(g). Let v be y(-4). Suppose -v = -5*h - 30. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -238 + 238 + 293*f as i*f + o and give i.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 - d**4 + 2*d**4 + (d - 2*d - d)*(0 + 0 - 2*d**3) + 3*d**4 - 5*d**3 + 5*d**3 - 2*d**4 + d**4 + 3*d**4 + 0*d**4 - 2*d**4 + 0*d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -815, -1208?\nAnswer: -1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2 (b) 2.7 (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2321 - 2321. Is 14\/1039 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 - 12*y**2 - 14*y + 43. Let c be k(-15). Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmuuuumummmuu. Give prob of sequence um.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (sqrt(833) - 4*sqrt(833)*-1).\nAnswer: 6 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119*u**2 - 232 + 232 + (5 + 2 - 4)*(2*u**2 - 4*u**2 + u**2).\nAnswer: 116*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2816 and 1?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -333*r**3 - 1197*r**2 + 1197*r**2 - 2*r**3 - 4*r**2 + 4*r**2 - 3 + 3 - r**3 + (4*r**2 - 2*r**2 - 3*r**2)*(r - 3*r + 4*r).\nAnswer: -338*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.049 + -0.049. What is the closest to 1 in 3, l, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/3 - 6309917*z**4\/3 + 8413226*z**3 - 37859522*z**2\/3 + 25239683*z\/3 - 2103307.\nAnswer: -(z - 1)**4*(z + 6309921)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 92*s + 5. What is q(46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*u + 2*u, 5*d = 2*u + 287. Let v = 413\/2 + -263. Let a = d + v. Are a and 42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 830 and 2.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, h: 2, t: 8}. What is prob of sequence ooh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (9 - 13 - -14)) + (-2 - -10)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqkkqqqkkkkq. What is prob of sequence qqk?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 960299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 1, i: 4, h: 6}. What is prob of sequence igh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -508.212242 and -0.0057?\nAnswer: 508.206542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4964 and 488036.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*n**3 + 123*n**3 - 276*n**3 + 2*n.\nAnswer: -18*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-54))\/((-3)\/78).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 74 = -2*o + 73, -2*o - 277 = 5*q. Which is greater: 63 or q?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - n - 3. Let b = 13 + -16. Give f(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/10140320 and -37\/13840.\nAnswer: 1754275360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**7\/2520 + d**6\/144 - d**5\/24 - d**4\/6 - d. Let a(i) be the third derivative of s(i). What is a(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 128. Is g(27) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a. Suppose 2*s + 5*q - 17 = a, 2*s = 5*q + 10 + 37. Let w = -43 + 67. Calculate the greatest common divisor of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 18 - 29*y + 0 - 21. Let r be (4\/10)\/(1\/(-5)). What are the prime factors of q(r)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001 (base 2) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44483 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5010827 < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 15226 = 4*d + 16*l, 2*d - 4*l - 7624 = 0. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjb when three letters picked without replacement from bsfffkfjbf.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/282 and 24\/119239.\nAnswer: 715434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.79216 rounded to zero decimal places?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58254221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v\/v**(-4))\/v))\/v*v)**(-14) assuming v is positive.\nAnswer: v**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - v = -46, -4*v + 116 = -5*u - 2*v. Let o = -15 - u. Let b(z) = z**3 - 6*z**2 - 23*z + 12. List the prime factors of b(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from {a: 1, z: 1, w: 1, l: 1, j: 2, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-45) + (-9)\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 = i, 4*p - 8*i - 17 = -5*i. Suppose -t + 2*y - 4 = 0, -7*t + 6*t = p*y - 4. Solve -g + 12 - 7 = t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - w - 26, -2215*w + 96 = -3*j - 2218*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -184757*s**4 + 180070?\nAnswer: -739028*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 156446 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = x - 0*x - 1, -5*i - 9 = -x. Is x less than 1\/302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 + -98. Suppose g*a - 209 - 583 = 0. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**4 + 2*i**4 + i**4 + (-2*i**2 - i**2 + 4*i**2)*(3043*i - 3043*i + 1214*i**2) to o*i + v*i**3 + r*i**4 + t*i**2 + a and give r.\nAnswer: 1213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (463\/7408)\/(1\/(-100))?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 q when three letters picked without replacement from nnenqnqkeeeeeee?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 * 1823507\nAnswer: -6199923.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.3. Let y = o - -0.7. Let p = -0.0413 + 0.0413. Which is the third smallest value? (a) y (b) p (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.678 * 0.4\nAnswer: 0.6712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6227 or 9733\/2?\nAnswer: -6227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 25*s**3 + 9*s**2 + 33*s + 18. Let y(o) = 47*o**3 + 16*o**2 + 63*o + 35. Let g(u) = 7*c(u) - 4*y(u). Find the second derivative of g(b) wrt b.\nAnswer: -78*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 + (-55 - (-71 - -15))?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -2. Suppose 1 - 23 = -2*c. Suppose 5*p = -c + 1. Is p less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {z: 3, h: 3, r: 1, e: 7, l: 2, j: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7201, -28787, -64763, -115129, -179885, -259031?\nAnswer: -352567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3.097\nAnswer: -1.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:26 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**3\/6 - 7*r**2\/2 + 11*r. Let p be m(8). Differentiate p - 5*t**3 + 8*t**3 + 1 wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**3\/f*f*f**0)**37\/((f\/(f*f*f*(f\/(f**1\/f))\/f*f))**(-9\/2)\/(f**3\/f**(-1))) assuming f is positive.\nAnswer: f**(277\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -25*v**2. Let q(c) = 4*c**2. Calculate q(p(w)).\nAnswer: 2500*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6501.\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57770 and 1406754.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -21*g + 25. Let h(r) = -17*r + 30. Let p(q) = -q - 1. Let x(w) = h(w) + 4*p(w). Let n(o) = 6*d(o) - 7*x(o). List the prime factors of n(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + b + 3 + 1, -a + 5*b = 8. What is the greatest common divisor of a and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 17. Let l be (3\/(-5))\/(k\/10). Let g be 72\/39 - (-4)\/(-2). Sort 5, l, g.\nAnswer: l, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -18*s + 4. Let g be v(-2). Let i = 72 - g. Factor -54*c**5 + 27*c**5 - 10*c**4 + i*c**5 + 5*c**3.\nAnswer: 5*c**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwwwzwjjzwwjzj. Give prob of sequence jjwz.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = -34. Does l = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 21 = -2*x + 6, -2*i = -4*x - 6. Which is bigger: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**2 - 71*c**2 - 70*c**2 + 166*c**2 + 39*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 447 + -455. Is (3778 - w)\/(5 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 10*i**2 - 311*i - 2592. Determine s(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 12:49 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449219 is divided by 755?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125\/8, -4, -0.2 in increasing order.\nAnswer: -125\/8, -4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1914\nAnswer: 382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*v + 35 - 15 - 10 - 13.\nAnswer: 32*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/30 and -49\/3273231.\nAnswer: 32732310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0*s + 2 = -2*s, 20*t - 72*t + 28*t - 4 = -20*t - 4*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Suppose g*f = -f + 6. Suppose f*q - 27 = 23. Calculate the remainder when q is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303302011 + -4?\nAnswer: 303302002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**4 + 104*z**3\/3 - 258*z**2 + 720*z - 394. Factor u(m).\nAnswer: -4*(m - 20)*(m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3115, 25274, 85391, 202438, 395387, 683210, 1084879, 1619366?\nAnswer: 2305643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/20 + 11\/20. Let y = -8 + 8.3. Which is the biggest value? (a) i (b) 4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-198)\/(-42) + 4\/14. Let f(a) = -j - 4*a + 3*a + 55*a**2 + a**3 - a - 50*a**2. Let m be f(-5). Solve -m*q - 3*b + 2 = 4, 5*q + 5*b + 10 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638, -641, -644, -647, -650?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.114761 * 0.4.\nAnswer: 2.4459044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -159\nAnswer: 47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16189 divided by -5.\nAnswer: -16189\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*s - 2 + 1\/4*s**2 = 0 for s.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 24 = -48. Let s(m) = -m**3 - 18*m**2 - 9*m - 4. Let t be s(a). Let g = t + -86. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3 - 17*p + 84*p**3 + p**2 - 59*p**3 as y*p + g*p**3 + b + j*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-2*o - 122 + 115 + 6*o) to b*o + p and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58268?\nAnswer: 2, 7, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-98)\/7)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 1. Let h(k) = 14*k**2 - 8*k + 10. Let n be h(3). Suppose -4*z + n = -0*z. Suppose -29*r = -z*r + 2. What is s(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p + 9, 0 = -5*n + 4*p - 413. Let v = 164 + n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32219088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c5cabb + 0?\nAnswer: -c5cabb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1610370 (base 9) to base 2.\nAnswer: -11011001111010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 3392049 + 3392049.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4 - 1291*t**3 + 538420*t**2 - 72345600*t - 298080000 = 0. Calculate t.\nAnswer: -4, 360, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**2 + 28*i**2)*(6 - 14*i**2 - 6).\nAnswer: -378*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089588 rounded to 3 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 - 65 = -23*h + 154 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*z + 73*z - 54. Which is the nearest to -30\/11? (a) -0.2 (b) -1\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -143670 to the nearest one thousand.\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -278105 divided by 40?\nAnswer: -55621\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.48987 centimeters in millimeters?\nAnswer: 304.8987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (-3*sqrt(216))\/(sqrt(12)*2*3).\nAnswer: -3*sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -19758 to the nearest one hundred.\nAnswer: -19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*x - 106. What is the remainder when x is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28333853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from bxccbbcsbnndcnn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-1)*(1 + -2). Suppose -z + 19 = r. Let u = -32 - -56. What is the greatest common factor of u and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7663 + 7652. Let p(f) = -f**3 - 12*f**2 - 13*f - 23. Determine p(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y - 3. Let k be n(-6). Is k\/2 - 206\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 279.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(60) + (sqrt(60) - sqrt(960)*6) - (-2*sqrt(660))\/sqrt(11))\/((sqrt(108)*-1 - sqrt(108))*-5).\nAnswer: -19*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 14 = -c - 2, -y - 8 = 3*c. Let g = 0.038 - 0.538. What is the fourth biggest value in -0.04, -1, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*i - 11, -4*i - 6 = b + 7. Sort b, 5, 0, -1 in ascending order.\nAnswer: -1, 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -404, -1219, -2450, -4097, -6160?\n\"Answer: -208*c**2 - 191*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -22113?\nAnswer: -22203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499508 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 4*o - 26 + 5)*(2 + 2*o - 2).\nAnswer: 4*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4917 and -2819?\nAnswer: 13861023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -38, 8, -252 in decreasing order.\nAnswer: 8, -5, -6, -38, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28\/33 + 2\/11. Let y = -65.41 + 70.41. What is the smallest value in y, m, 2\/7, 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saa when three letters picked without replacement from siasamssmaaaaismsss.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 7) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 706204793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -13.1.\nAnswer: -39.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and -57.46267789.\nAnswer: -49.46267789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5300? (a) 3 (b) -1\/6 (c) 212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*a - 4356 + 1523 + 51*a + 1544*a**2 - 108*a wrt a?\nAnswer: 3088*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1579*t - 3122*t + 45*t to the form k + x*t and give x.\nAnswer: -1498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 879903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -379 + -24?\nAnswer: -39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) 6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2581 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/24 - 6\/(-9). Let i = -1 - -5. Suppose i*r = n + 17, -4*n = 2*r - 3*r - 7. Solve -d + 3*q - 1 = o, n*q + 3 = -0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -609\/241 or -3?\nAnswer: -609\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - b + 49. What is the smallest common multiple of 42 and w(0)?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-14)*3174\/(-621). Which is smaller: m or 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 380341.\nAnswer: -9\/380341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1828260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 338640 and 22410?\nAnswer: 3047760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((q*q\/q**(-4\/5))\/q*q)\/q)\/q)\/(q**(2\/13)\/q))\/(q**10*(q*q**(2\/5))\/q))**1)**(-2\/183) assuming q is positive.\nAnswer: q**(1138\/11895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184 and -0.047.\nAnswer: 8.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 75, -4\/5, 6?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/60 + 7*z**2. Let x(u) = 8*u. What is d(x(c))?\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 1:51 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z - 4*z - 4*z)*(3*z**3 + z**3 - 6*z**3) + 4*z**4 + 0*z**4 - 3*z**4.\nAnswer: 47*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -47. Let t = b + -11.9. Let z = -12 + t. What is the closest to z in 0, -0.1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-780)\/(-40)))\/(8\/756*-3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253\/8 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -1 - (-72)\/36. What is the second derivative of j*a + 0 - 5 - 2 + 5 - a + 128*a**3 wrt a?\nAnswer: 768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*x**3 - x**2 - 62*x**3 + 77*x**3 + 1 - 61*x**4 to w*x + a + r*x**4 + b*x**3 + f*x**2 and give r.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-22)\/4*((-51660)\/36)\/(-287).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 y when three letters picked without replacement from eeenyynyee?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 0, 42 in decreasing order.\nAnswer: 92, 42, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 - 53*p**2 - 107*p + 340. What is i(-24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-770)\/15)\/7)\/((-1)\/15). Calculate the highest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -4.2. Let g = -175136.1 + 175134. What is the second smallest value in p, 0.5, g, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2757237 divided by -393891.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 15*o + 108, 3*o - 13*o - 5 = -3*t - 12*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46617 (base 10) to base 12.\nAnswer: 22b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1533 - -1533. Which is the third smallest value? (a) 1 (b) 0.1 (c) 5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 11) in base 2?\nAnswer: 1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10)*-21)\/((-2964)\/520 + 6).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -9*v + 4*q - 18, -3*q - 4 = -v. Calculate the highest common factor of v and 5120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.37357 and -4?\nAnswer: 3.62643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -9*1*-1318 - (-5 - (-12 + 9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168558 or -168522?\nAnswer: -168522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/35 - (-57)\/5 - 134532\/9324?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 1, j: 8, g: 9}. What is prob of picking 1 g, 1 p, 1 j, and 1 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, 4, 77, 196, 361?\n\"Answer: 23*g**2 - 42*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + (-104)\/12)\/(60\/(-144)). Suppose o - 2*f = 27, 0*o - 36 = -3*o - 3*f. Solve p*h = 5*r - 21, 5*h - 3*h + 3*r = o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + c = 12, -3*c = 2*q - 5*q + 12. Suppose q = 2*x - 6*x - 3*p, -5*x - 3*p = 10. Is 35*(-1)\/2*x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 - -10122020?\nAnswer: 10200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*g**3 + 1171*g**3 + 571*g**3 - 126*g**3 - 74*g**3 - 145*g**3.\nAnswer: 1598*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -82*z**2 - 15*z - 3. Let s(b) = 246*b**2 + 50*b + 10. Give 20*h(u) + 6*s(u).\nAnswer: -164*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207.2 + -207. Is n smaller than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6374 = -25565 - 20771. Does 58 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 56 = -41 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -831588*i**3 + 238253*i.\nAnswer: -4989528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 13*t**2 + 174 - 92 - 85 - 5*t**2 - 11*t**2.\nAnswer: -31*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166194 * -11.7.\nAnswer: -1944469.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 + 168 = 27*x. Solve -x*w - 3*w = -5*o, -2 = 3*w - 2*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -885532, -885413, -885294, -885175, -885056, -884937?\n\"Answer: 119*z - 885651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106691619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a - 10. Let h be b(-4). Calculate the smallest common multiple of (-36)\/(-60) + h\/(-10) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88158 and 6.\nAnswer: 88158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - l - 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(384)*-3)\/(sqrt(8) - (sqrt(8) + sqrt(8) + sqrt(8) + (sqrt(8) + (sqrt(8) + sqrt(56)\/sqrt(7) - sqrt(8))*-4 - sqrt(8)))))**2.\nAnswer: -60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6204241 (base 7) to base 4\nAnswer: -2310322033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107922156 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -389.183 - -386.8. Let u = g - -2.68. What is u rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 11*d + 8. Let g be c(5). Suppose -5*i + 59 = -3*l, -2*l + 2*i + g*i = 46. Let z = 56 - l. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 1. Suppose -4*h - a + 16 = 0, -8 = h + 4*a + w. Let b = -13 + 21. Solve -b = h*y - 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5135 and 2001740.\nAnswer: 2001740.5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -629\/66286, -0.6, -1\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2332002 + 32133?\nAnswer: -2233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 146e + -2?\nAnswer: 146c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, -32, -64, -116, -194?\n\"Answer: -b**3 - b**2 - 8*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i. Let v = -2 - i. Is -2\/3 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 1\/(-1))*2\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -26. Let f be v + (-1 - 0 - 4). What is the units digit of 89\/(-7 - f - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-13))\/(11\/55). Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) + 774\/14. Suppose -2*f - 7 = -q. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - 139123.60031795.\nAnswer: -139123.59031795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + o + 2. Suppose 0 = 3*y + 2*h - 4, 4*y - y = -5*h + 10. Let w be v(y). List the prime factors of (w - 0)*(-9)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*c**2*z - c**2 - 3*c*z + c - 104*z with respect to c.\nAnswer: -168*c*z - 2*c - 3*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 409 divided by 35494\nAnswer: 409\/35494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 31300?\nAnswer: -31301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 2117617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 4.579993\nAnswer: 22.899965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:12 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27624 + -27523. Sort d, 1, -4 in decreasing order.\nAnswer: d, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(5\/4)*4. Suppose -2*t + y = 2. Suppose -199 = -4*m - 3*g, 4*m + 2*g - 191 = 7*g. Calculate the greatest common factor of m and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3) + (-609550)\/(-44). Let s = l + -13853. Find the common denominator of s and -77\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (17\/(-4))\/(1\/(-4)) is divided by (7\/(28\/12) - 8)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -17600 and -18089 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*1920.2\nAnswer: -57.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 89\/6 - 17664\/1104?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s = -14*s - 28*s + 1480 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 9*r - 4. Let f be z(-8). Let b(y) = y**2 + 9*y - 5. Let l be b(-10). Sort f, -2, l in increasing order.\nAnswer: -2, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose n = -5*d + d. Suppose -4*u + 3*u = 0, 4*y - u = d. Solve h + h = y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452.44169368 take away -6997?\nAnswer: 5544.55830632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12*x = -22. Suppose 3*w - 12548 = -x*k, -2*k - w + 2*w + 12548 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 8*g**2 + 5*g + 12. Calculate q(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let u be (-4)\/(((-16)\/(-12))\/2). What is the units digit of m(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-36)*3\/(-2). Let n = -0.77 - -0.03. Let j = -0.64 - n. What is the third biggest value in p, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -1535?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 2*t**3 + 4*t**3)*(3*t + 0*t - t + (2*t + 2*t - 5*t)*(-2 - 4 + 0)) - t**4 + 0*t + 0*t.\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5\/(-1) - 5\/((-10)\/18) and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 46355*j. Let a(g) = -102*g - 3. Calculate n(a(c)).\nAnswer: -4728210*c - 139065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/5 - (3 + (-148)\/20). Let h(g) = -g**3 + 4*g**2 - g + 7. Calculate h(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*c**3 - 101105*c**2 - 30491318*c.\nAnswer: 390*c - 202210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 2*r + 1. Let i(u) = -301*u + 5*u**2 - 2*u**2 + 302*u + 10 - u**3. Suppose c - 2 = 2. Let j be i(c). Give n(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 52938 and 2.\nAnswer: 52940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (600\/(-1500))\/((-4)\/(-5) - 1). Sort -92, 1, v.\nAnswer: -92, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748.1704 litres to millilitres.\nAnswer: 748170.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1, -1\/2, 0.25, -1?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2933\/838*20\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, k: 2, c: 9, z: 3}. What is prob of sequence ckhk?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = 5*u, -1 = 4*u + 3. Let v(r) = -b + 40*r - 46*r + r**2 + 7. Calculate v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/180 - 7*x**3\/6 + x. Let s(i) be the second derivative of a(i). Let b(g) = 8*g. What is s(b(n))?\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 + -1599835?\nAnswer: -15997a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 4*i + 7. Let f = 27 - 32. Let u be v(f). Suppose -115 = -p - 4*p - 4*z, 0 = u*p + 4*z - 34. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 8\/17, -2, 0.078, -3.\nAnswer: -3, -2, -1.1, 0.078, 8\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17114.\nAnswer: 2, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297 - -338. Suppose 169 = 10*l - j. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/h**1)\/h)*h\/(h\/(h**(2\/7)*h)))\/((h*h*h**(-15)\/h*h*h*h)\/((h\/(h\/((h\/h**(-3\/4))\/h)))\/h)) assuming h is positive.\nAnswer: h**(365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -19. Let h(b) = -3*b - 2. Let f be h(y). Let a(u) = 9*u. Calculate a(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -241 - (1 + -3). Does 19 divide 8\/(-10)*q\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3 + 14 - 2 + 130*o - 33*o.\nAnswer: 97*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18890735, 18890725, 18890715, 18890705?\n\"Answer: -10*g + 18890745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p - 4 + 19. What is the closest to 19 in 2, p, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 6*t + 8*t**2 + 6*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212244 = 1442*t + 1634*t for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 80*l + 1. Let v(u) = -u**2 - 72*u + 1. What is -3*k(b) + 4*v(b)?\nAnswer: -b**2 - 48*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 423*c**2*m**2*p**3 - 2*c**2*m**2 + 2*c**2*m*p**2 - 6*c**2*p**2 + m**2*p**3 + 74*m**2 wrt p.\nAnswer: 2538*c**2*m**2 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223248, -223377, -223510, -223647?\nAnswer: -223788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -836.3 - -836. What is the smallest value in 3\/5, 34\/7, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (4 - 4 - 2). Let b(p) = 112*p - 6 + w + 2. Is b(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1816 - a**3 + 127*a**2 + 1816 + a**3 + 38*a**5 wrt a.\nAnswer: 2280*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1018*m**5 + 758*m - 469*m**4 + 469*m**4 wrt m?\nAnswer: -20360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*5\/(75\/(-10)). Let u = 1 + 0. What is the second biggest value in d, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12276 and 634167.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1088\/3 - 1336069\/3684. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 1:22 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 46. Calculate the highest common factor of c and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/15)\/(14\/(-35))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1582\/9 - -176. Let l = -14 - -18. Sort l, -0.4, w in ascending order.\nAnswer: -0.4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 3. Let c be r(-3). Suppose 2*i + 3*h - h - 14 = c, -3*h + 1 = -2*i. Let p be -2 - 3\/((-6)\/i). Solve -3*o = -p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 268, 3, -43, -4 in increasing order.\nAnswer: -43, -4, -2, 3, 5, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19883*o**3 - 2401*o**2 - 5*o wrt o?\nAnswer: -119298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-8))\/5 + 1\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 2*sqrt(76))*-2 - sqrt(76))\/sqrt(4)*6*-3.\nAnswer: 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 13. Let o be (22\/(-4))\/(3\/(-6)). Let f be p(o). Solve -g - f*m = 3, -5*m - 12 = 5*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Let i be l\/(4 - 2) - -2. Factor 2*z**2 - i*z**4 - 3*z**3 + 3*z**3.\nAnswer: -2*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 + (-120)\/144. Which is the closest to k? (a) 1\/4 (b) 0 (c) -4\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 2*d**4 + 275*d - 2*d**2 - 275*d + 16 in the form b + m*d**2 + z*d**4 + x*d + r*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/660 + 7*w**5\/330 + w**4\/22 - 21*w**2. Factor x(j).\nAnswer: 2*j*(j + 1)*(j + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 9) to base 8.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 47. Let n = 33 + -33. Sort n, -2\/13, u in decreasing order.\nAnswer: u, n, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r - 3*r + 7*r**2 + r**2 + 7*r.\nAnswer: 8*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5140\/69 + 326428\/69. Is 4804 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-18)*b*b)*b*b)**(-18\/7)*(b**(-3\/7))**(-6\/31) assuming b is positive.\nAnswer: b**(-1512\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/((z**(17\/3)*z)\/z*z*z*z))*z**(-5\/9))\/(z**(1\/51)\/(((z*z**(-13\/3))\/z)\/z*z)) assuming z is positive.\nAnswer: z**(422\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2.49, 2\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e90f2b - 0?\nAnswer: -10e90f2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiov when four letters picked without replacement from vvioskuk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56243 or -56210?\nAnswer: -56243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34343 is divided by 69.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40807750?\nAnswer: 2, 5, 23, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**8\/7560 + k**7\/1260 + k**6\/1620 + k**4\/8 + 5*k**2. Let g(l) be the second derivative of u(l). Factor g(s).\nAnswer: 2*s*(s + 2)*(4*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 25 = 2*k + 14 - 7, -o - 2*k = 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-257 + (-3 - -2)) is divided by 9\/(-108)*-378 - 10\/4.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r + 125. Let y = r - 3. Calculate the remainder when y is divided by (-3 - 3)*(-16)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (6 + -9)) + 2*-3. List the prime factors of (-547)\/(-9) - 1\/q*2.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6*m + 3*n - 234, -n - 72 = -m. Let b(d) = 2*d**2 + 20*d + 92. Let v be b(-9). Are m and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*a = 11, 2*a = 5*a - 15. Let c = 12 - i. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z + 126. Let m be i(15). Suppose m*o = -5*n + 10*o + 2529, 3*o + 2024 = 4*n. List the prime factors of n.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (1 + -4 + -3). Let y(p) = -4 + j*p - p + 2*p - 4*p. Calculate y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182.24013 less than -0.003?\nAnswer: -1182.24313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/18*(-8)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (487 - 704*p - 487)*(5 - 10 - 8).\nAnswer: 9152*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*p - 1599, 4*p - 5*w + 6*w = 2131. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -30*n + 7 - 7 + 28*n. Let f(k) = -23*k. Determine f(v(m)).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) 3\/5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*m + 9*m - 10*m)*(2*m + 2*m - 5*m).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 46 = -4*h, 3*h - 2*f + 6 - 49 = 0. Let w = h + -10. Let i = -9 - -12. Solve -i*r = j - 6*j - 8, -3 = -w*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 151, 251, 361?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*w**3 + 10*w**2 - 2*w - 36 wrt w?\nAnswer: -72*w + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*w + 114, 0*z + 152 = 4*z + 4*w. Let i = z + -26. Solve -f - i = 4*p, 3*f = 2*p + 5*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Suppose 0 = 13*p - 16*p + 6. Suppose h = -p*h + 6. What is the greatest common factor of h and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7*o + 7. Let w be t(-6). Suppose 177*j + g - 69 = 172*j, -4*j - 2*g + 60 = 0. What is the greatest common divisor of j and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10210*v**2 + 701*v + 46499196?\nAnswer: -20420*v + 701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2722, 0.7, -1, -4 in descending order.\nAnswer: 2722, 0.7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnhgnhfh. Give prob of picking 1 g and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, q: 1}. What is prob of sequence ib?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178408 rounded to the nearest one thousand?\nAnswer: 1178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 - 28*m + 6*m**2 - 4 + 3 - m**2 + 12*m**2.\nAnswer: -m**2 - 28*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3714850, -7429576, -11144302?\n\"Answer: -3714726*r - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t. Let q(h) = -3. Let l(y) = y**2 + 5. Let j(s) = 3*l(s) + 5*q(s). Give i(j(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 46, -1.\nAnswer: -4, -1, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/8 - -11\/24. Let y = 551\/2 + -275. Which is the second biggest value? (a) -3 (b) f (c) 3\/4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/13 + 3864*c**3\/13 - 2056424*c**2\/13 + 14126784*c - 347524736 = 0. Calculate c.\nAnswer: 52, 914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13*b = -12*b, 0 = h + 5*b - 12. What is the highest common divisor of h and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-4))\/(56\/(-97328)).\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 0 (c) 1900\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 46*u**2 + 21*u**2 - 9*u**3 + 28*u**2.\nAnswer: -7*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033 - -114304?\nAnswer: 120342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12524730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71015798.\nAnswer: 2, 7, 724651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34615 and 68155.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 1434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let g(s) = s**3 + 4*s**2 - 4. Let u be g(-3). Suppose 3*w - 5 = -u*j, 2*w - 1 = -j - 0*j. Let m(v) = -8*v**2 + w*v + 0*v. What is f(m(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 4*b - 5. Let u(a) = -3*a - 3. Let o be u(-7). Let j be 1\/((-15)\/o + 1). What is the units digit of l(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332467869 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -4 (c) 7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, -8, -125, -350, -719?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 9, 10, 19, 42, 85?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 216 = -17*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184804?\nAnswer: 2, 47, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593.5499kg to micrograms.\nAnswer: 593549900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5208, -10788, -16368, -21948, -27528, -33108?\n\"Answer: -5580*a + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9235408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3 and 11837\/(-3936)*2 - (-14 + 8 + 0).\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 12. What is l(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*k. Let d = 3 + k. Let t = 4 - d. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*i - 1 = 4*m, -m - 5*m + 11 = 5*i - 6*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 6083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3102 and 39\/7.\nAnswer: 21714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2690 - 852 = -22*q. What is the remainder when (q - 0) + 0\/(5 - -1) is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2690*q**2 - q - 2. Let b(u) = -4*u. What is y(b(d))?\nAnswer: 43040*d**2 + 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let k(h) = h - 3. Let f(g) = k(g) - 5*z(g). What is the remainder when 15 is divided by f(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 12. Suppose -1 = s, -f*s = -4*q + s + 196. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1605 = 5*f, 4*f - 368 = r + 911. Calculate the highest common factor of 200 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**39*j**(-1\/8)*j)\/(j*j**36*j\/(j*j*j**26*j)) assuming j is positive.\nAnswer: j**(247\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2750735 and 9?\nAnswer: 24756615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6985*g**2 - 2001*g**2 + 7902*g**2.\nAnswer: 12886*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**4\/4 - 4*u**3\/3 - 2*u**2 - 4*u - 1. Suppose 4 = h, 5*h - 7 = -3*f + h. Let k be a(f). Is k >= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 8. Let n(t) = -t + 1. Let g be n(4). Let d(i) = -4*i**2 + 7. Let j(h) = g*w(h) - 4*d(h). Give j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 358+469450365837\nAnswer: 469450366195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 245 - 239. Suppose 0 = o*i - 9 - 141. What is the remainder when i is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -15, 2, 4, -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*t - 39*b + 36*b, -b - 4 = -3*t. Solve s = i + 5*s + t, 5*i = s + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)\/((-6)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l - 203. Let u(n) = -2*n - 1. Calculate -f(q) + 5*u(q).\nAnswer: -q + 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(250)*2 - sqrt(250) - sqrt(250)) + (sqrt(250) - (6*sqrt(250)*-1 + sqrt(250) - sqrt(250))))\/(-1*(sqrt(160)\/sqrt(4))\/sqrt(8)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20119380 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4732 and 299?\nAnswer: 108836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/3 + (-3)\/9. Calculate the lowest common multiple of 18 and 1\/(-4) + 114\/o.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 14. Let f be t(7). What is the tens digit of (-166)\/(-7) + 8\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 9. Let j be s(-4). Suppose 4*m = 2*l + 4 - 34, -4*m = j*l - 47. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -21147 (c) -51 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 1.9?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/12 + -11\/12. Let g = 1.86 + 0.14. What is the nearest to i in 9, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/720 - 25*h**4\/24 + 25*h**2. Let y(a) be the second derivative of w(a). Give y(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 17. Suppose 3*g - g = y. Solve -2*a + 5*m + 20 = -0*a, -g*a + 2*m + 24 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 9*u**2 - 6*u - 137. Let k be x(-5). Which is greater: -213 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8 - 8. Let w(z) = -59*z + 3. Let d be w(-11). Let a(f) = -d*f - f**2 + 652*f. Give a(n(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -948?\nAnswer: -952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -409.88 - -7.88. Let x = -402.067 - v. What is x rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.519 - 0.919. Let f = 1\/8 - 7\/24. Which is the smallest value? (a) h (b) -2 (c) -2\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -264?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/27*1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.122896 * -0.45\nAnswer: -0.0553032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6236.\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 26930000 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (850413\/(-18) - (4 + -8))*-6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*x**2 + 5*x**2 - 7*x**2 + (-2 + x + 2)*(0*x + 4*x - 3*x).\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/3)\/z*z**(2\/17)*z)**36\/(z**(-2\/21)\/z**(1\/3)*(z\/(z*z**(5\/6)))\/z*z**0) assuming z is positive.\nAnswer: z**(-29633\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nufneuef. Give prob of sequence fnue.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -305, -181\/5, 3\/10?\nAnswer: -181\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1781, 2, -0.4.\nAnswer: -1781, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 12, 34, 76, 144, 244, 382?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 3:10 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - 0) + 2 + 7. Let i(v) = v**2 - 10*v + 10. Let q be i(9). Let u be q\/15*d + 0. Which is the nearest to -1? (a) u (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467 divided by -5\nAnswer: -467\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -6)*(99\/6)\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, 0.4, 3, 2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 344761, 344630, 344499, 344368, 344237, 344106?\n\"Answer: -131*p + 344892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 2}. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/2 of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83942.42 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37805, 37784, 37763?\nAnswer: 37742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-65)\/(-260))\/(((-1)\/(-4))\/((-2)\/2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(48\/(-404))*(-13008)\/(-2168)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -165289740 times 4\nAnswer: -661158960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 13 + 12 = 31. What is the second smallest value in m, -22, 0, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43681 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 - 1143\/693. Is m > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-48))\/(-1))\/(((-630)\/30)\/(-315))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9351596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -434, -620, -776, -896, -974, -1004, -980?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5383456*c**4 + 16848608*c**2 wrt c?\nAnswer: -129202944*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, -1856 in ascending order.\nAnswer: -1856, -21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.3, 40\/31, 5, 3, 2?\nAnswer: 40\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l - 2856 = 159*l - 84*l. Calculate the greatest common factor of l and 1204.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -349 = -349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -9\/10 (c) -304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*z + 110 = 1625 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 + 100 + 17*n**4)*(4 - 2 + 0)*(2 + 0 - 1)*(0 + 3 - 1).\nAnswer: 68*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 30*k**2 + 55*k - 24. Let u be c(-28). Solve 5*d + 21*d**3 + 15*d - 130*d**u - 35*d**5 - 134*d**3 - 20*d**2 - 22*d**3 = 0 for d.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 3*t + 0*t + (-5*t + 5*t - t)*(3 + 1 + 0) - t - t + t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*j**2 + 1)*(-1295 - 1564 - 1398 - 1030 + 639).\nAnswer: 9296*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 65001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 12 - 3 + 6*t**3 + 4*t + 5*t**2 - 7*t**2 + 2*t**4 in the form p*t**2 + w*t**3 + r + y*t + k*t**4 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-15)*144738\/7310?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (sqrt(3328) - (1 + sqrt(3328)))) + ((sqrt(4212) - 2*sqrt(4212)) + -1)*-5)**2.\nAnswer: -2700*sqrt(13) + 105525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-264)\/33 - (-446)\/38. Is 4 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116154, 464609, 1045366, 1858425?\nAnswer: 2903786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89 or -90?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 815*t + 27806. What is r(40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpldhhyz. What is prob of sequence lhhz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = 18, -3*o - 1728 + 1729 = -4*c for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/60*2\/4*-70. Let w be 3\/m*(-7 - 7\/63). Is 1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - 1 - -18) + (3 - 9).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 11:11 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 314 + -267. Suppose -55*g + s*g + 136 = 0. Let m(u) = 6*u**3 + 6*u**2 + 6. Let d(i) = 18*i**3 + 17*i**2 + 17. Give g*m(q) - 6*d(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:01 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqqqqqxq. Give prob of sequence qxq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.69122 tonnes in milligrams?\nAnswer: 8691220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 149 = 4*i - 11*t, -4*i - 3*t + 151 = 0. Suppose 45 + 3 = -3*l. Let o = i + l. Solve q = 2*j + 3*j - o, 8 = -4*q + j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 - (2\/1 + -1). Let j = 681.6 - 96.6. Let g = j - 585.2. Which is the biggest value? (a) 3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - -16. Suppose -n - 86 = -5*m. Suppose c - 3 - 7 = 3*l, 4*c - m = 5*l. Solve -b = c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**5\/5 - 431*h**4\/4 + 433*h**3 - 1301*h**2\/2 + 434*h + 4352. Factor b(k).\nAnswer: -(k - 1)**3*(k + 434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 15. Let v be (2 - q - 0)*2. Solve -v*z + 15 = -5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -3*g**5\/20 - g**4\/6 - 9*g**2 - 277*g + 5. Let w(v) = 4*v**3 + 3*v**2 + 17. What is -3*i(l) - 2*w(l)?\nAnswer: l**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*l + 3501486 = -2258564. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -321199.9454 and 3?\nAnswer: 321202.9454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6469, 25877, 58243, 103573, 161873?\nAnswer: 233149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1142436\/84 + (-68)\/(-70) + 6\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/84032 and 77\/10014.\nAnswer: 420748224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25946880 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 184 + -167. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*u. Suppose u = -5*a - 3 + 23. Suppose a = z - 3. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -43*f + 16. Give r(-4).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 5 (b) 5\/2 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 6)*(-3*g + 5*g - g)*(3 - 9 - 47) as u + p*g and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 7*i**2 - 4*i - 10. Let g be s(6). Suppose r - 100 = 5*n, -g*r + 5*n - 300 = -5*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83 + 3*x**3 + 2*x**4 + 83 - 4*x + 2*x**3 wrt x?\nAnswer: 24*x**2 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -284, -473, -662, -851, -1040?\n\"Answer: -189*g - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(180) - sqrt(5))*2)**2 + sqrt(5).\nAnswer: sqrt(5) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 4 + 2*v - 3*v**2 + 4*v. Let g(x) = 457 - 231 - 219 - 7*x + 5*x**2. Calculate -7*c(l) - 4*g(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(16\/3))\/(-2))\/(-3)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:03 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1332)\/(-555)*(-1)\/8?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/7 - 2825*b**2\/7 + 8951*b + 65481\/7.\nAnswer: -(b - 23)*(b + 1)*(b + 2847)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194748893?\nAnswer: 179, 12261167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 16 = 6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 83*f + 360. Calculate n(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 373, 0, -1 in decreasing order.\nAnswer: 373, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u - 109*u + 66 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67199.8g to milligrams.\nAnswer: 67199800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136783757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 685*s + 9657. List the prime factors of n(49).\nAnswer: 2, 21611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625679709 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 626 + -623. Suppose 5*n - 125 + 28 = -k*m, 0 = 3*n - 2*m - 62. Calculate the highest common divisor of 100 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370 is divided by 1231?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9917.\nAnswer: 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0*b - 36. Let g = b + 38. What is the least common multiple of g and 0 + 0 - -8 - 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 2*f. Let c = 41 - f. Suppose -a + 129 + c = 2*h, -3*a + 65 = h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.94. Put 3\/2, m, 0.1, 1\/3 in descending order.\nAnswer: 3\/2, m, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 886059 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvo when three letters picked without replacement from {e: 1, w: 1, o: 1, l: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346478731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqf when three letters picked without replacement from qqwwcqpqcfccwwfcwypf.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o, -4*i + 2*o - 4*o = 314. Let j = -31 - i. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -6.8.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -64. Suppose 0 = -m*o + o + 1722. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d - 11. Let v(z) = -4*z - 7. Let f(y) = 5*r(y) - 8*v(y). Suppose q + 5 = -0*q. Let t(p) = -p**2 - 4*p + 3. Let c be t(q). Calculate f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 10*r - 143. Let k be t(-18). Let f be ((-11)\/((-198)\/24))\/k + -2. Which is bigger: 68 or f?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 + 92 - -64 - 38?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10643.2 + 10643. Sort -4\/25, l, -3, 2.1, 0.5.\nAnswer: -3, l, -4\/25, 0.5, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16612837?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 13052 = 4*z, 16*z - 2*a + 9764 = 19*z. List the prime factors of z.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000693715 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by -79.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 29, 64, 113, 176, 253, 344?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n - 62 = -v, 0 = 2*v - 4. Suppose -6*z = -2*z - n. Solve 0 = -4*y + y + z*q + 2, 5*q + 8 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or 2\/227633?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/4 - (-4)\/6. What is the third smallest value in u, -1\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8314771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1499 divided by 1410.\nAnswer: 1499\/1410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731 is divided by 230.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkggkgkkgg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = 2*g, -10 = -2*f - g. Let y(m) = m + 16*m - 1 - f*m. Determine y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5191956461 to the power of 1\/2, to the nearest integer?\nAnswer: 72055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r = 53*r - 169755. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/18*-4*1\/27\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 18*k**3 + 9*k**2 - 17*k - 2. Let n(g) = 71*g**3 + 37*g**2 - 76*g - 9. Calculate 9*c(q) - 2*n(q).\nAnswer: 20*q**3 + 7*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -409, -757, -1105, -1453, -1801, -2149?\n\"Answer: -348*j - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 18*x**2 - 10*x - 15. Let z(g) = 7*g**2 - 190*g - 176. Let s be z(28). Calculate f(s).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -52. Suppose 2*r + 4*n + 104 = 0, 0 = 3*n + c*n - 10. Let z = r - -70. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from {g: 10, l: 1, a: 4, t: 2, c: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218.12 + -185. Let a = -2.5 - -34.5. Let x = p - a. Round x to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 * 1.4326.\nAnswer: -0.0830908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - o)*(2*o - 2*o + o + (-o + 0*o + 2*o)*(2 - 1 + 0) - 26 + 26 - 3*o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -42*z**3 - 29*z**2 - 50*z - 51. Let g(i) = 25*i**3 + 15*i**2 + 27*i + 25. Let k(m) = 3*b(m) + 5*g(m). Determine k(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 6825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**3 + 5*h**2\/2 + 20*h. Let j(s) = 6*s + 4. Give 6*j(t) - 5*q(t).\nAnswer: 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*r - 18, 4*f + 0*r - 36 = r. Let d = -7 - -6. Let p be 5 + d - (5 - 7). Solve 0 = 3*m - f - p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from vvnnvvvnvn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**3 - 41*q**2 + 191 + 7*q + 66*q**2 - 25*q**2 with respect to q.\nAnswer: -6*q**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23362490 by -2467.\nAnswer: 9470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, j: 1, c: 5, w: 3}. Give prob of picking 1 j and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1054\/22 - (-11)\/121. Solve 8*u + 8*u = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19679?\nAnswer: 11, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1517885 + 2149145. Round l to the nearest ten thousand.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/27 and -19\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2))**(-26)\/(p\/(p**(3\/2)\/p))**(3\/4))**39)**12 assuming p is positive.\nAnswer: p**(48321\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208.67 + -207.670256. Let a = 149 + -148. Let i = a - s. What is i rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -103 (b) 2 (c) 3\/4 (d) -13378\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + 26. Let r be q(-9). Let f(b) = 2*b + 140. What is the remainder when f(r) is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*w + 2*w, 0 = -r - w. Solve -2*d + 3*d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10199 = -238*r + 4048 + 109 - 9190 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (386\/(-4) + 9)*-2. Calculate the greatest common factor of 560 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 5, 4, 727, 47 in ascending order.\nAnswer: 0, 4, 5, 9, 47, 727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190 - 193.9995. Let k = q - -4. What is k rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 7906411.03109?\nAnswer: 7906410.73109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-2536)\/(-56). Let b = w - -75. Let j = -12 + b. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -3 + -2 + 3 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48491500 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 7*x - 5. Let s be n(-5). Suppose 20 = -5*v, 3*q = -0*q - s*v - 53. Let i = 30 + q. What is the remainder when 37 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2.1 (b) -13\/5 (c) 0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 6*j**2 - 4*j**2 - j**4.\nAnswer: -2*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.15 - -0.35. Let w = -22.8 - c. Let r = -18.99956 - w. What is r rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.5, -1\/386, 0.1, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116554337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65600674994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269306 = -26*w + 212552. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-2 + 2 + 1)*(-3*v**3 - 4*v**3 + 5*v**3)*(-37*v**2 - 5*v**2 + 18*v**2).\nAnswer: 48*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28658672\/23 >= 1246030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -703 - 3937 = -2*h. Let m be (5 + -4 - h) + (2 - -1). What is the tens digit of 8\/(-6)*m\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -42. Suppose 17*g - 6*g - 880 = 0. Suppose -5*i = -5*n - g, -5*n - 7 = l*i - 107. What is the remainder when i is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9, 3\/5, 67?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. Let x(j) = -4*j**3 + 16*j**3 + 0 + j - f. Let c be x(1). Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4*-1 - (-252798)\/(-104). Let g = -7369\/3 - w. Find the common denominator of g and ((-6)\/40)\/(6\/308).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151544557?\nAnswer: 61, 191, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:15 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -147. Solve -3*l - 2*v = -11, f*v = -3*l + 1 + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 2. Let w(h) = -20*h + 21*h - 3 + 5 + 0. Let a be w(2). Determine n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 4*p**2 - 4*p**2)*(361 - 18 + 3 + 108).\nAnswer: 908*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1046528*x + 45000708. Give n(-43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 times 4?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 2*z - 10. Let a be s(8). Let t = -129 + a. Solve -3*x - m - 35 = 3*m, 2*x - t = 3*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**5 - 8*f**4 + 4*f**3 - 13*f**2 - 3002*f + 1 wrt f?\nAnswer: -840*f**2 - 192*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 14 = 5*k + 2*y, 4*k = 5*y + 7. Let v = 79 + -76. Solve -k*w - 4*m = 0, 0 = -2*w - v*m - m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -23. What is the highest common divisor of z and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + sqrt(66) + -1*(sqrt(66) - (sqrt(66) - -1*sqrt(66)))))*3)\/((3*(sqrt(48) + sqrt(144)\/sqrt(3)))\/sqrt(8)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63 or -63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.055539 and -0.11.\nAnswer: -0.00610929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n - 7. Let x be w(5). Suppose h - 3*c = 47, x*h - 5*c = -c + 151. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(143)*1*3)\/((sqrt(11) + sqrt(176)\/sqrt(4) + sqrt(22)\/sqrt(2)*-4)*-1).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 19. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -230 - -1 - (-7 + 8). Suppose -72 - 60 = m - 3*x, -2*m - x - 271 = 0. Let k = m - y. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - (3 + (-6 - -7)). Suppose -w*p + 5518 = -3022. List the prime factors of p.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 13 - 2*c**3 + 2*c**4 + 13 - c**2 to r*c**2 + h*c**4 + l*c**3 + j*c + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzznzzznzzznzzzzn. What is prob of picking 3 n?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 13*b - 12*b. Let g(k) = -k**3 + 13*k**2 - 9*k - 16. What are the prime factors of g(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13688269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -996*r + 1881. Determine z(2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/9 + 6\/27. Suppose 0 = 4*w - h*u - 4 - 4, u = -w. Let k be ((-1)\/3)\/(-2 + 4). Is k < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.72132 micrometers?\nAnswer: 0.00000372132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20666, -82617, -185874, -330443, -516330, -743541, -1012082?\n\"Answer: -h**3 - 20647*h**2 - 3*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*r = -5, 0 = -2*p - 31*r + 35*r - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2, 949 in increasing order.\nAnswer: -4, 2, 5, 949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6638362083 less than -1?\nAnswer: 6638362082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9278 is divided by 1847?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 2, n: 2, q: 2, h: 1, w: 1}. What is prob of picking 2 q, 1 h, and 1 w?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 16) to base 6\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 10*o - 9. Let l be m(-9). Find the second derivative of l + 0 + 10*c - c**2 - 2*c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -55*k. Let g(q) be the third derivative of 0*q**3 - 1\/24*q**4 + 0*q - 226*q**2 + 0. Determine g(h(s)).\nAnswer: 55*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1084 and -84116.\nAnswer: -91181744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10101110?\nAnswer: -10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 562 divided by 1\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14079 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**3 - 12*i**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 + 245. Let w be (-16)\/10 + 2 + 0. What is the nearest to 3 in w, h, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 272726.259 and -0.0449.\nAnswer: 272726.2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 372, 560, 748, 936?\nAnswer: 1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 13.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-36)\/(-72)*8\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-8))\/((-2)\/4). Let k = a + 2. Suppose 0 = -h - 4*c + 56, k*c - 5 + 26 = h. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -4069.416.\nAnswer: 16277.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/13, -1\/4, 7.\nAnswer: -3\/4, -1\/4, 2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1269620*m**4 + 1809707*m**2.\nAnswer: -30470880*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3782063 is divided by 204.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 + 8 = 0. Let t = -18 + s. What are the prime factors of 4\/(-14) - 200\/t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -3 (c) -3\/5 (d) -0.1 (e) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 2153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 289 or 290?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 42*o**2 - o + 44. Let p be d(42). Solve 9 = n + 4*s, -p*s + 7 = -n - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a**2 + 367*a - 42. Calculate the remainder when g(25) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 633.06 - 628. Let q = -0.74 - z. Let g = q - -5.80000054. What is g rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149\/517 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 66 = -q. Let r = q - 343\/4. Let n = 2 + -1.6. Which is the third biggest value? (a) r (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22286566 - 5?\nAnswer: 22286561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 40 = -4*r, -5*g = 4*r + 10 + 36. Let n be (-55)\/(-45) + 2\/r. Let l be n\/6*3*(-6)\/3. What is the closest to l in -2, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*w - 6 = 0, -7*a - 27 = -6*a - 4*w for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1 - (-42)\/24). Sort -9, -5, r, -0.2 in descending order.\nAnswer: -0.2, r, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -5. Let r = o - -5. Suppose -p = -2*p. What is the nearest to -2\/3 in p, 2, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/5 + 6*n**4\/5 + 64*n**3\/5 + 24*n**2 + 64*n\/5 = 0 for n.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 + 6*o**3 + 12*o**2 + 6*o**2 - 21*o**2 + o as z*o**3 + s*o**2 + n*o + a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 + -465. Let g be 10\/((-12)\/(-30) - (-128)\/(-270)). Let m = g - q. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 56*q + 35 - q**3 + 46 - 10*q**2 - 9 - 39*q. Give m(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 19*q - 41. Let y be r(-3). Solve 0*g = g - 3*h, 2*g = -h - y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3252, 3249, 3246, 3243, 3240, 3237?\n\"Answer: -3*r + 3255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, 828, 1731, 2634, 3537?\nAnswer: 4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (25 - (-11 + 15) - 55)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**3 - 5347120*d**2 - 53470700*d = 0.\nAnswer: -1069414, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.5 - 7. Let g = b - -0.8. Let l = -0.4 - -0.2. What is the nearest to -2\/7 in g, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4\/13)*n**(-3))\/(n**23\/n**(-18)) assuming n is positive.\nAnswer: n**(-555\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7 = 2. Let a be f\/(3\/(63\/(-1))). Suppose -3*r = -a - 33. What is the remainder when 52 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 4)\/(2\/94). Let v = m - 30. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.7 - -5.7. Let g = 34.961 + t. Let o = g + 0.0354. What is o rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m. Let k(t) be the first derivative of -22*t**2 - 19. What is s(k(r))?\nAnswer: -132*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) - 45\/(-18). Let g(b) be the third derivative of 1\/24*b**4 - b**p + 0*b + 0*b**3 + 0. Let r(m) = -2*m**2. Calculate r(g(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*p - 50, 54*p - 55*p + 6 = -6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aia when three letters picked without replacement from {a: 3, i: 12}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/3 - 44*x**2\/3 - 183*x - 702 = 0 for x.\nAnswer: -26, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2162 = 11*m + 2206 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and -0.1967.\nAnswer: -1.2967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98616?\nAnswer: 2, 3, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2536 + 1091 = y - 5*l, 18030 = 5*y - 4*l. Let h = 639 + y. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 times 2.1?\nAnswer: 197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l - l**3 - 30 + 29 - l - 7*l**2. Let h be k(-7). What is the third derivative of -i**4 - h*i**2 - 3*i**4 - 8*i**4 + 0*i**4 wrt i?\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 96 and 0.7.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -0.2, -4\/3, -8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 46294373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49ddda4 - 1?\nAnswer: 49ddda3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089821274 to 3 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*r - 190*r - 182*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 7:53 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*b + 1020*b + 1222*b - 216*b to the form p + m*b and give m.\nAnswer: 2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q - 334. Let n be m(-28). Factor -1\/2*c**5 - c**4 + 0 + 0*c + 0*c**n - 1\/2*c**3.\nAnswer: -c**3*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 641\/9. Which is the third smallest value? (a) 1 (b) -2\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w**3 - 126*w**2 - 243*w - 122. Let n(y) = -24*y**3 - 252*y**2 - 487*y - 244. Let a(m) = -3*n(m) + 5*v(m). Factor a(o).\nAnswer: 2*(o + 1)**2*(o + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 143 + 76 + 67 + 3*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -u + 5*u - 352, -3*u + 2*y + 264 = 0. Suppose -7*b = -5*b - 132. Suppose 5*z - u = t, 0 = 4*z + 5*t - b - 16. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*(-1)\/(-2)*(-2340)\/(-135)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 + 71 = -15*t + 274. Solve 13*d = 19*d - t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71.83 - -0.57. Let m = f + -73. Sort 2\/3, m, -3 in ascending order.\nAnswer: -3, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 4*o + 8. Let u be x(6). Suppose -4*h + u - 4 = 0. Solve -h*s + 17 = -3*v, 3*s - v = 10 - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muyumegeegyymfyemgg. Give prob of picking 3 m and 1 g.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16129400\/369)\/56*(-3)\/(-130) - 18?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 1847048*m - 88656000.\nAnswer: -(m + 48)*(m + 1847000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert d39 (base 16) to base 11.\nAnswer: 25a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.685\nAnswer: -0.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*o - 4*a - 5, -4*o + a + 6 = 0. Let b be 3*24\/(-60)*30. What is the units digit of (39\/(-52))\/(o\/b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + k**2 + 5*k - 137000. Let c be o(0). Round c to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7822, -31318, -70510, -125404, -196006, -282322, -384358?\n\"Answer: -r**3 - 7842*r**2 + 37*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhl when three letters picked without replacement from {l: 4, h: 3, i: 1, n: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:42 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/56*4*-2. Which is smaller: h or 114?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1831*i**3 - 7*i**2 + 25*i - 7. Let w be y(18). Let n(z) = 3820054*z + 1. Let c be n(4). Let g = w + c. What is g rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 10*r**2 - 7*r + 3. What is m(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 15, 33, 59, 93?\n\"Answer: 4*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + k + 83*k**2 - k**4 + 3*k**3 - 5*k**3 - 82*k**2 to y + r*k**3 + x*k + a*k**2 + n*k**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724835, -1449633, -2174431, -2899229?\nAnswer: -3624027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12489, -25359, -38261, -51195, -64161, -77159?\n\"Answer: -16*s**2 - 12822*s + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11328.3 grams to nanograms.\nAnswer: 11328300000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g*g**(1\/7)*g))))\/(g\/(g*g**(-2)))*g**4\/g**(3\/7) assuming g is positive.\nAnswer: g**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*q**3 - 3 + 4 - 1.\nAnswer: 470*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9374*z - 28*z**2 + 10*z**2 + 14025*z - 23399*z.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(2\/(-4)). Suppose -54 = -6*n - 66. Let s be n*(-2 + 6\/w). Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, p: 5, e: 1, z: 1}. Give prob of picking 1 t and 1 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 6, z: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let c(z) = -206*z. Calculate c(s(j)).\nAnswer: -206*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-60)*6\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/68 and 61\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-95) + (-18)\/171.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let i = -10392 - -10373. Which is the closest to 1\/3? (a) q (b) 3\/5 (c) i (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 8, e: 5}. Give prob of picking 2 e and 2 v.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 + 17 = 0. Let t(f) = 3 + 4 - 2*f + w*f. Suppose 17*x + 2589 - 1351 - 1357 = 0. What is t(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-112)\/(-6) + -3). Suppose -5*g = q - 43, -t = -5*q + 4*q - 3*g. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2285729.\nAnswer: 167, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -47\/2, 0.5, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 18. Solve -g + u + 10 = 4*r, -4*r - 5*g = -22 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d*d\/(d\/(d**1*d)))\/(d**(-4))**(-4\/9))**(-3\/4) assuming d is positive.\nAnswer: d**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -8 + (0 - 2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10245\/7 - (-80)\/(-140).\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3338.\nAnswer: 1\/3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - (-187)\/(-4). Let l be (y - 1)*8\/(-6). Calculate the highest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127322 divided by 2.\nAnswer: 63661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + -0.446. Let d = -6.379 + -5.745. Let u = d + i. Round u to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -29 - 12 - (7 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.28 + 36.28. What is the closest to 0 in r, -21, 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n - 1 + n - 4*n + (4 + 7 + 3)*(0*n - 2*n - n).\nAnswer: -38*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35632976 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6111)\/(-17640) - (-1)\/35?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162637 is divided by 40596?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1752 = 300*i - 5652 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -19*h**3 + h**2 + h - 1. Let l be d(1). Let z = -8 - l. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/2, 1\/4, 18\/211, -0.5, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25329713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let s(q) be the first derivative of -q + 0*q**3 - 4 - 1\/3*q**4 + 0*q**2. Let c(b) be the first derivative of s(b). Calculate u(c(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1264 (base 7) to base 4\nAnswer: -13213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 35. Let z be n(0). Calculate the highest common factor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/45)*y**20*y*y)**(-24))**(24\/7) assuming y is positive.\nAnswer: y**(-63488\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/5535 and -103\/18.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/72)\/((-1)\/12) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/68320*-30)\/((-3)\/(-8))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*j**4 + 2163*j**2 + 3*j + 20*j**4 - 11 + 30*j**4 - 53*j wrt j?\nAnswer: 36*j**2 + 4326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzh. Give prob of picking 2 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3863 + 5677. Let d = g + -255. Let t(m) = d*m - 3 - 1555*m + 3. Let h(i) = i**2. What is t(h(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*p**3 + 59*f**2*p**2 + f**2 + f*p**3 - 14*f*p**2 - 2288028*p**3 - 210*p**2 + 6*p wrt p?\nAnswer: 12*f**2 + 6*f - 13728168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-108)\/64*(0 - 212). Let h = 363 - u. Calculate the common denominator of h and 111\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + 330?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - 5 - 11 - 1 + 8 - 7*l**2 - 4*l. Let z(k) = -5*k**3 - 6*k**2 - 3*k - 8. Let u be 14\/(-4) - 3\/(-6). Let n = u - 3. Calculate n*o(m) + 7*z(m).\nAnswer: m**3 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881 = -170*t + 514 + 305 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 15 - 37 - c**2 + 30 - 4*c. Let y be h(0). Suppose 2*k + 4 - 20 = 0. Solve -y = -4*a + k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1921 * -132.\nAnswer: 253572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3832, -4116, -4400?\n\"Answer: -284*r - 3548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/(2 - 1). Let v(c) = c + 4. Let q be v(l). Solve j + 10 = h + 2*h, j - 25 = -q*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.597 + 0.403. What is the closest to 0 in -0.5, 1, w, -19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 157, -2, -1 in decreasing order.\nAnswer: 157, 17, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 2*y**2 + 2*y**2 + (-3 + 2*y + 3)*(3 - 3 + 2*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 8 = 0. Let j(d) = d**3 - 3*d**2 - 1. Let l(q) = q**3 - 2*q**2 - 1. Let z = -25 - 34. Let m = 56 + z. Determine m*l(y) + v*j(y).\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*p + 40. Let d = -15 + p. Let k = -0.5 + 1. What is the closest to d in k, 5, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149032.0066093 - 149032. Round k to four decimal places.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.838 rounded to 1 dp?\nAnswer: 41.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152 + 31*q - 149 - 26*q + 218 - 125 to i + n*q and give i.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-168)\/(-35))\/(-8) - (-908)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 + -28)\/((-4)\/(-6)*6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*m**2 + 86*m - 86*m)*(-3*m + 2*m + 0*m) - m**3 + 3*m**3 - m**3 to the form v*m**3 + f + c*m**2 + o*m and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5166 and -0.1.\nAnswer: -5166.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7638620?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**8\/23520 + q**7\/4410 - q**6\/2520 - q**4\/12 + 4*q**2. Let l(j) be the second derivative of z(j). Factor l(w).\nAnswer: -2*w*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - n + 2*n + 3*n - 204.\nAnswer: 10*n - 204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -51*a - 3. Let h be g(0). Let i be (-2)\/h*(-120)\/(-35). Factor -2\/7*f**2 - i - 12\/7*f.\nAnswer: -2*(f + 2)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4dc (base 14) to base 15\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -363 or -364?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h + 4. Let r(z) = -23*z - 21. Let u(d) = -6*r(d) - 34*s(d). Calculate u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -300 + -30. Let y be 1 + 0 + 4*9. Let j = y - s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149700565.\nAnswer: 5, 7, 4277159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 + 1 = 0, 0 = 5*n + p - 21. Let a be (-44)\/(-12) + 20\/(-30). Suppose -s + 70 = a*t, 8*t = 7*t - 4*s + 5. Solve n*w = -w - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773510 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-34) + 9\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 19*g + 27 = 28*g + 3*y, 27 = 3*g + y + 2*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 6, b: 2, k: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 3*t + 2. Let k be 6\/(3*4\/6). Let m be s(k). Suppose -4*b + 4 = g, -b - m*b + 2*g = -14. Sort -3, 0, b in descending order.\nAnswer: b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 + r**4\/24 + 4*r**2. Let a be k(-1). Solve a*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17082656957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10 = 5*q, 0 = -2*a + 4*a - 4*q + 6. Let l = 3 - a. Let c(t) = -3*t + l*t - t**2 + 6 + 0*t. Determine c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.4 - 6.6. What is the closest to 0 in y, -0.103, 1?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 24. Let y be (-474)\/o - (-2)\/5. Let x = -181 - -261. Calculate the greatest common factor of y and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b47 - 1?\nAnswer: -3b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f + 149551 = -1963*f + 2947 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.326 and 2.518.\nAnswer: -28.518868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -0.4 (c) 9 (d) 60.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4578\/327 + (0 - -3548)?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 93, 116, 139, 168, 209, 268, 351, 464?\n\"Answer: c**3 - 6*c**2 + 34*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.010976l?\nAnswer: 3010.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 232 + -270023?\nAnswer: -268681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxq when three letters picked without replacement from {q: 3, y: 2, x: 6, b: 4, n: 1}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401559 + 347436 = 22*u - 167987. List the prime factors of u.\nAnswer: 41681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -3*j + 4*q, -5*q + 15 = 3*j - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/160 + 47*m**4\/64 + 45*m**3\/8 - m**2 + 65*m - 2. Suppose d(a) = 0. What is a?\nAnswer: -45, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2 = -6*d + 9, 2*h - 7 = 2*d - 2*d - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 - 3*z + 1. Let h(d) = -d**2 - d. Let m(t) = -h(t) + p(t). Let i be m(1). What is the second derivative of 30 + 8*j**4 + i*j - 30 wrt j?\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-1*18*212\/(-954))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 + 213?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1281592.33 + 1287978. Let m = 6322 - n. Let c = -65 - m. Round c to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*a - 36655 - 8502, -5*d = 5*a - 75295. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 94. Calculate m(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/17? (a) 0.03 (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t + 25. Give p(12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192340653.\nAnswer: 3, 64113551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 - 12*n - 56. What is the units digit of p(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**5 - 437*w**4 + 2221*w**3 - 3872*w**2 + 2500*w - 416 = 0.\nAnswer: 1\/4, 1, 2, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*f + 31*f**3 + 167*f**3 + 103*f + 4*f**2 - 44*f**3.\nAnswer: 154*f**3 + 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.3 (b) -9 (c) 17 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18378 and 1631558?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 125. Let h be u(53). What is the greatest common factor of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.1142.\nAnswer: -0.0571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 2:04 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.3, -55, 0, 0.5, -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*c**3*h**2 + 4*c**3*h*n + 10*c**3*h + c**3*n - 32*c**2*h**2*n - c**2*h*n - c*h**2*n wrt c.\nAnswer: 204*h**2 + 24*h*n + 60*h + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 13) to base 9\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -69*d**3 - 4*d**2 + 8*d - 24. Is y(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((-4)\/(-50))*-12 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 2, t: 1, x: 5, s: 2, e: 2}. Give prob of sequence tsxq.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17862877, -1, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27842203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**3\/6 - 3*n**2 + 3*n. Let y be r(-6). Solve -s - 2*s - 15 = y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/sqrt(108) + 2 + sqrt(34)\/sqrt(2).\nAnswer: 2 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81763 + -56877. Does 46 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by -35.\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25247a (base 16) to base 8\nAnswer: 11222172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 17*l**2 + 8*l + 16. Let b be x(-17). Let v = -72 - b. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -374, -756, -1146, -1550, -1974, -2424?\n\"Answer: -d**3 + 2*d**2 - 381*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(8)\/(sqrt(4)*3)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 325. Let i(y) = y - 1. Let j(d) = 6*i(d) - r(d). Let a(w) = -w**2. Calculate j(a(z)).\nAnswer: -2*z**2 - 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 53 = 14. What is the remainder when 44 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -56. Let f be (-2)\/(-2)*(-6)\/(-27). Which is the biggest value? (a) n (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (0 + 3) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c4 + 3194?\nAnswer: 2db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 53*j - 17. Let u(g) = 2*g**2 + 26*g + 6. Let d(m) = 6*q(m) + 11*u(m). Let d(x) = 0. Calculate x.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 17584?\nAnswer: 35168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 395, 588, 787?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -161*p - 981. Calculate w(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20455 is divided by 189.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 274?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 4*a - 3. Let f be d(-3). Is f at least 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007205145168 to five decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 89*k**2 + 331*k + 1052. Determine i(-4).\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3797, -3766, -3717, -3650?\n\"Answer: 9*y**2 + 4*y - 3810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 + 0 + 10\/(-15). Let t(f) = -6*f**3 - f**2 + 2*f. Let g be t(2). Let x = 191\/4 + g. What is the nearest to x in q, 3\/7, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - -1*(sqrt(209) + -1*sqrt(209) - sqrt(209))) + (sqrt(209) - 6*-2*sqrt(209)))\/(2*sqrt(1100) + sqrt(88)\/(sqrt(8) - sqrt(128)))*6.\nAnswer: 234*sqrt(19)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - z**3 - 2*z**3 + 0 + 0 - 2*z**3 + (-2 + 3 + 0)*(-2*z**3 + 4*z - 4*z) + (6*z**2 - 4*z**2 + 12*z**2)*(0*z + 2*z + 0*z).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -5.0205\nAnswer: -75.3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbqrrbbbbrbrrrrbbr. What is prob of picking 1 r and 1 b?\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29970243, -59940484, -89910723, -119880960, -149851195?\n\"Answer: h**2 - 29970244*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**3 + 3*y**3 - 5*y**3)*(-7 + 2 + 4) + y**3 + 0 + 0 - 519*y**3 + 36*y**3 + 259*y**3 to q*y**2 + z + w*y**3 + i*y and give w.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -8*d + 948. Let j = -87 + d. Suppose -4*s = -5*c - 32, -s + 2 + j = -3*c. Solve s*k - 2*y - 3 = y, -4*k + 5*y = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 37225?\nAnswer: 223350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fififviiiivif. Give prob of sequence vi.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -792378263*i**3 - 23982130*i**2 + i - 3 wrt i?\nAnswer: -4754269578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * 3780642\nAnswer: 907354.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3918394 - 263231.\nAnswer: -263232.3918394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*1\/(-3)*3. Let x be 1 + 0 + -5 + -5. Let r = x - g. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*(sqrt(133) + 5*sqrt(133) + sqrt(133)))\/(sqrt(7) + 2*sqrt(112)) + -1 + 2)*-3)**2.\nAnswer: -84*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(2 - 5)*(-6)\/15. Let j(w) = -w**3 + 7*w**2 + 7*w + 7. Determine j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -0.73. Let n = h + 0.169982. Round n to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-18)\/(-120)*-4 + ((-8011120)\/25)\/(-13)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from qsssssss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**4 + 571703*q**3 - 2629680*q**2 - 5488164*q + 4116096 = 0.\nAnswer: -2, 3\/5, 6, 114336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/15 + 438*c**3\/5 + 95922*c**2\/5 + 7002306*c\/5 = 0. Calculate c.\nAnswer: -219, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 42. Let o = l + -5. Solve s - 4 = o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {n: 13, z: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/457992 and 127\/686988.\nAnswer: 1373976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**3 + 254*j**2 + 5292*j + 37046. Let g(z) = 12*z**3 + 763*z**2 + 15876*z + 111139. Let s(c) = 2*g(c) - 7*l(c). Factor s(m).\nAnswer: -4*(m + 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/1260)\/(((-20)\/24)\/(-5))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 465.265 to the nearest integer.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__round_number_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: Let f(j) = -12*j + 344. Let c be f(-24). What is the highest common factor of 395 and c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (864\/(-336))\/(6\/(-392)). Suppose -f*h + 164*h = -3812. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379944 divided by 5277.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -366, 3, -168410\/9?\nAnswer: -366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21332 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -3*g**4\/4 - g**2 + g + 2. Let h be f(1). Calculate the least common multiple of 5 and 4 + h - -5*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 3*t - 4. Let y be n(4). Suppose 5*v - 2*v = y. Solve 3*r + 0*r + 15 = v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 323 and 194085209.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10698 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 + 10*m - 15. Let l be 6\/(2 + 10\/(-1 - 9)). Calculate i(l).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-450) - (-3 + -1)\/24.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8478 by 942.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 40*g + 201. Calculate l(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.0254419?\nAnswer: 0.00254419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -r + 20*v - 19*v, 97 = 2*r - v. Suppose 0 = -x + n + 1, 0 = -5*x - 2*n + 5*n + 13. Calculate the remainder when r is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399245 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 37 + 29 + i to j + p*i and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2401157460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-43)\/172)\/((-11)\/572). Let t(z) = -z**3 + 15*z**2 - 27*z - 5. Determine t(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**21 assuming g is positive.\nAnswer: g**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*d + 3*d**4 - 68*d**2 - 71*d + 18*d + 1 + 2*d**3 + 19*d in the form y*d + c + o*d**4 + l*d**3 + v*d**2 and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0887 or 13064?\nAnswer: 0.0887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6331163.78582 + 120.21418. Let v = -6331283.12000116 + q. Let r = 0.88 - v. Round r to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5032 divided by 2516.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) - sqrt(20)\/sqrt(4)) - (sqrt(5) + -1*sqrt(5) + 2))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-27 + (-24 - -32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.0154 and 0.79.\nAnswer: 4.8054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/3))\/(a*a*(a**(-2\/23)\/a)\/a))\/(a\/a**(-9)*a*a**(2\/45)) assuming a is positive.\nAnswer: a**(-9616\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -225?\nAnswer: -7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l**2. Let o = -12 + 24. Suppose -m - 5*m = -o. Let w(b) = 2 + b - m. Calculate y(w(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*o = 3*k - 48*o + 165636, 0 = 3*k - 3*o + 165606. Let l = -1243 + k. What is l rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/7370 and 105\/1606.\nAnswer: 538010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 0*g + 1\/30*g**5 - 1\/90*g**6 + 0*g**2 + 8\/3*g**3 + 9 + 1\/3*g**4. Let l(t) be the third derivative of r(t). Solve l(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) -16\/5 (c) 0.2 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/25)\/(2\/340) + -3. Let l = c - -73. Solve 3*z + 2*t - l = -3*t, t + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 + 14. What is the tens digit of (-51)\/17 - s*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1081 = -8*m - 161. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300b3 (base 13) to base 14\nAnswer: -233c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -c. Let z(s) = s**3 + 6*s**2 - 4*s - 1. What are the prime factors of z(c)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1042885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 5*u**2 - u + 3. Let q(d) = 11*d - 2. Let p(m) = -2*g(m) + 3*q(m). Is p(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 38 - 38. Let m(x) = -12*x. Calculate u(m(n)).\nAnswer: -288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9960*s**4 - 7*s**3 - 108*s + 603?\nAnswer: 119520*s**2 - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*d**2 - 2*d + 3*d - d - 1.\nAnswer: 1100*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h**2 + 9*h + 14. Let u(p) be the second derivative of 3*p**4\/4 + p**3 + 9*p**2\/2 + 10*p + 23. Determine -5*f(w) + 8*u(w).\nAnswer: 2*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20755225 (base 8) to base 15\nAnswer: 5cc8ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9*j = -18. Let s(z) = -j*z + 12*z + z - 8*z. Let c(i) = 97*i**2. Calculate s(c(w)).\nAnswer: 194*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -18953684.2 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (19 - (-30 - (-7 - -15)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265 + -205. Calculate the common denominator of 87\/10 and 2\/t*(-291)\/9*-9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7083081 divided by -4\nAnswer: -7083081\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 6\/(-4))\/(((-117)\/216)\/(-13)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.4 (c) -0.5 (d) -2\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 41.9 (c) -3 (d) -0.11 (e) 750\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.8 + -10. Let u = r - 1.3. Let q = 0.35 + -0.29. Which is the smallest value? (a) u (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 = -3*s + 1, 0 = -5*o + s + 13. Let r be -5 + o - (-7 + 0). Solve -3*c + 9 = 3*i, 6 = 3*c - r*i - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.7999106 + -5.8. What is j rounded to 6 decimal places?\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 - 45*i**3 - 7*i**3.\nAnswer: -46*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooozzoqoqzq. What is prob of picking 2 o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u + 1. Let q(y) = -6*y. Let w(z) = 6*z. Let a(n) = 5*q(n) + 4*w(n). Let d(l) = -9*a(l) - 4*j(l). Let f(g) = -2*g. What is f(d(r))?\nAnswer: 4*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/13 - 646*f**2\/13 - 27730*f\/13 + 16236150\/13.\nAnswer: 2*(f - 235)**2*(f + 147)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:48 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 3*v + v)*(-4 - 2 + 1 + 2 + 0 - 1 + (-2 + 0 + 1)*(-3 + 4 - 2)) as g + m*v and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321773154 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Suppose -5*w + 5*z + 27 = 7, -c*w - 2*z = -8. Suppose -k + 5 = -p, w*k = -3*p + 3*k + 5. Solve 3*i - 7 - 2 = p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7 - 3*k**3 + 0*k - 5*k**2 - 2*k**2 + k - 2*k. Is r(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -21, -24, -27?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let g be w\/(-4)*0*-1. Let t be (-8)\/46*2\/(-4). Is t at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316.5 - -319.5. Let h = -1 - 2\/3. What is the nearest to -2 in h, 1\/12, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0, 9, -1\/5, 3 in decreasing order.\nAnswer: 9, 3, 0, -2\/11, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 - 86436*n**3 + 933551904*n**2 + 7474726372*n - 8408191842 = 0.\nAnswer: -9, 1, 21613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:08 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 8*t - 275. Calculate the remainder when t is divided by -2 - 2\/(4\/(-50)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -76?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3*a**3 - 3*a**2\/2 - 8*a + 2. Let r(c) = c + 1. Let b(t) = 6*r(t) + v(t). Factor b(w).\nAnswer: (3*w - 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/7 + 640*u**2\/7 + 1906*u\/7 + 1268\/7 = 0?\nAnswer: -317, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49719096?\nAnswer: 2, 3, 7, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 3 (c) -0.7 (d) 0.4 (e) -191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 6. Let g be k(-8). Suppose g + 1 = -3*o + y, -2*y = 3*o - 6. Suppose -2*f - 2*f + 16 = 0. Solve 3*j - 13 = 2*s, -f*s - 2*j - 21 + 3 = o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 3*a - 6*a)*(-2*a + 6 + 27 + 2) to the form n*a + b*a**2 + i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/7 - (15\/5)\/(-3). Suppose -2 = -2*a + 2. What is the biggest value in 1\/4, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 14) in base 3?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 232\/5 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 4*v - 8*v + 5*v**4 + 19*v - 3*v**2 - 15*v**3.\nAnswer: 5*v*(v - 3)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514.787718 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 10:10 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 69 = -11. Calculate the remainder when 58 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -4, 2, -5, 13, -25, 5.\nAnswer: -57, -25, -5, -4, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1587 and -95.\nAnswer: -95.1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/2 + 3*f**2 - 2. Find the second derivative of n(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**3\/3 + 8*l**2 - 8*l - 154. Let w be -2 + -15*(-4)\/6. Let m be b(w). What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = 0, 0*s + 104 = -4*s + 4*i. Let t = s - -33. Suppose 2*f - 245 = -4*a + 3*f, 56 = a - t*f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 8)*2\/(-12). Which is the third smallest value? (a) j (b) -0.3 (c) -3 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 382045.58700255 + -382019.587. Let l = 0.8 - -25.2. Let a = l - j. What is a rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20341100 - 2330?\nAnswer: -20343430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 - -79. Which is greater: z or -24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127168?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40375672 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, v: 11, k: 2}. What is prob of picking 1 v and 1 w?\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 9*d + 4. Let f(z) be the third derivative of -z**5\/60 - z**4\/3 - z**3\/3 - 2*z**2. Let q be f(-6). List the prime factors of l(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 4:46 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - x - 4. Let g be m(-3). Suppose -30 = 4*j - j. Let b = j - g. Solve -2*z - s + 11 = b, -4*z - 11 = -3*z - 5*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*j = -65*j + 32. Let z be (-2)\/6*-2*2\/(-12). What is the fourth smallest value in j, z, -4, 1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79570370 a multiple of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*w**5 + 1325*w**4 + 211*w**3 + 307023005*w**2?\nAnswer: 6300*w**2 + 31800*w + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h = 0. What is the units digit of (h - -1) + (6 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 39*m - 100114. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 15 = -14*h + 5*p, 2*p = 3*h + 17. Let d be -2 - -1 - 5\/(-15). What is the third biggest value in -1, h, -5\/6, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1308, 10271, 34594, 81957, 160040, 276523, 439086, 655409?\nAnswer: 933172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 3*a**2 + 5*a + 4. Let k = -8949 - -8945. Let t(l) = -l**3 - l**2 + l + 1. Calculate k*t(i) + z(i).\nAnswer: 6*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*p + 4, 0 = -6856*t + 6857*t - p - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232980 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0 + (4 + 3 - 4)*(0 - 3 + 1) + 0 + 3 - 1)*(5*t - 2*t - t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -26240 divided by -320?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3467*r + 19594. Give o(4).\nAnswer: 5726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 - x**2 + 4. Let l(c) = -5*c**3 - c**2 + 4. Let p(w) = -4*j(w) + 3*l(w). Determine p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 27 = -2*z. Let i = z - -5. Let o be 205\/((-3)\/(-2 + i)). What is o rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y**3 - 52*y**2 - y + 25. Let c(u) = u**3 + 4*u**2 + u - 4. Give 6*c(l) + p(l).\nAnswer: -l**3 - 28*l**2 + 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.123*0.10398.\nAnswer: -0.01278954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 362579023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 2 in ascending order.\nAnswer: -15, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 + 2*x**2)*(-5*x**2 + x**2 + 3*x**2) - x**4 + x**4 + 2*x**4 + x**4 + 2*x**4 - 6*x**4 + (-2*x**3 + x**2 - x**2)*(4 - 4 - 2*x).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225*w + 612*w - 21 = -618*w + n, -n = 202*w - 807 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42121 + 5?\nAnswer: -42113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*c + 31, x = 4*c - 37 + 7. Sort -319, 0, x, 2, 3 in increasing order.\nAnswer: -319, x, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 11*h - 6*h in the form l + y*h and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*u + 171*u + 78. Which is the closest to 0? (a) 3\/7 (b) u (c) 18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcorrrbrrrmomnrrnr. What is prob of picking 1 c and 1 r?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -897 - -8977\/10. Calculate the common denominator of y and ((-8)\/(-18))\/2*-1*(-1632)\/(-80).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -687452*f**4 - 98566*f**2 wrt f.\nAnswer: -16498848*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - 13. Let w be 8\/t - (-40)\/18. Suppose w*f - 4*f = -50. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/9 + 2*2. Suppose -5*y + d*y - 105 = 0. Suppose y = -c + 119. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/((-6)\/(-16)). Let a(o) = -o**3 - 13*o**2 - 17*o - 17. Let s be a(-12). Suppose 18 = 3*u + z - 6*z, 5*u - s = n*z. Solve -5*h - u + 1 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = n + 2*n - 48, 5*b + 48 = 3*n. Suppose 0*x = 2*x - n. Solve -2*r = -d + 3*d - x, 5*r - 4*d = -7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - j + 11, 3*n + 3 = -j - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4143312?\nAnswer: 2, 3, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*u + 360 - 1138 = 0, -5*r = 5*u - 1350. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.4, -5, -368, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/19 + -7\/76. Let w = 382 - 432. Let h = w - -49. Which is the closest to f? (a) -3 (b) 6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.5 times -21\nAnswer: 136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -11. Let p = l - -1. Let v = -1 + 1. Solve p*o - 2*o + 4*x = -4, v = o - x + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158280, -158278, -158276, -158274, -158272, -158270?\nAnswer: -158268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 49. Is (-25557)\/f*(-2)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 + 38*z**2 + 86*z - 968. Determine j(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*d**5 - 2*d**4 + 311*d.\nAnswer: -1640*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.795749179 to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*d - 20*d - 262*d + 2 - 7*d.\nAnswer: -385*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 5, z: 1, s: 1, r: 3, o: 4}. Give prob of sequence hrw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010 (base 2) to base 16.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 0.7 (b) 4 (c) -0.3 (d) 1\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-230))\/((-93)\/15810)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21490 - 21478. Calculate the greatest common factor of 13164 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170663953.\nAnswer: 1321, 129193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 17 + 263 + -156.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4089, 16492, 37203, 66222?\n\"Answer: 4154*n**2 - 59*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 4*i + 1. Let y be l(-5). Suppose 3*v = -q - 10, -3*q + v + 2 = -4*q. Let c be 6\/q + y\/(-1). Calculate the highest common divisor of c and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37498855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.068994 times -2841\nAnswer: 196.011954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3394*q = -3397*q - 3*d + 6, -3*q + d = -9*q + 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzmmtzxmzjzrjm. Give prob of sequence xjt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 565, 559, 533, 475, 373, 215, -11, -317?\n\"Answer: -2*j**3 + 2*j**2 + 2*j + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13417 + -9428. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 12561380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, a: 1, y: 1, u: 1, v: 1, q: 1}. What is prob of picking 2 g and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800815 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*l = 2*a + 18, -4*l - 2292 = 7*a - 2328 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 17*s + 60. What is y(-7)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 43\/2, 3\/8, 1199\/5, 0.1 in increasing order.\nAnswer: 0.1, 3\/8, 43\/2, 1199\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -5, -3, -6, -63, 0.05?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37022189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15443\/6 + -2566. Suppose z = -j - 0*j - 14, 0 = 2*z + j + 24. What is the common denominator of p and 154\/(-20) + (-20)\/z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 29539122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 0.2, 16, -27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p + 20. Let j be o(-15). Let t = j - 106. Solve x - t*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let w be s(1). Let m(b) = b**3 + b**2 - 2. Let j(r) = -r**3 - r**2 + 2. Let u(x) = -4*j(x) - 5*m(x). Calculate u(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s. Let r be i(-2). Is 138*(r\/6 + -3) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3)*18\/(-20). Let o = -294 - -291. Which is the closest to -1? (a) o (b) -2\/13 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*x - 545*x - 9*a = -22, -12 = -4*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 11 - 8*u**2 - 12 + 30 + 28*u**2.\nAnswer: 20*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4495 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 835589 to the power of 1\/2, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2897956402 and 1223.6.\nAnswer: -2897955178.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 4. Let s be c(3). Let o be (-3)\/(-2) - 218*6\/(-8). Suppose 0 = -2*k - 3*v + o + 254, s*v = -10. What are the prime factors of k?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/44 and -2\/9.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:53 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:31 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, 271, -16 in decreasing order.\nAnswer: 271, -2, -16, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(2) + 2*sqrt(2) - sqrt(2)).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160471546?\nAnswer: 2, 80235773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/40 + y**3\/3 + y**2. Differentiate l(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)\/a*a*a*a*a)\/((a\/(a*a\/(a*a**(-3\/4)*a*a*a)))\/a))\/(a**(-2\/5))**(-31\/4) assuming a is positive.\nAnswer: a**(-167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 22*a - 5. What is the common denominator of -29\/6 and (-1)\/8*a + (-1225)\/(-120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:26 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 977*z + 6843. Let c be p(-7). Solve -c*j + 16 = -4*g, -11*g + 4 = j - 14*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7367*k = 12180*k - 2988 + 166630 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0*-4*2\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 2, w: 3}. What is prob of picking 1 w and 2 s?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -66 (b) -4 (c) 2 (d) 3\/58801\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywc when three letters picked without replacement from {y: 1, w: 2, n: 1, c: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/(l*l*l**(-2\/3)*l))\/l))\/l)**18*l\/l**(9\/7)*l*l**(-1\/26))**(-5\/8) assuming l is positive.\nAnswer: l**(-38835\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19058756 take away -1?\nAnswer: -19058755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 2*l**2 - 2*l - 1. Let w be t(-2). Let v(k) = -6*k + 2*k**2 - w*k**2 - k - 2. What are the prime factors of v(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7457883449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:27 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*(c*c**(-1\/12))\/c)\/(c**(-1\/8)\/c**(-2\/5))*(c*c**(-7)*(c*c**1\/c)\/c)**(-2\/11) assuming c is positive.\nAnswer: c**(8887\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.5, -1\/5, -0.003 in descending order.\nAnswer: 0.1, -0.003, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - (-26 - -42)) + -62 + 31.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 3, y: 4}. What is prob of picking 2 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4\/9)\/j)**(-4))**19)**(-39) assuming j is positive.\nAnswer: j**(-3952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 2)\/(-2 - -12). Let x be (-16)\/(-8) - 9\/4. What is the nearest to g in -1, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -343 - 60*j**4 + 343 + (3*j**2 - 2*j**2 - 2*j**2)*(-3*j**2 - j**2 + 2*j**2) + j**4 + 3*j**4 - 3*j**4 as n*j**3 + b*j + h*j**2 + p*j**4 + q and give p.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011100100110001001000001 - -101?\nAnswer: 10001011100100110001001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-10 - -14) - 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1517*j + 14298 = 680*j - 23051 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:37 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1133 (base 5) to base 10\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51965 = -19*b - 51737. Calculate the greatest common factor of 4332 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*d - 27866, -23*l = -14*l - 5*d - 62736. What are the prime factors of l?\nAnswer: 2, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 5*d - 4*d)*(0 + 4 - 3) - 1 + 1 - d)*(2 + 44 - 2*d + 0) + 2*d**2 + 3 - 3.\nAnswer: 6*d**2 - 92*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 3*c - 2. Let v(f) = f**2. Let r(s) = 4 + 3*s + 3*s + 1 - 7*s. Let y be r(7). Let o be v(y). Calculate x(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, t: 1, p: 1, c: 2}. What is prob of sequence xpcx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5930781, 5930782, 5930785, 5930790?\n\"Answer: p**2 - 2*p + 5930782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 657 - 658. What is the closest to q in -2\/9, 2\/3, -2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/26)*g**(3\/5)*g**(-1\/3)\/g*g**(-21) assuming g is positive.\nAnswer: g**(-8431\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 196977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 318*g**3*v - 459188*g**3 + 8*g**2*v + 2*g**2 - 975*g*v - 5*g + 3*v + 4 with respect to v.\nAnswer: 318*g**3 + 8*g**2 - 975*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 490*j**4 - 485*j**4 + 7 - 10*j**2.\nAnswer: 5*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234.9486 + 235. Let y = t + -0.115. Let s = y + 0.051. What is s rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5, 0.04, -0.5, -48?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 82. Let j = 6 + y. Let t be 3\/(-9) + 22\/102. Are j and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + -89 + 208 - 117.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 30*q + 33. Let s be o(16). Is s > 15\/86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 7*n**2 + 3*n - 8. Let r be 12\/10*2325\/9. Let k = -316 + r. Calculate d(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjgjgjjjpjfpff. What is prob of picking 2 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -20. Let s(r) be the first derivative of 0*r - 1\/5*r**b + 1\/3*r**3 + 1 + 0*r**2 + 0*r**4. What is the third derivative of s(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -123, -206, -309, -438?\n\"Answer: -i**3 - i**2 - 59*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5119733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73994.59 millilitres in litres?\nAnswer: 73.99459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9)*(22\/(-4) + (-67 - -71)). Sort n, 6, 2\/7, 5, 4 in descending order.\nAnswer: 6, 5, 4, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 + 1000*z + 121128 = 0. What is z?\nAnswer: -294, -206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (37500\/4375)\/(6\/7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 51*p + 51*p - p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -4 + 30\/2. Let i = k + -10. Suppose -33 = i*t - 5*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 840766832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5123)\/423 - -12) + (-92)\/(-18). Put -766, 1, d in ascending order.\nAnswer: -766, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -2.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -22. Suppose s = 5*f + a*s + 1609, -4*s + 628 = -2*f. Let r = 476 + f. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-162)\/15)\/(3\/(-30)). Suppose -68 = -8*u + t. Calculate the remainder when 108 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 6*f - 6. Let c be z(6). Let k be 5\/2 - 9\/c. Solve -k = 5*r - 4*j, 12 = 2*r - j - 4*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134543140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-9*11)\/((47\/(-7144))\/(1\/3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.114 + -27.114. Sort -2\/5, w, 0.3, -5.\nAnswer: w, -5, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 + m + 1. Suppose 14*u = 9*u - 10. What is the remainder when 43 is divided by x(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1653 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-145 - 84 - 10049*l + 10051*l)*(492 - 247 - 245 - 141*l**2) in the form t*l + x + f*l**3 + g*l**2 and give g.\nAnswer: 32289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -34 - 790. Let x = -147 + i. Suppose -x - 97 = -4*q. What is the greatest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 3) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i*r + 3*i*s - 9*r*s - s - 5 wrt i.\nAnswer: 6*r + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -258*g**3*p + g**3 - 103*g with respect to p.\nAnswer: -258*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3\/5 + 2842568*x**2\/5 + 2274064*x + 11370336\/5 = 0. What is x?\nAnswer: -2, 710646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23923076 = 115*j + 23910886 for j.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t - t)*(-3*t**2 + 23*t**2 + 6*t**2)*(-4*t**2 + 5*t**2 - 4*t**2) + (5*t - 4*t - 2*t)*(-5*t**4 + 2*t**4 + 2*t**4).\nAnswer: 157*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/14)\/((-14553)\/(-77616)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14941*q**3 + q**2 - 7*q + 94687.\nAnswer: -44823*q**2 + 2*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2257554 and -0.4.\nAnswer: -0.6257554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104166*n**2 - 129491*n wrt n?\nAnswer: 208332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + sqrt(500)*2)*-5)\/((sqrt(110)*-2)\/sqrt(11) - sqrt(180)\/sqrt(2)).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2154, -4369, -6616, -8901, -11230?\n\"Answer: -k**3 - 10*k**2 - 2178*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 966.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15522038.317 minus 1?\nAnswer: -15522039.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7031707 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 87 + 292 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276496 and 10736?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 5:46 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 40*r = 5*s + 40*r + 6, -10*r = 2*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 3. What is the highest common factor of k and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/12789 and -81\/79576?\nAnswer: 716184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**40)**48\/((p**(2\/3))**(-2\/97)\/(p**(2\/7)\/p)**(-12\/11)) assuming p is positive.\nAnswer: p**(-43003672\/22407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -120?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.021501.\nAnswer: -0.0064503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n + 0 + 7 - 3*n. Let r(o) = 2*o + 3. Determine 3*k(l) - 7*r(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 31 - 57 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-9) - -3)*(-2)\/2. Let m = r + 157\/63. What is the nearest to 0 in -1, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*k*n**3 + 426*k - 108*n**3 + 2 wrt n?\nAnswer: 24*k*n**2 - 324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1.39442528.\nAnswer: -4.18327584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, -0.5, 3\/161, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-3 + 1 + 4)*(-77 + 77 - 22*f**2).\nAnswer: 88*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/5 - (-8)\/(-20). Suppose 0 = l - 2 + 4. Let p = m - l. Solve p*s - 2 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 24*o - 207. Let k be n(8). What is the greatest common factor of k and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3. Suppose -2*y - 108 = 7*y. Let s be (y\/8)\/(1\/(-8)*-4). Which is the nearest to -2\/5? (a) -0.5 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5403440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52152 - -24?\nAnswer: -52125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipiipvtkiiipiijk. What is prob of sequence tpk?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/210 + f**5\/7 - 72*f**4\/7 + 3968*f**3\/21 - 125*f**2 - 1. Factor j(l).\nAnswer: 4*(l - 8)**2*(l + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 2.7. Let z = 95.2 - 95. Which is the third smallest value? (a) z (b) y (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2 - 3. Let i be l\/(-4) + 2\/8. Suppose -3*g - 5 = -2. Which is greater: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let g(y) = 6*y. Let p(l) = -3*l + 37. Let f be p(15). Let u(h) = f*k(h) - g(h). Let z(s) = 4*s. Determine z(u(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 - -437\/3. What is the second biggest value in 6, -5, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*t*v + 27*h**2*v + 988074*h*t + 1229*h*v - 12*h - 2*t*v wrt t.\nAnswer: 2*h**2*v + 988074*h - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:28 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246474944.\nAnswer: 2, 29, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-6))\/((-228)\/(-456))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989\/21 > 333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9034 (base 13) in base 9?\nAnswer: -30157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**4 - 21*n**3 + 30*n**2 + 99*n - 54 = 0. Calculate n.\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 149774560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 25005*n**2\/4 + 604019*n.\nAnswer: n*(n + 97)*(n + 24908)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3112 - 4622. What is j rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123*r**4*x + r**4 + 196*r**2*x + 296*r*x + 7*r + 271*x wrt r?\nAnswer: 1476*r**2*x + 12*r**2 + 392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*l + 4*m + 13, -2*l = 2*m - 46. Solve 3 = 3*d + n, 5*d - 4*n + l = 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 5. Suppose 5*c + 4*a = -8, -2*c = 9*a - 4*a - 7. Determine f(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 17723*c**3 + 27309*c**3 + 12.\nAnswer: 9586*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5146 - 5111. Calculate the remainder when 339 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443 - 31342034?\nAnswer: -31343032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 22230?\nAnswer: 22233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from siaiicoi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022894 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9}. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 32, -7\/3, 0.4, 15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:04 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0, 5 in decreasing order.\nAnswer: 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -2, -7, 0 in descending order.\nAnswer: 14, 1, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -13)*34\/6. Suppose 16 = 5*f - o. Let u = 13 - f. What is the nearest to -1\/3 in -0.2, u, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.91 and -201448.\nAnswer: 183317.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 46 - 20 - 47 + 41*f + 77 - 52.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -898 - -900. Let q(m) = 3*m**3 - 9 - 7*m**o - 150*m + 153*m + m**2 - 4*m**3. What is q(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 + -1.6. Let h = p + -0.1. Which is the smallest value? (a) -1 (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 55 = 5*t, 2*t + 2*i = t - 2. Let y be (0 + 3)\/((-1)\/(-8)). Let l = t + y. What is the smallest common multiple of 10 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 1 - 1. Let a(d) = d. Let t(g) = -3*g + 2. Let z(x) = -x + 1. Let c(u) = 5*t(u) - 10*z(u). Let i(q) = -11*a(q) - 2*c(q). Calculate i(b(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -13*l - 21. Let k(h) = -46*h**3 + 8*h**2 - 3*h + 4. Let i(x) = x**3 + x. Let y(s) = l*i(s) + k(s). What is the third derivative of y(j) wrt j?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 289, 580, 985, 1504, 2137?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4327 - -4339.276. What is p rounded to 1 dp?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*y + 6, -5*y + 14 = -4*v + 42. Let k be v\/(4\/(-18)*-3). Let l(u) = 2 - u**2 + 2*u + k*u**2 - 3*u + 0*u**2. Calculate l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010 - -213?\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2490281?\nAnswer: 97, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 16 + -14 + 0 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/3 - 1034*l**2\/3 - 205216*l\/3 - 9370240\/3 = 0.\nAnswer: -88, 1210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 18 - 34 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r + 4. What is the tens digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 13*y**2 - 423*y - 13. Let a(r) = -r**3 - 9*r**2 + 293*r + 9. Calculate 10*a(c) + 7*d(c).\nAnswer: -3*c**3 + c**2 - 31*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1724*t**3 + 3 + 449*t**3 + 0 - 4.\nAnswer: 2173*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 1. Let q be ((-12)\/10)\/(130\/(-325)). Suppose q*f = 5*x + 27, -3 = 2*f + 5*x + 4. Let a(t) = 5*t + 2. Give f*a(k) + 11*z(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 789?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j. Let s be l(0). Suppose 5*m = -5*d + 1880, 4*d + 3*m - 103 - 1402 = s. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180168738 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 472, -1\/4, 3, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9085 (base 11) to base 15\nAnswer: -389c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -29. Suppose 0 = 5*p - 5, -4*p - 73 = k*z + 55. Let h be z\/(-36) - (-1)\/6. Solve 3*b = -2*v - h - 2, -5*v - 10 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**8\/336 - 17*m**7\/210 - m**5\/15 + m**3\/6 + 12*m**2 + 3*m. What is the third derivative of b(w) wrt w?\nAnswer: -60*w**2 - 408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261112749 to the power of 1\/2, to the nearest integer?\nAnswer: 16159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 23*c + 11. Let z be v(17). Let j = z + -110. Let t(g) = g**2 - 6*g + 4. Give t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -24 + 36 - 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 120a0b?\nAnswer: 120a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1474.1112 months to centuries.\nAnswer: 1.228426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153901057389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = g + 5*n + 8, -8 = -g + 2*n. Let o be g + 6\/(-3 + 5). What is the highest common divisor of o and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x**2 - 1. Suppose 0 = -2*g + 5*b + 12 + 9, -4*g + 27 = -5*b. Suppose 0 = l + g*l + 4. Let v be r(l). Solve 3*d - v = k, 5*k + 0 = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -39*6*801\/(-18)*1. Calculate the greatest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 3*o - 3. Let z(j) = 74*j - 435. Let d be z(5). Suppose 3*q - 4*q = 2, 5*q - 116 = -2*f. Let u = f + d. What is r(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q. Suppose 3*c = -5*a + 35, -4*c - 155*a + 38 = -157*a. Let h(k) be the first derivative of -1\/2*k**2 + 0*k + c. What is i(h(y))?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13384*u + 26. Let x(a) = -2*a**2. What is z(x(v))?\nAnswer: -26768*v**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ela when three letters picked without replacement from {u: 1, e: 2, l: 1, f: 3, a: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, b: 3}. What is prob of picking 2 b and 2 n?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 384 + -293 + (-176 - 8)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 + 7*s**2 + 3*s - 4. Calculate b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/((-1360)\/(-9544)) - 8\/(-68) and -15\/928?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2331430 - 122?\nAnswer: 2331304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - (-4)\/3*90\/(-24). What is the tens digit of 712 - 30\/k - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1001650*r**2*s**3 + 4*r*s**2 - 2*r*s - 15693*s**3 - 356*s**2 + s wrt r.\nAnswer: 2003300*r*s**3 + 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 16 = -5*c, i - 2*c = -3*i + 8. Suppose -t + i*t - 51 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/11, -1.6, 4, -0.06, 0?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -34*k**2 - 2516*k + 6866. Let a(f) = 11*f**2 + 834*f - 2289. Let w(b) = 19*a(b) + 6*c(b). Factor w(n).\nAnswer: 5*(n - 3)*(n + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 277, 741, 1599, 3079, 5409, 8817?\n\"Answer: 38*o**3 - 31*o**2 + 291*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m + 18*m + 13*m - 43*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**3 - 2*v**2 + 5*v + 4. Let c(t) = -10*t**3 - t**2 + 4*t + 3. Calculate 4*c(i) - 3*h(i).\nAnswer: -10*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfuuukuucdkk. Give prob of sequence kc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*t**4 - 534*t?\nAnswer: 600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 6\/13*p**5 + 0*p + 8\/13*p**2 - 30\/13*p**3 + 16\/13*p**4 = 0. What is p?\nAnswer: -4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9057701.76 rounded to the nearest one thousand?\nAnswer: 9058000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -16. Let j be 1\/((-12)\/15)*x. Suppose 3*h = 2*s + 2219990, j*s - 34 + 9 = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4\/2 - 458122*a**3 + 20988218043*a**2 - 58763144034*a - 25184322387\/2 = 0.\nAnswer: -1\/5, 3, 91623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 4 + 0 + 5 + a**4 + 6*a**2 + 4*a.\nAnswer: (a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekneevnnnenvn. What is prob of sequence en?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 52174.6 to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -420?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295620696?\nAnswer: 2, 31, 5224277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = -5*g + 11*g. What is the remainder when g is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 33. Calculate the remainder when 18 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/8)\/(1\/(-8)). Let o(p) = 2*p - 71. Let r be o(38). Solve s = -i*s - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckj. Give prob of sequence kc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1765317 = -43*i - 1766822 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187141 to the power of 1\/2, to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*r + 90862 = 0, m - 21*r = -18*r + 45419. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*k**2 - 135*k**2 + 23*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1656\/144)\/(37\/148)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (113*g - 59*g - 57*g + 14)*(3 + 0 + 0)*(-7 - 3 + 1)*(-2*g + 0*g - 2*g) to the form k*g**2 + i*g + n and give i.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.2787nm to millimeters.\nAnswer: 0.0000032787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 293177*u. Let i(o) = -7*o + 4. Give i(n(z)).\nAnswer: -2052239*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i - 198*i = 191*i - 1721850. List the prime factors of i.\nAnswer: 2, 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2921967.5.\nAnswer: -8765902.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 24724.47.\nAnswer: 24724.47","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 423371*r + 1165231 wrt r.\nAnswer: 423371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let z = 0 + d. Let n = 1217400 - 1217399. Which is the second smallest value? (a) n (b) -0.19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -444, -4, 1.8, -4\/57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**4 + 2*j**2)*(2 + 2 - 6)*(1 - 1 + 3*j)*(1 - 4 + 5).\nAnswer: 24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 2288*i\/5 - 58136\/5.\nAnswer: -2*(i + 26)*(i + 1118)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 800316069, 800316070, 800316071, 800316072, 800316073?\n\"Answer: o + 800316068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1553)\/966)\/((8\/6)\/(-4)). Let w = d + -5\/46. Find the common denominator of 42\/47 and w.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 12722?\nAnswer: -12727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -883\/8 > -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 55 = 5*l, -4*l - 38 = -3*b - 3. What is the remainder when 139 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2429765 is divided by 669.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2399942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t + 11. Let d be p(0). Let y = -7 + d. Suppose q + 12 = y*q. Solve 2*h + 2*m + 0 = -2, q*m = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 - 5 - n**3 + (-1 + 9 + 7)*(-4*n**3 - 144 + 144) to the form s*n**3 + u*n + m + a*n**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 1539\/4*p**2 + 3\/4*p**4 - 141\/4*p**3 - 102885\/2 + 11913\/4*p = 0?\nAnswer: -10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2699, 5334, 7959, 10568, 13155, 15714?\n\"Answer: -f**3 + f**2 + 2639*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25120)\/12)\/8*(-2)\/20. Let o = v + -74\/3. Factor -o*l**2 + 7\/4*l - 1\/4*l**3 + 0.\nAnswer: -l*(l - 1)*(l + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(2\/39)\/d*d)*d\/d**(2\/27)*d)\/((d\/d**(-23\/4))\/d*d**(-20)*d) assuming d is positive.\nAnswer: d**(24043\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/12)\/((2\/54)\/((-68)\/408)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/56 + 2609\/7. Suppose 0 = 4*m - 4, -3*s + d = 2*s - 2*m. Suppose 0 = -5*j + 15, -3*b + b - j = -s. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 54\/5, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j**2 + 10*j - 37*j**2 + 31*j**2 + 10*j - 6*j to the form t + i*j + p*j**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 + 140?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let f = x + 1. Let z(g) = 2*g**2 - f*g**2 - g**2. Let c(b) = 2*b. Give z(c(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 0. Let h = z - -0.62. Let l = h - 0.9. Which is the biggest value? (a) -4 (b) l (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 6*n + 4*n. Which is the closest to -0.1? (a) 0.1 (b) -0.0422 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {w: 14, p: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**3 + x - 2. Let u(h) = 5*h**3 - 10*h**2 + 30*h - 60. Calculate -30*p(n) + u(n).\nAnswer: -115*n**3 - 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 309, 310, 311?\n\"Answer: p + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15636629*w**4 + 12596665*w**2 wrt w.\nAnswer: 375279096*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5232 - -36701. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6456\/84 - 89) + 2\/14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide (-234 + 216)\/(6*(-1)\/1306)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44414 + 0.04414. Let r = 241\/410 - -1\/82. What is the smallest value in n, r, 3\/13, -1\/10?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s. Suppose 3*h - 8*h + 10 = 0. Let f be h\/12 - (-43)\/(-6). Let r(k) = -5*k - 7. Let x(t) = 3*t + 4. Let m(y) = f*x(y) - 4*r(y). Give m(w(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4232, 8498, 12766, 17036, 21308, 25582, 29858?\nAnswer: 34136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/7623 and 32\/495?\nAnswer: 38115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 - i - 3. Let v(c) be the second derivative of c**4\/12 + c**3\/6 - 3*c. Calculate -r(j) - 2*v(j).\nAnswer: 2*j**2 - j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162594 and 28242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000001010110 (base 2) in base 3?\nAnswer: 11120201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2219902, -2219900, -2219898?\n\"Answer: 2*c - 2219904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8448 by -772.\nAnswer: -2112\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + -19. Let i be (-38)\/(-84) + 6\/g. Sort -0.1, -2\/7, i in descending order.\nAnswer: i, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p + 88. What is n(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is 385 minutes after 8:20 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 66*c - 4. Let r be u(5). Let o = r - 2274\/7. Factor o*s - 2\/7*s**2 - 8\/7.\nAnswer: -2*(s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*y - 68, -2*d + 76 = 3*y + 3*d. Suppose 5*p + 3 = 23. Suppose 0 = 3*h - 6, -h + y = 3*v + p*h. Solve 0 = w + 2*w + 5*q - 25, 20 = 3*w + v*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 15844750?\nAnswer: 1584474a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1789, 2605, 2, -2, -4 in increasing order.\nAnswer: -1789, -4, -2, 2, 2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(1\/111). Suppose 0 = 4*v - y - 43. Suppose 2*h + 10 = -3*h + 3*o, 0 = -h - 3*o - v. Let p(z) = z + 2. Calculate p(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 + 9*w - 363. Determine h(6).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, -30.\nAnswer: -30, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.8817 to 1 decimal place.\nAnswer: 49.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -39 - 24. Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104) - sqrt(104))*3)\/((sqrt(648)*3 + sqrt(648) + sqrt(8) - sqrt(8)) + sqrt(8)).\nAnswer: -6*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 6*b**2 - b + 8. Give j(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:17 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089 - -811.8615797.\nAnswer: 811.7725797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8687168 and 1176?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 - t - 4. Let x be l(0). Let v(r) be the second derivative of r**5\/20 + r**4\/4 - r**3\/2 - r**2 + r. Determine v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (0 + sqrt(2736) - sqrt(2736))*3) + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 9180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114, -111, -108?\n\"Answer: 3*p - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 24*l**2 - 4*l - 10. Let w be c(24). Let k be 265\/w + (-2)\/(-8)*2. What is the units digit of 3 - (4\/k + -2 + -80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036135 rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 21327.\nAnswer: 554502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0021 less than -96962?\nAnswer: -96966.0021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*n*p + g**3*p*v**2 - 404*g**3*p*v - 2*g**2*n*p*v - 1346*g**2*p*v**2 - g*n*v**2 wrt v?\nAnswer: 2*g**3*p - 2692*g**2*p - 2*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2089 + 6275 - 2092 - 2096 - 3902*h to b*h + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/((-57)\/(-30) + -2). Solve -3*r + z = 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -18. Let g(c) = c**2 + 7*c + 1. Calculate the remainder when g(h) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1194 + 108 = -14*r. Let h = r - -185\/2. Which is the smallest value? (a) -2\/23 (b) 0.02 (c) 1\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-170)\/15*(-3)\/2. Calculate the remainder when 57 is divided by p + -6 + (-4)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1169 = -4411. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 >= 2230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 18*n**2 + 45*n + 2. Let p be d(-15). Let y be -3 - (3 - (-38)\/(-7)). Which is the nearest to -1? (a) 0 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 2*a + 1. Let x be 1 + (-6 - -3)\/(-1). Let g be u(x). Let r be 11\/4 - g\/12. Solve -15 = s + r*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 3*d + 9 = 19*x, -2*d = 3*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 54 - 38 - 26 - 4*l.\nAnswer: -4*l - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11386.172321426 - 0.267578574. Let h = v + 11340.440013. Let d = -46 - h. What is d rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)\/(-2 - (-8853)\/4314). Let r = t - -58\/3. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/j)**(1\/32)*j**(-4)\/j**(-1\/11) assuming j is positive.\nAnswer: j**(-1343\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-886)\/(-8))\/(10\/40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 37*o. Let c(u) be the first derivative of u**3\/3 - 181. Give c(m(i)).\nAnswer: 4*i**4 - 148*i**3 + 1369*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196.1 + -196. Let t = -1005 - -1004.483. Let m = -0.017 - t. Which is the nearest to 2? (a) 2\/9 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22616 and 20536.\nAnswer: 58055272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 - 6. Let j(y) = y**2 - 1. Let d = 1834 - 1829. Give d*s(w) - 30*j(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(40\/75)*(-15)\/(-9). Suppose -4*q + 5*b + 62 = m, 2*q = -4*b - 14. What is s in -2\/3*s**2 - 2\/9*s**4 + 8\/9*s + 8\/9 - 8\/9*s**q = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 334, 20 in decreasing order.\nAnswer: 334, 20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 231*v - 25. Let m be q(7). Is 1591 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 6*x - 4. Let u be i(5). Calculate the remainder when 423\/48 + (-21)\/(-112) is divided by 2*u\/1 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -598669 and 1.\nAnswer: -598669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.455? (a) -4\/11 (b) 0.7 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 4*v**3 + 3*v**3 - 9 - v**3 as r*v**3 + q*v**2 + l + i*v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65\/14 - 599\/126. Let m = 16.1 - 16. Which is the closest to -1? (a) p (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5302)\/165 - -30) + 5\/(-45)*-21)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*14\/140)\/(-14*(-1)\/3)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 - 2*s - 20. Let p(k) = 8*k**2 + 6*k + 59. Let r(j) = 11*c(j) + 4*p(j). Let a be r(0). Solve -g - 5*u = -21, 3*u - a = -g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:30 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 159.427, 0.2, -6, -6\/11, -1?\nAnswer: 159.427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 1, u: 2, i: 5, v: 1, p: 3}. What is prob of sequence vqui?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 + -4.500038. What is a rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n - 6 = -5*i, 0 = -4*i - 3*n + 3. List the prime factors of 86\/i + (-2)\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -51. Suppose -5*q + 75 = -45. Let n be 2\/s + q\/(-210). What is the closest to 0.4 in n, -0.5, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s + 10. Let v be (s\/4)\/((-2)\/(-32)). Let t = 21 + v. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/22 and 109\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6557, 13114, 19669, 26222, 32773, 39322?\nAnswer: 45869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 726 - 725.8. Let c = -0.24 + 0.3. What is the biggest value in f, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 7040*w**3\/3 + 9*w**2\/2 + 70*w + 795. Find the second derivative of m(p) wrt p.\nAnswer: 14080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671096166 to the power of 1\/2, to the nearest integer?\nAnswer: 40879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39915, -79072, -116703, -152046, -184339, -212820, -236727?\n\"Answer: 127*a**3 + a**2 - 40049*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:02 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24.66371 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(72) + sqrt(6)\/(sqrt(3)*-2))**2 + 1 + 1.\nAnswer: 22*sqrt(2) + 133\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (0 + sqrt(128)))*-3 - (3 + sqrt(128) + 1))**2 + (-3 + (sqrt(128)*2 + 2 - sqrt(128) - (0 + -2*sqrt(128) + sqrt(128))))**2.\nAnswer: 32*sqrt(2) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - 14240\/(-25). Let n be r + 7 + 1 + 1. Suppose 5*z = 2*l + n, 3*z + 4*l - l - 339 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3303*a - 74776. Give h(-22).\nAnswer: -2110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (157 - 75) + -88 + 51 + 2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -424652*c**6 + 136*c**2 - 1381*c?\nAnswer: -50958240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2 + 1)\/((-8)\/(-12)). Suppose -3*f + 2*x + 2*x - 16 = 0, 3*f + w*x - 12 = 0. What is the units digit of f\/(-7 - -3) + 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-29 - -20 - -10) + -21).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1746513 millimeters?\nAnswer: 174.6513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*g)*((3*g + 0 + 0)*(4*g - 7*g - 7*g)*(3 - 8*g - 3) + (-2*g**2 - g + g)*(3*g + 3*g - 4*g) - g**3 - 3*g**3 + 5*g**3).\nAnswer: -474*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 - 29*i + 26. Let g be h(-14). Suppose 5*b + 5*d = 2*b + g, 5 = 5*b - 4*d. Solve a = -4*z - 2*a - 9, b*z = 3*a - 18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 823 (base 13) to base 6\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (13\/(2392\/(-1488)) + 4).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*l*x**2 - 8*l*x + 6751158*l - 6*x**2 + 88*x wrt x?\nAnswer: 64*l*x - 8*l - 12*x + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-6)\/(-2) + -4. Suppose 3*y + 4*x = k*x + 14, -2*x - 18 = -5*y. Suppose y*p - 12 = 10. What is the remainder when 31 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440 and 55544225?\nAnswer: 444353800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 44*b**2 + 864*b - 7022. Give z(18).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-24 - -17) + 20 + -15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-570)\/4104)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnnnnnnnnnnntnnn?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11647.98575 - 11357.21. Let j = i + -236.7757584. Let x = 54 - j. What is x rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -2\/13 (c) 3 (d) -1781\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36051 != 36055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1026535 divided by -5.\nAnswer: 205307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/40701150 and -7\/6570.\nAnswer: 40701150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*s = -2*s - 16, 19 = -4*z - 5*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w - 13. Let b be o(-6). Let g = -21 + b. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-3)\/(-1))\/((-22)\/11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1127736 and 216?\nAnswer: 1127736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 714 = l, 33*l - 34*l = -5*h - 710. Calculate the remainder when l is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*-3*-1*3\/(-9). Let d be (1 - 3)\/(68\/k). Put d, -0.15, 0.5 in increasing order.\nAnswer: -0.15, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - -12. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-6)\/4)*10. Let z(t) = -109*t + 1. Let i be z(-1). Suppose -3*m = 5*u - i, u + 2*u + j*m - 50 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -887926, -3551689, -7991292, -14206741, -22198042?\nAnswer: -31965201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 96 = -o + 2*m, 480 = 5*o - 5*m. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19569 - -12169. What is the hundreds digit of a\/(-28) + 6\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = 0. Suppose 2*t - 64 = -n*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*v + 25 = 0, -5*p - 7 - 13 = -4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4656 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 258? (a) 57 (b) 1\/2 (c) -0.1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r - 196. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t + 22*t + t + 102 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m**3 + 20*m**3 - 152*m**3 + 78*m**3 + 3 - 2*m**2 + 2*m**2 + 30*m**3.\nAnswer: 3*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/sqrt(2) + 5)**2 - (-6*(sqrt(17) + sqrt(272)))**2) + (1 + 1 + sqrt(459)\/sqrt(3))**2.\nAnswer: -15101 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737310 divided by -2.\nAnswer: 368655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/(-27)*30\/(-4). Let i be (-1)\/(1\/2) + 2. Suppose 0*j - 5*j - a = i. Sort -5, -4, j in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -10. Let v(m) = 5*m + 0*m + 0*m. What is the least common multiple of g and v(1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*z - 1, c = -4*c - 5. Differentiate -14 + 5*k**z - 11*k**2 + 38*k**2 + 26 wrt k.\nAnswer: 64*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 0*f)*(-2*f - 1 + 1)*(-2*f**3 - 5*f**3 + 3*f**3)*(-3 - 2 + 4)*(40 - 24 + 42).\nAnswer: 1392*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6879 is divided by 2292.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 275, 1027, 2281, 4037, 6295?\n\"Answer: 251*h**2 - h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -40. Let b = -31 - g. Let y be 214\/280 + b\/20. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 2)*((-4 + 1 + 2)*(-3*g - 1 + 1) + 3*g + 2*g + 0*g + (-2 - 1 + 1)*(2*g + 3*g - 4*g)) in the form a + p*g and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3072 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1971b5 (base 14) to base 12.\nAnswer: -37678b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, g: 8, r: 2, k: 2}. Give prob of picking 2 k and 1 s.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) 1\/49215 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 40*z**3 - 21*z**3 - 3*z.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10221430 (base 5) to base 10.\nAnswer: 85865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/40 + u**5\/60 - u**3\/3 + 65*u**2. What is the third derivative of i(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, r: 5, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 8) in base 5?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 2*i)*(16*i**2 + 8*i**2 - 13*i**2) + 3*i**3 + 3*i**3 - 3*i**3 - 9*i**3 - 76*i**3 - 113*i**3.\nAnswer: -184*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:08 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/(-27))\/8 + 250828172\/(-126). Round l to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6726737 years?\nAnswer: 0.0006726737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/4998*(-9)\/(-2).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -13. Let d = 9 + j. Let f(s) = -s + 2. Let v be f(6). Which is the biggest value? (a) v (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*f - 1 - 7, -14*f = -16*f + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0 + (-5 + 5 + 2)*(3 - 2 + 1) + 3 - 1 - 3 + 0 - 2 + 0 + 2 + 2 - 3 + 38 + 40 - 25)*(k + 3*k - 5*k).\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 4*z**4 - 2*z**4 + (-783 + 2359 - 1115)*(-2*z**3 + 2*z**3 + 3*z**4).\nAnswer: 1385*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(133\/4))\/(36\/(-126))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -317, -515, -593, -551, -389, -107, 295?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-40)\/(-3))\/5)\/((-2)\/(-3)). Suppose 0 = -p*n + 4*s + 501 - 177, -4*n = 2*s - 300. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 - 131. Solve -3*d + w = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 40. Suppose o = 2*y + 10 - 45, o - 61 = -4*y. Suppose 3*l = y + f. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44144688*l**2 + 4718280*l - 126075.\nAnswer: -3*(3836*l - 205)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 10) to base 12\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3673, -3654, -3637, -3622, -3609, -3598, -3589?\nAnswer: -3582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-45) - 89726\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.76 + 0.14. Let z = -3.15 + u. Let c = -1.5 - z. Round c to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1002 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 13*k - 4*k - 46*k**2 - 1 - 5 - 7.\nAnswer: -46*k**2 - 17*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.52 - -14.29. What is z rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y**3\/4 - 24*y**2 - 111*y\/4 + 54 = 0. What is y?\nAnswer: -9, -8\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 657610 and 2245.\nAnswer: 295266890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -3*a**2 - 4*a + 32. Let w(i) = i. What is -l(u) - 5*w(u)?\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/10)\/(-40)*(-16)\/52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(18)*-1 - (1 + sqrt(18)))*-3.\nAnswer: -72*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/315)\/(6\/14). Let j = 232\/77 + -30\/11. What is the nearest to -1 in -4\/5, j, u?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -214 + -22?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (69 - 42)) + 55\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -588*r**5\/5 + r**2\/2 + 381*r - 326. Find the first derivative of s(l) wrt l.\nAnswer: -2352*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 divided by 4?\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwhx when four letters picked without replacement from {u: 1, h: 1, w: 1, x: 1, e: 2, l: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*-0.9.\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b + 48. Let h = -12 - b. Find r such that -3*r**2 + 12*r - h*r + 6*r - 12 - 2*r = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*z - 182 - 93, -3*f = 5*z - 285. What is the smallest common multiple of 4 and z?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10685538 divided by 1?\nAnswer: -10685538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/12*b**4 + 0*b - 1\/10*b**5 + 0 + 8*b**2 + 0*b**3. What is the second derivative of y(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 - 1) + 40 + -31\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1928.54.\nAnswer: 7714.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 164, 370, 658, 1028, 1480?\n\"Answer: 41*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 9) to base 8\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 - 239*g**2\/6 - 12875*g\/6 + 171875\/6.\nAnswer: -(g - 11)*(g + 125)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(192)*-2 - sqrt(192) - sqrt(192))\/(2*sqrt(256) - sqrt(8)\/sqrt(2)*6).\nAnswer: -16*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1046 - 1046 - 60*k)*(-k**2 + 5*k**2 - 3*k**2)*(k - 3*k - 6*k) to z*k**4 + r*k**2 + x + g*k**3 + c*k and give z.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*q**2 + 2179*q**2 + 1569*q**2.\nAnswer: 3886*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 5\/2*q**2 - 41*q + 1\/2*q**4 + 5\/6*q**3 + 0 + 1\/20*q**5. Determine k(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 188820 - 3?\nAnswer: 188818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-4 + 8))\/2. Suppose j = 5*z - 15, p + 5*z = 30 + 27. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.07, -1\/3, -0.12, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 6447 = -503. Suppose -12*q + r = -11*q. List the prime factors of q.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -3\/2, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 6*d + 5*h - 104, 399*d = 398*d - 6*h + 125 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:08 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34906408939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 3:30 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1180*d + 17703. Let z be w(15). Suppose 56\/9 + 2\/3*m**2 + 16\/3*m - 2\/9*m**z = 0. Calculate m.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 6*r - 22. Let t be p(-5). Is 0.1 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*j**3*u**5 - 260*j**3*u - 8*j**2 + 56*j*u**6 - 2*u**2 wrt u.\nAnswer: 780*j**3*u**2 + 6720*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ededeeedddeedeeddd?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 261 = 123. Is (n\/(-5))\/((-6)\/(-15)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 152278 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*o**2 - 5*o**2 + 0 + (6 - 3 + 1)*(0*o + 0*o - o**2).\nAnswer: -7*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, i: 6, p: 7}. Give prob of sequence zi.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t + 17. Determine p(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25237 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -873019 at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6 - 28 + 13 + 10. Let p(k) = -3*k**2 + k + 3. Calculate -3*l(y) + p(y).\nAnswer: -3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(2 - -3))\/1. Let g = 2\/239 + -12197\/956. Let a = g - -13. What is the closest to 1\/4 in 0.2, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/2 (b) 0 (c) -1 (d) -24 (e) -0.11 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 107 (b) 4 (c) -12.691\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -227941 or -227939?\nAnswer: -227939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1999 (c) -25 (d) -1\/165 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 - 63. List 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*h - 2*n + 116 = h, -4*h + 88 = 4*n. Let w = h + -21. What is the second biggest value in -8, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611697147?\nAnswer: 23, 43, 1629623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 53 = 4*u. Let g = 1 - -2. Suppose m = 7 - g. What is the lowest common multiple of m and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - (14 + -3))\/(42\/(-28)). Which is the closest to n? (a) 5 (b) 2\/9 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**(1\/3))**(-23)*(l**(-1)*l*l*((l*l**(-1\/5)*l)\/l)\/l)**(-4) assuming l is positive.\nAnswer: l**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b*b*b**(-3)*(b\/(b**(2\/3)*b))**(-2\/13) assuming b is positive.\nAnswer: b**(121\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 23, 82, 165, 278, 427, 618, 857?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*a + 138 wrt a?\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 3*u**2 + 0 - 1\/20*u**6 + 1\/8*u**4 + 1\/70*u**7 + 1\/112*u**8 + 1\/2*u**3 - 1\/10*u**5 + 0*u. Factor k(o).\nAnswer: 3*(o - 1)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8940.16 >= 186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 11*w**2 + 8*w - 20.\nAnswer: (w - 1)*(w + 2)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*n + 5907019, -d + 1181423 = 303*n - 305*n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 14 = -3*w, 19*p = 5*w + 22*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/144 and -47\/53712144.\nAnswer: 53712144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306515079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/3 - -8)\/((-4)\/(-762)). Let o = k - -256. Sort -3, 6, 3, o in descending order.\nAnswer: 6, 3, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-28))\/(1\/2). Let c be (-161)\/(-230) - i\/(-2). What is the closest to 2 in -2, c, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*q**2\/17 + 12708*q\/17 + 173754\/17.\nAnswer: -2*(q - 591)*(11*q + 147)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1996522 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) 2\/5 (c) -60 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1491 = -2*y + 1525. Suppose 3*c - 91 = 4*h - 292, 45 = h + c. Suppose -5*v - 36 = -3*m - 0*v, 4*m = -4*v + h. Solve 3*b + 0 = -m, -3*j = 5*b + y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528962927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(2*3\/(-666)). Suppose d = 6*u - 3*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2048*x = -2043*x - 45. Let i(r) be the first derivative of 24*r**2 + 17*r + 1. Is i(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/24 - z**3\/3 - z**2. Let l = 12492 + -12495. What is o(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 533\/359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*z**2 - 486770*z - 139080.\nAnswer: 5*(z - 13908)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 8:21 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 228 or 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11536, -11544, -11528, -11476, -11376, -11216, -10984, -10668?\n\"Answer: 2*v**3 - 22*v - 11516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6756314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 43733232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrfrrfrr. Give prob of sequence rrr.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*w**2 - 2*h**4 + 149*h**3*w**2 + 2*h**2*w + 8*h*w**2 + 16*h wrt h?\nAnswer: -24*h*w**2 - 48*h + 894*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/8 - (-1970)\/80. Solve a = -4*a - i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -447*z + 1194 + 594 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246042?\nAnswer: 2, 23, 157, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-822)\/(-2055)*40\/(-2 + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - -34. Suppose 0 = 5*m + t - 1434, -m + d + 179 = 3*t. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 31 = -5*g, -2*g = -2*r - 5*g - 8. Let t be -1 + (-3 - r) + -2. Which is the nearest to -0.1? (a) -2\/7 (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**2 + 3*h + 3. Let d be t(-1). What is the common denominator of d*((-12)\/16)\/(12\/8) and -71\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -6*1)\/(-1). Is (1 - -23) + q\/1 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -63.8. Sort -0.09, -8, y in decreasing order.\nAnswer: -0.09, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 1433*w. Let l(q) = 141754*q. Calculate l(m(c)).\nAnswer: -283508*c**2 - 203133482*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -48. Let n(v) = -2*v + 2*v - 2*v + c*v. Suppose 0 = -3*q + 2*s, 2*q - 8 = 2*s + 2*s. Calculate n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/((-29)\/(-12) + -2). Suppose -4*o + 566 = 5*y, -5*o + f*y + 722 = 5*y. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54069335*d**2 - 54069343*d**2 - 54069343*d**2 + 162208027*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76\/35 + 61\/35. Which is the second biggest value? (a) 0.2 (b) 1\/10 (c) l (d) -12 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 12. Suppose 0*k - 5*k + t = -11, 16 = 4*t. Suppose 2*y - 6*h = 24, -2*y - 4*h + 8 + 6 = 0. Solve r = -k*p - y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4040184.\nAnswer: 2, 3, 71, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -0.4, 18, 0, -6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 12011606430.\nAnswer: -12011606426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/2547182 or 0?\nAnswer: 15\/2547182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 1 (c) -0.53 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 19. Suppose o*b - 16 = -4. Solve -3*x + 2*m = x - 30, -4*m - 30 = -b*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*d - 10, -2*t - 3 - 4 = -3*d. Suppose 41 = -z + 2*z - 2*s, 0 = 3*z - t*s - 123. Suppose 0 = 3*f - 7 - z. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -321075394, -321075395, -321075396, -321075397, -321075398?\n\"Answer: -w - 321075393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 413, 390, 349, 284?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(7) - (1*sqrt(84) + sqrt(84))\/sqrt(12) - sqrt(7)) - (-5*(-1 + sqrt(448)) + sqrt(448)))**2*2 + -5)*1.\nAnswer: -760*sqrt(7) + 20261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*k**4 + 284*k**3 + k + 245167.\nAnswer: 36*k**3 + 852*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 5}. What is prob of sequence vmm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1385, 3195, 5005, 6815?\nAnswer: 8625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6*s = -s - 25, -2*c - s = -5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8554769099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 - -80. Sort 5, 4, r, 1.\nAnswer: r, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 11*x + 19. Let o be b(8). Let z(a) = 2*a + 2. Let t be z(4). Let v(q) = 0 + 4*q + q - 4*q + t. What is v(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670\/(-1206)*((6\/225)\/1)\/(18\/81)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - m - 2 = 0, -2*v - m = -0*v + 4. Sort -14, -4, v, 9 in increasing order.\nAnswer: -14, -4, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/1076 + -50089\/5380. Find the common denominator of (-117)\/676*(-58)\/(-6) and r.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 12:08 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1153 and 49.2.\nAnswer: 56727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 6*k + 10)*(3 + 0*k + 5*k - 1) to the form b + m*k**2 + f*k and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -5*s**4\/12 - 5*s**3\/6 + 19*s. Suppose g(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + x - 3 = -2, 2*r = -4*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -240200 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66 - (-9 + -74)) + 47?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/6563998 or -7\/4?\nAnswer: 1\/6563998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from rmrmr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/156 - ((620500\/21840)\/17 - (-15)\/(-12)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 + 0.156.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004251335 rounded to 7 dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eea when three letters picked without replacement from eaeeaeea.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1255 and 445?\nAnswer: 111695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 17 + 49374\/54 + (-2)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 107085865*v**2. Let z(b) = -8*b**2. Determine s(z(o)).\nAnswer: 6853495360*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -16 - -2 - (-5 - -9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413374.\nAnswer: 2, 13, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -196*f*n**3 - 347*f - 2*n**3 + 21*n**2 - 11*n + 28 wrt f.\nAnswer: -196*n**3 - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 67 = q. Let o = 42\/673 + -2749961\/12114. Let i = q - o. Find the common denominator of 19\/14 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1428 divided by 6.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2 + 17682*y**3 + 31*y**4 + 3 - 17681*y**3 + 4*y**2 + 3 in the form t*y + q*y**2 + i*y**3 + p + l*y**4 and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59781, -59792, -59819, -59868, -59945, -60056, -60207?\nAnswer: -60404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*i - 303, 2*o = -o + 5*i + 299. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -374058, -374172, -374286, -374400?\n\"Answer: -114*m - 373944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 170*l**2 + 3. Let z be d(85). Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 76\nAnswer: -21\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(7\/4)\/(u**(-2)*u))\/(u**(-17))**(-50) assuming u is positive.\nAnswer: u**(-3389\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2\/3 - 2\/9*v**2 + 8\/9*v = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*j + 32, j - 20 = -4*u + 3*u. Calculate the remainder when 46 + 2 + -3 + -3 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11849, 47487, 106897, 190091, 297081?\n\"Answer: 2*w**3 + 11874*w**2 + 2*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 0*d**2 - 6 + 10 - d. Let t = -9 + 6. Let b be v(t). Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 41406873\nAnswer: 41406877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 2:32 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2, 13778 in descending order.\nAnswer: 13778, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 1. Let m(f) = -3*f + 4. Let x(z) = m(z) + 2*s(z). Let a(t) = 1. Let h(o) = -2*a(o) + x(o). Let v(g) = g - 18. Calculate v(h(n)).\nAnswer: n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igunxxr. What is prob of picking 1 i and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.83 and -10502.\nAnswer: -8716.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3 (c) -12\/11 (d) 43 (e) -1\/20 (f) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*o*y**2 + 33*o + 674*y**2 wrt o.\nAnswer: -14*y**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**3 + 15*h**2 - 50*h - 120 = 0?\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 6. Let m be c(7). Let b = m - -11. Solve 0 = a - s + 4, -2*a + 4*a + b*s = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhhhhzh. Give prob of picking 2 h.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 27 + 0*h**2 - 4*h + 30 - 51 + 4*h**3. Let z be u(2). Let b = z + -8. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1459 in 0.024, -5, -3, -2\/9, -1?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 4*v**2 - 5*v + 5. Let i be t(-5). Let s be (0 + 2)*(i - 3). Is s\/(((-2)\/13)\/(-1)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/28)\/(-1)*6\/5*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -37491.14249 and -5.\nAnswer: -37496.14249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/50474 and 37\/574.\nAnswer: 14486038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 667 - 400. What is the remainder when h is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -843*g**2*p**2 - 2*g**2*p - 82637*g**2 - 2*g*p**2 + 38416095*p**2 wrt g.\nAnswer: -1686*p**2 - 4*p - 165274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-20) - (-85)\/20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 6 + (-28 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 16, 17, -5 in ascending order.\nAnswer: -5, 6, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 12*m - 254. Calculate u(20).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1246225326950 - -0.2.\nAnswer: -1246225326949.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -59*-2882\nAnswer: 170038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 36. Let d be ((-1)\/(f\/12))\/((-2)\/5). What are the prime factors of 1*(d - (10*-1 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16680 = -3*g + 4107. List the prime factors of g.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*4\/1. Let x = 1246 + -1244. Let k be 4 - a\/(3\/(-6) + x). Solve k = -0*j + 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 y when four letters picked without replacement from yaypyyaayypayyyyyaaa?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 14156, 134, 0.\nAnswer: -2, -1, 0, 134, 14156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 9*g**2 - 44*g + 177. Give l(13).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a - 4. Let w(m) = m**3 - m**2 - 2*m - 1. Let n be w(-2). Let j(l) = -3*l - 1. Let d(i) = -1. Let o(k) = 3*d(k) - j(k). Calculate n*o(q) + 4*v(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-110)\/(-1))\/(-11))\/(-1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (297\/2640)\/((-63)\/(-210)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/3 + 10*i\/3 - 8 = 0. Calculate i.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = -r + 1, 4*r + 20 = 4*f. Let b be 0\/r*(-5 - (-32)\/6). Suppose 2 = 2*d, b*d = -5*p + 5*d + 755. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w - 1. Let c be l(4). Suppose -7*f = 73*f - 4800. Calculate the highest common factor of c and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 12955340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 224\/42 - 1\/3. Suppose -w*f = 5, 2*j + j = -2*f - 77. What is the least common multiple of 4 and (j\/(-15) + -2)*-24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -9*h**4\/4 + 4*h**3\/3 - h**2\/2 - h - 2. Let a = -398 + 396. What is the tens digit of x(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1624 + 1903?\nAnswer: 3527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6 - 4 + 15*d**3 - 6.\nAnswer: 15*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 17 = 27. What is the second biggest value in -0.4, -0.1, x, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 3*o**2 + o. Let h be t(-2). Is 1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5926\/5 at least 1186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 174, -6, 3, -4, 5 in descending order.\nAnswer: 174, 7, 5, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/3 - 4*u**3\/3 - 6*u**2 + 4*u\/3 + 16\/3 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16153929.9ns to days.\nAnswer: 0.00000018696678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16890, -12139, 760, 25881, 67298, 129085, 215316?\nAnswer: 330065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**20)\/f**(-26)*(f**(2\/3)\/f)**(-2\/7) assuming f is positive.\nAnswer: f**(149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w - 1. Let f(n) = 7*n + 4. Let s(c) = -f(c) - p(c). Let j(k) = -2*k**2. What is s(j(d))?\nAnswer: -4*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 36 = n, 0 = -4*n + 3*x + 40 + 104. Find the second derivative of 14*k**5 + 36*k**2 - 13*k - n*k**2 wrt k.\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllhlhuhllbvvhlll. What is prob of picking 2 l and 1 h?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:14 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 31. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/2 + 25465*g**3\/2 - 140017*g**2 + 509104*g - 610896 = 0. Calculate g.\nAnswer: 3, 4, 25454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12780 and 828.\nAnswer: 293940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/4 - -1)*-10 and (-1 + (-5 - -2))\/(8 + -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2\/7 - 4059*k\/7 + 11988 = 0 for k.\nAnswer: 21, 1332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:32 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1229581, 2, 4 in decreasing order.\nAnswer: 1229581, 4, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -94 (b) -1.6 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -502707, -1005364, -1507915, -2010306, -2512483, -3014392?\n\"Answer: 9*j**3 - j**2 - 502717*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 4*y**3 - 5*y**2 - 2*y.\nAnswer: -y*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -104143366.\nAnswer: -104143366.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1. Let d(z) be the second derivative of z**5\/10 - z**3\/2 - 5*z**2\/2 + 11*z. Give -d(n) + 6*f(n).\nAnswer: -2*n**3 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 2, p: 2, m: 3, a: 4}. What is prob of sequence aaaa?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 7) to base 9\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddeed. What is prob of sequence ede?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1985.56 + -0.39\nAnswer: 1985.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548182 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: Suppose 0 = -q + 2*r - 14 - 8, -2*q - 3*r - 44 = 0. Let b = -40 - q. Let l = b + 46. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 347662 and 47052.\nAnswer: 6257916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.554 - -0.216. What is n rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 764 (b) -3 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-12)\/14)\/(-1))\/(15\/70). Suppose 4*w - 6 = -3*t, 3*t - t - 4 = -3*w. Suppose 2*o + 62 = l*n, 0 = t*n + 2*n + 4*o - 56. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 194, 219, 256, 305, 366?\n\"Answer: 6*t**2 + 7*t + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = v - 23, 5*v + 2*j = -3*j + 135. What is the remainder when v is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbzbqbqdbqdbbbzb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 14*m + 544. Calculate the remainder when 1791 is divided by d(-30).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2081262\/(-256060) - 21\/(-49). Let t = 1\/1829 - r. Calculate the common denominator of -97\/20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 4. Let t be d(6). Let n be t + (-13 + 1)\/(-3). Find z such that n + 2*z**2 + 0 - 4*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(425))**2 + -5*(sqrt(425) + 1)**2 - (-2*(-1 + sqrt(425))*3)**2.\nAnswer: -17042 + 310*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 - 31*n**4 - 105*n**3 + 99*n**2 + 486*n.\nAnswer: -n*(n - 2)*(n + 3)**2*(n + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -588849 > -588865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + a - 8. Calculate u(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let v be ((-1)\/2)\/(14 - 13 - (-7 + 7)). What is the nearest to 2\/3 in u, v, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1054123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) 3 (c) 9 (d) -1.1 (e) 0.05 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/(-1377))\/(112\/(-96))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -14. What is the remainder when 58 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -15 (b) 5 (c) 3 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 2. Is s(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 748909, 749107, 749307, 749509, 749713, 749919?\n\"Answer: t**2 + 195*t + 748713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2210\/52)\/((-3)\/(-6)).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 995522 and 8954?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 35 = 4*q, -19*n + 5 = -18*n + 4*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*h - 93978*h**2 - 404*h + 2 + 430237*h**2.\nAnswer: 336259*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 6*f**2 - f + 2. Let h be v(6). Let n be 18\/h*(-12)\/18. Suppose -2*s + 2*q = -32, -n*q = -7*q - 8. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -1) + -5 + -8. Let t(x) = x**3 + 10*x**2 + 16*x + 16. Let g be t(u). Which is greater: -143 or g?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8418193393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/(102\/(-17))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837959?\nAnswer: 23, 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36540 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -32. Let l = -57\/5 + k. What is z in -l*z**2 - 3\/5*z + 3\/5*z**3 + 3\/5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 712 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 603211 = 86*h + 47*h - 1238972. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 219*d + 610*d - 205*d + 6240 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + o**2 - o. Suppose -h = g - 3, 0 = -h + 3*h - 5*g + 8. Let c(p) = -3*p**3 - 4*p**2 - 2*p + 2. Let q(j) = h*c(j) - 2*m(j). What is q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6 - (-542 + 534)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - (-984)\/(-21))\/(46\/1771).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1773109858 to the nearest integer?\nAnswer: 42108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15781383 to the power of 1\/3, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -342364*m**3*r + 23*m**2*r - 648*m*r wrt m?\nAnswer: -2054184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {m: 2, p: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 + 2\/(-11). What is the least common multiple of 2 and p + 3 - (-2 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -0.1 (c) -1\/7 (d) -43 (e) -184 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 5, -2, -1 in decreasing order.\nAnswer: 168, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131530200 rounded to the nearest one million?\nAnswer: 1132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1322802 and 360?\nAnswer: 26456040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/2 + 8*y**2 - 60*y. Let s be u(-7). What is the second smallest value in 0, -4, s, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1391310.96 - -1391143.959842. Let k = m - -167. Round k to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by 328.\nAnswer: -28\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 174, 0.3, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 + c + 2. Let n(f) = 91*f**2 - 4 - 449*f**2 - 2*f + 349*f**2. Determine -11*m(l) - 6*n(l).\nAnswer: -l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032041 rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28840, -115385, -259624, -461557?\n\"Answer: -28847*p**2 - 4*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 23. Suppose -5 = -5*w, -w - f = -3*h + 22. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*((-837)\/(-144) - 6 - 553\/336).\nAnswer: -88\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - t = -0*t - 42, 2*n = 4*t + 8. Suppose 4*j - 4*o + 8 = -0*j, -2*o + n = 0. Solve -i + 1 = -j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - 624. Let d = t + 645.0091. Round d to 4 dps.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 8*q - 6. Let x be f(9). Solve -x*m + 8*m - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1470221409 and 626.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890291496.\nAnswer: 2, 47, 281, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -1\/6 (c) 3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.045 in 0.2, 0, 191, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12659, -12606, -12525, -12416, -12279?\nAnswer: -12114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24739066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let g(i) = -27*i + 12. Let s(t) be the second derivative of -11*t**3\/6 + 5*t**2\/2 + t. Let h(n) = 5*g(n) - 12*s(n). Determine h(w(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*z + 93*z - 16*z - 13*z = 45235 for z.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392893965.\nAnswer: 3, 5, 8730977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*s - 3*s**3 + s**3 - s**3 in the form r + g*s**3 + i*s + o*s**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000117673 rounded to 6 decimal places?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 20020?\nAnswer: -20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*w + 6. Suppose 5*i - 14 = -4. Suppose x + 64 = i*x - w*b, 4*x - 2*b - 310 = 0. Calculate the remainder when x is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5041532, -5041535, -5041540, -5041547, -5041556, -5041567?\n\"Answer: -v**2 - 5041531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 6:57 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 + 35 = 2*y - 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -23*y**2 - 168*y - 10. Calculate the remainder when 360 is divided by v(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5406396.\nAnswer: 2, 3, 450533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26181369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10383391 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-371)\/(562436\/(-1137)) + 1\/((-4)\/5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 5)*(56 + 34*m - 56) + m - m + 2*m.\nAnswer: 104*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.96 - -2.2. Let w = 0.01490544 - -0.22509426. Let n = j - w. What is n rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**4\/12 - 13*h**2\/2 + 2*h. Let g(k) = k**2 + 2*k - 2. Let c be g(-4). Does 19 divide q(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 573\/630 + 16\/(-40) and -47\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 115*b - 1045. Let u be d(-10). Let l = -0.04 + -0.03. What is the closest to l in 0.1, -2\/9, -2\/5, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (13 - 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 - 90*m**4 + 640*m**3 - 2240*m**2 + 3840*m - 2560.\nAnswer: 5*(m - 4)**4*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1584 divide 1309968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301 + 432. Let k = 714 - h. Which is bigger: -20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (25 + 43) - -66\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1248 + -1240.064. What is i rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o + 2*o)*(-4*o**3 + 10*o**3 + 2*o**3) + 2*o**4 - 10*o**2 - 4*o**4 + 2*o + 11*o**2.\nAnswer: -50*o**4 + o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -20 + (-10 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let q = 167 - 176. Is -194*(q\/6 + k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188 - 8100*d + 99 + 89 to q + m*d and give m.\nAnswer: -8100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -443 - -443. Let m(p) be the third derivative of 0 - 7\/6*p**3 - 3*p**2 + 0*p**5 - 1\/60*p**6 + 0*p**4 + g*p. What is the first derivative of m(l) wrt l?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 100122112000?\nAnswer: 100122112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 585\/8 at least 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1116483*h. Let b(m) = -4*m**2. What is w(b(t))?\nAnswer: 4465932*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*x - 2)*(16 - 37 + 20)*(3 - 3 - 1) to the form j + y*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -2*i + 23, -3*i + 11 = z - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 + -0.06. What is the smallest value in 4, n, 0.05?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -7, 3 in descending order.\nAnswer: 3, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 18*f. Let k(c) = -9*c**2 + 3*c**2 + 3*c**2. Calculate k(m(t)).\nAnswer: -972*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 + 3200*v**2 - 32111*v - 35310 = 0. Calculate v.\nAnswer: -3210, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -9*(-33)\/(-72).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 122 divided by 1\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qriq when four letters picked without replacement from imrqimiririrqiriir?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.025? (a) 0.9 (b) 0.2 (c) -35542\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5237 (b) 2\/9 (c) -1\/7 (d) 1 (e) -2\/7 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, -3*v + 2 + 7 = -2*r. Suppose z = -v*f - 0*f + 4, -f + 2*z = -6. What is the second derivative of 4*y**3 - 3*y**3 + 3*y - f*y wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - -14145?\nAnswer: 14110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13925208 rounded to three decimal places?\nAnswer: 1.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 14. Let i(u) = u**2 - 7*u + 22. Let a be i(x). Suppose 19 = r + 2*s, 5*s - a = r - 6. Calculate the highest common factor of 63 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-512)\/(-532) - (-60)\/(-70).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-136)\/6 + 6\/9. Let r(y) = -y**2 - 4*y - 2. Let c be r(-2). Let x = c - p. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6318 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 11) to base 4.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 18. Let j = 6 + 0. Let t(i) = -i**3 - 9*i**2 - 5*i + 11. Let b be t(-8). Let g(o) = -2*o + 37. Let n(l) = b*y(l) + j*g(l). Determine n(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*v - 12*v + 11*v)*(4 - v - 4) in the form j + p*v + k*v**2 and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 z, and 1 e when three letters picked without replacement from kzekeukkkkkkek?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q + 9*q - 87*q + 26*q.\nAnswer: -70*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2692901?\nAnswer: 227, 11863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20132 (base 5) to base 6\nAnswer: 5552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26516*n + 79270*n - 26238*n - 26508*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/15 + 22*d**4 + 2*d**3\/15 - 22*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 1 - 10*t**3 - 13*t**2 - 2 + 9*t**3 in the form l*t**2 + z*t + w*t**3 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l - 629. Give d(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-231)\/49 - -5)*-7. Which is the nearest to l? (a) -1 (b) 28 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {t: 1, a: 1, s: 2, j: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*c + 9*c, -4*k + 4*c + 28 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65782 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 33. Let k = -21 - n. Let l(q) = q**2 - 11*q + 14. Let h be l(k). Solve p + h*w + 21 - 2 = 0, 3*p + 2*w = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38255)\/364 - 4\/26. Let w = 106 + q. Is 0.9 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/15 - 2148*c**3\/5 + 5190642*c**2\/5 - 552*c - 1. Suppose u(i) = 0. What is i?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 27*r - 4. Let v(f) = -2*f**2. Determine v(t(k)).\nAnswer: -1458*k**2 + 432*k - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - u - 4*u = -134, -70 = -2*q - 4*u. Sort q, 0.3, -2 in increasing order.\nAnswer: -2, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173899 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*k - 12 = 0, 4*g + 5*k = 7*g - 3. Solve -n - q = 1, n - q = g - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 2\/7 (c) 0.5 (d) -6\/787\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**6\/160 - 29*n**5\/160 + 11*n**4\/8 + 51*n**3\/16 + 557*n**2. Suppose q(w) = 0. What is w?\nAnswer: -17, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 4*w - 234. Let r be u(0). Calculate the remainder when 12 - r - (1 + -4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -278437 - -4?\nAnswer: -278433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 18*u**2 - 30*u + 20. Let q be m(14). Calculate the highest common divisor of 64 and q.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6032466 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 49?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78230 + 110503. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 8*h = -25*h. Solve 5*v - 3*m + 14 = h, 8*v - 6*v + 8*m = 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 5*w**2 + 6*w**2)*(-5*w**2 - 3 + 3 + (-3 + 1 + 0)*(0 + w**2 + 0)).\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reasa. Give prob of picking 1 s and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 261115793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 13. Let h(q) = 4*q + 17. Let y(k) = -5*h(k) + 6*x(k). What is y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -16.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(539)*1 + sqrt(539) - -2*(-3*sqrt(539))**2.\nAnswer: 14*sqrt(11) + 9702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56 - 3*o - 4*o**3 - 8*o - 9*o + 123*o**2 - 51*o**2 - 40*o**2.\nAnswer: -4*(o - 7)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -74. Let j = k + 42.0000108. Round j to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 47*j**2 - 2*j**2)*(-23 - 6*j + 23) in the form x + l*j**2 + n*j**3 + s*j and give n.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 2, t: 1, r: 1, p: 1, k: 2}. Give prob of picking 1 t, 1 y, and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -14205, -1, 0, 3 in descending order.\nAnswer: 3, 0, -1, -4, -5, -14205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z**2 - 1. Let a be y(-1). Let k be a*(-2)\/6*2. Let p(f) = f**2 - f + 3. What are the prime factors of p(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 1524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-21)\/(-126))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3 - 2*r**2 - r**2 - 4*r**3 + 4*r**3 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 1294 - 2*m**2 + 0*m**2.\nAnswer: -2*m**2 - 1294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 46.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12268 + 5?\nAnswer: 12274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7174 + 7181. Solve 31 = -w*r + 38 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 6*q. Let c be f(-6). Suppose 4*o - 50 = -o - 5*x, 3*x = c. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 474 (c) -0.3 (d) -4 (e) -0.1 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -513*n - 382 with respect to n.\nAnswer: -513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -7*f + 4*j + 63, 24 = -2*f - 4*j - 74 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 7:06 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 10*y + 2*i + 3126, 0 = 2*y - 5*i - 1559. Calculate the highest common factor of 68 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 5:06 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**3\/3 + 3*v**2 + 2*v - 4. Calculate c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3 - -9) + 4 + -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.763545ng to kilograms.\nAnswer: 0.000000000003763545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/6*((-3906)\/14)\/31?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 6:34 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19707 (base 15) to base 6\nAnswer: 1434154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21990836 and 43981672?\nAnswer: 43981672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -33, 2, 5, -12?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n**2 + 0 + 0 + 29*n**3 + n**4 + 11*n**2 - n**2 in the form v*n + a*n**4 + i*n**2 + f + o*n**3 and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 756, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-966 - 136*f + 966)*(6*f**3 + 4 - 4).\nAnswer: -816*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6205399 and 4271906?\nAnswer: 10123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351436416.\nAnswer: 2, 3, 915199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4822 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 5:09 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from mcnmmmcmzmmfnfmmcmzz.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*o**5 + o + 77 wrt o?\nAnswer: 1840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -2 (b) 13 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676*u**5\/3 + 29536*u**4\/3 + 6644*u**3 - 8240*u**2\/3 + 688*u\/3 = 0. What is u?\nAnswer: -43, -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-2)\/5*10\/16. Is (0 - 0) + o - (0 + -1261) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2536 = -4*o, -5*k + 5581 + 769 = -5*o. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:43 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 953876182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*i + 5*i. Solve 5*l = -2*r - 15, -4*l + i*l = -5*r - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + (1*sqrt(9))\/sqrt(3)))**2.\nAnswer: 250*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154 + 1359 - 24 - 298*c**4 + 293*c**4 - 1287*c**4 with respect to c.\nAnswer: -5168*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -208, -185, -142, -73?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9899)\/(-39748) + (-1)\/4. Let o = l + -2069\/24058. Which is the third smallest value? (a) -5 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. What is the second smallest value in 0.5, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33 + -1)\/(70\/40) - 18)*(-21)\/(-507).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(1210) + (sqrt(1210)*-1 - sqrt(1210))))**2.\nAnswer: 17\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210022 (base 5) to base 2.\nAnswer: -101011111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449067 + 224530 + 224536 - 547*c)*(-4*c - 3*c + 5*c + (0*c - c + 0*c)*(3 + 1 - 3) - 2*c + 0 + 0 + 4*c + 2*c - 4*c) + (-c**2 + 0 + 0)*(-4 + 1 + 1).\nAnswer: 1643*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/112 and -163\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -15*g + 508. Give w(35).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 3. Let o be u(6). Suppose 0 = -p + 4*t + 60, o*p + 0*p - t - 191 = 0. Calculate the greatest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/35*10\/(-4). Let w = 16.4 + -1.4. Let t = -10 + w. Put t, s, -4\/5 in decreasing order.\nAnswer: t, -4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3175 divide 258458800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -235\/8192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*i = -z + 2, 5*i + 14 = 3*z. Suppose x = -2*x - 3*p + 3, 4*p = 4*x - 12. Put 4, z, x in decreasing order.\nAnswer: 4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -0.08, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1 + 3*h - 2 - 10*h - 4 - h**2. Let p be x(-6). Find the common denominator of 25\/12 and p*3*166\/48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/29 + 113*5. Suppose -19*z + i = -12*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 3 (b) -40 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjsj when four letters picked without replacement from {s: 15, j: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0585? (a) 7 (b) 3 (c) -6 (d) 5 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*u + 2, 0 = 3*u - v + 5 + 3. Sort -4, -3, u in decreasing order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3525942 and 86.\nAnswer: 151615506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152834*v**2 - 75722*v**2 - 77106*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/306)\/(((-608)\/48)\/38) - 2\/17.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-seven halves of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f. Let k(h) be the third derivative of 0*h + 0*h**3 - 1\/30*h**5 + 0*h**4 - 10*h**2 + 0. Determine o(k(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 330*w**3 + 4032*w**2.\nAnswer: 3*w**2*(w + 14)*(w + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 1 + 1)*(3 + 3*h + 0*h - 1) - 2*h + 0*h + h + (2*h + 0*h - 3*h)*(6 - 4 - 4) to the form u + b*h and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 5*i - 1. Let k = -3 + 4. Let n be -7 + 2 - (-4 + k). What is the remainder when q(n) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 129 (b) 14\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (110 + 504*z + 8058*z - 71 - 39)*(-1 + 1 + 2*z) in the form q*z**2 + l*z + f and give q.\nAnswer: 17124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10*-5*(-6)\/32 and 6\/4*53\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 10\/(-15)*-3. Suppose b*p - 7 = 3*p. Let t(r) be the third derivative of r**5\/60 - r**4\/3 + 7*r**3\/6 + 11*r**2. What is t(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in -0.5, -4, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3415864 divided by 63.\nAnswer: -3415864\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/21776 and -113\/672?\nAnswer: 914592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145629 times -0.3?\nAnswer: -43688.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120b - -535?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -925464 by 6.\nAnswer: -154244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, 7481, 4 in descending order.\nAnswer: 7481, 85, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -725.34.\nAnswer: -725.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44366 to two dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74341.\nAnswer: 17, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -139, -133, -127, -121?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0274 times 0.06\nAnswer: -0.001644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285215279?\nAnswer: 8819, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from {z: 7, l: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 73*f + 84. Determine p(36).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435744145*m**4 + 250307930*m wrt m?\nAnswer: -5228929740*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 121 and -40636?\nAnswer: 40757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6\/5)\/g*g*(g*g**(-1\/2)*g)\/g*g)\/((g*g**(-2\/9)*g)\/(g**(-2)*g*g)) assuming g is positive.\nAnswer: g**(-133\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 20 = -2*h. Suppose 2*d - 2 = -5*i + 17, h*i - 21 = -3*d. Suppose 1342 = 4*q + c - 1175, -3*q - i*c = -1890. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -23 + (-3 - ((-36 - 3) + 4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 - 2961 = -3*h + 3*o, -h + 5*o + 819 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 8. Let n be o(-14). Suppose n*u - 8*u = -126. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 1, -3*v = 5*s - 102 + 79 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12951.\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 - 2*t**2 - 15*t - 35. Let r(m) = 11*m**3 - 5*m**2 - 32*m - 106. Give 8*g(d) - 3*r(d).\nAnswer: -d**3 - d**2 - 24*d + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + 6.83. Suppose -5*l = 4*v + 156 - 183, 0 = v + l - 6. Which is the third biggest value? (a) m (b) 1\/6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 c, 1 x, and 1 r when four letters picked without replacement from {x: 1, c: 1, s: 1, r: 5, v: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.7 + -5. Let k = -1.1 + 1.1. Let p = k - f. Which is the second smallest value? (a) -4\/3 (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-66))\/(14\/1365). Is 12 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = 0. Suppose r = 2*f - 5*f. Solve -5*v + 4*g = -f*g, g + 15 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:29 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(2*sqrt(8)) - (-1*sqrt(3) + 0).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -94*(-4)\/8*21. Suppose -3*r + 79 = c - 170, 3*r = -4*c + u. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*y - 585 = 0, 5*y - y + 20 = 0. Let c = 29\/265 + 30287\/265. Let u = c - o. What is the closest to -2\/7 in u, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 44 = -91. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623 (base 11) to base 8.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 3, 4, 1\/46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18*t**3 + 5*t**2 - 5*t + 2. Let v be o(2). Let l be 2\/((-4 + v\/(-32))*4). Solve l*j - 10 = 2*s, -j + 1 - 6 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1\/2)*2. Let r = 7.2 - 5.2. Let j = -155 - -156. What is the closest to j in 5, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:03 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = 4. Let w be k\/(-6) - 19399999\/(-2). Round w to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 + (-3 + 6 - 9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 3 - 12 + 18 + 15. Let l(z) = 2*z**2. Give l(q(y)).\nAnswer: 2*y**2 + 96*y + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j = 4*d + 10, 2*j + 8 = -2*d. Let q(s) = -16*s - 35. Let v be q(j). Sort 3\/10, -1\/9, v, 2 in increasing order.\nAnswer: v, -1\/9, 3\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -23*g - 12. Let l(w) = -3. Let k(u) = 4*l(u) + q(u). Let m be k(-3). Calculate the greatest common factor of m and 630.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6158 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 183740 and -0.1.\nAnswer: -18374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 107*y**3 + 15*y**2 + 26*y + 16. Let a(p) = 67*p**3 + 10*p**2 + 17*p + 10. Let o(i) = -8*a(i) + 5*c(i). Calculate o(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.6 + 59. Let p be 2868\/(-288) - 3\/(-2). Let a = -25\/3 - p. What is the closest to a in n, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 38536.46 nanometers?\nAnswer: 0.03853646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 868172969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (96\/(-30))\/(1\/(-5)). Let j = -100 + g. Let p = j - -150. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 5*a - 2. Let n be o(6). Suppose -q = -5*x + 27, -5 = -n*x - 4*q + 7. Solve x*w - 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/8)\/(9*16\/(-192)))\/((-33)\/198)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-5)\/60 + (-1)\/(-3)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 63. Suppose -4*x = -x - w. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48070891\/4131775 - -6\/142475. Let a = 27\/58 + r. Calculate the common denominator of a and -13\/17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242811 or 181?\nAnswer: -242811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 46*a**2 + 11*a - 1. Let k(g) be the second derivative of -2*g + 0*g**2 + 3\/4*g**4 + 67 + 1\/3*g**3. What is -2*b(u) + 11*k(u)?\nAnswer: 7*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416615.2ml to litres.\nAnswer: 416.6152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - ((3 - -10) + -136).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/2278 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:27 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 40 + 94 + 553*v.\nAnswer: 553*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 g when four letters picked without replacement from {g: 3, d: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**5 - 16*d**4 - 16*d**3 + 136*d**2 - 180*d + 72 = 0.\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*b - 2, 2*d - 60 = -4*b. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-5\/6)*o))\/o)**(-41)\/((o*o*o**(-4\/13))\/(o*o**13)) assuming o is positive.\nAnswer: o**(-1705\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1953*h**2 + 11*h - 3. Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.038 * -60.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 23. Sort x, -5, -1, 3 in descending order.\nAnswer: 3, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4219 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - -2. Let q = t + -11. Solve -5*c - 2*a - 3*a = 0, q*a + 30 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.078 - 4.022. Let i = b - -4. Let x = 0.3 - i. What is the biggest value in -2\/9, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70524 (base 8) to base 7\nAnswer: -150404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvmvvvvvmmvvvvmm.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -184 divided by -2\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3740, 7385, 11028, 14669, 18308?\nAnswer: 21945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 4*y**2 - 8*y - 4. Suppose l = 0, 0 = 4*v + v + 4*l - 30. Let c be d(v). Solve -6*p = -p - c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 8220.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1224\/6853 + -2\/623. Which is the second biggest value? (a) -4\/7 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) - (5 + sqrt(125))).\nAnswer: -4*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10638 = -150*x + 12. Solve 0 = -5*o + 2*g - 35, -g + x = 66 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 31341.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 12*c + 28 = -14, 9*c - 80 = -5*j + 4*c for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1732\/2502213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16563 + -16561. Let a(d) be the second derivative of 11\/6*d**3 + 5\/12*d**4 + 14*d + 0 + d**t. Let a(s) = 0. What is s?\nAnswer: -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -4028427, 9?\nAnswer: -4028427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*n*u + 12*k**3*u**3 + 5*k**3 - k**2*n*u**3 + 5*k**2*n + 12*k*n*u**3 wrt k?\nAnswer: -12*n*u + 72*u**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-14))\/((-16)\/56) + 42. Let r = 13\/5 - 274\/15. Find the common denominator of -2 - ((-2)\/(-5) + (-1036)\/b) and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from {n: 9, q: 3, i: 3, c: 2, b: 1, p: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 690799.89394 - 690793. Let k = 20.9 - 14. Let n = c - k. Round n to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p - 75. Let b be q(-9). Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/7)\/v**(11\/4) assuming v is positive.\nAnswer: v**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111232 (base 8) to base 14.\nAnswer: -d96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-12)\/10960)*2\/(-295). Let t = -2788966\/150155 + p. Let m = t - -129549\/104345. What is the common denominator of 27\/8 and m?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 11095 + 5015. Suppose -s = -4*x - i, -7*x + 1208 = -4*x + i. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 8*b**2 - 5*b - 2. Let u be p(7). Suppose 2 = 2*x + 3*x - o, 0 = 2*x + o + 2. Let l = x + u. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let j(k) = 18*k**2 - 7*k**2 + 266*k - 264*k. Determine g(j(c)).\nAnswer: -242*c**4 - 88*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -127347657 * 0.2.\nAnswer: -25469531.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 442261 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -227792127\nAnswer: 227792125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -3. Let t(x) = x + 4. Let p be t(w). What are the prime factors of p + 2 + -1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 14364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188 and 5680.\nAnswer: 266960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*s - 10. Let o be (4\/s - 1)\/(-3). Suppose -2 = -j - 0*j. What is the second biggest value in -8, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 - (-22 - -44 - 24) - -33.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 3*u + 2*u)*(4 + 0 - 1 + 0 - 2 + 4 + 5 + 1 - 4 + (3 + 1 - 2)*(1 - 1 - 2))*(9727 - 44*u - 9727) as p*u + y*u**2 + z and give y.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0a18 (base 11) to base 2.\nAnswer: 1001011010111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 727 = -4*r - r, -3*w + 3*r = -729. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 - 4*a + 1. Let d(x) = 4*x**3 + 2*x**2 + x. Let t be d(-1). Let k be u(t). Let q = 2.2 - 0.2. Sort k, q, -0.3 in descending order.\nAnswer: k, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - 10 - (-2)\/4 - -2. Let s(j) = -j**2 + 6*j + 8. Let p be s(7). Which is the nearest to p? (a) -3 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 10. Let g be f(10). Let i be (-38)\/20 + 16\/g. Which is the second biggest value? (a) 5 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**4\/24 - 7*l**3\/6 - 14*l**2 + 1. Let c(v) = v - 6 - v - v. Let q be -2*((-5)\/(-2))\/(-1). Determine q*i(b) - 6*c(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2182.083 rounded to the nearest integer?\nAnswer: -2182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -784 - 62?\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10074)\/1095)\/(2\/(-3740))?\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/(-8)*8\/(-6). Let f(a) = -a - 6. What is the units digit of f(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*s + 48 = 0, 1143359*y - 3*s - 48 = 1143361*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 25 = 2*m - 0*q, -4*q = -5*m + 56. Calculate the lowest common multiple of m*(2\/4)\/1 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0049 > -13.87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s + 4. Suppose 2*p + 5*g = -19, -5*p - s*g - 10 - 6 = 0. Let o = -1\/9 - -23\/45. Which is the second smallest value? (a) o (b) p (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) + (-462)\/(-105) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23\/150 - -1\/150. What is the biggest value in -0.4, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k - 5. Let l(a) = -a**3 - 6*a**2 + 6*a - 2. Let f be l(-7). Suppose -2 = -f*h + 8. Let w(y) = -4*y**2 + 9*y + 21. Calculate h*w(i) + 9*j(i).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 0.05\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 231, 0, 3 in decreasing order.\nAnswer: 231, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*g + 21, 2*o - 5*g = -3*o + 50. Suppose o + 26 = -q. Is (4\/(-5))\/(2\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*t - 276, 2*t = -0*l - l + 80. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1476 - 0.0476. Sort j, 7, 4, -1\/5.\nAnswer: -1\/5, j, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.35 - -1285.45. Round z to the nearest 10.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 243\/(-7) + (-74)\/259\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 148.246 centimeters?\nAnswer: 1482460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 16, -0.3, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -3. Let l be (12\/(-7))\/(-2)*m. Let i(c) = 8*c**2 + 6*c. Let d(s) = 7*s**2 + 5*s. Let u(p) = l*d(p) + 5*i(p). Let v(j) = -3*j**2. What is u(v(r))?\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2433 + -22001133?\nAnswer: -21443200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1*(-2)\/(-7)*2. Let c = 15.3 + 1.7. Let j = c + -17.4. What is the biggest value in j, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0189 - 4.0189. Which is the second smallest value? (a) -5 (b) -3 (c) -3\/7 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4\/40*-46?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118704 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 8}. What is prob of picking 2 o?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1723 - 1a?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i - 34*i - 42 = 0. Suppose t + 18*r - i*r + 14 = 0, 2*r = 2*t - 12. Solve 6 = t*f, 0 = -4*k + 2*k + f + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011111011011100001011 + -1?\nAnswer: 1000011111011011100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, 3, 41, 115, 237, 419?\n\"Answer: 2*j**3 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3)*((-8)\/14 - 58960\/(-104160))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/6)*p)**(-2\/3)\/(p**(2\/39))**(-9) assuming p is positive.\nAnswer: p**(-115\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*d - 1 = 0, x = d - 4 + 3. Let k(u) = 4*u - 1 - 5*u - 1. Let j be k(x). Solve j = -2*s - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1)*(-11 + 12). Suppose 6*b + 0 - 18 = x. Solve 4*g = -6*j + j + b, -2*g + 6 = -2*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -345526, -345333, -345012, -344563, -343986?\n\"Answer: 64*u**2 + u - 345591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111110022 - -100003?\nAnswer: -111010013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3) - (2 - -12). Let r = -13 - o. Suppose r = 6*u - 4*u - 670. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3\/5 + 12213*d**2\/5 + 73226*d\/5 - 195312\/5 = 0?\nAnswer: -12207, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02 + 612.\nAnswer: 610.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17127009.\nAnswer: 3, 67, 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from llllllllllcllllllcl?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + 6*z + 5. Let k be j(-1). What is the units digit of 9\/(9\/k) + (-934)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6 - 33\/(-9). Solve 5*g - 28 = -2*k, x*g + 7 = 5*k - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 1331*n - 1335*n + 64 = 0, 3*s - n = -28 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -7. Suppose 3*q - f = -q. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + 3*i + 2. Let u be g(3). Suppose p + 7 = -4*k, -3*p + 14 = -0*k + 5*k. Calculate the greatest common divisor of u and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -26615 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -59*x + 382. Give r(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49203587 - -11.053.\nAnswer: -49203575.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*y = -323836, -2*p - 4*y - 57032 + 704690 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i + 4. Let g be d(-4). Let o = 58 + g. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34450 and 132350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4\/9, -2\/45, -94, -3, 5\/4?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 99.2437795 to 3 dps.\nAnswer: 99.244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -814390 to the nearest ten thousand.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 + 6*m + 11. Suppose 0 = -5*g + w + 34, 2*g + 0*w = 2*w + 12. Let b be o(g). Solve -2 - 5 = 5*n - 3*c, 3*n + 10 = -b*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6578 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5 - 2 + 8 + a. Let b be p(-8). Suppose 0 = b*k - k - 52. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 473, -1, 2542 in descending order.\nAnswer: 2542, 473, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5613 to 2 dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from {c: 5, n: 6, o: 3, e: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1261\/108 + 427\/36. Let w(g) be the second derivative of 0*g**2 - 1\/90*g**5 - 6*g - 2\/27*g**4 + z*g**3 + 0. Solve w(x) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -7 - 17 - -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 31573585 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2015*f**4 + 2393*f - 33100*f**3 + 33100*f**3 wrt f.\nAnswer: 24180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 8:51 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s = 16*s + 4*r + 5, r + 20 = 34*s - 38*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1252, 5010, 11274, 20044?\nAnswer: 31320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 405.1089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*b - 98*b - 27 = 5*v, -2*v - 4*b - 18 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - ((1*sqrt(432) - sqrt(27)) + sqrt(27) + sqrt(27) + sqrt(27)) - sqrt(27))*-6)\/(2*((sqrt(108)*-2)\/sqrt(12) + sqrt(9))).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287*s*t**4 + 168*s*t**3 - 450810*s*t**2 - 22*t**4 - 9*t**2 wrt t?\nAnswer: -6888*s*t + 1008*s - 528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2\/5 - 12328*a\/5 - 12326\/5 = 0?\nAnswer: -6163, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3420 and 2205.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**6 - s**5 + s**4 + s**3. Let f(r) = 167*r**6 - r**5 + r**4 - r**3 - 8*r**2 - r. Let h(l) = f(l) - x(l). Find the third derivative of h(u) wrt u.\nAnswer: 19680*u**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -19*s - 394. What is b(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/32)\/((-21)\/(-14)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 6*c**2 + 3*c - 6. Let s = 1566 + -1571. Determine b(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143370\/16225*(21\/(-14) + -1) + 23?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232244691?\nAnswer: 18457, 66763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*c**4 + 0*c**2 + 0 + 0*c**3 + 0*c = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238020 by 387.\nAnswer: -79340\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9194.\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 187.61859 months?\nAnswer: 1.56348825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u - 5. Let f(y) = 2123296*y + 46*y**2 - 2123296*y. Give t(f(s)).\nAnswer: -276*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 245*f**2 + 3058*f + 9171. Calculate r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1300, 2604, 3910, 5218, 6528, 7840, 9154?\n\"Answer: b**2 + 1301*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6\/13)*d**3)\/((d\/d**(1\/4))\/d**4))**(1\/72) assuming d is positive.\nAnswer: d**(301\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 22.1. Let m = -2.2 + x. Which is the closest to -1\/2? (a) -2 (b) m (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + 3*r**2 + r + 13. Let t(x) = -x**3 - x**2 - 3. Let h(u) = -2*a(u) - 9*t(u). What is h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.972 - -2.072. Which is the closest to q? (a) 0.2 (b) 4 (c) 38 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/6 - 2*m + 409. Determine y so that c(y) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46538.452 + -46657. Let r = f - -119. Round r to two dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205599*b**2 - 205599*b**2 - 16*b**3.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14762620.5 to the nearest ten thousand.\nAnswer: 14760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/27 + 44\/36. Suppose -5*b + 5 = 5*f, f = -5*b + 4 + q. Suppose 0*j - 5*j = f. Solve j*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h**3 - 2746*h**2 - 290*h + 4295. Give d(-305).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s + 2*s, -2*s - 26 = -z. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a tonne?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3.96, 58\/9, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924173.\nAnswer: 924173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8173 + 5*t**3 - 7*t**2 + t - 4096 - 4088 + 0*t in the form s*t**2 + x*t + v*t**3 + o and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 - 2*s + 2*s + (638*s + 563*s - 1125*s)*(-s + s + 3*s**2).\nAnswer: 223*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7400 + -7771. Which is smaller: b or -374?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*f + 14, 2*o - 4*f - 17 = 1. Let n = 530 - 530. Which is the third biggest value? (a) o (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/50 - 37*o**4\/3 - 11284*o**3\/5 + 69192*o**2\/5 + o - 137. Find p such that w(p) = 0.\nAnswer: -186, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/211 and 9\/827029?\nAnswer: 174503119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.1 - -19.1. Which is the fourth smallest value? (a) 0.13 (b) g (c) -0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19877390833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/51*(-5)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrpmmrpmrmmmmr. What is prob of sequence mm?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101222*p**3 - 76008 with respect to p.\nAnswer: 303666*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i + (2 + 2 - 2)*(-i + i + i) - 2*i + 1 + 1 - 4*i)*(-i + 2*i - 2*i).\nAnswer: 3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17926908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-2)*23265\/(-24). Let v = 4364 + r. What is the common denominator of v and -49\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 13*y - 11. Let l be m(-12). Let q(k) be the third derivative of 0*k - 1\/20*k**6 + 0*k**5 + 0*k**4 + 0 + 0*k**3 + 2*k**2. Calculate q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.8, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -10 - (58 + -2 + -45).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 932902*x - 933190*x + 11902 + 11138 for x.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*t - 6 = 0, 0*z - 5*t = z - 3. Differentiate f**z - 6*f**3 + f**3 + 6*f**3 + 3 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k*k\/(k\/(k*k\/(k*(k\/k**(-1\/2))\/k)*k)))*k*k))**47\/(k**0*k)**(-2\/61))**(-33\/5) assuming k is positive.\nAnswer: k**(94479\/610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 2773032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 8*x + 3. Let f(h) = 2*h**2 + 2*h. Give z(f(j)).\nAnswer: 16*j**2 + 16*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6147043.\nAnswer: 7, 29, 107, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3373087.\nAnswer: 1009, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**21\/(j\/((j\/j**(1\/8))\/j)) assuming j is positive.\nAnswer: j**(159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzkkrpzdpur. What is prob of picking 1 d and 2 r?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1263 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 267226\/22689 - (2\/18 - 2\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -0.08. Let r = x + -0.45. Suppose -8 = -k + 5*t, 1 = -2*k - 4*t + 3. What is the closest to 2 in r, k, -0.05?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 + 9*d**5 - 2196*d**4 + 3294*d**2 - 14*d wrt d.\nAnswer: 240*d**3 + 540*d**2 - 52704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9958919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-44)\/18 - (-34)\/45?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*g + 19, -5 = 3*r - g + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -66125, -4, 26 in ascending order.\nAnswer: -66125, -4, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 47937.73 hours?\nAnswer: 172575828000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -626521, -1253040, -1879559, -2506078, -3132597?\n\"Answer: -626519*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -612909 divided by 33\nAnswer: -18573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 120*z - 586. Let h be q(5). Let j(o) = -o**2 + 16*o - 28. What is j(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1*(3 + 2). Suppose 2*k - 531 = -v*f, 4*k = -5*f + 425 + 102. Let r = f - 63. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**3\/6 + 15*d**2\/2 + d. Suppose 0 = 36*p - 45*p - 54. List the prime factors of l(p).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 5*o. Let b be 1 - (6\/(-9))\/(((-34)\/(-6))\/17). Give p(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 + -4070?\nAnswer: -4125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83444 is divided by 624?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:43 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-30)\/9)\/5. Let y be h\/(-3) + 220\/15. Let i = -56 - -63. What is the greatest common divisor of y and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19999021?\nAnswer: 7, 17, 41, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 76*l**3 - 344*l**2 - 468*l - 198 = 0. What is l?\nAnswer: -33, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Let l be (2\/(-4))\/((-2)\/8). Let g = 0.8407 - -2.1593. Which is the nearest to l? (a) g (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eepqqepp. Give prob of sequence epqe.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/78 and -131\/198.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 74227*h - 2. Let a(s) = -s. What is a(j(f))?\nAnswer: -74227*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsfxhhhuifhxxxi. What is prob of sequence hi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 10:08 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (760\/(-60) + 1)*(-18)\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from xxwx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114824 and 1984.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5653 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by 177.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l - 6 + 6 to b + k*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 1 + 2)*(3*b + 0*b - b) in the form y*b + j and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1237129.9 rounded to the nearest one thousand?\nAnswer: -1237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 8 = 0. Let i(r) = 2*r**2 + 4*r. Let u(n) = -3*n + 2*n + 3*n + n + 2*n**2. What is o*i(d) - 5*u(d)?\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Let f(r) = r**2 + 7*r - 6. Let i be f(-6). Let o be 2\/i*3*(4 - -2). Sort b, o, 4 in decreasing order.\nAnswer: 4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 27, 42, 57?\n\"Answer: 15*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3150006 to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/7? (a) 0.248 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186315011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 - 198*v**2 + 99*v**2 + 99*v**2.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 7*r**2 + 8*r + 2. Let x be y(-8). Let q be 3*((-2)\/(-1))\/x. Solve -d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -26, -1 in ascending order.\nAnswer: -26, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 10*p**2 - 7*p - 13. Let f be r(9). Suppose f*w = 9*w + 12. Let d be w + 39 + 5 + -2. Calculate the highest common divisor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 5*u**2 + 10*u + 42. Determine g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 725198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742 a factor of 39499742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 + 5*l**2 - l - 8. Let i be q(-4). Suppose 89*a - i = 80*a. Solve -48*o + a*o = 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5*j**3 + 1441*a**3*j**3 - 2559*a*j**3 - j**2 wrt a.\nAnswer: 40*a**3*j**3 + 8646*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005131357 to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170 + 187. Put h, 1, 5 in decreasing order.\nAnswer: h, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280005601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 24*v**2 + 2*v + 25. Is 15 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 7*f. Let v be x(7). Suppose -16*l + 15 = -11*l. Sort l, -4, v in ascending order.\nAnswer: -4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 6. Let d be f(-4). What is the first derivative of -2 + n - 2*n - 2 - d*n wrt n?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Let h(p) = 6*p - 5*p + p + 0*p. Give h(t(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/70)\/((36\/(-756))\/((-2)\/(-8))).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1056 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 + 20*q - 17*q + 58)*(0 - 3*q + 0).\nAnswer: -9*q**2 + 144*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(208)*-4 - sqrt(13)) + 5 + (sqrt(143)*2)\/sqrt(11) + ((sqrt(13) - (-1 + sqrt(13))) + 2 - sqrt(13))*-2 + (sqrt(26)\/sqrt(2)*4 + sqrt(13))*-5.\nAnswer: -4*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32697446 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-1) - 0)\/2. Suppose h = 6*n - 3*n - 777. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 2275.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188551, 188333, 187949, 187393, 186659, 185741, 184633?\nAnswer: 183329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -345 - -418. Calculate the remainder when 109 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 - 3.65\nAnswer: -5.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and 26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1076\/(-5))\/((-20)\/200). Let l = 1347 + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42298043 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 44 = -2*g, -5*p - 4*g = -20 - 22. Calculate the remainder when 16 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8377741 (base 9) to base 10.\nAnswer: 4480309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -175, -0.1, -4\/7, -4, -5\/13.\nAnswer: -175, -4, -4\/7, -5\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -1. Let u be -3 - -1 - t*-1. Suppose -w - u*x = -0*w - 8, -4*w = 2*x - 26. What is the remainder when 16 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - l**2 - 4*l**2)*(-8023591*l + 4993*l**2 + 8023591*l) as u*l**3 + q + i*l**2 + m*l**4 + n*l and give m.\nAnswer: -9986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0506861755 rounded to 6 dps?\nAnswer: 0.050686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3301011 (base 4) to base 9\nAnswer: -23143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -6*n**2\/7 + 78000*n\/7 - 253250304\/7 = 0.\nAnswer: 6296, 6704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232835699 and 140647.\nAnswer: 10819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42 (b) -24\/7 (c) -16 (d) -0.4 (e) -5\/3 (f) 1 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1895, -0.4, -23, -2, -3\/4.\nAnswer: -23, -2, -3\/4, -0.4, 1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 192870632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 357011, 357025, 357049, 357083?\n\"Answer: 5*n**2 - n + 357007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.1, -4, -12178 in decreasing order.\nAnswer: 0.3, 0.1, -4, -12178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d. Let k(h) = -h. Let m(q) = -8*k(q) - 3*z(q). Let p(r) = -r**2 - 1. Let g(a) = 50*a**2 + 25. Let l(y) = g(y) + 25*p(y). What is m(l(s))?\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.8.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7435 (base 9) to base 11\nAnswer: 4113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1029*y**5 + 6*y**3 + 11533*y wrt y.\nAnswer: -20580*y**3 + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 5*d + 5. Let a(k) = -k**2 + 6*k - 3. Let n be a(4). Let q be z(n). Let g(f) = -f**3 + 4*f**2 + 7*f - 6. Is g(q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j - 7304 = 522*j - 5040 + 7358 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41644*a**3 - 42014*a**3 - 42012*a**3 + 125666*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -62*y - 55*y - 97*y - 15190 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {e: 2, t: 7, n: 2, g: 8}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -640720 + -21?\nAnswer: -640741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 6. Let u(d) = -8*d - 40. Let b(r) = -40*n(r) - 6*u(r). Let l(k) be the second derivative of k**3\/6 + k. Give b(l(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Let i = 509 - 314. Suppose 4*s - i = -5*t, s - 195 = -g*t + 5*s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -205*w**2 + 2. Let t(x) = 189010*x**2 - 1845. What is -3690*c(i) - 4*t(i)?\nAnswer: 410*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4\/17 - 2132*f**3\/17 - 562806*f**2\/17 + 2867580*f\/17 = 0.\nAnswer: -537, -534, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5175*u - 5175*u + 20*u**3 + (-2*u**2 - 2*u**2 + 2*u**2)*(-3 + u + 3) + 2*u**3 - 1 + 1 + 0*u**3 - 2*u**3 + u**3 + (6 - 3 - 1)*(u**3 + 4*u**3 - 3*u**3).\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c**4 - 29\/60*c**5 + 0*c + 7\/3*c**3 + 18*c**2 + 0. Differentiate o(a) wrt a.\nAnswer: -58*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 12*c - 10. Give z(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*-253.\nAnswer: 10879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.0901, -4?\nAnswer: -0.0901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8*u + 32. Is (-75)\/(-7) - u\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from sfffssss.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802968.\nAnswer: 2, 3, 33457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -57) + 1410113\/(-26732)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231920661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -113*v**5\/60 + 5*v**4\/24 + 6056*v**2. Let f(b) = -3*b. What is f(a(o))?\nAnswer: 339*o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132449 is divided by 946.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23023 is divided by 235.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c - 14 - 28. Solve c*r + 5 = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*v**2 - 226 - 2*v**3 + 2*v + 0*v - 203*v**2 + 66*v**2 + 71*v**2 in the form r*v**2 + s*v**3 + k*v + a and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 13) in base 6?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/7 and 5\/41439.\nAnswer: 290073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3 + 1. Suppose 2*s = 4 + 6. Suppose 4*b = -3*c + 8, -s*b + 2*c = -6 - 27. Put b, w, 4 in decreasing order.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3)\/2*2. Let p = 5 - k. Suppose -p*z = -0*z - 45. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 - 0.38. Let u = -4 + 3. Put t, -3\/8, u in ascending order.\nAnswer: u, -3\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-1)\/30). Let u(t) = 4*t - 9. Let w be u(5). Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/40*-70*(-16)\/336.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.11805 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + v)*(-3 - 2*v + 3) - 2279*v**2 - 1240*v**2 + 1027*v**2 + (-3*v - 4*v + 4*v)*(0 + 0 - v).\nAnswer: -2487*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 5) + (0 - 2). Let y = z + 6. Let n = 0.06 - -0.24. Which is the third biggest value? (a) y (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298 = -17*q - 183 + 405 + 466 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*d - 5 = 0. Let z(i) = -4*i**3 + 6. Let t(y) = y**3 + y**2 - 1. Let c(u) = d*z(u) - 6*t(u). Find the third derivative of c(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from bbvvbvfbvvvvv?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 30*k**2 + 83*k - 18. Let u be h(27). Solve -13*o + o = -u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -63365\nAnswer: 1\/63365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)*l**1 assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 4. Let c be g(-6). Which is greater: c or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1448 + -986. Let q be (-44)\/z - (-1688)\/(-798). Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*m + 10, -10*m = -5*m. Suppose 0 = -4*s + 3*h + 741, -592 = -3*s - 3*h - a*h. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1100 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 11 + 30*r + 6*r**2 - 10*r - 23*r. What is the remainder when t(5) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16649 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 20645131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834019347?\nAnswer: 3, 7, 5673601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2355082975 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*(44\/(-24))\/(-11)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397*-0.4.\nAnswer: 158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -137 * 15\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 5*t**3\/3 - 105*t**2 + 1080*t + 1854. Factor v(y).\nAnswer: 5*(y - 36)*(y - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + 2 - 1 + 1 + 3 - 3 - 1 - 4 - 1 + 6 + (1 - 2 + 3)*(3 - 3 + 2) - 2 - 1 + 4)*(-3 + 4*m + 3)*(-2*m**2 + 2*m**3 + 2*m**2).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -144806 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1851\/2 - -1024. Is p > 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:24 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 70\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose x*c = -2*c. Let m be (-2)\/2*2\/(-2). Solve c = 5*z - 4 - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 64885334 and 36.\nAnswer: 64885370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmemeqwumqqq. What is prob of sequence qu?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -90, -92, -94, -96, -98?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(152)*-2*5)\/(-1*sqrt(8)*-5))**2.\nAnswer: -20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2367254*u**2 - 1057498*u wrt u?\nAnswer: 4734508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koovfoovofof. What is prob of sequence ffk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272 + -180. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from mmcaw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -69. Calculate the remainder when h is divided by -2 + (-22)\/(-10) - (-4736)\/320.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 37. Suppose 564*a + 144 = 573*a. Give j(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 78 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 288 = -15*h - 4*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**2 - 5318 - 3*z**2 + 0*z**2 + 443*z - 58*z + 668*z wrt z.\nAnswer: -10*z + 1053","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 rounded to 2 decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-3 + 0 + 1). Find the second derivative of 14*d**i + 23 + 19 - 42 - 11*d wrt d.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.98 + 60.88. Let j = n - 52. Let v = -0.72 + -0.28. Which is the fourth smallest value? (a) 3 (b) v (c) 1\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -10*a + 13*a + 11, 0 = 6*v - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 63*j - 171. Calculate k(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/30*(-25)\/30*2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - -37 - (3 - (-6 + 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4 + 4. Suppose -129 = -4*h - 5*i, 3*i = f + 11. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12 - (-931)\/(-76)) + 737\/4 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(10\/(-6)))\/(3\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1862.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -59 + 45 - (1 - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -12d02d?\nAnswer: -12d034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*10\/4*1\/(-5). Let f(j) = j + 12. Let o be f(11). Let s = -18 + o. Solve -s*z = -b*x + 13, 0 = z + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.96 (b) -6\/7 (c) 1 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8049080*b**2*q**2 + 34*b**2*q + 101*b*q - 2*b - 2*q**2 + 597*q wrt q?\nAnswer: 16098160*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 60*b**5 - 55*b**4 - 1955*b**3 + 3470*b**2 + 1260*b - 1800 = 0.\nAnswer: -6, -3\/4, 2\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 0*h + 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(11 + -2))\/21. Let y = k + 22\/63. Factor -1\/3 - y*l**3 + 1\/3*l**2 + 1\/3*l.\nAnswer: -(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19862290 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -174859, -349796, -524731, -699664?\n\"Answer: q**2 - 174940*q + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.057 and 0.1?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1049, 2139, 3219, 4289, 5349?\nAnswer: 6399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/2 + 37261517*l\/2 + 18630759 = 0. What is l?\nAnswer: -1, 37261518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 x when three letters picked without replacement from {n: 1, d: 7, x: 2, u: 1, m: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38986 + 26814 = 5*p. Let m = 6920 - p. What is m rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 15. Let w be h(-12). Suppose -5*q - g + 3364 = 0, -7*g = -4*q - w*g + 2696. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 5*r + 14. Let f be v(-8). Let l(p) = -p**3 - 9*p**2 + 10*p + 12. Let w be l(f). Is 1277 + 0*3\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -7)*(5\/(-2) + 2). Put 3, 19, x in decreasing order.\nAnswer: 19, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42.99344 - -43. Round a to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3088800\/2861 and 1080 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313*(-6 + 3)\/12 + (-70)\/(33600\/1560).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 15. Sort -1\/3, i, 2\/5 in decreasing order.\nAnswer: 2\/5, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 39*x**2 - 150*x + 249. Let b be g(35). Let k(h) = -52*h + 2. Let o be k(2). Let s = b - o. Solve -s = -2*y + 4*u + 7, 4*u + 4 = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -146, 1, 1\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from haiiihhhhzahhaahz?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 4, y: 5}. What is prob of sequence hkkk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y**4 + 0*y**4 - 12*y**4)*(1 - 1 + 3*y) + 2*y**2 - 2*y**2 - 2*y**5.\nAnswer: -62*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134064 and 6318.\nAnswer: 47056464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 336\/35*85\/(-68).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01799 rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387418?\nAnswer: 2, 97, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 6:36 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 4*f + 9. Let x be m(5). Let s be -2 + -2 + 18 - x. What is the highest common divisor of 70 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 42*p**2. Let w = 345 - 336. Let d(v) = -8*v - w*v - 5*v + 25*v. What is b(d(a))?\nAnswer: 378*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 17*q - 17344. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5754)\/(-28)*4\/3. Let u = -178 + s. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 13. Let q be 42\/m - (-8)\/(-10). Solve q = -y - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 - (1 + 7 + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/154*-2 + (53600\/(-176))\/50?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j. Suppose j = -0*u + u - 383. Let t = 158 + u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 4680*c - 23500.\nAnswer: 4*(c - 5)*(c + 1175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11)*1 - sqrt(33)\/(sqrt(3)*-2) - sqrt(22)\/(-2*2*sqrt(2)))**2.\nAnswer: 539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 5 (c) -8740\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -6. Suppose -3*g + 5*x + 6 = -1, 2*g - 5*x = 13. Let n = h - g. Does n = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 12*d + 1. Determine r(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -160, -242?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -684 and -7518\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Let v(b) = b**3 + b**2 + b - 1. Let l be v(1). Find the third derivative of 0*m**2 + 0*m**l + m**2 + 0*m**3 + 4*m**c wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*n + 172*n - 875 - 15*n + 24*n - 7*n + 876.\nAnswer: 266*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 544 and 544.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1400, 2734, 4068, 5402, 6736?\nAnswer: 8070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, t: 2, d: 5, x: 2, s: 2}. What is prob of picking 1 x and 1 t?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/59, 2\/13, -1 in ascending order.\nAnswer: -1, 8\/59, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3730038 years to months.\nAnswer: 4.4760456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6406641 to the nearest 1000.\nAnswer: 6407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 610?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 252 * -5.45.\nAnswer: -1373.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1378 and 9656\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/9)\/(f**(-3\/19)\/f) assuming f is positive.\nAnswer: f**(293\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:15 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 578?\nAnswer: 3\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5*c + 383932*b**3*c*i**2 + 13*b*c*i**2 - 10*b*c*i + 10*b*i**2 + 1 wrt b.\nAnswer: -20*b**3*c + 2303592*b*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/5 + 1852*x**2\/5 + 58738*x + 864456\/5 = 0 for x.\nAnswer: -724, -199, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2265 > -2260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(sqrt(252) - (sqrt(252) + 2)) + (sqrt(252) - -5*sqrt(252))*2)**2*6.\nAnswer: -3456*sqrt(7) + 217824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1261.91 - 1262. What is the second biggest value in 0.25, u, 2\/19, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 14 = -14 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -12 + 7. Solve y*i = -5*f - 15, 3*i - 35 = 5*f - 2*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 39*o**2 - 18*o. Let g(f) = 12*f**2 - f**2 + 11*f - 16*f. Give 18*g(l) - 5*u(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = 9. Solve 5*d + 22 = -2*h, v*h = -3*d - 15 - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 3)*-1 + 4. Let y(b) = 6*b - r*b + 4 - 2*b. Give y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:55 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 31 + 9 = 0. Solve 14 = -3*f - m, -2*m - 20 = 2*f - l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a - 1. Let q(c) = -14*c - 1. Let l(y) = -5*q(y) + 8*z(y). Let t(b) = -6 + 0*b - 5 + 3*b - 10. Let w be t(6). What is l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k**2 + 2*k - 3. Let a be h(1). What is the lowest common multiple of 46 + a\/(-6)*-3 + -5 and 28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17836, -17878, -17920, -17962?\nAnswer: -18004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u**1)**(2\/83)\/((u*u\/(u*u**(1\/5)*u))\/u*u\/(u*u*u**(-5\/3))*((u\/((u*u*(u\/u**4)\/u)\/u)*u*u)\/u)\/(u**(-1\/4)*u)) assuming u is positive.\nAnswer: u**(-18989\/4980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.4691774 to 0 dps.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.4, 34, 8.7, 0.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1584) + (sqrt(1584) + -2)**2)*-1.\nAnswer: -108*sqrt(11) + 4764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o. Let p = -2 - o. Let r = p + 6. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/7)\/c*c)\/(c*c**(-6)\/c*c)*c**(5\/6)*c*c**(-4\/3) assuming c is positive.\nAnswer: c**(65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*n - 9 - 10, -5*n = -10. Suppose 0 = 50*y - 86 - 114. Let s be y\/l*33\/(-22). Solve 1 = -0*d - 3*d + o, o = 4*d + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2. Suppose 0 = 17*h - 34 - 238. Suppose 20*r - 4 = h. Let v(g) be the second derivative of -g**3\/6 + g**2\/2 - g. Calculate r*q(u) + v(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2683657137 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 4:24 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560 = 90*r + 40*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.33 - -9.74. Let v = 29.33 + m. Let c = 14 - v. What is c rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 12. Let m be q(7). Let p be -27*3*m\/(-18). Solve -4*y = -3*o + 17, 3*o = -0*o + p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f56 + -4?\nAnswer: -6f5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 11 + 3 = 0. Let b = j + 12. Suppose -b*g - 3*c = -c - 154, 0 = 4*g + 3*c - 126. What is the greatest common factor of 45 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -44 + 58 - 21 - 16*a - 44 - 8. Determine j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 2:41 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*d - b + 2*b, -5*b - 17 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(1*sqrt(425) + 5 + -3)*4)**2 + 1.\nAnswer: 32000*sqrt(17) + 686401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001692 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 7*p - 189. Let a(f) = 28*f**3 - 5*f**2 + 11*f - 6. Let t be a(2). What is the greatest common factor of t and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7263302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 301*f + 302.\nAnswer: -(f - 1)*(f + 302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*d - 104 = 0, 2*b + b + 2*d - 64 = 0. Let f = b - -2. Suppose 0 = 2*j - 6 - 2, -2*q + f = 4*j. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 184036941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**3\/2 - 2*b**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 25*r**2 - 25*r - 31. Calculate m(-26).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 8544*z**3 - 4484628*z**2 - 83514888*z.\nAnswer: -4*z*(z - 1077)**2*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*d = -2*d - 9505 + 1055 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 o when four letters picked without replacement from ogqaaoo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2486 + 2485. Put 452, h, -2 in descending order.\nAnswer: 452, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -80. Let z = 62\/3 - 22. What is the nearest to s in -0.3, -5\/6, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 9307435986275?\nAnswer: -9307435986273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 49. Let x(c) = 413*c**3 + c - 205*c**3 - 204*c**g. Let o(r) = -5*r**3 - r. What is 3*o(z) + 4*x(z)?\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*b**3 - 154*b**2 wrt b.\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/((l*l**(-2\/17)*l)\/l)*l)**38\/(((l\/((l**(-4\/13)*l)\/l))\/l*l)\/(l\/((l\/((l\/(l\/l**(-10)))\/l))\/l))) assuming l is positive.\nAnswer: l**(23683\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317668.\nAnswer: 2, 13, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u + 1. Let m(j) = 2*j**2 + 5*j - 1. Let k(c) = 5*b(c) + 3*m(c). Let w(z) be the first derivative of k(z). Let n(f) = f**2. What is n(w(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -94, -134, -182?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -59. Suppose 0 = -3*l - l + 24. Calculate the greatest common factor of d and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6581, -13180, -19779?\n\"Answer: -6599*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 4\/5, -4096?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3387341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4. Let h = 0 + z. Put -5, h, 4 in decreasing order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-38)\/4)\/(7\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 15. Suppose r + 4*n - 8 = 0, 4*r + n - 68 = -6. Suppose -o + 5*o + r = 0. Put -2, o, y in descending order.\nAnswer: y, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = -57*h + 11*h - 742 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -25418 - 27102. Suppose -4*i = 3*a + 4377 - s, 0 = 4*i + 5*a - 6129. List the prime factors of i.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 17. Let y be f(-13). What is the units digit of (10\/20)\/((-2)\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {s: 4, l: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 5. Let z(s) = s**3 - s**2 - s + 2. Let w be z(2). Sort n, -3, w in descending order.\nAnswer: w, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)*(a\/a**(-6))\/a*a\/(a*a*a**(-8\/3))*a**(-1\/5)\/a assuming a is positive.\nAnswer: a**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4826138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21795457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288) + sqrt(8) + sqrt(8))\/(sqrt(40)\/(sqrt(30)\/sqrt(3))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/282*12\/(-11).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3043 (base 7) in base 9?\nAnswer: -1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 1055543?\nAnswer: 1055536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6174 + 6480 = 54*g - 3006. Solve 0 = 280*t - g*t + 60 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/7 + 75*x + 13002\/7.\nAnswer: -3*(x - 197)*(x + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -203 + 199. Let v be -3*l\/(-24)*2. Let n(h) = h - 6. Let m(w) = 0 - 1 + 0. What is v*n(s) + 3*m(s)?\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -461902 minus 543619835?\nAnswer: -544081737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 72. Suppose -5*z + j = -8*z. Let o be 3\/z + (-10)\/15. Is -11\/6 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 divided by 150?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (44 - (34 + 14))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5020 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -521 + 520. Let q(i) = i**3 - 9*i**2 + 7*i + 9. Let p be q(8). What is the nearest to 2 in b, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -40*l - 3. Let a(q) = -q**2. What is a(x(w))?\nAnswer: -1600*w**2 - 240*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d - 162 + 273 - 133 to the form o + g*d and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -891 - -873 - (-1 - 65).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.5 (b) -0.2 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*m = -140*m - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 3. Calculate c(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 366*w - 365*w - 7 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3128 - 2270. Calculate the remainder when y is divided by 84.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -45*u**2 + 10*u + 21. Let z(g) = 23*g**2 - 5*g - 11. Let m(v) = -6*h(v) - 11*z(v). What is the units digit of m(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1864371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(1539) + 1 + sqrt(1539)))**2 + 6*((sqrt(475) + sqrt(475) + sqrt(475) + sqrt(475)*-3)**2 + sqrt(475)) + 3.\nAnswer: 30*sqrt(19) + 6159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/13, 6\/23, -0.03, -3, 0.4, -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57711471*-0.8.\nAnswer: -46169176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 36\/299, -11.1, 3, 1 in increasing order.\nAnswer: -11.1, 36\/299, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-780)\/25)\/13*(-15)\/63.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = 57*a - 58*a. Let f(x) be the second derivative of 3\/2*x**a + 14*x + 5\/2*x**2 + 0*x**3 + 0. Differentiate f(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-17)\/136 - (-326)\/2448 and -11\/117?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 14*s**2 - 26*s - 17. Let b be q(-12). Let l(t) = -2*t**3 + 2*t**2 + 2*t - 3. Let p be l(-3). What is the highest common factor of b and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n - 2 = 0. Let g be (1 + 0)\/((-1)\/n). Suppose 0 = 5*f - 0*f - 150. Solve -2*k - 2*k = 5*t + f, -5*k - 21 = -g*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1335 - 937. Suppose 0 = 2*t + 4*b - 162, -4*t - 3*b + q = t. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 207*b + 626. Determine z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 73 = 3*y + 6*n, -5*y = 3*n - 122. Solve 23*d = y*d - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70557 - -70557.16. Let z = 1.1 + -1. Which is the nearest to z? (a) -0.2 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*t - 5 - 1 + 4 + 14091*t.\nAnswer: 13406*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*m = -7121 - 809 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + (sqrt(19) + sqrt(19) + -4*sqrt(57)\/sqrt(3))**2 + (sqrt(76) - (0 + sqrt(76))**2)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**2 - 13*i - 14. Let v be z(-1). Let u(r) = r**3 - 12*r**2 - 2. Determine u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -93. What is the first derivative of 5 - 5*z**3 + z**3 + 3*z**3 + g wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6786638\/7 - 969520. Let q = -131 - -527\/4. Put q, -0.16, r in ascending order.\nAnswer: r, -0.16, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1082, -888, -696, -506, -318?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, and 1 x when three letters picked without replacement from apafjxppjaapj?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 70\/(-50)*(10 - 2)*600\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.064 + -0.064. Let w = g - 33. Which is the fourth smallest value? (a) 4\/7 (b) -2\/7 (c) 1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujjb when four letters picked without replacement from byyyyuyuyyyyyyj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/7 + 2*b**3 - 5*b**2 - 50*b\/7 = 0.\nAnswer: -1, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 - 184. Let y(j) = 3*j**3 - 5*j**2 + 6*j + 23. What is the hundreds digit of y(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179838 + 90638501\/504. Find the common denominator of 2\/129 and u.\nAnswer: 21672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 + -1177\/5. Let f be (-2)\/24*4\/12*6. Which is the closest to 0.2? (a) f (b) u (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.416 - -5.916. Which is the biggest value? (a) 0.3 (b) 4 (c) -2 (d) o (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 - 178. Solve i = -4*g - 16, -5*i + 0 = l*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693, -692, -691, -690?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -708 (base 10) to base 7.\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 791760 = -59*i. List the prime factors of i.\nAnswer: 5, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**(-46)*a\/(a\/((a**(-2\/9)*a)\/a))*a**2)\/((a\/a**(2\/21))\/((a**(1\/9)*a)\/a)*((a*a**(-1\/9)\/a)\/a*a)\/(a**(-2\/5)\/a*a)) assuming a is positive.\nAnswer: a**(-1537\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 7*s + 8. Let r be x(-7). Suppose 17 = 3*f + r. Solve -6 = -f*c, 3*c + 18 = -4*k + 2*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2001917l?\nAnswer: 200.1917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 3*m + 2. What is j(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 15 + 33)*(0*j - 6*j + 3*j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-93)*((-550)\/(-20) + -32). Which is the third smallest value? (a) 2 (b) -3 (c) p (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 8) to base 11\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 16 + 1 = 0. Calculate the remainder when (10*g)\/((-4)\/6) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-3 + 22\/4). Let t = 4.5 + 0.5. What is the nearest to q in -1, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d**2 - 48. Let n = 3 - 3. Let g be z(n). Calculate the remainder when 40 is divided by g\/(-36)*9\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {k: 11, a: 9}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346.4 - 12964.48752.\nAnswer: -12618.08752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 165516.\nAnswer: 496548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -582 divided by -3938?\nAnswer: 291\/1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -85?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.3, -4, -9.4?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -4. Let z = -17.8 + 13.8. Put -5, z, l in increasing order.\nAnswer: -5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576591 and 21829248.\nAnswer: 1549876608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -111945*c. Let n(z) = 10*z. Calculate n(q(k)).\nAnswer: -1119450*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7040 = 7*a + 1979. Is a*((-6)\/3*-1)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1348009 divided by 1?\nAnswer: -1348009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s. Let n(d) = d**3 + d**2 + d - 1. Let j be n(s). Let y be (-15)\/(-6)*j\/10. Put 0.1, -0.2, y in ascending order.\nAnswer: y, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 4, n: 2}. What is prob of sequence ccn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9*-7*(-3)\/((-9)\/37).\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52772529?\nAnswer: 3, 17590843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q - 4*q)*(-4 - 3 + 2 + (0 + 2 - 3)*(0 - 3 + 1) + 0 - 2 + 1 + 1 + 3 - 3) + 0 + q + 0.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-7)\/(-2)*(-1464896)\/(-2632) and 40?\nAnswer: 19480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2940077 - -1734.\nAnswer: -2938343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.2 (c) 0.1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 6. Let d = 10 - 13. Let w be z(d). Which is bigger: -2\/59 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(sqrt(242) + (sqrt(242) - (0 + sqrt(242))) + sqrt(242) + sqrt(242)) - 2*3*(4 + sqrt(242) + sqrt(242)))**2.\nAnswer: 14520*sqrt(2) + 218284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8554.65219us to weeks.\nAnswer: 0.000000014144596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*v - 9*v = 1183957. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and 263562.\nAnswer: 10806042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -362, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/437, 0.2, 1\/2, -4, 33?\nAnswer: 6\/437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 6:32 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/7))\/l**(-16))\/(l**0)**37 assuming l is positive.\nAnswer: l**(118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 8) to base 2\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75375 rounded to 2 decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 14 - (38 - 1 - (10 + (-28 - -13))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2 - t**2 - 6*t**2 - 1 + 3*t. Let s be i(2). Let o be ((-3)\/2 + 2)*-2. Put s, 2, o in ascending order.\nAnswer: o, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 4869\/63 - 4\/14. Solve -6*y + b - 70 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2340\/2015*(-6789)\/(-292).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 37*r**2 + 77*r - 39. Let i be c(-39). Solve -y + i = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**3 - 540*q**2 - 3455*q + 3990 = 0.\nAnswer: -7, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*z**2 + 0*z**3 + 4*z**3 + 4*z**3 - 235*z**2 - 6*z**3 to the form m*z**3 + a*z + j*z**2 + x and give j.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(170) - (sqrt(170) - ((sqrt(170)*-2 - sqrt(170) - sqrt(170)) + sqrt(170)) - sqrt(170)))\/sqrt(5) + sqrt(34)))\/(6*sqrt(160)\/sqrt(5)) + -2.\nAnswer: -2 - sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 124*s**3 - 2344*s**2 - 2464*s.\nAnswer: 4*s*(s - 14)*(s + 1)*(s + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 4:40 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 86220?\nAnswer: 86221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.005, 28, 1\/8 in ascending order.\nAnswer: 0.005, 1\/8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 91. Suppose -q*d = -5*d. Suppose -2*x - 2*x = n - 231, -5*n + 2*x + 1111 = d. What are the prime factors of n?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Suppose -5*r + 0*r - 30 = 0. Let f(q) = -4*q**3 - 4*q + 6. Let s(g) = -3*g**3 - 3*g + 5. Give n*f(c) + r*s(c).\nAnswer: -2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.581437 minutes?\nAnswer: 94886220000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0*t = 3*h + 8, -t + 4*h = -13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 249445?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*z + 46 = 0, -3*z + 0 - 13 = n. Let c be (n\/15)\/((-2)\/3). Let y = -5503\/15 - -367. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/60 - 6*s**2. Let x(g) = -11*g**3 - 2*g**2. Let j(z) = -5*n(z) - x(z). What is the third derivative of j(p) wrt p?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 488 + 1054. Suppose 0 = -24*h + 282 + t. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2865, -23096, -77861, -184428, -360065, -622040, -987621, -1474076?\n\"Answer: -2878*t**3 + t**2 - 88*t + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/11 and 161\/274164.\nAnswer: 274164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*d + 3*d + 2*b, d = -3*b - 4. Let p(f) = -f**3 - 9*f**2 - 3*f + 25. Let g be p(-8). Is d at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682236 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702045.\nAnswer: 3, 5, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4211 - 124444?\nAnswer: -120233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 33 - -1 - 0\/1. Let o be (0\/(2 - 0))\/(w - -28). Solve 0 = -o*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 15*x + 3. Let b(k) = -3*k**2 + 7*k - 1. Let m(g) = -5*b(g) - 2*y(g). Let v(u) = 2*u**2 + 5*u + 3. Let c be v(-3). Calculate m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 6)*38\/6. Let h = 52 - 62. Let p = h - b. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 19*v - 12*v + 33*v, -5*z + 2*v + 24 = -2*v for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-390)*13*1*4\/(-8).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35739399611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 220642928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 167, 254, 361, 482, 611?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151290 and 1962.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/43 and ((20 - 21)\/(-6))\/((-1)\/47).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -110*l - 25. Let u(x) = -866*x**2. What is t(u(c))?\nAnswer: 95260*c**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1113311?\nAnswer: 1113304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5223.\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x**2 - 19*x**2 + 7*x**2)*(-2*x + 2*x - 2*x)*(-17 - 10 + 13).\nAnswer: 196*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1215) + sqrt(1215) - sqrt(1215)) + sqrt(15))\/(4*sqrt(5)*3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26024831*r**4 + 2*r**3*w**3 - 2*r**2*w**3 - 365789*r**2 - r*w - 3*w**3 + 1 wrt r?\nAnswer: 624595944*r + 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-4*-6*6 + -2*sqrt(200) + -1 + 5)**2.\nAnswer: 3296*sqrt(2) + 339504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 82, 217, 448, 799, 1294, 1957, 2812?\nAnswer: 3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + (6 - (4 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72 + 374*d - 510 + 237*d + 140 with respect to d.\nAnswer: 611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:41 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 904 - 907. Suppose 2*t + 0*t = 0. What is the nearest to t in v, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9101801 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34196333 to the nearest integer?\nAnswer: 5848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = 5*k - 11*k. Let u = 273 - k. Let g = -97 + u. What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 956802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/(1\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 2. Let y be m(-2). Suppose y = -0*t - 2*t - 12. List the prime factors of (-58)\/t - 1\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.009.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261334 is divided by 7682?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 169125 = 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04709481 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50031.\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 292\/3. Let k = 3 - 3.6. Let o = -0.2 - k. Sort t, -4, o in decreasing order.\nAnswer: t, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 26\/62687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410*f**2 + 6*f**2 - f + 71*f**2 - 241*f**2 to the form y + d*f**2 + c*f and give d.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11745 is divided by 1653.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246526.\nAnswer: 2, 7, 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 9. Let y be ((-1)\/(-5))\/((-56)\/(-35)). Which is the closest to -1? (a) y (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -166623*s**2. Let k(q) = 2*q. Calculate f(k(l)).\nAnswer: -666492*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1134\/(-252)*(1 + 1\/3). Sort -3, t, -2.\nAnswer: t, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7670137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2801 + 2812 - (-1 + (-2 - -34)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*h + 696 = 58*h. Solve -5*l = 2*y - h*l, 0 = 3*l + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - z + 13 = z, 5*j + 3*z = 37. Let k(t) = 4*t**3 + 4*t**2 - 2. Let g(s) = 9*s**3 + 8*s**2 - 5. Give j*k(i) - 2*g(i).\nAnswer: 2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w**2 + 2*w - 26. Give x(4).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6894)\/27972 - (-49 - 61770\/(-1260)).\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 1164*k + 16 + 69 = 1169*k, 2*k = 10 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:03 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1. Let z(f) = 4*f**2 - 2. Let i(b) = -2*g(b) - z(b). Suppose -4*x + 0*a - 4*a + 8 = 0, -x = 4*a - 2. Let n(w) = 4 - 4 + x*w**2. Give n(i(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + 19121*x**3 - 111*x + 47.\nAnswer: -12*x**2 + 114726*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2783904774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 70. Let z be c(19). Solve -2*q - r = -z, 3*q - 22 = -2*q + r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2536241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6296 rounded to 2 decimal places?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o + 29. Let f(w) = 3*w - 14. Let c(p) = -5*f(p) - 2*s(p). Let q be c(-4). What is the greatest common factor of q and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.1433456 + -0.1428856. Let x = 22 - 40. Let f = p + x. Round f to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -17, 4, 5, 1 in descending order.\nAnswer: 5, 4, 1, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49\/216 + -1\/216. Let j be (-2 + 3 - -5)\/1. Let o be (-3)\/((-9)\/j) - -2. Which is the second biggest value? (a) o (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -m, 2*m - 31 = 5*m + j. Let x be ((-91000)\/(-21))\/(2\/m). Round x to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {j: 6, f: 5, n: 2, z: 1, o: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040355 (base 6) in base 11?\nAnswer: 121241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (-26 - -23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*m + 232389 - 232781 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/4 + 4\/(-16). Suppose -4*u = -n + 17, -m*n - 3*n = -4*u - 37. Let v = n - 4. Does 1 = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -205, -2, 0.\nAnswer: -205, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 6*c + 5*c)*(c - 4 + 4) - 2*c**2 + 3 - 3 - 2*c**2 + c**2 + 0*c**2 + (-302 - 24*c + 302)*(c + 4*c + 3*c)*(-4 + 1 - 4).\nAnswer: 1342*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/6 - 39\/(-13))\/((-32)\/6). Suppose -2*r = 3*v + 4, -v = -2 + 6. Let z = 0.6 + -0.1. Which is the closest to 1\/3? (a) r (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in 26, -3\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4 - 2*l**2 + 7.\nAnswer: -2*l**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 220 - 4*g**2 - 220.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/6 - 19*a + 3. Let r(f) = 118*f**2. Give r(o(c)).\nAnswer: 472*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n = -89 + 45 + 14, -n = -4*c - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 11:32 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 6*n**2 + 2*n + 6. Let t(g) = 4*g**3 - 5*g**2 - 2*g - 7. Determine 4*t(f) + 5*z(f).\nAnswer: f**3 + 10*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.326 + 29.684. Let l = v - 0.01. Let q = -30.00013 + l. Round q to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 10. Let j = x - 27. Suppose 0 = -h + j + 1. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**4*(b*b**(-14))\/b)**10\/(b\/(b\/(b\/((((b**9*b*b)\/b)\/b)\/b)))*b\/(b\/(b**0*b*b*b)))**(29\/4) assuming b is positive.\nAnswer: b**(-141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - m + 23, 66*m - 62*m - 7 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 72 = b. Is ((-378)\/b)\/((-6)\/168) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 38 + (-25 - -33)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83138375 divided by -16627675\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1315 + -802. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*a**3 + 157129 - 157126 - 64*a**3 to the form i*a**3 + n*a + y + d*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 9 = -2*j. Let d be ((-2)\/4)\/(j\/32)*1. Solve -2*x = 3*s - 7, 0 = 4*x - d*s + 6*s - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**2 + 9*a**3 - 3*a**2 - 7*a**3 + (-2*a + 4*a - 4*a)*(-24 - 5*a**2 + 24) to o*a**2 + u*a + g*a**3 + c and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 16*k - 20. Calculate l(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let y(v) = -12 + 10 - 115*v + 7 - 7. What is m(y(p))?\nAnswer: 230*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 15*q + 24 = 0. Solve -b - 24 = -5*l, 2*b + 32 = -2*b + q*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89258545 and 469715.\nAnswer: 12695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from oeyoooymjoeezoojyj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 253.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -19 - -13 - (1*1816)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(4 + -8) - -4. Let r be 3\/12 - 57\/g. Let z = r - -23. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 13 = 6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 10\/3, -3\/7, -14, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 10*r**2 + 8*r + 13. Let b be s(9). Suppose -b = x - 6. What is the smallest common multiple of (8 + -6)*(x + -1) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16666 + -1016602\/61. Let s = 2941\/122 + v. Calculate the common denominator of 81\/2 + (0 - 0) and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677134143 to the power of 1\/3, to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 + 10*w + 221 - 444.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 2*q - 1. Let j be 20\/9 - 8\/36. Suppose -4*n + 2*n - 3*w - 3 = 0, -3*w - 27 = -2*n. What is the remainder when c(j) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 13 = 3*i + 1, -i = -5*x + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33\/91 + 1\/13. Let m(g) = g**2 + 7*g - 40. Let x be m(4). Let b be (-2)\/(-11) + 80\/44. Put x, b, f in descending order.\nAnswer: x, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -5*o. Let n(u) = 3*u - 1. Calculate n(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {j: 1, p: 2, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 14*j**2 - 50*j - 52. Let f be q(-2). Let i(a) be the first derivative of f*a + 5\/2*a**2 + 8. Determine i(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.83, 5, -168\/109?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1238954, 2477896, 3716822, 4955726, 6194602?\nAnswer: 7433444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.23, -473\/3, -1, 5, 0.4, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -3\/2*j**2 + 13\/6*j**4 - 2\/3*j**3 + 0 + 10*j. What is the second derivative of t(s) wrt s?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2216896458 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**2 - 277*z + 277*z - 10 + (-7 + 3 + 3)*(3*z**2 - 34*z + 34*z) to the form n + h*z + j*z**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/4173 - 8030\/535?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 293*l + 124. Let z(c) = 132*c + 62. Give -6*q(i) + 13*z(i).\nAnswer: -42*i + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**3 + u**2 + 6*u - 1. Let b(w) = -w**3 + 2*w. Let f(h) = 3*b(h) - c(h). Calculate f(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 909, 3611, 8059, 14211, 22025, 31459, 42471?\n\"Answer: -7*r**3 + 915*r**2 + 6*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/18 + 1\/18. Let r(q) be the first derivative of 6*q + h*q**3 + 3 + 3\/2*q**2. What is r(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220.12 - 216. Let p = -0.12 + m. Are p and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 0. Let m = 2 - 5. Which is the nearest to 0? (a) 2 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 775808350 to the nearest integer?\nAnswer: 27853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -5\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, e: 3, g: 4, j: 3, p: 4}. Give prob of sequence jtje.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -8) + 3 + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 - 4149*j**2 - 45198*j + 107016 = 0. What is j?\nAnswer: -1372, -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1810 + 9539. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-11)*z)**(-43))**(-3\/19) assuming z is positive.\nAnswer: z**(-1290\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 62*z**4 - z**2 + 19*z + 3*z**3 - 20*z**4 - 44*z**4 - 2 - 93*z to g + q*z**3 + r*z + n*z**4 + j*z**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 4*i**2. Let c be l(-3). Let v = c + 7. Let u be ((-24)\/30)\/(v\/100). Calculate the highest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57, 132, 97, -180, -831, -1988?\n\"Answer: -22*i**3 + 77*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331859 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: Collect the terms in 14235*b**2 + 17730*b**2 + 41102*b**2.\nAnswer: 73067*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 3 (c) 73 (d) 3\/5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -5218599.\nAnswer: -5218598.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -24*g - 21. Let l be i(16). Let b = l + 683. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.26, 3, 1\/11, 2, 8 in decreasing order.\nAnswer: 8, 3, 2, 1.26, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035846 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104886 is divided by 111?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 1140?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3524 + -3431 + (6 - 1) - (-27 + 1).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 104. Let v = -24433 + 24430. Let d = 3.4 - 3. Which is the third biggest value? (a) q (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f + 3. Let h be r(2). Let t be 38\/16 + (-3)\/8. Sort t, -4, h.\nAnswer: -4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(405) + 1.\nAnswer: 3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + i. Let z be j(2). Let g = z - 4. What is the second derivative of h**2 + 2*h - 2*h**g + 2*h**2 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705612 (base 9) to base 2.\nAnswer: 1100101111011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2743 and 3788.4?\nAnswer: 10391581.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1895 and 494216.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.04. Suppose -5*n - 8 = 2*g, -7 = -n + 2*n - 5*g. What is the nearest to -1 in n, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*i = -4, i + 3 = 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -579 - 1796. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 86 = -2*g, -j - 2*g - 354 = 3*j. Let z = -86 - j. Suppose x - 4*x = 3*a - 531, 0 = z*a + 3*x - 359. List the prime factors of a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 7369?\nAnswer: 43\/7369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*c = -29, 5*r - 5 = -5*c - 15. Let n = 99.7 - 99.9. Suppose 8 = -14*o + 64. What is the closest to 1 in r, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321402 (base 7) to base 11\nAnswer: -38995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 220 + 710 = 0. Suppose -r = -6*a + 1394. Suppose 2*v = 4*p - a, 0*p + v + 280 = 4*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 4155*s - 16572.\nAnswer: -3*(s - 1381)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -481\nAnswer: 1\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 - 2*r. Let m(b) = -6*b**3 - 9*b**2 - 11*b - 2. Let q(z) = 6*z**3 - z**2 + 1. Let c(s) = -m(s) - 2*q(s). Determine -4*c(u) - 22*j(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 112629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -5. Suppose 5*q - 3*u + 4*u - 196 = 0, 0 = -4*q - 5*u + 140. What is the remainder when q is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 20*t + 193 - 267 = 0, -2*n = t + 17 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3909223, 7818446, 11727669, 15636892, 19546115, 23455338?\nAnswer: 27364561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15933, 31276, 46621, 61968, 77317?\nAnswer: 92668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71769, 71772, 71775?\n\"Answer: 3*q + 71766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12992 - -25732. What is the common denominator of 71\/(-2)*(-2)\/(-6) and t\/(-12285) - (-1 + 2)*-1?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 36 = t - 3*t, 2*t + 25 = 3*i. What is the derivative of i - 44*j - 127 + 7 wrt j?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322 - 316.438. Let h = 0.062 - r. Let u = 26.5 - h. Is u smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/192 and -79\/84.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995 >= 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 24*l**3 - 2*l**2 - 8*l - 3. Let x(n) = n**2 + 2*n + 1. Give -c(s) - 4*x(s).\nAnswer: -24*s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(7\/6)\/(d*d**(2\/15)*d)*(d*(d**5\/d)\/d)**(-1\/21) assuming d is positive.\nAnswer: d**(-81\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, 3 in descending order.\nAnswer: 24, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60774617*j**4 + 234411840*j**2 wrt j.\nAnswer: -1458590808*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 10\/7, 1, -4, 1\/7 in decreasing order.\nAnswer: 10\/7, 1, 1\/7, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {i: 1, a: 1, j: 4, w: 11, t: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24472731*n**2 - 23805421*n wrt n?\nAnswer: 48945462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 7:43 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let r(f) = 6402461*f. Determine r(m(p)).\nAnswer: 6402461*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8007 + -4273.3993. What is q rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106da14 (base 14) to base 8.\nAnswer: -35575662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -325264*f**5 + 1509*f**2 - 43*f + 2.\nAnswer: -19515840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z + 102. What is the highest common factor of z and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*v**2 - 2*v + 2*v.\nAnswer: -177*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 466*c - 20351. What is n(40)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 10680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 25620?\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1341885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1937.98 + -1860. Let p = 78 - u. Which is the closest to -2\/7? (a) -2\/19 (b) p (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 11:32 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.954 - 615\nAnswer: -615.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d - 6. Let h be l(-4). Suppose h*o = -0*o + 40. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 + 16863385*d - 16863390 = 0. What is d?\nAnswer: -3372678, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 10*q - 21. What is g(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(700)*1*6*-1 - -4*(sqrt(700) + (2*sqrt(700) + sqrt(700) - sqrt(700)))*1))**2.\nAnswer: 240*sqrt(7) + 25204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3120 - -22112424?\nAnswer: 22115544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8962\/4 - (-73)\/146. What is the greatest common divisor of 166 and h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*9\/3 - (-119 + 129)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r**2 - 5*r + 1. Let b be d(5). Let c = 76 - b. Solve -z + c*z = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 24 = 3*x, -24 = -0*x - x + 5*n. Suppose 6*g - q - 10 = 3*g, 0 = -x*g + 2*q + 14. Calculate the common denominator of (3 - 1) + g\/(-20) and -43\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/31620 and 65\/17115906?\nAnswer: 171159060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 219868.11 months?\nAnswer: 18322.3425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 52. Let w be -1*8\/(-4)*(-2 + z). What is the nearest to 0.1 in -2, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 7*o**5\/30 - o**4\/24 - 3*o**2. What are the prime factors of i(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -139*r + 143*r - 72, 5*c + 4*r = 100 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 5*m**3 - 3780*m**2 - m**3.\nAnswer: 3*m**3 - 3780*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 799983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/45892 and -105\/6556.\nAnswer: 45892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 620500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 86*b + 221. List the prime factors of k(46).\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (1*sqrt(18))\/sqrt(6) + sqrt(27)\/(sqrt(9) - (4*sqrt(9) + sqrt(9))))**2 - (-4 + (sqrt(3) - (sqrt(3) - sqrt(33)\/(sqrt(55)\/sqrt(5)))))*-5.\nAnswer: -173\/16 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-91) + 340\/182. Let k = 64\/21 - t. Factor 0*b - k*b**4 + 0 - 2\/3*b**5 - 2\/3*b**3 + 0*b**2.\nAnswer: -2*b**3*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2 - 18*x + 4. Let m(f) = 4*f**2 + 12*f - 3. Calculate 8*m(w) + 5*n(w).\nAnswer: 2*w**2 + 6*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 12. Let n be u(-7). Suppose n*a = -m + 27, 3*m = a + 3*a - 14. Suppose -4 = -m*t - 2*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1025365 to 4 dps.\nAnswer: -0.1025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - 70 - -19 - (0 - -14)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/8 and 47\/569780?\nAnswer: 1139560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9367115 months in years?\nAnswer: 0.161392625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105307615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 77769153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -19*f + 4. Let v be w(0). Suppose v*p + 8*z - 3*z - 1747 = 0, -3*p + z = -1296. Calculate the remainder when p is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4340140 (base 5) to base 11.\nAnswer: 50a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.15 - -79.85. Let n = 79 - x. Sort 0.3, 1\/7, n, 2\/23 in descending order.\nAnswer: 0.3, 1\/7, 2\/23, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j + 8. Suppose -j*u = u. Let r be 3 - (4 - 0) - 3. Sort u, 3, r in ascending order.\nAnswer: r, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-33 + 5) - 32) + 18 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9660 = -307*u - 113*u. Solve 5*b - u = -i - 4, -b + 35 = -5*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(68*(-2)\/16).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062773?\nAnswer: 31, 34283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/135 + 2*d**4\/27 + 8*d**3\/27 - 68*d**2 - 6*d - 4. Let f(h) be the first derivative of o(h). Solve f(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.061 + -5.561. Let c = a - -0.2. Round c to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10546.701 plus -4081092?\nAnswer: -4091638.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 - 5*j - 4. Let p be b(-3). Suppose -4*r + 6 = 4*a - 18, a + 2*r - p = 0. Put a, -5, 4 in descending order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 2. Let j be s(2). Let p = j - 0. Suppose 0 = -4*x + 54 - p. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3671 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3207, 3069, 2931?\n\"Answer: -138*d + 3345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1199 (b) 3.5 (c) 25.6 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/70, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*d**3*h*o**3 + 2*d**3*h*o**2 - 84*d**3 - 1263*d**2*h*o**3 - 11*d**2*h*o - 6*d**2*o**2 wrt o.\nAnswer: -354*d**3*h - 7578*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -18*m**2. Let u(g) = -2*g**2 + 69792*g + 110. Calculate u(o(b)).\nAnswer: -648*b**4 - 1256256*b**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-2)\/(-6))*1. Suppose -3*q - 5 = -4*l + 2, -q - 2*l + 1 = 0. Sort j, q, -0.3.\nAnswer: q, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6459210 by -1076535.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.63 - -3.8. Let g = -0.83 - s. Let i = 39 - 43. Which is the biggest value? (a) i (b) g (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqdb when four letters picked without replacement from {e: 2, d: 1, b: 3, q: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.05, 0.3, -1 in decreasing order.\nAnswer: 0.3, 0.05, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 9 = 5*b, -2*m + 5267*b = 5271*b + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/11? (a) -3 (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-1)\/2*-1174. Let a = -168 - d. What is a rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942887869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3167916*f**6 - 38*f**5 - 113136109*f**2.\nAnswer: -380149920*f**3 - 2280*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -920, -1003, -1240, -1709, -2488, -3655, -5288?\nAnswer: -7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1456*m**5*x - 2*m**5 + 46*m**2*x - 100546*m*x - 4*m + 3*x wrt m?\nAnswer: -29120*m**3*x - 40*m**3 + 92*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -571443, -2285761, -5142957, -9143031, -14285983, -20571813, -28000521?\n\"Answer: -571439*j**2 - j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.25 + -9.58. Let s = v + 19. Let i = 0.126 - s. What is i rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -29*n**2 + 23*n - 26. Let m(v) = 14*v**2 - 12*v + 13. Let b(q) = 7*m(q) + 3*x(q). Let r(c) = 5*c**2 - 7*c + 6. Give 6*b(t) - 13*r(t).\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = -5*s, 0*s = -4*q + s + 23. Suppose -3*i - 6 = -q*i. Suppose i*x + 3*b = 12894, 8590 = x + x + 5*b. Round x to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * 1201\nAnswer: -18015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o + 4 - 12*o - 19*o - 11*o.\nAnswer: -12*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3266 + 6443. Let b be (3\/(-9))\/(3\/w). Is (0\/3)\/(-2) - b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/3, 0.1, -0.29, -2.5 in descending order.\nAnswer: 1\/3, 0.1, -0.29, -0.5, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 30 = -n. Let w be 836\/(-8) - 7\/(-14). Let r = 108 + w. Solve -g + r*g - n = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 11*c - 15. Let p be m(10). Let w = p + 35. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 266\/9 - 1\/9*k**2 - 5\/9*k = 0. Calculate k.\nAnswer: -19, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -1\/12*f**4 + 2*f**2 - 1\/3*f**3 + f + 0. Let h be a(0). Solve -i - 2*n - h = 0, 2*i + 2*i = -5*n - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/2, -3, 0.3 in decreasing order.\nAnswer: 5\/2, 0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -295, -80, 173, 470, 817, 1220?\n\"Answer: i**3 + 13*i**2 + 169*i - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -71*c**2 + 71*c. Let g(i) = 468*i. Determine g(v(s)).\nAnswer: -33228*s**2 + 33228*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113795999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.888 + -44.8842442. Round b to 5 dps.\nAnswer: 0.00376","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.43 - 5.43. Let h = 3.57 + 142.43. What is the smallest value in -4, g, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 1. Suppose 2*f - b*f + 32 = 0. Let n be (-7)\/(-28)*f\/14. Is -1\/9 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.23974 - -0.13974. Let d = 3904 - 277178\/71. Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -6b8b?\nAnswer: 6b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**3 + 419*x**2 - 81*x - 292. Let r be u(-60). Solve 0 = -14*z - 926 + r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**3\/3 - f**2 + f - 16. Let y be r(-3). Let u(n) = -n - 11. Determine u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 - 295301*u**3 + 2*u**4 - 4*u - 3*u**2 + 295301*u**3 to r + v*u**4 + t*u + c*u**2 + n*u**3 and give r.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -498263819*k**2 + 14*k + 3754801?\nAnswer: -996527638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -254, -623, -1154, -1847, -2702?\nAnswer: -3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4.6, -12\/385, 2, 0.5, -7\/10, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/7)\/((4\/(-2))\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 30. What is the smallest common multiple of 8 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306281259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13790\/9 - -1532. Which is the closest to o? (a) -4 (b) 0 (c) -8 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x**(1\/25)\/x))\/x))\/(x\/x**(-1\/32)) assuming x is positive.\nAnswer: x**(-793\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 724, 2927, 6600, 11743?\n\"Answer: 735*u**2 - 2*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d = -28*d - 0*d + 6640 - 484 for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-21))\/((-5)\/((-70)\/(-12))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 5, c: 3, v: 3}. Give prob of sequence givi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18 = 2. Let x = 21 - q. Let i = 1569 - 1559. Calculate the remainder when x is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 6200376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**3\/6 + 2*l. Let n be p(-6). Let y = -4 - n. Solve -y*j + 1 = 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -8 - (11 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-28))\/(2*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 5. Let t be o(2). Let k(h) = -h**3 - h - 1. Let a(w) = 12*w + 18. Let q(u) = t*a(u) - 12*k(u). Differentiate q(d) with respect to d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 5*i**4 + i**4)*(9*i + 8 - 8).\nAnswer: -54*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223691046?\nAnswer: 2, 3, 4733, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*h - 30. Let w(i) = i**3 + 5*i**2 - 8*i - 3. Let t be w(h). What is the greatest common divisor of 63 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 1. Calculate y(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 2*p**4 + 4*p**2 + 0*p**3 - 2 - p**3 - 3*p**4 - 3*p - 3*p**2 to the form r*p**4 + h*p**3 + k*p + c + b*p**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -54?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - 3*n**4 - 2*n**4 + (0*n - n**3 + 0*n)*(-3*n + 0*n + 4*n) - 2*n**4 - n**3 + n**3)*(0 + 0 + n) + 2*n**5 + 4*n**5 - n**5.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -61, 5 in ascending order.\nAnswer: -61, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 1606057?\nAnswer: -1606052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 7*y**2 - 3*y - 12. Suppose 2*t - 26 = -6. Let s(v) = v**3 - 11*v**2 + 10*v - 7. Let j be s(t). Let c be w(j). Solve -z + 4*z - c = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 5. Let q be c(-7). Let h(t) = t**3 + t + 1. Let w(f) = -f**2 + 3. Let v(o) = -2*h(o) + w(o). What is the units digit of v(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 164 = 4*u - 53, -89 = -2*u - 5*n. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 23072588 - 23072588.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m = -4*g + 149072, 2*g - 2*m - 74538 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 9 - (43 + -12 + -1 + 15)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d + 5 = -4*z, 4*z = 4. Suppose -12 = -d*a - 4*i, 2*a + 1 - 9 = 3*i. Put 5, 1, a in increasing order.\nAnswer: 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115210 and 492?\nAnswer: 691260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(18) + sqrt(2) + 3) + -2 + sqrt(128)*2)**2 + -3)*3 + 3.\nAnswer: 120*sqrt(2) + 2397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 + -17000?\nAnswer: -16674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7*s + 192 = 0. Let a = -130 + s. What are the prime factors of -2 - -4 - (-1 + a)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1023*o - 1004*o - 478116. Does 233 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:07 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 17. Suppose z - 2*n = -0*n, -18 = -z - o*n. Solve 2*j = -0 + z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3107, -6120, -9133?\n\"Answer: -3013*j - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*i - i - 12 = 0, 4*x - 18 = -2*i. Suppose 3*q + 10 = l, -23 = q + 3*l - x. Calculate the common denominator of (-2)\/q - 284\/40 and 53\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101101 - -100110100000111?\nAnswer: 100111011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y, 0 = 5*r + 3*y - 0 - 10. Factor -5\/2*d**2 + r*d**3 + 0 + d - 1\/2*d**4.\nAnswer: -d*(d - 2)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.186429 rounded to 2 dps?\nAnswer: 25.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 6:21 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47638 minus -512867?\nAnswer: 465229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 5:35 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*k - 116*k - 35 = 4*l, 2*k = -2*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 133*v**2 + 17*v - 4. Let a be i(4). Let c = a + -933. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22215 to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2 = -10. Let n be (-12)\/t + (9 - 1). Solve 3*v + n*s + 7 + 1 = 0, -v + 2*s + 14 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8 = -b, -5*a - 10*b + 11*b + 13 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -884592, -884594, -884596, -884598, -884600, -884602?\nAnswer: -884604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -114*y + 98*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 102*x. Let j(h) = 2*h**2. What is j(l(i))?\nAnswer: 2*i**4 + 408*i**3 + 20808*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33993 take away -7?\nAnswer: 34000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*c - 1, 4 + 0 = 4*c. Let h(w) = -w**2 + 7*w - 7. Let v be h(4). Solve -v*l - b = -11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87286.\nAnswer: 2, 19, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251465.\nAnswer: 5, 19, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -6*d**5 + 33*d**4\/2 + 177*d**3\/2 - 51*d**2 - 258*d - 60 = 0.\nAnswer: -2, -1\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3916.802ml?\nAnswer: 3.916802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(931)*-6 - (4 + 2*sqrt(1900) + sqrt(1900))) + ((sqrt(95) - (sqrt(95) - sqrt(95)*1*1))\/sqrt(5) - (sqrt(76)\/sqrt(36) + 2)**2).\nAnswer: -91\/9 + 161*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -249201230 - 1.\nAnswer: -249201231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1451962 is divided by 1852?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*s + 15, -5*k + 87254*s - 87258*s = -15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 0.1073, -8, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 7)*6\/4. Let s(b) = -3*b + 4*b + 4*b**m - 1 + b + 0*b - b**2. Let w = 4 + -3. Give s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -17*f + 243. Let t be y(11). Calculate the highest common divisor of 49 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37810 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j - 4*j. Let p = j + 10. Suppose 4*t = -4*g - 8, -2*t + p - 7 = 3*g. Solve -x = 2 - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 12*r**2 - 2*r + 15 - 2*r**2 - 8*r - 5*r. Let o(v) = 5*v**2 + 5*v - 5. Determine 4*k(g) + 11*o(g).\nAnswer: -g**2 - g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + 0*s**2 + 0*s**2 + (3 + 2 - 6)*(-3*s**4 + 2*s**4 + 0*s**4) + (s**3 + 0*s**3 - 3*s**3)*(-s - 2 + 2) + 0*s**4 - 6*s**4 - s**4.\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43327 and 0.\nAnswer: 43327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -9 (c) 5 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2919 and 71\/5004.\nAnswer: 35028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + h + 13, 25 = -4*h - h. What is the highest common factor of 28 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 517\/4 + -259\/2. What is the biggest value in i, 1\/4, -3, 2\/13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:24 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.58 - -0.77. Let k = 0.15 + o. Let p = k - 4. Sort -1\/4, p, -1\/6.\nAnswer: -1\/4, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4680914951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 26*d**2 + 160*d + 153. What is p(16)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1) + 113 + -2. Suppose -16*s + 18*s - d = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43 - 49 - (-41)\/7. Which is the closest to -0.1? (a) v (b) 0.18 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -3*n**2\/2 + 23*n + 1. What is the derivative of o(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 + 60*c**3 - 140*c**2 + 0*c**4 - 43084 + 43228 + c**4 - 60*c = 0. Calculate c.\nAnswer: -1, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-3996)\/(-4440)). Let d(b) be the first derivative of -o*b**3 + 0*b**2 + 47*b + 41. Differentiate d(y) with respect to y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333001 - -200000?\nAnswer: -133001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150060 is divided by 9519?\nAnswer: 7275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3050 + -3046. Which is the nearest to p? (a) 1\/3 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -376, -450, -550, -682?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/3 + 1\/3. Let z be 4 + (-40)\/16 + 4\/(-3). What is the second smallest value in -11\/5, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2469*q + 1364 = 1235*q + 1278*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21348 divided by 2.\nAnswer: -10674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:29 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 + 52*f - 456 = 0. What is f?\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - v - 1904. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931310 divided by 135?\nAnswer: 14306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-74)\/(-74))\/((-41)\/(-2)))\/((-34)\/((-340)\/(-50)))?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**27\/(v**30*v) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 27*q - 121. Let x be v(4). Calculate the greatest common divisor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.5 + 5. Let u = -4197 + 4201. What is the third biggest value in a, u, -4\/123?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110922 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1274.75964 seconds to weeks.\nAnswer: 0.0021077375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 28\/(-12)) + 3244\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*p - 18211332 - 15988656, 34200015 = -2*a - 5*p. Round a to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/598 + (-2004)\/15364?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 16*r - 115 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + 0 + (sqrt(17) - (-1 + sqrt(17))) + 1 + (1 + sqrt(2448) - -3*sqrt(68)) + (-3 + sqrt(153) + 0 - ((1 + sqrt(153))*-3 + sqrt(153))))**2.\nAnswer: 112*sqrt(17) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 0 - 2\/(-2). Let x(f) = -f**3 - 8*f**2 + 17*f - 23. Let u be x(-10). Solve -5*v - 9 + 4 = -5*k, -u = -5*v + z*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167875\/35838 + 4\/1629. Let o = -2\/87557 - -9718867\/1751140. What is the common denominator of w and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k**3 - 4*k. Let b(l) = 15*l**3 + 5*l. Give 2*b(m) + 3*v(m).\nAnswer: -12*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4020\/751 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -182205 (base 16) in base 8?\nAnswer: -6021005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2734, -2709, -2660, -2587, -2490, -2369?\n\"Answer: 12*l**2 - 11*l - 2735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(264))\/sqrt(8))\/((-1*sqrt(88))\/sqrt(8))*2.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, m: 8}. What is prob of picking 3 i?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6630 and 902265.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108808 and 102916824?\nAnswer: 720417768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12236, -919\/4, -0.3 in descending order.\nAnswer: 12236, -0.3, -919\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*y**2 + 41*y**2 - 19708*y**3 - 7544*y**3.\nAnswer: -27252*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose 4*w = h*r, 2*r - 3 = -w - 16. Let v(s) be the first derivative of s**4\/4 + 2*s**3 + 3*s**2 + s - 5. Determine v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4780334?\nAnswer: 2, 13, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3668 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.54298 centuries?\nAnswer: 4251.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*s = 4*j + 3, 0 = -j - 4*s + 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3)*g*g**(4\/5)*((g\/g**(-2))\/g)**(2\/49) assuming g is positive.\nAnswer: g**(-274\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12330 (base 4) to base 16\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 29092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1200 - 1195. Suppose 0 = 4*n - 2*n + 6. What is the nearest to -1 in n, 2\/7, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 164634, 164631, 164624, 164613, 164598, 164579?\n\"Answer: -2*z**2 + 3*z + 164633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u + 9 + 69*u - 9 - 77*u - 1.\nAnswer: 26*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 3*w**2\/2 + 14. Let k(i) be the first derivative of 5*i**3\/3 - 2. Calculate d(k(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 105 = -14*p - 0*p. Which is the second smallest value? (a) -270 (b) -2 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7602, -5509, -2028, 2841, 9098, 16743?\nAnswer: 25776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13641150.64 to the nearest 10000.\nAnswer: 13640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.74 in -2, 1\/5, -4, -0.1, -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z + 219. Is w(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-3))\/(1\/5). Let n(z) = -2*z - 7. Let y be n(r). Suppose -y*o - 14 = -4*o. What is the remainder when 26 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3756 - 8273?\nAnswer: -13140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 8*i - 7*i - 8*i - 486 + 486 + (2*i - 7*i + 3*i)*(0 + 3 - 5) + 2*i + i - 5*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/2 + 5\/10. Let t(i) = -5*i + 2. Let r be t(1). Let n be (2\/(-3))\/(2 - u\/r). Is n greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237.31 - -236. Let d = 15.91 + f. Let l = d + -15. Which is the second smallest value? (a) 2\/3 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**7\/120 + 7*v**6\/360 + v**3 - 9*v. Let x(n) be the second derivative of o(n). Find the third derivative of x(z) wrt z.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 498111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**4\/6 + q. Let r(b) be the second derivative of -1\/12*b**4 + 0*b**2 + b + 0*b**3 + 0. What is r(p(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24243.6 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85a + -3746?\nAnswer: -44a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/128 and 43\/144.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 19. Let v be a(0). Suppose -5*k + 4*k + v = 4*d, 0 = -5*d + 20. Suppose k*m - 13 = -z - 0, -2*m = 4*z - 42. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 + 36*t**4 - 172*t**3 + 96*t**2 + 170*t - 132 = 0. Calculate t.\nAnswer: -22, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 32. Solve -2*d - y = -10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/7 + 18*u**2\/7 + 440*u\/7.\nAnswer: -2*u*(u - 20)*(u + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r**(2\/5)*r))**45*r**5*r**(1\/4))**(2\/11))**(2\/55) assuming r is positive.\nAnswer: r**(-411\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53137, -3, 0, -4, 5, 4 in increasing order.\nAnswer: -53137, -4, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, n: 4, c: 5}. What is prob of sequence ncdn?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 8*y**2 - 7*y + 6. Suppose -4*v = i + 32, -4*v = -4*i - 0*i + 12. Give z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 - 6*q**4 - 21*q**3 + 60*q**2 - 36*q.\nAnswer: 3*q*(q - 2)**2*(q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -164*s + 43*s + 5324, 132 = 3*s - 57*j + 56*j for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*h**4 + 351*h**3 - 1641*h**2 - 5184*h - 1188 = 0. Calculate h.\nAnswer: -33, -2, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12294740111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:12 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5131696 to the power of 1\/2, to the nearest integer?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 65 = -4*a. Suppose 3*u - 3*c - a = -2*c, -2*u - 5*c + 3 = 0. Let x(y) = 3 - y**2 - 37*y + 73*y - 35*y. What is x(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -14, -33, -60, -95?\n\"Answer: -4*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 27*c**2 + c. Let z be q(1). Suppose 3*l - z + 8 = 4*y, -l + 6 = -y. Let r(a) = a**2 + 4 - 11 + l - 8*a. Determine r(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*5*-4)\/(((sqrt(88) + sqrt(88)*-2)*1)\/((sqrt(432) - sqrt(48))\/sqrt(6))).\nAnswer: 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 1 - 1)*(-i**2 + i**2 + i**2)*(64 + 24*i - 64).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374932.7mg to tonnes.\nAnswer: 0.0003749327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3587906498.\nAnswer: 2, 11, 43, 919, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -542441 (base 6) to base 16\nAnswer: -ae79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66690 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:40 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-123)*5\/((-30)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 746?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:57 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485994065.\nAnswer: 5, 19, 5115727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z - z)*(-1 + 7 - 2) - 1 + 1 - z + (2*z + 3*z - 7*z)*(-5 - 1 + 4).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + d. Let s(f) = 2*f**2 + 6*f. Let m = 196 + -74. Let l(q) = -6*q**2 + 10*q + 20. Let o be l(-4). Let h = o + m. Give h*b(y) - s(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Find j such that -j**3 + 2*j**2 - 2*j - p - j**4 + 3*j + j**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h*h*h**(2\/19)*h)\/h*h*h)**(9\/8) assuming h is positive.\nAnswer: h**(261\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + ((-18)\/42)\/((-5)\/770).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7177 + 7176.9. What is the second smallest value in 141, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(240)\/sqrt(5).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30, -48, -66, -84, -102, -120?\n\"Answer: -18*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 11*s - 17. Let u be s*(-12)\/(-18)*-1. Suppose 0 = 5*j - 0*z - z - 6, 3*j + 5*z - 26 = 0. Put 0, j, u in decreasing order.\nAnswer: j, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**3\/3 + 9*k**2\/2 - 5*k - 1. Let b be t(8). Let m(o) = -2*o - 1. Determine m(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -6. Let d(r) = -r**2 + 3*r - 2 + 3 + i. Let z(j) = -4*j**2 + 13*j + 13. What is 26*d(c) - 6*z(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**3 + 6*t**2 - 3*t + 16. Let a(g) = -3*g**3 + 2*g**2 - g + 5. Give -7*a(w) + 2*c(w).\nAnswer: 5*w**3 - 2*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1739 - 1477. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639668.261 rounded to the nearest one hundred?\nAnswer: 639700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighteen sevenths of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:22 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 131 (c) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 116898 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -337, -1295, -2895, -5143, -8045?\n\"Answer: -f**3 - 315*f**2 - 6*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7592253 millennia to months.\nAnswer: 9110.7036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3048528 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2105122 to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 4, 28, 86, 190, 352, 584, 898?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3218 and -62.8?\nAnswer: 3280.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-292)\/(-25))\/(-4) - -3. Suppose f - 5 = -0*f, 5 = -4*y + f. Is o not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 126. Suppose -6*m + 5*m + l = 0. Let g = 4 + -2. Solve -3*q - s = m*s + 24, -g*q = s + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4722, 5960, 7220, 8514, 9854?\nAnswer: 11252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/(-3))\/(-7)*2)\/((-4970)\/21300).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 + 2*v + 5. Let o be t(5). Let x = -43 + 44. Let n be (-1)\/(0 - x\/o). What is the highest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-22))\/((-9)\/(-12)). Calculate the greatest common divisor of 24 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.7328 + -2.7338. Let x = 7.8 + 11.2. Let w = x - z. Round w to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5516?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 + 5501*a**3 - 15724884*a**2\/5 + 2969567536*a\/5 - 186509298368\/5.\nAnswer: (a - 188)**3*(a + 28069)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-175 - -178 - (-12 - 0)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 270*m - 559*m - 188*m - 2.\nAnswer: -477*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(33) - (sqrt(528) + -1*sqrt(528)))*3)\/((-4*sqrt(110)*-3)\/sqrt(10)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + k)*(6 - 1 - 3) - k + 0 + 0 - 49 + 2980*k + 2 - 3010*k to s + y*k and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r - 170 = 390 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -297?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:17 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.44768 millilitres to litres.\nAnswer: 0.07544768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724*m + 412*m + 8768760 = 0. What are the prime factors of m?\nAnswer: 5, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 6*n**2 - 3*n + 3. Let q be x(3). Let w be (-1 - -4)*(-28)\/21. Let l be 22\/w - (2 + -2). Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -591 - -588. What is the nearest to -0.62 in -0.4, 1\/4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.3 + 9. Let u = 1.2 - w. What is the smallest value in -3, -1\/5, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -696 + 226. Is (-7 + z\/4)*(-1 - 1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 3944*n**3 + 4222477*n**2 + 642560886*n - 1302043248 = 0. Calculate n.\nAnswer: -1881, -184, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 149 = 5*i, 1511 = 6*i + 2*k + 1691 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l**2 - 875*l + 193. Let t(r) = -4*r**2 + 292*r - 64. Let h(q) = -2*a(q) - 7*t(q). What is the derivative of h(x) wrt x?\nAnswer: -4*x - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -11 (b) -15 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 999\/88, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0\/a**(2\/11))\/(((a\/(a\/a**1))\/a)\/a)**(1\/21))\/((a**0*a*a\/a**(-4))\/(a**(-1\/7)*a**3)) assuming a is positive.\nAnswer: a**(-757\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-134)\/(-18) - 8)*2\/(-5). Let m = 96 - 771\/8. Which is the nearest to -4? (a) y (b) m (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/8))**(-31\/2)\/(h*h**2)**(-17) assuming h is positive.\nAnswer: h**(599\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3635.\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107, 535, 1269, 2327, 3727, 5487, 7625?\n\"Answer: 3*t**3 + 135*t**2 + 2*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -219, -126, 3, 168?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(117)*2 - sqrt(117))\/sqrt(9).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 35145216*a + 308796551921664.\nAnswer: (a - 17572608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*q + 5. Let j be q - 35\/(-30)*3. Which is the third smallest value? (a) -3 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 649309\/35 + -18550. Find the common denominator of 82\/45 and d.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 32 - 14 = 0. What is the first derivative of -2 - 7 - z - 13 - 2*l**2 wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Solve 2*a + 0 = l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*x - 31 = -0*x, -s + 9 = -3*x. Let o(p) = -p**3 - 5*p**2 - 2*p + 7. Is o(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 4:45 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 9*k**2 - 13*k + 20. Let a be l(8). Let j be (a\/(-8))\/(15\/36). Solve 3*d - 2 = j*d + 2*n, 5*d + 5*n + 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-188.7\nAnswer: 754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91088085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4\/(-50)*-10)*(-14)\/(-35)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1418112 and -61\/88632?\nAnswer: 1418112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 394120345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570\/(-1596)*(-15)\/25.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327713913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/7)*w)\/w)**(-12\/5)*w\/w**(-6)*(w*w*w**(-2\/3)\/w)\/w assuming w is positive.\nAnswer: w**(341\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0736 - -5.0736. What is the biggest value in -5, z, -1\/9, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 753125754 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -21 - (191 + -240)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpqqqvvqpqppqvlzvq. What is prob of sequence zl?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.44 - -1.4. Let k = -0.06 + j. What is the closest to 0.1 in 2, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201102 + 102?\nAnswer: 201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 218c3 (base 16) in base 11?\nAnswer: 9426a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*d - 76*d + 2*q - 4116 = 0, 4*d - 4*q = 8248. Is 87 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - ((-214)\/72 - (-8)\/36). Let w = -13 - -1. Let l = 17 + w. What is the nearest to 1 in 0.2, o, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 8*q - 19*q)*(-85 + 219 - 74)*(3 - 6 + 2).\nAnswer: 1080*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*l, -3*l - 2*q - 5 = 2*l. Let f be 4\/8 - l\/2. Suppose -20*z - 1063 = -1503. What is the greatest common factor of f and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1669582557 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbxx when four letters picked without replacement from {b: 2, g: 2, x: 4, y: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200559, 200507, 200421, 200301, 200147, 199959, 199737?\nAnswer: 199481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 14. Let x be o(-4). Suppose -3*u - 9 + 28 = 5*v, -4*v + 17 = 3*u. Solve 3*z + 4 = a, a = 5*a + x*z - v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*u = -3*u + 463, 2*u - 6 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -11577921\nAnswer: -8104544.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(46\/(-2)*1). Suppose 17 - 7 = 5*v. Let f be (-1)\/v*(-11 + 9). Which is smaller: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.7.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uucuuuucucuuuuucuuuu.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 + 53 = 13*a. What is the least common multiple of 48 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 1 - (38 - (-8 - -12))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 5)*(-10*i**2 + i**2 - 14*i**2)*(2*i**2 - i**2 - 5*i**2) as z*i**4 + n*i**3 + j*i**2 + o*i + t and give z.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*h + 2*i, i = -5*h + 26 + 17. Let j be h\/12 - 76\/6. Let f(o) = -o**3 - 13*o**2 - 16*o - 16. What is the tens digit of f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**2 + 3*w**2 - 3*w**2.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001206 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 612 by 153.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/((g*g**(2\/21))\/g*g)))\/g)\/g**(-7))\/((g*(g\/g**(-11))\/g)\/(((g\/g**(-7))\/g)\/g)) assuming g is positive.\nAnswer: g**(23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.39 or -1\/2?\nAnswer: -7.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 3*v + 3, 4*v + 8 = 2*p. Let h be 6 - p - 18\/(-4). Let r = -2.5 - -2. Which is the nearest to 0.2? (a) h (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6 + 42*r - 43*r + 0. Determine j(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729212836?\nAnswer: 2, 11, 197, 84127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 19. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/877 + 1768\/6139. Which is the nearest to m? (a) -2\/19 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 7*l - 9. List the prime factors of w(-20).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3166992137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -555.88809\nAnswer: 555.88809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13b - -adc?\nAnswer: c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - c)*(-18*c**3 + 15*c**4 + 12*c**4 - 25*c**4).\nAnswer: 4*c**5 - 36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*h**3 - 24*h - 10*h - 20*h + 8*h wrt h?\nAnswer: -126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22309793 divided by -1199.\nAnswer: 18607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562339806 to the nearest integer?\nAnswer: 23714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*v - 614*v - 1206*v + (-3 + 3 - 2)*(0*v - 3*v + 2*v)*(2 + 4 - 4))*(0*v + 3*v - 2*v).\nAnswer: -1661*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40183\/259 + -1348\/37. Let t be (-716)\/6 - (-1)\/3. Let j = b + t. Which is greater: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -379 - -2953\/8. Find the common denominator of q and 19\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 17. Let u be i(9). Let m = u - -2. What is the units digit of 10\/25*25*m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h. Let j(z) = -23*z - 7. Give 5*g(f) + j(f).\nAnswer: -8*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8443.446 nanograms to micrograms.\nAnswer: 8.443446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - 3.02. Let w = 3.3 + p. Put 5, -0.2, w in descending order.\nAnswer: 5, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 21 + 21 = -2*v, 4*n + 4*v = -36. Let m = 16 + n. Solve 8 = -4*p - 5*q, -2*p + 3*q = 2*p + m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 337076?\nAnswer: 337075.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 24*j - 18. Let b be q(-18). Calculate the greatest common factor of 22 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 878, 1318, 1760, 2204, 2650, 3098?\nAnswer: 3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 54074.\nAnswer: 54070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 5*m - 50, 2*s + 3*m + 99 = 144 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 6*j + 5. Let y be a(5). Suppose -5*p + 15 = k, p = -k - y + 3. What is the highest common divisor of p and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 652 and 16330.\nAnswer: 5323580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/3*(1 - 4). Let p(d) be the second derivative of 1\/10*d**6 - 3\/2*d**2 + 0*d**4 + 0*d**h + 0 + 0*d**3 - 3*d. Differentiate p(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 4:43 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1130 and 0.0379.\nAnswer: 42.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001211111 - -2?\nAnswer: -1001211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6543757\/4 or -1635940?\nAnswer: -1635940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 0*z)*(-z**3 + z**3 - 2*z**3) - 35*z**4 - 437*z**2 + 437*z**2 + 0*z**4 + 0*z**4 + 3*z**4 - 4*z**4 + 3*z - 3*z.\nAnswer: -34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/(195\/(-165)) - 6*1 - -7395.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336 + -339.28. Round l to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1923571985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 7 - ((-4 - -6) + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 237 * 0.3.\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 749042 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from {d: 1, h: 2, m: 1, j: 2, x: 1, t: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -53*b**2 + 3. Let x be ((-28)\/(-16))\/((-3)\/(-4)) + (-2)\/6. Let n(f) = 52*f**2 - 2. Calculate x*v(s) + 3*n(s).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y**3 + y)*(-2*y + 3*y + y) - y**4 + 3*y**4 + 88*y**4 + y**3 - y**4 - y**3 + (2*y - 5*y + y)*(-2*y**3 - 1 + 1) + 0*y**4 + 2*y**4 - y**4.\nAnswer: 96*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -612, -1240, -2118, -3246, -4624?\nAnswer: -6252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1689764221\/276010 - -340\/27601. Let a be 15\/(-25) - 30652\/5. Let f = a - h. Calculate the common denominator of f and -62\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -133.8 from 6887.\nAnswer: 7020.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -870578? (a) 2 (b) 0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 39 - 2*a + 52 - 16.\nAnswer: -2*a - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 13*z - 1004 + 1052 = 0, -z + 60 = 16*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 250*x**3 + 5*x. Let h(a) = -3874*a**3 - 78*a. Calculate -5*h(y) - 78*w(y).\nAnswer: -130*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2967507651.\nAnswer: 3, 989169217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -18. Let d = 39.98 + f. Which is the nearest to -0.1? (a) -0.4 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 25 = -5*k, -25*r + 6*k - 60 = -29*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/(v**(-3\/2)*v)))\/v)\/(v\/(v**(2\/19)\/v)))\/(v**(-2\/25))**13)**(-1) assuming v is positive.\nAnswer: v**(2237\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -1, -10\/7, -24.\nAnswer: -35, -24, -10\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.334508815 rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - c + 4 - 29 = 0, -28 = 2*j + 4*c. Sort 5, j, -3 in increasing order.\nAnswer: j, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(7*1\/77) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.927924ug?\nAnswer: 0.000927924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 times 612.93?\nAnswer: 53324.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*r - 132408 = 0, -3*b - 10*r = -8*r - 99307. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 5*c + 2312. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1710, -6258, -13616, -23790, -36786, -52610, -71268, -92766?\nAnswer: -117110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.973 - 0.027. What is the closest to -1 in m, -0.7, 0.3, -2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from snbrsrbnrbrwrrnrrh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**2 - 4*m - 5. Let b(d) = -d**3 - 5*d**2 - 5*d - 7. Give -2*b(t) + 3*i(t).\nAnswer: 2*t**3 - 5*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90683.41 decades in years?\nAnswer: 906834.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 29*i**2 - 30*i + 11. Let d be r(-30). Which is smaller: 21\/2 or d?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 5, -58, -4\/65, 0.\nAnswer: -58, -3\/2, -4\/65, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2222907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 35\/13, 6, 1 in decreasing order.\nAnswer: 6, 35\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 + (-8 - -5) - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59383808807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(17\/5)\/j*j**(1\/6) assuming j is positive.\nAnswer: j**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 - 233263*g**3 + 1166353*g**2 + 3032491*g + 1632876 = 0. What is g?\nAnswer: -233268, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45429 is divided by 103.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-15)\/(-14) + 1\/2. Let y = -1.25 - -1.05. Sort y, g, 4, 0.5.\nAnswer: y, 0.5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83274990 and 121706.\nAnswer: 1082574870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:55 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3592768005?\nAnswer: 3, 5, 79839289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 737916 and -0.05.\nAnswer: -36895.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {o: 2, p: 1, m: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*k - 10*k + 101*k + 418 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1710 = -2*j + 1720 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1379318 and 4.\nAnswer: -1379314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6491156686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z - z**2 - 1\/24*z**4 + 0 - 2\/3*z**3. Let j be v(-7). Solve y + 0 = j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 34360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108612 and 182518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - -5*sqrt(3)*1 - (sqrt(108) + -1 + sqrt(108)).\nAnswer: -6*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 84898495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:09 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910628 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000720896231 rounded to 6 dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 7 + -2 + 0 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184250980?\nAnswer: 2, 5, 19, 31, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*m*t - 3*m + 15*t + 95 wrt t.\nAnswer: -54*m + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 941, 934, 927, 920?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-112)*(20 + (-3408)\/171)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9612\/(-204) + 4\/34. Let k = 54 + r. Let a(p) = -10*p**2 + k*p**2 + 2*p + 4*p**2 + 3*p. What is a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 2. Let m(j) be the second derivative of j**6\/180 - j**5\/40 - j**4\/3 - j. Let k(u) be the third derivative of m(u). Give -2*k(x) + 3*o(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9*(-350 + -4). Suppose -4*s = 4*q - l, 287 = 5*q + 2*s - 2. Calculate the remainder when q is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6476472*x**4 - x**3 - 76584520*x**2.\nAnswer: -155435328*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 35*q = -16499. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/6 + a - 18. Let m(f) = -63*f - 2. Determine m(b(r)).\nAnswer: -63*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-2)\/3*(-18)\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 17. Let l(w) = w**3 + 9*w**2 + 5*w + 4. Let m = -4 + -4. Calculate the remainder when l(m) is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35397 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t + 0*t + (3*t + 0*t - 2*t)*(1 + 1 + 1) - 5*t + 3*t + 4*t)*(0*t**2 - t**2 - t**2 + 2*t**3).\nAnswer: 22*t**4 - 22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 32 = 5*f, 726*y + 3 = 727*y. What is the third smallest value in f, -5, -3, 22, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5760900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*d - 6, 0*t + 2*t - 2*d + 4 = 0. Let x = -8 - -8.5. Let n be (10\/3 + -2)\/(-2). What is the closest to t in x, n, -1\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -466, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6752082*f*o**2 + f + 110341 with respect to o.\nAnswer: -13504164*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-12\/11))\/((t\/((t*t*t**37)\/t))\/t))**(12\/7))**(5\/2) assuming t is positive.\nAnswer: t**(1890\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40965, 40959, 40937, 40899, 40845, 40775?\nAnswer: 40689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 492 = 4*j, -47*j = -46*j + 4*k - 137. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -51 = 173908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a4e62a + 0?\nAnswer: -a4e62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + (-2 - (4 - 5)). Is -9 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 231.03?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0484 and -100698874.\nAnswer: -100698874.0484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4\/3, -2\/11, 37, -1, -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 918 and 919 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3484 + -3047.2. Let v = 374 - j. Round v to 0 decimal places.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 7002870.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 3*y. Let f be 4 - ((-2 - 2) + 3). Suppose c - 6*b = -3*b - f, c + 11 = 5*b. Determine d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 71, 176, 333, 548, 827, 1176, 1601?\nAnswer: 2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1083\/940 - -221\/47. Calculate the common denominator of -121\/108 and h.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*8\/(-6). Suppose -z - b*z = 6. Let n = z + 41. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49198 is divided by 1404?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 280 - 283. Suppose 5*s - 11 = -3*x, 0 = -2*s - 3*x - 2*x - 7. What is the biggest value in 10, 1, b, s?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774617622?\nAnswer: 2, 7, 163, 367, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 13*t - 32. Let k be q(-6). Calculate the smallest common multiple of 128 and (-6)\/10 - (-86)\/k*1.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 947 = -3*r, -5*y + 1222 = 3*r + 225. Suppose r = -41*k + 45*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29721 is divided by 147.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 895 - 3505 = 0. Round i to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 350920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from fmekumkfmkmffkxkkkmu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40.09 - -40.09. What is the closest to c in 1\/4, 4, 18, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -0*z - 60. What is the least common multiple of z and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(44) + sqrt(44) + (sqrt(308) + -1*sqrt(308))\/sqrt(7) + -2*(sqrt(396) + sqrt(44)))\/(sqrt(196) - 2*sqrt(196)*-5 - sqrt(196)))**2.\nAnswer: -7128\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 606295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*t + 47519, 5*j + 5460 = 3*t + 84656. List the prime factors of j.\nAnswer: 5, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*d - 12 = -230*d. Suppose 5*z - d*b = 13, -7*b + 7 = -z - 3*b. Let o(n) = 5*n - 2. Determine o(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 21 = -3*g. Let k(w) = w + 7. Let o be k(g). Solve -5*d + o = 5*a, a + 2 = d + 3*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + (-3 - 1) + 4 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-14)*(-20)\/42.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28410 < 28800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3134242 (base 5) in base 6?\nAnswer: -1042451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*o = 3*y + 12, -y + 4*o - 12 = 0. Suppose 23*v + 16 = 19*v + y*g, 5*v + 8 = 2*g. Suppose -4*k - 3*w = 24, -3*w - 2*w - 20 = 0. Sort -2, 1, v, k.\nAnswer: k, -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 3 + (-15 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12.2. Let k = 0.1 + -0.8. Let q = k - v. Which is the nearest to 2\/3? (a) 1 (b) q (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -68. Suppose -4*l + 7 = -m. Suppose -20 - 16 = -l*x. Calculate the remainder when 16 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263800 + -263798.390087. Let h = -1.61 + r. What is h rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3900261 is divided by 557180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/21 + 54*p**3\/7 - 4946*p**2\/3 - 158790*p\/7 + 51900 = 0. Calculate p.\nAnswer: -173, -15, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*26.\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62430031 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 - 5*k**4 + 3*k**4)*(0 + 2 - 1) + (k**2 - 3*k**2 + 3*k**2)*(-5*k**2 + 0*k**2 + 4*k**2).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/5)\/i**(-6))**8 assuming i is positive.\nAnswer: i**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4550 - 4497. Calculate the remainder when 271 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (5 + 3 + -6). Suppose 5*i - 2*k + 0 = 5, b*i = -k - 8. Let p = 38 - 192\/5. Is p != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-2)**2 - (1 + sqrt(63))**2.\nAnswer: -6*sqrt(7) + 944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002256035515 rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -45. What is the remainder when u is divided by ((-1)\/(-2))\/((-5)\/(-180))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -84 (b) -20 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.532595328 and -42.\nAnswer: -36.467404672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 12*d**2 + 20*d - 6. What is b(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 8*o**2 + 10*o - 4. Let l be r(9). Let k be (l\/15)\/(2\/(-30)). Let u be (k + 5)*(-1)\/(-3). Solve u*i = i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/25, 2\/935, 0, 5, -0.1, -3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - ((-1579)\/3 - 3). Let f(q) = 0*q + q + 528 - o. Calculate f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99017 is divided by 8195?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 52. Let w = 41 + a. Suppose 2*v - 4 = w, -54 = l + 4*v + 208. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u. Let r(o) = -4*o**2 - 4. Suppose -5*y - 15 = 3*x - 2*y, 0 = -5*x - 3*y - 25. Let v(s) = 4*s**2 + 5. Let q(m) = x*r(m) - 4*v(m). What is i(q(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 8:58 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 9. Let z = 13 + j. Solve -z*m + l = 0, 2*m + l + 0 = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-11)*24\/16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 924893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -10*i**6\/3 - 4*i**3 + 5. Find the third derivative of q(m) wrt m.\nAnswer: -1200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwewweswwwwlwws. Give prob of picking 1 e and 1 w.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, q: 1, v: 2, o: 1, b: 4}. What is prob of sequence jbbo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a40b (base 12) to base 5.\nAnswer: 3344324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2442329921 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(90) - (1*sqrt(90) - sqrt(90))))\/(sqrt(25)\/(sqrt(5) - sqrt(80))))\/((-1*sqrt(36)*-2 - sqrt(36))\/(sqrt(4) - sqrt(400)*-2)).\nAnswer: -378*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 53*b**2 - 12*b + 17. Is g(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69, 474, 1581, 3744, 7317?\n\"Answer: 59*n**3 - 3*n**2 + n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 74 + 21*r**2 + 34 as x*r**2 + a*r + m and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 13) to base 3\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1304?\nAnswer: -3\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q + 1. Let u(l) = 1556*l**2 - 937*l + 6. Let i(g) = -6*d(g) + u(g). What is the second derivative of i(s) wrt s?\nAnswer: 3100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -30, -97, -214, -393?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183083680 a multiple of 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 2*c)*(7 - 4 + 5).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(432) + 0 + (sqrt(432)*2*-5 - (sqrt(432) + (sqrt(432) - sqrt(432)*-1) + -1)) + 1)**2.\nAnswer: 288*sqrt(3) + 62209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*2*1)\/(-3*sqrt(8)\/sqrt(2)))\/(sqrt(3) + -1*sqrt(243) + 3*sqrt(243)).\nAnswer: -2*sqrt(17)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5924097 and -29\/1950320.\nAnswer: 473927760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 4 = 0. Let g be (p\/((-3)\/18))\/(-2). Is g less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -21*m**2 + 5*m + 2. Let j be l(-11). Let a = 88225\/34 + j. Calculate the common denominator of 31\/18 and a.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.291 + -0.301. Let l = d - -0.01. Let m = 7 - 9. What is the biggest value in m, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-12) + 5 + 8\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20428 divided by -1225?\nAnswer: -20428\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 28 - 8 - 4*s - 3 - 14. Give i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + 1 + -6 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -12 (c) 3 (d) 0.3 (e) -2.86 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-216 + 17*x + 216)*(6*x**4 + 30*x - 30*x - 2).\nAnswer: 102*x**5 - 34*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -10. Let u = 14 + i. Suppose c - 2 = z, -z = -0*c - 4*c + 23. Solve c*n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 6 - 34*z + 0*z**2 - 9 + 35*z - 2*z**2 - 21*z**3 to the form d*z**3 + a*z + x + w*z**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 9*f - 212*f**2 + 3*f.\nAnswer: -212*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 - 83. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 27*h**2 - 14*h - 9. Let g be c(-13). Suppose -g*n = -411 + 15. Is 101 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 + -126. Let j = k + -86. Suppose 4*f - 3*x = 2*f, j*f - 4*x - 7 = 0. Solve f*w = -w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14 = 5*i, 4*i + 26 = 3*x - 8. Suppose 0*p = -2*p + x. Let y(m) = 5*m - 2*m + m - p*m. Let n(q) = 2*q**2. What is y(n(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 6*t**2 - 6*t - 4. Let b be o(-5). Let g = 5 - 3. Let f = b + g. Solve -n = -3*s - 7, -6*s = -3*s + f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 29*a**2 - a + 26. Let p be l(29). Sort p, -15, 2 in descending order.\nAnswer: 2, p, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(1*(sqrt(204)*1)\/sqrt(12))**2.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.161796 - 0.14013. What is k rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0 in descending order.\nAnswer: 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3\/3 - u + 3. Let d(f) be the first derivative of x(f). Let s(z) = 2*z**2. Give d(s(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l)*(-509 - 651 + 345 - 736 + 218).\nAnswer: -2666*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 12*v + 7. Let s be a(-12). Suppose 6 = s*r - 8. Solve -r*q + 1 = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 + 29*f**2 + 29*f - 368. Give m(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 347 + -514. Let k = 177 + h. Put k, -4, -0.3 in ascending order.\nAnswer: -4, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 80*f - 1.\nAnswer: 80*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 5)*(-6)\/(-4). Suppose -p*x = -28 - 5. Calculate the lowest common multiple of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -577 (c) -25 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i - 9. Let o = 14 - 20. Suppose -24 - 9 = -3*h. Calculate the remainder when w(o) is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48.4911 litres?\nAnswer: 48491.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -39921956\nAnswer: -39921952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**9\/3024 - n**5\/20 - n**4\/24 + n**2. Let w(p) be the second derivative of z(p). Differentiate w(k) wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 197750 and 56500?\nAnswer: 395500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 2*s - 1. Let d be x(4). What are the prime factors of (-75)\/(-4)*(424\/24 - d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -0.03 (c) 3004\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5984)\/1584 - 4*(1 + -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13 = -3. Let x(h) = 5*h + 2. Let a(g) = 6*g + 69. What is the remainder when a(3) is divided by x(p)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -1.3. Let n = 0.52 + -0.02. Sort 0.2, n, z in increasing order.\nAnswer: z, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 12) to base 16\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - y**2 - 11*y - 24. Give f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 13 = -2*j, -3*j = w - 23 + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263 + 1308\/5. Is -2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 26, -13?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 = -7*k - 133 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/22 - 4*a**3\/33 - a**2 + 24*a\/11 + 37. Let l(v) = 0. What is v?\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 47, 112, 213, 356, 547?\n\"Answer: k**3 + 9*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 47, 139, 321, 623?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 168*u**2 + 67433*u - 14248. What is m(-357)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.3 times 0.4?\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5324973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -1\/3 (c) 3 (d) 4 (e) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 975945, 1951915, 2927885, 3903855, 4879825?\nAnswer: 5855795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*b + 20, -4*b + 25 = -0*s + 5*s. Suppose 8*u - 13*u = 2*d - 45163, 5*u - s*d = 45135. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -49. Suppose 21*v - f - 7 = 0. Put 2, -19, v in descending order.\nAnswer: 2, v, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9509, 9501, 9483, 9449, 9393, 9309, 9191, 9033?\n\"Answer: -k**3 + k**2 - 4*k + 9513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15295 = 437*v + 529*v - 301*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/4203 and (-12)\/10*(-23)\/69 - (-373)\/(-120).\nAnswer: 33624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984106 is divided by 3553.\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 + 0*k**2)*(-4 + 3*k + 4) - 2*k + k**3 + 2*k + (5*k**3 - 2*k**3 + 0*k**3)*(5 - 2 - 4) - k**2 + k**2 + k**3 - 2*k**3 - 4*k + 4*k.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3 + 30*s - 20*s as v*s + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608437?\nAnswer: 19, 31, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1304*j**4 - 3*j**2 - 1354115*j?\nAnswer: 15648*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, -3\/2, 5, 1, -0.3, 103 in decreasing order.\nAnswer: 103, 5, 1, -0.3, -3\/2, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51719 + 11463 = -2516*k for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1214)\/4)\/((-29)\/406) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223388 is divided by 537.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4226 (base 7) to base 16\nAnswer: 5d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, r: 1, t: 1}. Give prob of picking 1 t and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 5*q**4\/12 + q**3\/3 + q**2\/2 - 53*q - 2. Let t(x) = -14*x**2 - 7*x - 4. What is 2*t(l) + 7*w(l)?\nAnswer: 7*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 47 = 3*s. Let q be 9\/(-2) + 105\/70. Which is the third biggest value? (a) 0.1 (b) s (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 201\/9 - (-16)\/(-48). Solve p = -98*u + 95*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.18 and -374.647?\nAnswer: 374.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91051*m - 1303095 wrt m.\nAnswer: 91051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 (base 4) in base 12?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 34.69 (c) 0.02 (d) 4 (e) 1 (f) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*y**2 - 130*y**2 + 62*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - p + 4*k + 4*k - 7*k + 39 = 9*p, -3*k = 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 + 4*x + 7. Give r(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -108, -171, -234, -297?\n\"Answer: -63*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfqnnnanmnnfvff. Give prob of sequence nn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*v**2 - 8 + 556*v**2 + 10*v**3.\nAnswer: 10*v**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 + 6*b**2 - 26*b - 9. What is m(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 242, 384, 546, 734?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10130 - 0?\nAnswer: 10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -164000 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - 611 = -5*v, 631 = z - 5*v. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - (-54 + -32)) + -47.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6838727 is divided by 235818.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((63\/8)\/(-7))\/(4\/(-72)) and 23\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14)\/5)\/((-4)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 7080*n - 7976*n - 31.\nAnswer: -15056*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(575\/175)*(-1 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4753883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-165))\/((-8)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632686 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 267 and 342 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10 + 13 = 0. Let n be ((-7)\/(-14))\/(3 + -1). What is the nearest to c in -4, n, 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -455*b + 143. Let d(k) = 19*k - 6. Let f = -1069 + 926. Determine f*d(v) - 6*p(v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -602*i**2. Let x(w) = 23*w. What is x(c(r))?\nAnswer: -13846*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -4 - 2)*(-142)\/1. What is the units digit of (c\/(-15))\/((-3)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5424335?\nAnswer: 5, 7, 154981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Let o(u) = 3 + 3*u**2 - u - 2*u**b + 0*u**2 - u**3. Determine o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, -354, 0.4, -2 in decreasing order.\nAnswer: 0.4, -0.5, -2, -4, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20)\/(240\/188)*-9 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98463 at least 98452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from llkkkkkklkklllulkk.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**1\/w*w*w)\/w)**(6\/23)*w\/w**(-1\/3)*w*w**(-6))**(-11\/6))**(2\/29) assuming w is positive.\nAnswer: w**(2585\/6003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 13. Let q(h) = -4*h - 12. Let d(v) = 5*b(v) - 6*q(v). Let s = 0 - -10. Is 10 a factor of d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s. Let g(z) = -8*z + 7. Let x(c) = -7*c + 6. Let p(i) = -6*g(i) + 7*x(i). Give 2*b(q) + 7*p(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1\/82, -15, 1\/4 in decreasing order.\nAnswer: 1\/4, 1\/82, -1\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - 7. Let o(n) = -n**3 - 5*n**2 + 8. What is -4*o(s) - 5*p(s)?\nAnswer: 4*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/(-28000)*98)\/((-2)\/112)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 221*z**2 - z. Let l be y(2). Suppose -4*q + 1738 = -f, 2*q + f + 16 - l = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983221 to the power of 1\/2, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12423 + -0.07577. Which is the closest to 48? (a) 0.6 (b) t (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1 + 17 = 0. Let d(v) = -v - 3. Let g(w) = w + 1. Let c(x) = d(x) + 2*g(x). Let t(n) = -3*n + 3. Determine m*c(u) + 3*t(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3132)\/1450*(-175)\/70*1*5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159795654*j**4 + 682721602*j**2?\nAnswer: -3835095696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10041004 - -1?\nAnswer: 10041010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 788 divide 1273807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -8, -37, -82?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -140? (a) -0.5 (b) -5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -233799, -233798, -233797, -233796, -233795?\n\"Answer: a - 233800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.23061 decades to centuries.\nAnswer: 0.223061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 10:11 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2156 - 1121. Suppose j + u = 6*j. Suppose -2*k + 4*c = -7*k + 131, 5*k + c = 119. Calculate the greatest common divisor of j and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*p - 56, 5*k + 12 = 5*p + 167. Calculate the greatest common divisor of k and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 50*l**2 + 153*l - 313. Let t be i(-53). Sort 4, 1826, t in ascending order.\nAnswer: 4, t, 1826","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2 + 5*w - 1. Suppose 0 = 2*o + k - 11, 2 + 5 = o + k. Give s(o).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*o - 278*o + 728 = -268*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2940.0742 + -2938. Round z to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141112 (base 8) to base 10\nAnswer: 49738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*d**3 - 24*d**2 - 8*d + 47736 wrt d.\nAnswer: 51*d**2 - 48*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 25*t - 2. Let c = 11 + 1. Suppose 0 = -3*w - k + c, 0*w - 5*k = 3*w - 24. What are the prime factors of f(w)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (1 - 0)\/((-2)\/4). Suppose i + 3*p = 0, i = b*i + 4*p. Solve -3*l + 5*n = 12, i = -0*l + 3*l - 2*n + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*k + 17250 = -14988. Solve k = -16*q + 215 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 1, i: 2, b: 2, j: 2}. What is prob of sequence xb?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 19981867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13356 = 40*q - 61*q + 94*q + 33*q for q.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 68 (b) 2 (c) -9\/43 (d) 4\/5 (e) 1\/3 (f) -4 (g) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28812, -28810, -28808, -28806?\n\"Answer: 2*i - 28814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from qdqqqqdqddddad.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 5:51 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**5\/15 - 2*y**2 + y - 4. Let h(i) be the first derivative of o(i). Let m(s) be the first derivative of h(s). Factor m(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -6. Let a = -2 - p. What is the least common multiple of ((-16)\/(-6))\/(16\/72) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 5*m)*(-382 + 138 - 622).\nAnswer: -1732*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.280392 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) + 72\/(-27). Which is the fourth biggest value? (a) 0 (b) 0.4 (c) m (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*d - 72 - 62, p - 136 = -5*d. Let g be (-6)\/d + (-11)\/(-9). Sort -5, 2, g in decreasing order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 6*q**2 + 2*q - 11. Calculate v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-25))\/(8\/(-20) + 1). Let x be -2 - (7872\/(-1876))\/3. Let a = x - -2\/67. What is the nearest to a in 0.5, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*(f**(-2)*f)\/f)*f*f**20*(f**(-6))**(-6) assuming f is positive.\nAnswer: f**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2\/9 (b) -5 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/4 (b) 3 (c) -0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 119 + 40 - 168*w + 23 + 5)*(-1 + 0 + 2) as m*w + q and give m.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioobboo. What is prob of picking 1 i, 1 b, and 1 o?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94539563 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*k = 5*l + 287*k + 15, 5*k = 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7086*r**2 - 32818*r + 22. Let s(x) = 1417*x**2 - 6565*x + 4. Let d(g) = -2*j(g) + 11*s(g). What is the second derivative of d(i) wrt i?\nAnswer: 2830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((-3)\/6 + (-2)\/(-2)). Put x, 1, 0.3, -3 in descending order.\nAnswer: 1, 0.3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*g**3 + 9*g**3 - 42*g**3 - 37*g**3 - 54*g**3 - 1 + 1.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1736804 (base 11) to base 13\nAnswer: 7c4736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12810075737 + 471?\nAnswer: 12810076208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -395\/6 + 66. Suppose 2*b = -0*b + 8. What is the second smallest value in 1\/2, b, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.38751 times -1\nAnswer: -0.38751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 - -103. Let g be ((-40)\/(-14))\/(-3*(-4)\/42). Let n = v - g. Solve -4*y - 4*t = -t + n, 2*y = 5*t + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429355769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 5*l + 19. Let x be y(-3). Let m(u) = u**3 + u**2 - 20*u - 3. Let c be m(x). What is the smallest value in 5\/9, 3, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89809211, 89809214, 89809219, 89809226, 89809235, 89809246, 89809259?\nAnswer: 89809274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)*i)**(-23) assuming i is positive.\nAnswer: i**(-161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p - 7. Suppose -11 - 7 = -3*y. Let z(w) = 6*w - 11. Let m(s) = 12*s - 21. Let k(j) = y*m(j) - 11*z(j). Determine 5*i(a) - 7*k(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/213759216 and -145\/8906634?\nAnswer: 213759216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 355*l + 399*l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-286)\/39 - 1\/(-3). Let m(j) = 7*j**2 - 9*j - 16. Let f be m(i). What is f rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29555.69 times 0.01\nAnswer: 295.5569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140907?\nAnswer: 3, 13, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/306 and -53\/3768.\nAnswer: 192168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*y - 894*y - 4003*y - 591*y - 221*y.\nAnswer: -5103*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 1:34 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/((i**(8\/3)\/i)\/i))\/(i\/(i*i*((i**0*i)\/i*i*i)\/i)*i**(-6)) assuming i is positive.\nAnswer: i**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*x**6 + 4490*x**5 + 728785*x**2.\nAnswer: -14280*x**3 + 269400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3881 + 3944. What is the highest common factor of a and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 166424?\nAnswer: 166424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1494 + 2994069.0878.\nAnswer: 2994068.9384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157812497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61438 and 1251?\nAnswer: 552942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/54 + 2*w**3\/27 - w**2\/9 - 7*w. Factor i(y).\nAnswer: -2*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 9, -10, -1, 232361 in ascending order.\nAnswer: -10, -1, 0, 5, 9, 232361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*v + 5657 + 8*v - 5657 + 51*v - 33*v.\nAnswer: 93*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111 * 0.042271\nAnswer: 4.692081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*u + 12*u - 32*u + (3 - 3 - 4*u)*(-5 + 9 - 19) in the form k + i*u and give i.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -645*f**3 + 13275388*f**2 - 68308478081*f - 211809362.\nAnswer: -(f - 10291)**2*(645*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, -9, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25715*-56\nAnswer: 1440040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - 165.8. What is the second biggest value in p, 4, -3\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 5, -4, -97 in descending order.\nAnswer: 5, -4, -68, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:49 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + -595.4. Let d = r - -668. Let n = d + -49. Round n to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2783 - 0.2483. Which is smaller: q or -3520?\nAnswer: -3520","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4403 is divided by 516.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Let a(f) = -1653*f. Determine a(h(w)).\nAnswer: -3306*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/4 of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*c + 2. Let w = -61 - -60.961. Let i = w + -0.961. What is the nearest to -0.3 in c, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**7\/840 + 5*r**4\/24 - r**3\/3 - 4*r**2. Let o(s) be the first derivative of q(s). Find the first derivative of o(y) wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19261943185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0 (c) 5 (d) 1 (e) -4\/1168455 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.086 <= -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5016 = 3*d - 3*l - 4188, -3*d = 4*l - 9183. Let j = -488 + d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*(n*n**(1\/47))\/n)**(-1\/4) assuming n is positive.\nAnswer: n**(91\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, 692184\/197 in decreasing order.\nAnswer: 692184\/197, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*-76*(-62)\/589?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 45*r + 30. Let n be m(7). Factor 12\/7*k**4 + 4\/7 + 18\/7*k + 2\/7*k**5 + 4*k**3 + 32\/7*k**n.\nAnswer: 2*(k + 1)**4*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*n + 4*w, -w - 31 = -n + 2*w. Suppose -n*q + 6 = -17*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29\/(1 + -2)*-1. Suppose 7*p - 8*p = -u. Suppose 32*l - p*l = 54. What is the greatest common factor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 124?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnn when three letters picked without replacement from {t: 1, n: 2, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2538, -4\/7, 4\/5 in descending order.\nAnswer: 4\/5, -4\/7, -2538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.9. Suppose -2*q - 23 = 5*g, 3*q + 3 + 3 = 2*g. Let w be (-3)\/(-1*(-3)\/(-4)). Which is the closest to u? (a) -0.3 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*w**2 + 19 - 19)*(34 + 4 - 19).\nAnswer: -304*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 596154.9.\nAnswer: -119230.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * 0.178\nAnswer: 0.2314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 + u + 39. Let w(g) = -5*g + 64 + 7*g - g + 29 - g**2. Calculate the remainder when r(0) is divided by w(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from 763.46684.\nAnswer: 771.46684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 3 (c) -5 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-15)*(-4985)\/48853 - 600\/(-14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -3a436d?\nAnswer: -3a437a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -1) + (4 - 1) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(224\/(-144)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23102987.\nAnswer: 4177, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2, -3*l - 2*k - 17 = 2*l. Let b be (-3*(-8)\/12)\/((-2)\/l). Solve -2*p + 3*m = -18, -b*p + 0*m + 3*m + 21 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13423362 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((10 + 4)\/2). Let y = -0.2 - 0.8. Put 0.5, n, y in ascending order.\nAnswer: y, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1051*j**2*v - 31702*j**2 - 66613*j*v - 7*j + v - 1 wrt j.\nAnswer: -2102*v - 63404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i + 1. Let s be g(2). Let d(l) = l**2 - 8*l + 9. Let x be d(6). Let a be (1\/x)\/((-9)\/81). Solve -a*q = -6, -2*m - s*q = -2*q - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/6 and 27\/475?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001779649 - -40737.22?\nAnswer: 40737.218220351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 minus 0.34?\nAnswer: -0.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1512802 and -5.\nAnswer: 7564010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 6, m: 1, v: 5, j: 2}. Give prob of picking 2 f and 1 t.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m + 2*m)*(3*m**4 + 2*m**4 - m**4) + 6*m**5 - 5*m**5 + m**5.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 341 - -173) + (-1 - -17).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 3*h**3 + 3*h**3 + (-2*h - h + 10*h)*(23 + 2*h**2 - 23) + 3*h**3 - 5*h**3 + h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 3*i - 7. Let v be r(4). Suppose 5*d - v = y + 147, -3*y + 180 = 5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -599\/3 - -204. Let x = 174 - 173. Are d and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 23*a**3 + 50*a**3 + 49*a**3.\nAnswer: 77*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 13872*t - 13874*t - 38)*(5 - 3 + 0) to the form n*t + r and give r.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n + 6. Suppose -8*k - 6*k = -98. Let y(u) = -9 + 3 - k - 4 - 3*u + 12*u. Determine -17*r(q) - 6*y(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -71199, 0 in increasing order.\nAnswer: -71199, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 55, 105, 171, 259, 375?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-13130)\/(-1212)) + 280\/26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -17950*r**2 + 32*r + 8. Let j be (14\/49 - -6) + (-2)\/7. Let k be p(j). What is k rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from wookklssgoksslsssk.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c - 30*c + 8*c)*(2 + 1 + 3).\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 11*v**2 - 37*v + 7. Let q be h(-6). Let x(k) = 385*k. Let b(c) = 16*c. Determine q*b(y) - 2*x(y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 - -0.02. Let u = 177 + -176.7. Which is the second smallest value? (a) 0.7 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6*a = -9*a + 1, -3*u - 2*a + 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d*w**2 - d*w - 2*w**2 - 47*w + 3 wrt w.\nAnswer: -14*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61417515.\nAnswer: 3, 5, 17, 240853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**4 + 21597*h + 113*h**5 - 22520*h - 749*h**5 + 5*h**4 wrt h?\nAnswer: -12720*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0311422021 to six dps.\nAnswer: 0.031142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3\/5 - 2916*x**2\/5 - 52488*x = 0?\nAnswer: -81, 0, 810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000794511923 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o + 45 - 175. Solve -3*p + 5*p = o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.6 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13437 and 2100651?\nAnswer: 6301953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1142*f + 4970 = 148*f. Let o be (-2)\/(-4)*(1 + -1). Suppose o*m = 2*a - 3*m - 16, 0 = -2*a + m + 8. Sort f, 1, 4, a in ascending order.\nAnswer: f, 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1) + (-74)\/(-38). Let q = a - 25\/247. What is the nearest to 0.1 in 0.3, -2\/3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.0576 (b) -84 (c) 2 (d) -1\/3 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 924*s**3 + 5*s**2 + 4*s - 12. Let w(r) = -1849*r**3 - 9*r**2 - 7*r + 21. Give -7*l(i) - 4*w(i).\nAnswer: 928*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 64*s = 0. Let n = -25 + 39. Let t = 4 - n. Put s, 2, t in descending order.\nAnswer: 2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 1915*b**2 - 5233*b + 1428.\nAnswer: -(b + 3)*(b + 476)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -115*s**2 + 2291*s - 2290. What is t(1)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 616 (b) -1.9 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120371925 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 1 - 7*n**2 + 5*n**2 + 2 + (-2*n + n + 0*n)*(4*n - 2*n - 3*n) + 0*n**2 + n**2 - 3*n**2 as s + j*n + a*n**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-6))\/((-20)\/(-180)). Which is the closest to -1\/4? (a) 3 (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**3 + 6*d**2 + 6*d - 6. Let s(n) = 3*n**3 + 5*n**2 + 5*n - 6. Suppose 2*v - 8 = 6*v. Let m(j) = v*g(j) + 3*s(j). Is m(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 28*d**2 + 290*d - 946. Give z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 5*s**2 + 9 - 9. Let o(h) = -2*h. Calculate o(f(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15298*l**4 + 2*l**3 - 35898 wrt l.\nAnswer: 61192*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 0. Suppose -3*n = b*k - 35, n = -5*k - 3*n + 30. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(-10*(-6)\/450)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13981\/23 + -608. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eququewueueqquu. What is prob of picking 1 q and 1 u?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 4 - 4*m + 1\/2*m**3 + 0*m**2. Let c(s) be the first derivative of n(s). Let t(k) = 2*k. What is c(t(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*t + 6. Let u be ((-18)\/4)\/((-13)\/t + 4). Let y be u\/(-15) + (-1459996)\/(-10). Round y to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) -3\/7 (b) -4 (c) 0 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14195\/7 + 2028. Sort 13, 3, s, 0.4 in descending order.\nAnswer: 13, 3, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13742 - 3002. Is 60 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w + 5. Suppose u - 20 = -w*a - 4*u, 3*a = 4*u - 16. Suppose -l - 2*l + 81 = a. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 7699608?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Sort -5, r, -4.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 8*l + 1. Let w(c) = -6*c**2 - 9*c - 2. Let i(g) = 5*b(g) + 4*w(g). Let a be i(2). Solve 3*m + 3 = a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 88*o**2 - 17*o - 46. Is c(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4930080 - 9*a + 4930080.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, -8.24, 8.\nAnswer: -8.24, -3, -1\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 14 - 4. Let x = p + -2. Solve s = -2*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3, -25, -2, -1\/6, -1\/5, 77\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -85464 and 0.045?\nAnswer: -3845.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -60*k**5 + 45*k**4 + 39*k**3 - 24*k - 24. Let p(q) = -3 - 5*q + 3*q**3 + 5*q**3 - 12*q**5 - 2 + 9*q**4. Let j(m) = 24*p(m) - 5*s(m). Factor j(f).\nAnswer: 3*f**3*(f - 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89\/9 in 3, 177, -0.35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -685*j + 3*j**2 - 299*j + 226*j - 69192 - 5*j**2 + 14*j.\nAnswer: -2*(j + 186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 + 2*m + 1. Let x be n(0). What is the closest to x in -2\/65, -0.2, 1\/3, -4\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6373 is divided by 156\/8 - (114\/12)\/(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 30 - 842 + u + 189 - 3*u.\nAnswer: -11*u - 683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2. Let r(l) = -l**3 - l + 4. Let p be r(0). Let q(h) = -8*h + 5*h + p*h. Calculate w(q(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1297 > -1288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 + 6*a + 5. Let l be j(-4). Let x(p) = p**3 + 2*p**2 - p + 3. Let i be x(l). Let o = 2 + i. Put -3\/5, 1, o in descending order.\nAnswer: 1, -3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 64 - 77 + 2*b**2 + 209.\nAnswer: 2*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 23 + 8 = 0. Let x(j) = -5*j**2 - 2. Let t(q) = -6*q**2 - 3. Let i(r) = g*x(r) - 2*t(r). Let n(p) = -5*p**2 + 213 - 99 - 114. What is i(n(d))?\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017851 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -7 + 7 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67885*51\nAnswer: -3462135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30*10\/45 - (-4)\/(-6). Suppose n*j + 0*j - 12 = 0. List the prime factors of ((-3)\/j)\/(4\/(-168)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*z + 2*z. Suppose -14 = -2*r - 4. Suppose r - z = -w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2673) + sqrt(2673))\/sqrt(3).\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -47. Factor 2\/5*z**4 + 0 + 0*z + 0*z**o - 2\/5*z**3.\nAnswer: 2*z**3*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 163766, 166064, 168362?\n\"Answer: 2298*j + 161468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 817*v - 443*v - 646*v - 3 to the form k*v + b and give k.\nAnswer: -1906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -1467.6 + 1468. Which is the nearest to l? (a) 1 (b) 5 (c) -2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*t - 1435, -730 = a - t + 5*t. Let z = -241 - a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*i + 109405, m + 2*m - 82038 = 3*i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((-7828)\/(-12)). Let r = -3736\/174173 + x. Let d = r - 83\/267. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -19.3, 2.\nAnswer: -19.3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/37806 + -10888151\/869538. Let s = b + 3567\/92. Solve -18*a + 3 + s*a**2 = 0.\nAnswer: 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190483, 380958, 571433, 761908, 952383, 1142858?\nAnswer: 1333333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27606 divided by -3?\nAnswer: -9202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 16 + 15*l - 2*l**2 - 8 + l**2. Let v be j(8). Suppose v = -0*n + n - 109. Calculate the remainder when n is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Is 2925869897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2. Let x(q) = 153*q. Determine w(x(l)).\nAnswer: -46818*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6758109 (base 10) to base 16\nAnswer: -671edd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-1)\/((-3)\/(-9)). Let v be 2\/8 + (-138)\/(-24). Let n = v + o. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 26*w - 5570 = 8610. Calculate the remainder when w is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 461287 and 2117?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 1, t: 1, h: 1, x: 1, p: 2}. Give prob of sequence hxf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1359.635045 to the nearest 10.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 - i + i)*(i - i**2 - i) + (23 - 2*i**3 - 23)*(0*i + 2*i + 0*i) + 10*i**2 - 10*i**2 + 26*i**4 to a*i**4 + t + y*i**2 + q*i**3 + u*i and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 4131.3334 and 1.\nAnswer: 4132.3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(162)\/(2*sqrt(9)))\/sqrt(6).\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(((0 + sqrt(112))*3 + sqrt(112))*5)**2.\nAnswer: 89600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20154*579.\nAnswer: -11669166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -530 - -c?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 6*a**2\/5 + 674865642*a\/5 + 674865636\/5 = 0.\nAnswer: -112477606, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 6*t + 7. Suppose 20 = 4*c, 4*x + 3*c = x. Give h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 316\/(-11) - (-9 + 7). Suppose 0 = -3*k - 5*x - 68, 82*k + 136 = 77*k + 3*x. Which is bigger: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 + a**3)*(0 + 857*a - 855*a + 1 - 2*a**2).\nAnswer: 4*a**5 - 4*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4571 - 568 - 2*x - 7*x + 0*x + 6*x.\nAnswer: -3*x - 5139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*h - 1709*d**2 + d*h - 5*d + 9 wrt d.\nAnswer: 4*h - 3418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*n + 8*n**2 + 1 - 15*n**2 + 31*n)*(147*n**2 + 45*n**3 - 147*n**2).\nAnswer: -315*n**5 - 45*n**4 + 45*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7235360 and 3617680.\nAnswer: 7235360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -25. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24\/35 + -2\/7. Let n = -191\/3 + 63. What is the closest to n in t, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 275*d**3 + 6 - 1279*d**3 + 539*d**3 + 1.\nAnswer: -465*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4478*53.\nAnswer: 237334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 12033156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126 + (1 - 16\/4)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g. Let k(p) = 2311*p**2. Give k(x(u)).\nAnswer: 36976*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 51*l**2 - 430*l + 24. What is the tens digit of p(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5025\/(-2))\/(6\/(-184)). Let f = d - 134050. What is f rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -2.48?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(63))\/(-4*sqrt(12)\/sqrt(2)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -7. Let f be (5 + -2 - 2) + i. Let j be 2\/2*2\/(-20). Is j >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 823 - 822.8. Which is the second biggest value? (a) v (b) 0.1 (c) -1\/3 (d) -3\/2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*k + 2*f - 4 = 0, 0 = 5*k - f + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -13 + 10 - 5) + (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 3. Suppose -3*p - 18 = l + p, -4*p - 24 = 4*l. Let o(j) = 4. Let g(y) = l*r(y) - 3*o(y). Is 5 a factor of g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(1000)*2 + sqrt(10))\/(sqrt(35)\/sqrt(63)) + (sqrt(2) + -2)*-4 + -1*sqrt(32))**2.\nAnswer: 3520*sqrt(2) + 24456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 + 3*n - 3. Let b(q) = -119*q**3 + 91*q - 91. Let p(z) = 6*b(z) - 182*d(z). What is p(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d + 1. Let c(b) = -19*b**2 + 32*b + 189. Let y(x) = -c(x) + 5*n(x). What are the prime factors of y(-9)?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*x - 3*x. Let f = x + -2. Let h be 492\/9 + (-1)\/(-3). What is the highest common factor of f and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10474678199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -982239.265 to the nearest ten thousand.\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymmb when four letters picked without replacement from {q: 3, v: 1, t: 1, y: 2, m: 3, b: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -121*y**5\/60 - y**4\/6 - 17*y**3\/3 - 215*y**2. What is the second derivative of l(c) wrt c?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 475019\/11 - 43185. Let v(y) = y**3 + 5*y**2 - 6*y - 1. Let f be v(-6). Is f less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**2 + 17*n - 22 - 18*n + 14 + 0*n**2 as m + j*n + g*n**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -183, -134, -1, 258, 685, 1322, 2211, 3394?\n\"Answer: 7*b**3 - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2.1. Let j = 45587 + -45586.7. Let o be (-2)\/(-5) - (1 + -1). What is the closest to b in o, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 7.\nAnswer: 106\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -69. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - 3 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*a - 104 + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 1\/6*k**3 + 0 + 16*k**2 - 2*k - 1\/12*k**4. Let z be l(0). Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 538, -2, 0.2, 2\/5 in decreasing order.\nAnswer: 538, 2\/5, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 5*m)*(-m**2 - 3*m**3 + m**2).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 6913*s**5\/20 + 1723*s**4\/6 + 2366*s. What is the third derivative of i(g) wrt g?\nAnswer: 41478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007023505 rounded to 5 decimal places?\nAnswer: 0.00702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 164*i**2 + 11.\nAnswer: 164*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2811 + -1?\nAnswer: -2812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-10))\/1)\/(39\/(-52)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*k + 7 = 3*h + 125*k, -4*h - 5*k + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 2*v + 28, 2*z - 2053*v = -2057*v - 56 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 4. Give i(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 + 4 = -4*g, 4*z + 26 = 2*g. Let p(i) = 31*i**2 + 14*i + 17. Is p(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 102994913 + 41399087. What is l rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143894515449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 23*v + 133. Calculate h(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2\/3, 32\/7, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3345, -3327, -3295, -3249?\nAnswer: -3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1250 or -1233?\nAnswer: -1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64417?\nAnswer: 37, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + 5. Suppose -7*t + 30 = -2*t + 2*h, -2*t - 5*h = -12. What is the greatest common factor of t and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = -400*v - 293*v + 158286. Calculate the greatest common factor of 148 and v.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 5*y + 2. Let f be h(5). Suppose d - 16 = f. What is the lowest common multiple of d and (-2)\/(-1) + 20 - 2?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 25. Suppose 0 = -4*m + 3*m + 3*k - 1, -5*m = -j*k - 5. Let a(n) = n**3 - n**2 + 2. Give a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 329, 718, 1253, 1928, 2737?\nAnswer: 3674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 - -10?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3540900 divided by 15950\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 506306.7 tonnes in micrograms?\nAnswer: 506306700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412071099?\nAnswer: 59, 263, 359, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4639511 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 79 - 77 = 0. What is the remainder when z is divided by (-1)\/((-4)\/14)*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107121758 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1693 less than or equal to -4505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -86*g**2 + 10666*g - 262. Determine s(124).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011010100011 - 1010001000100?\nAnswer: -1110101011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1100001011111 (base 2) to base 7\nAnswer: 24122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*m - 40. Let s(h) = 20 + 12 + 12 - 64 + 3*h. Let l be s(m). Solve l*b - 5*b = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -50, 0.5, -0.5, -1\/88?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -2612 + 962. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 12124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32080 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3256 and 6512?\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30679*x**4 - 2*x**3 + 30670*x**4 - 61351*x**4 + 178 - 607 to d*x**3 + v + q*x**2 + z*x + w*x**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19040, 18944, 19012, 19328, 19976?\nAnswer: 21040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/19)*b*b**(-4)*b*b**(2\/5)*b\/(b**7\/b)*b assuming b is positive.\nAnswer: b**(-542\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 12805\nAnswer: 48\/12805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-3 + 1) + 4. Let u(j) be the first derivative of 0*j**4 + 0*j**3 + 2 - z*j + 0*j**2 + 1\/5*j**5. Differentiate u(r) wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0178 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 14*t - 1774. Let i = 57 - t. Let d = 59 + i. Solve -2*c - 8 = -d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 + x. Let f(t) = -6*t**3 + 16*t**2 + 6*t. Suppose 0 = 4*v - 14*m + 9*m + 9, -5*m - 39 = 4*v. Calculate v*f(q) + 33*g(q).\nAnswer: 3*q**3 + 3*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -1062, -1, 1\/4, 2\/5 in descending order.\nAnswer: 2, 2\/5, 1\/4, 0.2, -1, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from mssfssffkkisskfsfi?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9052*d*s*z + 20*d*z - 2*s + 14846*z + 24 wrt d.\nAnswer: 9052*s*z + 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*b = 25 - 15, -2*b + 26 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 10 - 107. Suppose 0 = -z*q + 34*q + 175. What is the remainder when 68 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 244008026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 403*k**2 + 108*k - 12. Is j(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73565887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195389\/84 + 2326. Find the common denominator of q and 31\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40804 - -47620. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 959 - 10*u**2 - 959.\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, s: 2, r: 2}. Give prob of sequence gsr.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 2. Let j be f(-7). Suppose -2*d = 5*y - 51, -j*d - 3*y + 85 = y. Suppose p = -t + d, 5*p - 71 = -3*t + 4. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 736\/6545 + 2\/385. Let m = -0.08 + 3.08. Let n = m + -7. Which is the third smallest value? (a) n (b) p (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73352567?\nAnswer: 41, 541, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52477 and 120643.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -66999*x + 66998*x - 11, 5*w = 5*x + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 11*p + 24 = 0. Let y = p - 10. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 791189788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16883 is divided by 752?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by 13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_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: Calculate -2 - 323.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0 - (-47 + 21 + 18 + 3)) + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -495 + 543. Let w be 1131\/15 - r\/(-80). What is the highest common factor of w and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/(5\/((-200)\/8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/15 and -25\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*r - 0*u + 2*u, 5*r - 45 = -5*u. Let c be r\/(-21) - 2\/6. Does 0 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 3*g**2 - 3*g**2 + 22*g - 15*g**3 - 19*g.\nAnswer: -15*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 94714.9 decades?\nAnswer: 11365788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.61229l to millilitres.\nAnswer: 62612.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 13*i - 13. Let h be y(8). Let b be 276\/h + 1 - (-2)\/(-9). Suppose -13 = -q + b. Calculate the least common multiple of 33 and q.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (15 - 13)) + 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1044621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 29687*v**2 - 2*v + 5. Let b(r) = -183*r**2. Calculate x(b(k)).\nAnswer: 994187943*k**4 + 366*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6946432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.21, 2137, -2 in descending order.\nAnswer: 2137, 2\/7, 0.21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2979496\/133 - 22402. Let j = -47\/798 + a. Find g such that -27\/2 + 33\/2*g + j*g**3 - 19\/6*g**2 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1765*z + 1737*z - 410 = -158 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8802696 and 11317752?\nAnswer: 79224264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -355 + 362 + (-1 - 19 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 28 - 4. Suppose 0*x + x = -10. What is the lowest common multiple of (-210)\/(-25) - b\/x and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 3 + 13\/(39\/900). Calculate the highest common factor of u and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3755 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 73 = b - 3*w, -5*w - 175 = -5*b. Let l = b + -28. Solve l*i - 9 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54907927 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*m - 3*g, 0 = -2*m + 7*m - 4*g + 20. Suppose -4*b + 11 - 27 = m. Let z be 3*b*(-2)\/12. Solve 4*a + 4*j = 24, 3*a - z*a = -2*j + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -881 + 903.95. Let z = g - 23.2078. Let h = z - -0.26. Round h to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 20. What is the remainder when 13 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 93*s + 2104. What is the hundreds digit of y(47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f + 3. Let i be 3\/(-2) - 846\/112. Let d = -69\/8 - i. Which is the nearest to f? (a) d (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -534.1 + 534. Sort -4\/5, w, -2.4, -3\/4 in ascending order.\nAnswer: -2.4, -4\/5, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1 - 1) + 5. Let p be 2\/z*(-2)\/(-5). Let r = -4.987 + -0.013. Which is the third smallest value? (a) p (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/3*98091\/54?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u. Let l(s) be the first derivative of -s**4\/24 + 3*s**2\/2 + 4. Let d(n) be the second derivative of l(n). Determine k(d(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*y + 5*y = 200, 0 = 2*s - y - 74. Calculate the remainder when -2 - (3 + -7 - s) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = b - 0*m + 5*m, b = -4*m - 46. Let q = b - -38. Let f be (-1)\/4 - 9\/q. Solve x - f + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2)\/(u**18*u))\/(u**(-4\/5))**(-35) assuming u is positive.\nAnswer: u**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 464 - 462. Solve -4*o = -u + 3, 2*o + s*u + 4 = -0*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from caxxb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 470.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -18. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/48*-2 - 33\/(-198)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*k + 494*k + 812 = 0 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.738\nAnswer: -2.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n - 5 + 1 + n + 3*n. Let j be o(-3). Solve -d - 5*u = 3, -5 = d + 3*u - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2108 is divided by 100.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 30*t**2. Suppose 9*j - 2*c + 10 = 11*j, 0 = 4*j - 5*c + 7. Let s(m) = 38685*m**2 + 1 - 38687*m**j - 1. What is h(s(g))?\nAnswer: 120*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626469.\nAnswer: 3, 367, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.2. Let t = 0.3 + -4.3. Let x = -0.159 + -0.241. Sort q, t, x.\nAnswer: t, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/5 - 742*y**3\/5 - 68448*y**2\/5 + 69192*y\/5.\nAnswer: -2*y*(y - 1)*(y + 186)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**2 - q**2 + q**2)*(182*q - 19*q**2 - 182*q) + 83*q**4 + 53*q**4 - 48*q**4 in the form c + y*q**3 + t*q**2 + x*q**4 + v*q and give x.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 - -259. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 69. Let r(y) = -13*y**2 - 11*y + 22. Let k(g) = -7*g**2 - 6*g + 12. Let z(m) = 11*k(m) - 6*r(m). Give f(z(h)).\nAnswer: -h**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + 5. Suppose 4*a = -0*a - s. Let p(v) = 2*v - 3. Let k(j) = -9 - 9 + 2*j + 16 - 2. Determine a*k(l) + 6*p(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:55 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.639826 + -1.64. What is v rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 26*l = 28*l - 18, 4*p + 3*l - 24 = 0. Solve 3\/2*m**2 + 6*m + p = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 + 16*o**2 + 36*o + 12. Let t(v) = 8*v**3 + 31*v**2 + 73*v + 23. Let x(y) = 9*j(y) - 4*t(y). Let x(k) = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwwggggggggw. What is prob of picking 1 g and 1 t?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(5\/((-35)\/(-14)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 99*y = 98*y + 3, -5*y - 66 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k**2 - k**2)*(-12 - 19 - 7) - 4*k**2 - k**2 + 3*k**2 + 2*k**2 - 2*k**2 + k**2 + 0*k - 2*k**2 + 0*k + (4*k - 2*k - k)*(-2*k + 3*k - 2*k).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1064*n**2. Let g(q) = -196497*q. What is u(g(a))?\nAnswer: -41082179553576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 6*r**4 - 15*r**3 + 8*r**2.\nAnswer: r**2*(r - 1)**2*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 20. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -6)*-2*4\/80. Let t(h) be the second derivative of m*h**5 + 0 + 0*h**2 + 1\/3*h**3 + 10*h - 7\/30*h**6 - 11\/12*h**4. Factor t(l).\nAnswer: -l*(l - 1)**2*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**8\/1680 - q**7\/420 + q**6\/360 - q**3\/3 - 5. Let r(b) be the third derivative of a(b). What is n in r(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -1 (c) -0.3 (d) -3\/4 (e) 1.536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*(-125)\/(-15).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9183, -18311, -27451, -36609, -45791, -55003, -64251?\n\"Answer: -c**3 - 9121*c - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 49, 131, 283, 529, 893?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2276, 8146, 17600, 30632, 47236?\nAnswer: 67406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 - 6375*s**2 + 737*s**2 - 178 - 1336*s**2.\nAnswer: -6974*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 900.7 - 904.7. Which is the third smallest value? (a) 0 (b) -1\/11 (c) -3\/7 (d) -22 (e) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/69)\/(14\/(-14)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:54 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 695269107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:57 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + 10*o**2 + 13*o - 63. Calculate r(5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 - 231. Suppose g = 21*j - 10*j - 1265. List the prime factors of j.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -0.362?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 159 - 342 + 161 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194415.\nAnswer: 3, 5, 13, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6699?\nAnswer: 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6443\/594 + 4\/297. Let a(h) = -h**2 - 6*h + 6. Let u be a(-8). Find the common denominator of (-655)\/18*2\/u and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6064 and 3897636.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 4 - (28 + -29 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, n: 3}. What is prob of sequence nc?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = -2*m + 10, -m - 148*k - 141*k = -287*k - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 4. Let v be (-4)\/(-10) + (-215)\/(-75)*3. Let u(f) = -5*f - 17. Give v*x(y) - 2*u(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = -5*y, 7 = 5*c + 5*y + 22. Suppose c = 4*v + 2*q - 238, -243 = -4*v + 4*q - q. What is the greatest common factor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.23 take away 32719?\nAnswer: -32849.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -516.074 + 0.074. Let x = 743 + s. Let k = 197.6 - x. What is k rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13920 and 60000?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-45))\/4)\/(6\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.1 + 15.9. Let k = 751.7 + -754.7. What is the second biggest value in 0, n, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5547 - 79151433?\nAnswer: -79156980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:27 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**5\/10 + a**3\/3 - a + 1. Let w(t) be the first derivative of o(t). Find the second derivative of w(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 4\/3, 4\/5, -1\/5, -0.1, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2 - 5*x + 9. Let g(p) = -5*p**2 - 4*p + 7. Give 3*f(q) - 4*g(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 245*m. Let h(q) = 2*q. Give g(h(y)).\nAnswer: 490*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {t: 1, j: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*q - 2*q - 340 + 136 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 + -55c5?\nAnswer: -5535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71699, -64557, -57415?\n\"Answer: 7142*l - 78841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18659 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62584 - -1477?\nAnswer: 64061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10087588 is divided by 3362529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.2 + 12.2. Let m = 18.14 - 18. Let y = -2.14 + m. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*b = 58*b - 14*b - 120*b + 4611 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 133. Let v = 59 + i. What is the remainder when v is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 558479920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 32982198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*i = -2*i - 66, -i = -2*t + 31. Suppose u + 0*u - 4 = 3*c, 0 = 4*u - c - t. Solve 0 + 0*r - 1\/3*r**2 + 0*r**3 + 1\/3*r**u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6265036, -12530222, -18795408, -25060594, -31325780, -37590966?\n\"Answer: -6265186*s + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 181*u**2 - 132842442*u + 132842442*u.\nAnswer: 181*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - -18. Suppose -2*u + k = 4*d - 2, -69 = -3*u + 3*d. Let t = u + -15. Calculate the least common multiple of 7 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 85 = 100 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from ddjdjdidijijddjjjj?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 = 6*y. Let m(f) = f**3 - 7*f**2 + 7*f - 6. Let a be m(6). Let s = 2 - a. Solve -y - 5 = s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8380630385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33686 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1615.\nAnswer: -1\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*1 + sqrt(19) - (sqrt(19) - sqrt(76)*6)) + 0.\nAnswer: 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 9*b - 21, -32237*r + 32244*r = -4*b - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.3 + 47. Put i, 1, 0 in decreasing order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 2873?\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13513 greater than or equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18469 (base 12) to base 8\nAnswer: -104621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200)*-2)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -153 and 16.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from {w: 1, i: 5, x: 6, s: 7}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2338632 divided by 6.\nAnswer: -389772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -312\/7 - -4845\/112. Let i be -1*(-324)\/16 - -2. Let l = i - 22. Calculate the common denominator of l and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 0, 3*i + 1073 = 8*i + 4*o. Let y = i - 208. Solve y*a - 13 - 2 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2749*y**2 + 6675*y**2 - 2704*y**2.\nAnswer: 6720*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 21*y**2 + 9*y - 15. What is q(10)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.99745 and -0.137?\nAnswer: 0.13665065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d - 3*d**2 + 8\/3*d**3 + 0 + 1\/24*d**4. Let x be n(-11). Sort 0, x, 4, -2 in increasing order.\nAnswer: -2, 0, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57491 = 7*d - 36029. Round d to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21429283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -5 (c) -206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 26011308.38 to the nearest one thousand.\nAnswer: 26011000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/33 and -163\/567802014.\nAnswer: 6245822154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2)\/(2\/8). Suppose -5*s + 2*t = -3, 3 = -2*s + 3*s + 2*t. Which is the biggest value? (a) s (b) 1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 20bcc9?\nAnswer: 20bcdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39918545507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 405.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29614 divided by 701.\nAnswer: -29614\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d - 12. Suppose 10*m + d = 13. Solve 2*w - m = 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102849 is divided by 72.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 times 0.18?\nAnswer: -104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 - (60 + (9 - -99))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + s - 148, 0*g + 242 = 5*g + 4*s. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26999.\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 17. Suppose x*y - 9*y = 0. Solve -5*m = -k + 16, y*m + 11 = 5*k - 2*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81104 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: What is the smallest common multiple of 40959 and 738?\nAnswer: 81918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033808 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -82.08916.\nAnswer: 77.08916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1454960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:01 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1834341707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 3913 = 1982. Let q = l - 392. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 122 = 5*k - 17, 5*o - 4*k + 150 = 0. Let i = o + 36. Suppose 2*u = 4*u - i. Calculate the greatest common divisor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3282 and 33543134?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -1789*o**3\/6 - 206*o. Let f(p) = -2*p**2. What is s(f(c))?\nAnswer: 3578*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3 + 11999*n**2 - 92744*n - 23936 = 0.\nAnswer: -1\/4, 8, 2992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y. Let z(i) = -2*i. What is z(h(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*s - 5*c = 57*s + 485, -2*c + 2 = 0. Solve -5*o = -s + 275 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18851 and -4.\nAnswer: -75404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129689 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 5*g - 4. What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + 5*q**2 + 10*q - 5. Let t(b) be the third derivative of -b**6\/40 + 3*b**5\/20 + 19*b**4\/24 - 3*b**3\/2 - 1020*b**2. Give -3*t(l) + 5*w(l).\nAnswer: -l**3 - 2*l**2 - 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + 204. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 5\/6*r**3 - 3\/2*r**2 + 18 + 1\/6*r**4 + 14*r. Let m(w) be the first derivative of s(w). Calculate m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 30*n - 25. Calculate t(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8383201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiciiciciccciiiiii?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 19\/2*y**2 + 0 - 1\/12*y**4 + 6*y - 1\/6*y**3. Give n(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/13 + 16\/39. Let n(c) be the first derivative of 0*c - 1\/5*c**5 - d*c**3 + 1 + 0*c**2 + 0*c**4. Find the third derivative of n(j) wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2928351.0383 rounded to the nearest 100?\nAnswer: -2928400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16450 - -877?\nAnswer: 17107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186.12 + 179. Let d = -8.3 - x. What is d rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10532?\nAnswer: 2, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12218 + -12226. Let l(g) = -10*g - 10 + 3*g**2 - 2*g**2 - 2*g**2. What is l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -4 (c) 0 (d) 221 (e) 5 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 3*m - 3. Suppose 4*s = -12 - 0. Let f(g) = -g**2 + 3*g - 4. Let p(t) = s*x(t) + 2*f(t). Calculate p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*k + 37. Suppose -k*r + 0*x + 557 = -5*x, x + 189 = r. Is r less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 - 11*v - 13. Let w be y(-7). Suppose -2*r + 180 = -w. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3276 and 585?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571598 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + z + 2*z)*(-1 + 24 + 28)*(0 - 1 + 2) as r + b*z and give b.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-3))\/(((-65)\/(-30))\/13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/8*20\/50 and 2\/11 + 43105\/20350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -132944?\nAnswer: 132948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2891 divided by -826.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7802\/27 - 289. Suppose 3*w = -2*w. Suppose w = -4*f - 1 - 3. Is r > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/139 + 43\/4448. Let b = 6258 + -4376. Find the common denominator of (-2)\/(-336)*b + (-2)\/7 and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 558506950?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t + 33. Let n(f) = 7*f + 20. Let d(z) = 5*n(z) - 3*y(z). Let w(b) = -b + 5. Determine 5*d(h) - w(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2. Let y = 7 - 6. Let v(d) = 6 - d + y - 14*d + 4. Let h(u) = -4*u + 3. Let k(q) = 22*h(q) - 6*v(q). What is g(k(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 1. Let c(b) = 3*b**3 + 11*b**2 + 8*b - 16. Let u(l) = l**3 + l**2 + l - 1. Let n(x) = -c(x) + 5*u(x). Let q(k) = -2*n(k) - 6*t(k). Factor q(r).\nAnswer: -4*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/13 + 8612*f\/13 + 138304\/13 = 0. Calculate f.\nAnswer: -16, 4322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*z + 4*i, -97 = -4*z + 2*z + i. Let c be 1\/(-3) + 22\/z. Let s = -311\/3 + 104. Put 0.1, s, c in decreasing order.\nAnswer: s, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1684475852 divided by -142\nAnswer: -11862506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*3)\/(1*sqrt(96)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*r + 31*r. Suppose h + 5 = 5*y, -3*y + 3*h = 3 - 18. Let v be r\/(-2) + 9 - (-2 - y). What is the highest common divisor of 88 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) + (-1980)\/(-28) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 - 86. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*o - 75*o + 4*o**4 + 12*o**4 wrt o?\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 578912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2 - 141*y + 294 = 0.\nAnswer: -49, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -613323\/3412 - -4\/853. Let k = y - -181. Let v be (5 - 8)\/((-9)\/6). Which is the nearest to -1\/2? (a) v (b) 1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.6, 0.4, 0.39, -1, -0.3, 0.04, -219?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighty-nine halves of a century?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 194728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxxxrmm. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 24.2, 3, -0.1?\nAnswer: 24.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 3*m**2 + 14. What is the units digit of q(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1263 and 1035239?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 3449a95 (base 12) to base 6\nAnswer: 555251105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 2*f - 8, 2*i - 6 = f. Suppose -5*s = -2*b + 114, i*b - b - 5*s - 166 = 0. What is the highest common factor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2806*u - 1413*u - 1411*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 24 + 86 + 3*n**3 - 32 - 22.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*l + 5*w, 0 = 5*l + 123*w - 125*w + 13. Let d(g) = -g**2 + 3*g. Calculate d(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3866342269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - 20. Let k = j - -43. Suppose 0 = 2*q + k - 23. Solve 4*h + 1 = -f + 4*f, -5*h - q = 3*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 223562955 and 2706.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -73\/13046?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 5 = 3*q. Is q\/(1\/2) + 84 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -949*b**8\/336 - 45*b**4\/8 - 2*b**3\/3 - 333*b**2. What is the second derivative of p(s) wrt s?\nAnswer: -18980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 402 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14*t. Let x = 44 - 37. Let f(n) = 22*n. Let w(v) = x*b(v) + 5*f(v). Let l(p) = 2*p. Give w(l(h)).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -24*t + 382. Solve 0 = -12*u - 5 + t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose -5*h + 5 + 5 = 0. Solve u = h*t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432117\/113828 - 1102\/199. Let q = 1\/1716 + r. Calculate the common denominator of 71\/4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48234 - -5?\nAnswer: -4822f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*z**2 - 16*z**2 + z**4 + (z**2 + 2*z - 2*z)*(2*z**2 - z**2 + 0*z**2).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 22 = 2. Suppose 2*b + 1 = s, 5*s = o*b + 7 - 2. Solve -h - s = 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6366 = -226*o - 16988 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -823, -1663, -2527, -3415, -4327?\n\"Answer: -12*f**2 - 804*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/97 in -5\/4, 272\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -182*x + 143. Calculate h(2).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8))\/((-20)\/(-72)). Let j be 1\/(7\/(-7))*1. Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 - 1.5. Let c = 4 + w. Let x = -9 - c. Sort 0.3, x, -4.\nAnswer: x, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 - 17867336*z**2 + 31888692*z wrt z?\nAnswer: -12*z - 35734672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j**2 + 4*j + 47. Is r(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 374*k**5*o*s**2 - 100*k**3*s**2 + 19*k**2*o + 3*k**2*s**2 + 83*k**2*s - 6*k*o*s wrt k.\nAnswer: 22440*k**2*o*s**2 - 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 + 5*p**2 - 9*p + 10. Let f be v(2). Let m be (-5)\/(-20)*f*-2. Sort m, -4, 5, 10 in increasing order.\nAnswer: -4, m, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/45 + (-16)\/20)\/(2\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*o**2*u**3 - 2*o**2*u - 12*o**2 - 6*o*u + 3*o - 67737*u**5 + 209*u wrt u?\nAnswer: -102*o**2*u - 1354740*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201041223 to the nearest integer?\nAnswer: 14179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**7 + 18*x**3 - 188. What is the third derivative of h(b) wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*f**4 + 16784*f**3 + 43527903.\nAnswer: -68*f**3 + 50352*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1109880494 to the nearest integer?\nAnswer: 33315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*p - 7367, -6*p + p + 29501 = 4*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026197981 to 6 decimal places.\nAnswer: 0.026198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1407\/(-1072) + 10\/8. Sort 2, -2\/17, h, -0.1 in descending order.\nAnswer: 2, h, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**5*x*x*x**0*x*x*x**0\/((x**(2\/9)*x)\/x) assuming x is positive.\nAnswer: x**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3))**(-6))**(-9)\/(c**(-4\/5)*c**(1\/2))**18 assuming c is positive.\nAnswer: c**(207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 55586 = t, 5*t - 277968 = 4*k. Suppose -21*g + 10831 = -t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -4*c - 0*c. Suppose 2*h - c = -2*n, -5*n - 4 = 2*h - 35. Suppose h = 4*q + 7. Solve 8*r = 4*r + q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f + 183. What is a(4)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d + 0*d + d + (0 + 0 + 2)*(1 - 2*d - 1) + 2 - 2 + d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 13*r**2 + 19*r - 28. What is o(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 564 + 1038 = 2*n, 2*i + 3987 = 5*n. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202)\/18 - (-54 + 23 + 20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17877047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 643 + -636. Let t(r) = 4*r**3 + 5*r**2 + 2*r. Suppose 0 = 4*z + z + 25. Let x(f) = 9*f**3 + 3*f - 3*f**3 + 0*f**3 + 7*f**2. Determine m*t(g) + z*x(g).\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9663214909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13210869 is divided by 943632.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4645.58 - -32375?\nAnswer: 27729.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 37*w + 9\/2*w**2 + 0*w**3 - 9\/5*w**5 + 0*w**4 + 0. What is the first derivative of l(i) wrt i?\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13371a0 (base 11) to base 15\nAnswer: 308d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11512255 = -13*t + 8*t. Let n = t + 1352451. What is n rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76860)\/71400*204\/(-18)?\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(135) + 1*sqrt(135) + sqrt(135))*6)\/(1*sqrt(27)\/sqrt(3)))\/(-3*(sqrt(210)\/sqrt(7)*4)\/sqrt(10)))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1760*r**3 + 5*r**2 + 2*r - 8. Let d(b) = b - 16. Let x be d(10). Let u be m(x). Round u to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262287 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3279, -6495, -9609, -12579, -15363, -17919, -20205, -22179?\nAnswer: -23799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {b: 3, n: 4, m: 1, u: 2, f: 2, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*b + 2 - 6, 5*b = 4*j - 10. Let z = -11 - -26. What is the remainder when z is divided by (-9 + 5)*(-1 + j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42446 or 84893\/2?\nAnswer: 42446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 8*k + 2 - 27*k.\nAnswer: -31*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*c - 10, -2*b - 7*c = -3*c - 26. Solve -3*x = -4*u - 8, 34 = 5*x - 5*u + b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrjjjrrijrrwjrrrrr. Give prob of sequence riw.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 5447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 6*t - 15. Let g(q) = 16*q**2 + 44*q + 106. Let d(i) = 2*g(i) + 15*s(i). Determine d(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15853.\nAnswer: 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 647751\/11 or 58887?\nAnswer: 647751\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 351.4304 centuries?\nAnswer: 3514.304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-281 - -261) + 6 + 1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 1 = -19 + 4, -l + a - 6 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1981996484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 14) to base 10\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -61. Let n = 134 - q. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:55 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10290, -41184, -92668, -164736, -257382, -370600, -504384?\n\"Answer: j**3 - 10301*j**2 + 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 2256*r - 318096.\nAnswer: -4*(r - 282)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*sqrt(7056)*-2)\/((sqrt(112) - 2*sqrt(112)*-6 - sqrt(112)) + 1*-1*sqrt(112) + sqrt(112)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*w - 3780 = -108*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -311923555001.\nAnswer: -311923555001.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**4 + q**3 - q**2 + 1. Let r(o) = 111*o**4 + 2*o**3 - 2*o**2 - 334. Let y(f) = 2*g(f) - r(f). Find the first derivative of y(v) wrt v.\nAnswer: -452*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290550 and 228150?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 102*a**2 - 7263*a\/5 + 5484\/5 = 0.\nAnswer: 4\/5, 457\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 7*z. Let b(d) = -5*d. What is h(b(a))?\nAnswer: 25*a**2 - 35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 50, 48, 46, 44, 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676727.\nAnswer: 676727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -769 = -9*t + 356. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1392 by -6.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2 + (0 - 1) - -60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 19, 0, 5, -1 in descending order.\nAnswer: 19, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + 0 + -6 + 2. Suppose 12 - i = 4*j. Solve 10 + j = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-9)\/6) - -4594. Let v be 2\/(-3) + q\/12. Let b be (-3)\/(3\/2) + v. What is b rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102*50\/(-11900) - (-19)\/21.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.32. Let n = -30411224 - -30411223.72000026. Let q = g + n. What is q rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.1 - 67. Let a = m + 15. Let l = 325\/444 - -2\/111. What is the nearest to a in 1\/5, 1\/8, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 1:57 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -7 + 1 + 29 + -32?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.138 + 9.062. Let x = q + -10.2. Let t be (12\/195)\/((-4)\/(-10)). Which is the nearest to -0.2? (a) -2\/9 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9565.8 and -83?\nAnswer: 793961.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 16*l + 7. Let y be t(17). Let o = y - -43. Let p be 2\/(-2)*11\/o. Which is the closest to -1? (a) -4 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*g + 6 = 0, -45*g + 12 = 3*y - 40*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = 5*n, 91 = 10*p - 2*n + 65 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(912) - sqrt(57))*-3)\/(sqrt(432)*-1).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 26. Let j = q - -7. Let v be (-16)\/32*(-2)\/6. Which is the nearest to 0.1? (a) j (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 7*b**2 + 11*b - 9. Let z(j) = j**3 - 4*j**2 + 5*j - 4. Let s(t) = -2*g(t) + 5*z(t). Calculate the least common multiple of 8 and s(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63997876.\nAnswer: 2, 3389, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1805477683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68002*n = -33904*n - 33999*n - 8316 for n.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16616*i + 16620*i = 2*w - 42, 2*i - 2*w = -24 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 20*z + 2. Let r(o) = -2*o**2 - 30*o - 3. Let c(i) = -2*r(i) - 3*w(i). Let t(n) = -3434*n**2. Determine c(t(s)).\nAnswer: 47169424*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.215, -4, -1, 0.00625?\nAnswer: 0.00625","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4510\/(-2706))\/((280\/(-372))\/(-14))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6526058 greater than or equal to -6526070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 2*g + 17. Let n be r(-5). Let u be n\/(-5) + (-1)\/(-1). Which is the nearest to -0.1? (a) 2\/3 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0*s - 6 + 7 - 3*s. Let g(t) = -t - 2*t + 5*t. Calculate 4*g(p) + 3*j(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 1, i: 1, n: 3, l: 1, e: 4}. What is prob of sequence ni?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/17)*f*f*f)\/f*f**(5\/8) assuming f is positive.\nAnswer: f**(501\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.2, 0.4, 0.06, -1.96, 2, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, f: 9, z: 4}. What is prob of picking 1 z and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 4*n**2 - 10*n - 17. Let d be x(-3). Solve 2*a + 0*a - d = k, -5*a = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1809.8 - -1810. What is the third biggest value in 2, -1\/7, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007032 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 1\/4*n**4 + 0 - 1\/20*n**5 + n**2 - 33*n + 1\/6*n**3. What is c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1042 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + (1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - o**2 - o + 2. Let l be p(0). Let q = 145 + -95. Suppose -4*s - 20 = 0, -s + l*s - q = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 161688, 646771, 1455244, 2587107, 4042360, 5821003, 7923036?\n\"Answer: 161695*a**2 - 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/149836 and -169\/3146556.\nAnswer: 3146556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 3*z**3 + 0*z**2 + 2*z**3. Let x be k(-1). Suppose -50*c + 4 = -48*c. Solve 0*y - 2*y = -3*s + c, x = 3*y + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/112556 and -27\/418.\nAnswer: 1238116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 477250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36879158 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13293\/(-4431))\/(1\/((-4)\/(-1))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/105338 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/9630 and 74\/19485.\nAnswer: 4169790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2 - 4*o - 3. Let t = 1 - 4. Let m(r) = r**2 + r + 1. Let w = 10869 + -10870. Determine t*m(p) + w*n(p).\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -42*u + 40*u + 18, 29 = 5*u + 3*g. What is the second derivative of -86*r**4 - 6*r + 1149 + u*r - 1210 wrt r?\nAnswer: -1032*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 16. Let z(u) = -2*u**2 + 35*u - 145. Let o be z(8). Calculate g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1149.1 and -1.2.\nAnswer: 1147.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g - 79*g**2 - 63*g**2 + 51*g - 25*g.\nAnswer: -142*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(396\/126)\/((-104)\/546)*2\/2?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111324 + -15324?\nAnswer: 63000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 3, f: 10, n: 2, b: 3}. What is prob of sequence fe?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2833*a**4 - 14952*a**4 - 11020*a**4 - 30326*a**4 + 5607*a**4 + (a + a**2 - a)*(-3 + 3 + a**2) to r + k*a**3 + b*a**4 + t*a + o*a**2 and give b.\nAnswer: -53523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21463 (base 7) to base 14.\nAnswer: 1d6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:31 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9622db - -e?\nAnswer: -9622cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -2)\/(2\/6). What are the prime factors of ((-6)\/(-4))\/(s\/44)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/144 and 25*7\/(-336) - (-10 - -8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1475547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/2101 (b) -5\/3 (c) 730\/53 (d) 2\/13 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3840 and 2640?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x = -829 - 790 + 1427 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 - -66?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -1\/3*z**3 - 4\/5*z**5 + 0*z**2 + 86 + 127*z + 0*z**4. What is the first derivative of b(u) wrt u?\nAnswer: -16*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315216364?\nAnswer: 2, 41, 1153, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -9*k - 1\/6*k**4 + 0 + 0*k**3 + 0*k**2. Let m(a) = 17*a. What is m(u(j))?\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -15, -19, -25, -33, -43, -55?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.287 in -2\/15, 154, 0.5, 0.4, 1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8889939.00298 + 15.00298. Let d = w + 8889946.000005. Let x = -22 + d. What is x rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c - 6*c - 10*c**5 + (-4*c**4 + 4*c**4 + 2*c**4)*(-6*c - 6*c + 3*c).\nAnswer: -28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by -2012389?\nAnswer: -141\/2012389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 1\/2, -10\/3, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3192229 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3))\/((-12)\/(-27)). Suppose -2*k + u*l = 34, 4*l - 3*l = 5*k + 72. Put 4, k, 1 in increasing order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 28 = -i, 151907*l - 151902*l = -i + 38 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4*6\/(-4))\/2. Let l be 1*f\/2*-2. Factor -2\/7*n**l + 2\/7*n**2 + 0 + 0*n.\nAnswer: -2*n**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 + 5*l - 38*l**3 - 3*l + 54 - 43 in the form x*l + a + b*l**2 + k*l**3 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:24 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273841 and 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5398.44 millilitres to litres.\nAnswer: 5.39844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1286 + 1288 + (1 + (1 - -1) - 2 - -66)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 37 = -0*v + g, 4*g = -8. Sort 0, 2, -3, v in decreasing order.\nAnswer: v, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 + 0.12. Let g = -4.95 + t. Which is the smallest value? (a) g (b) 2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 41 - 56 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Suppose -s = -5*y - 5*s - 2, -y - 4*s - 10 = 0. Suppose -y*a - 4*t + 286 = 0, o*a - 5*a - 3*t + 715 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Let w(c) = 83*c. Determine b(w(m)).\nAnswer: 249*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 11*u - u**2 - 3 + 0*u - 4*u**2. What are the prime factors of g(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427469.\nAnswer: 7, 79, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = -12*o + 19128. What are the prime factors of o?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 15*w**2 + 102*w + 13. Is l(20) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-39 + -3 - -35 - (-15 + 1))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2199267 is divided by 439852.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 39. Find the common denominator of 16\/5 and -4 + (-260)\/p*-1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281*t**6 - 74895*t**3 - 29771640*t**2.\nAnswer: 33720*t**3 - 449370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -148165 (base 12) in base 10?\nAnswer: -345821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9047503l in millilitres?\nAnswer: 904.7503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9992662 minus 93?\nAnswer: 9992569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3\/8, 3, -4 in ascending order.\nAnswer: -4, 3\/8, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x - 18 = 54*x. Let k be 6\/4 + x\/6*1. Solve k*h - 2 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 458*q = -468*q - 46, 3*c - 5*q = 37 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -296, -8, 53, -5.\nAnswer: -296, -8, -5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (222*b**3 - 127*b**3 - 114*b**3)*(-22 - 64 + 51) to a + d*b**2 + m*b + h*b**3 and give h.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**3 + 2*z**2 + 4*z + 3. Let i be h(-1). Let c be 3\/(-36)*(-3)\/(9\/i). What is the third smallest value in c, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**3 - w**2 - 5*w**3 - 8*w**3 to the form o*w + b + z*w**2 + u*w**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 2)\/((-2)\/4). Let t = 0.084 - 0.584. Which is the third biggest value? (a) y (b) 8\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 10 (c) -2\/171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*5\/(10\/(-88))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 2. Let a be 9\/15 - 7\/(-5). Suppose a + 0 = -2*n. Let k(m) = 1. Let h(b) = b**2 - 4*b + 4. Let s be h(4). Calculate n*d(q) + s*k(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*r - 14*r + 4201 = 801 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84233 - 84233.41209. Round u to three dps.\nAnswer: -0.412","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-38 - -6 - -21)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000104297 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3663996 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*z = 208*z - 78. Which is the closest to -1? (a) -4 (b) z (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*h**2 - 189*h wrt h?\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39651, -79223, -118787, -158343, -197891, -237431?\n\"Answer: 4*h**2 - 39584*h - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/z**(-1)*z))*z)**(-8)*(z*z**(-1\/6)\/z)\/z*z*(z**(2\/17)*z)\/z assuming z is positive.\nAnswer: z**(-4085\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15734 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g**3 + 35 - 13 - 2*g - 23. What is l(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 1. Suppose -a + 27 = -g*a. Is 0 + 2 - (-3 + a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 5*q + 4. Let h be l(-5). Suppose -h*c + 2*c - 2*d + 1672 = 0, c = d + 842. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*(k*k*k**(-6))\/k)\/k))\/k)**(7\/4))**39 assuming k is positive.\nAnswer: k**(1365\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from yyvvgevov.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3\/2, -70, 0.3, -2 in increasing order.\nAnswer: -70, -2, -3\/2, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -55943236 divided by -5\nAnswer: 55943236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2 + 47 = 0. Let n = -60 + 63. Suppose o*m - 3*m = h + 25, -5*m + 33 = -n*h. Solve 3*f - f + m = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k - 49876 + 156772 = 0. Is 118 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/35*(-7)\/1. Suppose -p = 2*x - d*p + 127, -4*p + 20 = 0. Round x to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804097482.\nAnswer: 2, 3, 73, 1835839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.97 - -0.03. Let u = -1594\/3339 - -342\/371. Which is the second smallest value? (a) o (b) 1\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12808, -25590, -38372?\nAnswer: -51154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9726 + 9726.4247. Let i = g - -0.0153. Which is the second biggest value? (a) -2\/3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1444421, -5777669, -12999755, -23110685, -36110465, -51999101, -70776599, -92442965?\n\"Answer: -l**3 - 1444413*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.37, 1\/6, -2, -1, 7, -0.2 in increasing order.\nAnswer: -2, -1, -0.2, 1\/6, 0.37, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or -154?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*r - r**2 + 123*r + 8*r**2 in the form o + c*r + f*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(-2*(sqrt(200) + -1 + sqrt(200) - sqrt(200)) + sqrt(200)))**2 - (1 + (sqrt(36)\/sqrt(2) + -4)**2 + sqrt(648) + (-1 + sqrt(648))**2).\nAnswer: -6192 + 1122*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049745 rounded to 7 decimal places?\nAnswer: 0.0000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - g + 4 = -4*g, 2*c = -5*g - 6. Is 130 - 6*c\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (2*sqrt(425) + sqrt(425))*5.\nAnswer: -4 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -624*f - 5603. Let j be o(-9). Solve -p - 5*y - 30 = -9, -p = 3*y + j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 5, 17\/40?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 7 - 2 - 158*i - 13 in the form j*i + y and give j.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101061 divided by -5319?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 4*n + 3*n)*(3 + 2 - n - 5)*(-8*n + 25*n + 9*n).\nAnswer: 104*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 1.5 (c) 1\/2 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 15*r**3 + 8081514*r**2 + 4848879*r - 12930408 = 0?\nAnswer: -538767, -8\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*v - 82 - 39, -v = 3*j - 363. What is the remainder when 1328 is divided by j?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**4\/12 - 2*y**3\/3 - 4*y**2 + 8*y. Suppose -2*p = 5*l + 36, -2*p = -3*l - 8 - 4. Give r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(117) + (0 + sqrt(117) + sqrt(117))**2.\nAnswer: 3*sqrt(13) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 - 14*c - 2. Let t(m) = 4*m**2 - 7*m - 1. Let o(s) = 3*h(s) - 5*t(s). Let y be o(8). Let q = -1 + y. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13950 by 93.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5540 + 4?\nAnswer: -5533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12493.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -48*s + 194. Let a be v(4). Suppose 10 = 2*d + 3*d. Solve -5*r = -a*j + 25, d*r = -2*j - 2 + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 362*n**2 - 360*n**2 + 60 - 60. Let f(y) = 183*y - 1. What is j(f(o))?\nAnswer: 66978*o**2 - 732*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.428+-6369.1145\nAnswer: -6369.5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 127*q**2 - 223*q + 12227. Determine o(128).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q**3)*(0*q - q + 0*q) - 2*q**4 - 23*q + 23*q.\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45976 and 37286536.\nAnswer: 37286536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0892 (b) 14.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/600 + z**5\/300 - z**4\/120 - z**3\/30 + 9*z**2 - 6*z. Factor w(d).\nAnswer: (d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 2*v**3 + 6*v**2 + 0*v**3 + 13*v**4 - 2 - 24*v**4 + 9*v**4 to the form d*v**2 + r + y*v + o*v**3 + j*v**4 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:00 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1006, 1008, 1012, 1018, 1026, 1036, 1048?\n\"Answer: o**2 - o + 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 2063210*f - 6189629\/3.\nAnswer: -(f - 6189629)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 9*k**2 + 2*k + 2. Let j(r) = 10*r**3 + 46*r**2 - 11*r - 11. Let n(f) = -4*j(f) - 22*w(f). Find the third derivative of n(h) wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -80. Let j = -1081 + 1126. Calculate the least common multiple of j and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14*c + 18 = -4*c. Sort c, 28, -28 in descending order.\nAnswer: 28, c, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23075549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nng when three letters picked without replacement from {l: 1, g: 1, n: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 2:15 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/((sqrt(324) + (sqrt(324) - (sqrt(324)*-2 - sqrt(324))) + sqrt(324) + sqrt(324) - sqrt(324)) + sqrt(324) - sqrt(9)))\/(sqrt(486)*-4*5).\nAnswer: -sqrt(2)\/7380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 93304498.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:39 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1256377*q**3*r - 2*q**3 - 4*q**2 - 40*q*r + 331357*q wrt r?\nAnswer: -1256377*q**3 - 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1092)\/63*(-27)\/12. Solve -40*m = -y*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t)**(-3\/10)*(t**(2\/13))**(-43) assuming t is positive.\nAnswer: t**(-4417\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -95. Find the common denominator of -37\/16 and 146\/88 - (-2)\/(m - -3).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*c**2*h*p*s**2 + 2560*c**2*h*p - c**2 - 2*c*h*s - h*s**2 - 926*s**2 with respect to p.\nAnswer: -75*c**2*h*s**2 + 2560*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 r when four letters picked without replacement from rnnrrrr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by 27696.\nAnswer: 13\/1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 61553.14.\nAnswer: -61557.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7102*m + 22. Let j(x) = 2*x. What is j(k(b))?\nAnswer: -14204*b + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = 11. Calculate the least common multiple of ((-135)\/(-20))\/((2\/f)\/1) and 63.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26096?\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) - (-84)\/16. Suppose -w + 2 = z, b*w = -4*z + 6 + 4. Suppose z = -4*v + 4*n + 232, -n + 0*n = -4*v + 232. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1322.8?\nAnswer: 1323.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -527, -557, -587, -617, -647?\n\"Answer: -30*f - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2723)\/33 - 2\/(-11). Let u = 83 + k. Factor 1\/3*y**2 + y + u.\nAnswer: (y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**3 - l**2 - 4*l - 3. Let s be (1 + -2)*(-5 + 7). Let r be k(s). Suppose r = w + 2*w. What is the greatest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 3*u + 0*u**2 - 2*u**2 + 6. Let k(c) be the first derivative of -c**3\/3 + c**2\/2 + c - 20. Calculate 3*k(t) - q(t).\nAnswer: -t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.01 + 1. Let d = -0.606 - -0.106. What is the second biggest value in -5, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55288, 110607, 165952, 221323?\nAnswer: 276720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45318 - -121322. Suppose 1513142 = 26*n - l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43244?\nAnswer: 2, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**7\/840 - p**5\/30 - p**3 + 7*p. Let j(v) be the second derivative of s(v). What is the second derivative of j(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 50813091.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3469316, -3469380, -3469444, -3469508, -3469572, -3469636?\n\"Answer: -64*u - 3469252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1+54755\nAnswer: 54756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3*h**2\/2 - 26*h + 2. Let f = -225811 - -225805. Calculate u(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-5) + -8*(-3009)\/(-510) - -5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 156\/(-42) - (-8)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-12 + 6 + 16 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6066 is divided by 1518.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*m**2*q**2 + 2*b**3*m**2 + 2*b**3*m*q - 2*b**2 + 41*m**2*q**2 + m*q**2 + 7*q wrt q.\nAnswer: -2*b**3*m**2 + 82*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Suppose 0 = -h*c - 12. Let r be 42\/(-49)*14\/(-3). Sort 3, r, c in descending order.\nAnswer: r, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1943 + 1944. Let l = 219 + -217. Sort l, i, -3, -14.\nAnswer: -14, -3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45.45+0.74\nAnswer: 46.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 72 = 3*u. Suppose u - 7 = o + 4*s, -3*o + 4*s = -158. Calculate the least common multiple of o and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2235 = u - 2*m - 2248, -2*m - 40 = -4*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 146833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let a(p) = p**2 + 4. Let q be a(0). Suppose 2*m + h - 2 - 2 = 0, -5*h - 22 = -q*m. Let n(y) = -m*y + 0*y + y. Calculate n(g(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - h**3 - 2)*(-h**2 + 5*h**2 - 6*h**2) + 2161*h**5 - 2159*h**5 + 19 + 7.\nAnswer: 4*h**5 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by 6\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.773 to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-25)\/(-45))\/((-126)\/5670)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/66 and -29\/65160846.\nAnswer: 716769306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/488340 and -95\/146502.\nAnswer: 1465020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156339 is divided by 1275?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/8)*n)\/(n*n\/((n\/(n**(-2)*n))\/n))*(n**1)**(-6) assuming n is positive.\nAnswer: n**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, -3, 2.\nAnswer: -3, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*v - 1, -1 = v - f - 0*f. Let o be v + 5\/7*7. Factor 0*a**2 - 6\/7*a - 4\/7 + 2\/7*a**o.\nAnswer: 2*(a - 2)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71171 (base 8) in base 3?\nAnswer: 1111012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20*p**3 - 2*p**2 + 1. Calculate the remainder when w(1) is divided by 156\/16 + 2\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 12*m - 52. Let f(t) = 6*t**2 - 59*t - 270. Let q(g) = -2*f(g) + 11*i(g). Calculate q(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 342181646 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (217\/(-2))\/(14\/(-28)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 4*q + 5*q. Let t(f) be the second derivative of 5*f**3\/6 + 3*f. Let a(d) = -11*d. Let o(z) = -6*a(z) - 13*t(z). Determine o(m(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:50 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 143*v. Let u(p) be the first derivative of -p**2\/2 - 3*p - 1167. Determine y(u(g)).\nAnswer: -143*g - 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11559573 and 1503?\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 1. Let m be s(6). Let v = 25 + m. Solve 0*j = -2*j + v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -1145, -2595, -4635, -7271, -10509, -14355, -18815?\nAnswer: -23895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 554 + -26?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135040576\/74307 - -4\/24769. Let z = 1798 - n. Find the common denominator of 4190\/(-195) + -3*(-2)\/39 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 15*g**2 + 58*g + 13. Calculate u(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -55*k + 22. Let j be l(1). Is 2274\/(-9)*j\/22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 17 - 17 - 2*g - g - 3*g + 4*g - 4*g - g - 2*g - g + g + (4 - 5 + 0)*(-2 + 2 + g) - g + 0*g + 0*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 - 224 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6696)\/504 + 14 + -1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -8 + (8 - -2 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**3 - 437*n**2 + 3747*n - 74. Determine y(32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o. Let i(k) = k**2 - 9*k - 25. Let x be i(12). Suppose o = -4*g - 5*q + 2*q + x, 3 = 3*g + 4*q. Is 3 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.019 - 0.719. Which is the closest to 0.1? (a) 2\/17 (b) g (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(171) + (sqrt(171) - (sqrt(171) + sqrt(171) + 1*sqrt(171) + sqrt(171) + sqrt(171))))*3 - sqrt(171))*1)\/(-3*(sqrt(441) - -3*sqrt(441)*3)).\nAnswer: -2*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let h(m) be the first derivative of -37*m**3\/6 - 9*m + 13. Let c(g) be the first derivative of h(g). What is b(c(t))?\nAnswer: -2738*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2940*c**3 - 1225*c**3 - 1456*c**3)*((3 - 3 - 2*c)*(0 - 2 + 1) - c - 13 + 13) as w*c + f + m*c**3 + h*c**2 + v*c**4 and give v.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -12*o**2. Let j be (4 - -2) + -2 + -3. Determine h(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101109463?\nAnswer: 7, 13, 149, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u - 5. Suppose 5*r + 2 = -8. What is the units digit of q(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((168\/(-24))\/7)\/(5\/((-375)\/20))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -0*p + 132. Let a(f) = -f**3 - 4*f**2 - 2*f - 2. Let t be a(-5). Is p\/11*t\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -12.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*c*k*z**3 - 12*c*z - 2*k*z - 565*z**3 with respect to c.\nAnswer: -70*k*z**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 14 = -3*n - 18, -q + 11 = -12*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3026942, -12107100, -27240690, -48427706, -75668142, -108961992?\n\"Answer: u**3 - 3026722*u**2 + u - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*f**3*l**3*n + 7*f**3*l + 4*f*l**2*n + 2*f*l*n + l**3 wrt l?\nAnswer: -672*f**3*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1020111201110 (base 3) to base 8\nAnswer: -2410125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0573 - 3.9427. What is the third biggest value in -0.03, 3\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 6 = 0. Let a be (-6 - (-5 - -2))*-2. Suppose -y*u**2 - 2 - a*u + 4 - 3 - 3 = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/18155 and -151\/54029280.\nAnswer: 54029280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 7*n - 8, 2*j + 12*n - 11*n = -9. Which is the second biggest value? (a) -0.2 (b) -1\/4 (c) 2\/7 (d) -3\/8 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 - 102*f - 50. Let p(i) = 5*i**2 + 168*i - 649. Let d be p(-37). What is c(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16134 rounded to the nearest 100?\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 81?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**4 + 3*r - 3*r + (253 + 151 + 359)*(2 - r**2 - 2)*(2*r**2 - 5*r**2 + 2*r**2) to g + f*r + q*r**2 + k*r**4 + l*r**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:26 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 61. Suppose 2*y + 4 = 5*m, d*m + 11 = 5*y - 0*y. Solve 2*q - y = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 2. Let h be a(3). Let t = 1 - 1.07. Let l = -0.03 + t. What is the smallest value in 3, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r + m + 22, -4*r + 62*m + 7 - 3 = 60*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 5*p + 15*p + 86 to g*p + q and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3481789?\nAnswer: 67, 157, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-21)\/56*(-8)\/(-42)). Suppose c*o = 172 + 402. Find the second derivative of -36*i + 17*i**4 - o*i**4 - 8*i**4 wrt i.\nAnswer: -384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n + 7*n + 11*n. Let x(k) be the third derivative of k**6\/720 + 5*k**4\/12 + k**2. Let s(w) be the second derivative of x(w). Calculate s(q(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*b**2*i**2 + 5*b**2*i + 9*b**2*r + 2*b*i**2 - 18*i**2*r**2 wrt r.\nAnswer: 9*b**2 - 36*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2873*u**4 + u**2 + 19074.\nAnswer: 11492*u**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 5?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/15)*y)\/(y\/(y*y**(-14\/3))) assuming y is positive.\nAnswer: y**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Suppose 4*k = 2*n - 10, 3*n + 3*k + 3 = 9. Let x(s) = -5*s**2 + 4*s**2 - 3*s + n*s. Give r(x(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 + 0*y + 0*y)*(-3 - 2*y + 3) + (93*y - 52*y - 4 - 51*y)*(-y**2 + y**2 - y**2) to w*y**3 + u + m*y + b*y**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2902 - -238519?\nAnswer: 241421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*c - 5342 = 0, 0*w + 4*c - 5333 = -3*w. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-6*t - 3 + 6*t - 4*t) as l*t + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 333169.315 times -0.3\nAnswer: -99950.7945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-65)\/182*1*-718. Let x = p - 256. Let n = -3.005 - -0.005. Which is the closest to x? (a) -4 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (695 + 752 - 1825)*(j + j + 2*j) in the form c + m*j and give m.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72283 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.3 plus 139991235?\nAnswer: 139991171.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.195 times -32.71\nAnswer: -6.37845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = a - 2*r - 1621, -5*r = -5. Suppose 20*u = a + 57190. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5478 divided by 5?\nAnswer: -5478\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3\/(2*42\/(-112) + (-8454)\/(-11264))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from {j: 4, w: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 13*h = -5. Let i = 3 + -5. Which is the third smallest value? (a) h (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17.043. Let n = o - 0.0430108. What is n rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25c (base 16) in base 9?\nAnswer: -741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 752754, 752753, 752752, 752751?\n\"Answer: -f + 752755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 3955426?\nAnswer: -1\/1977713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-2)\/(-10))\/(60\/200)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(63) + (sqrt(77)\/(sqrt(11)*2) - sqrt(7)))**2.\nAnswer: 2527\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -227801, -227802, -227803, -227804, -227805?\n\"Answer: -k - 227800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 0*f**2 + 2\/3*f**3 - 56 + 0*f. Let b(y) = -29*y - 1. Calculate n(b(l)).\nAnswer: 1682*l**2 + 116*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*1.66107.\nAnswer: 1.494963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 2*r + 85 + 419 + 294 to n + i*r and give n.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 914 + 305?\nAnswer: c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:41 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45170741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223 at most -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.213 take away 875?\nAnswer: -874.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19497044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 21*l - 8. Let a be o(-10). Suppose 4*z + 0*v = v, 0 = -z - a*v. Suppose z*d + 120 = 2*d. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109832407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*v + 72*f**2 + 4*f - 87*v wrt f.\nAnswer: -4*v + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*w + 137*w = 385. What is the thousands digit of ((-1470)\/(-24))\/(w\/1848)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -113. Let k = -3829\/99 - 227\/33. Let q = k - u. What is the closest to -1 in -12, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1561 and 9589?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.34 + -1.34. Let x be ((-2)\/4)\/(0 + -2). Sort 4\/7, x, j in descending order.\nAnswer: j, 4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 5*g + 4*g**2 + 4*g**2 + 4 + 3 - g**3. Let j be i(5). Is 2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 76, 137, 222?\n\"Answer: 12*m**2 + m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m**3 + 5*m**3 + 5*m**3 - 3 + 2*m - 3*m**2 + m. Let b be l(3). Let c be (-1 - -2)\/(2\/14). Solve -b*n = -c*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8335785, -8335741, -8335693, -8335641?\n\"Answer: 2*s**2 + 38*s - 8335825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 35 + 23. Let k = 60 - h. Put 5, k, 0, -4 in descending order.\nAnswer: 5, k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*s + 46, 0 = 2*x - 0*x + 3*s - 11. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/27 and -88\/23625?\nAnswer: 23625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(171) + ((sqrt(931) + 0 - sqrt(931)) + sqrt(931) - (sqrt(209)*-1 - sqrt(209) - sqrt(209))\/sqrt(11)))**2.\nAnswer: 64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*m + 5*m**3 + 5*m - 11*m + 4*m - 4*m**3 - 16*m**2 as a*m**2 + c + i*m + q*m**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1615 from 90.\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3312 + -10?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Let x be -4 + (-1)\/((-2)\/12). Let p(r) = -i*r - x*r + 6*r + 0*r. Let q(g) = g**2. Calculate p(q(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.117 - -0.117. What is the nearest to 0 in -1\/8, c, -3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-17 + -18 - -11 - -28) + (-131 - 2).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12954*u - 3533.\nAnswer: -12954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 1. Let k be ((-1)\/2)\/(5\/10). Let a be (5\/(-10))\/(k\/(-2)). Let x be v(a). Solve 0 = -4*h - 1 - x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:45 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5278 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 18 - 22 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2134 and 308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -17. Suppose -v*d + 4256 = 10*d. Calculate the common denominator of ((-588)\/d)\/(3\/2) and 59\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63932 * 0.5.\nAnswer: -31966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397012*r**4 + r**3 + 9970098*r**2 wrt r?\nAnswer: -9528288*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45455 (base 6) in base 2?\nAnswer: -1100100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) + -2*sqrt(10)*6 + sqrt(10))\/(sqrt(605) + (sqrt(605) - (sqrt(605) - -1*sqrt(605)*-4) - sqrt(605)))*6.\nAnswer: -15*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 14 = 6*r, x + 26381*r + 16 = 26377*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 5*g**3\/3 + 11*g + 56. Let i(l) = l**2 + 2. Let z(p) = -22*i(p) + 4*w(p). Let j(n) = -5*n**2 - n. What is z(j(q))?\nAnswer: -50*q**4 - 20*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -826878 divided by 6\nAnswer: -137813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7 + 2 - 3*m - 8*m + m**2 + m. Let d(u) = -u**2 + 11*u + 6. Let r(v) = -6*d(v) - 7*w(v). Determine r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -2\/11, -2\/17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5978?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 1. What is the smallest common multiple of t and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 911 - 1758. Let m be 209\/o + (-4)\/22. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 9*t**2 + 6*t - 7. Determine i(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/28 - 34*n**3\/7 + 1734*n**2\/7 + n + 25. Suppose d(z) = 0. What is z?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 36844414?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1016 and 2286.\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (313 - 309)*1\/(-2). What is the closest to i in 0.5, -3, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + k + 3. Suppose 2*y - 12 = -3*n - 0*y, 0 = -4*n - 2*y + 16. Let u be 2\/(-12) - (-22)\/(-12). Let i be (u - 3)*((-15)\/5 + n). Give r(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 33*x**3 - 31 + 31 - 20*x**2.\nAnswer: -33*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 85.31206.\nAnswer: -94.31206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 23672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7561049, -15122091, -22683131, -30244169, -37805205?\nAnswer: -45366239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577810 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -10641?\nAnswer: 10635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/155 and 16\/31.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t. Let c(z) = 9*z - 36. What is w(c(y))?\nAnswer: -63*y + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10050330 and 492?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(180) + -5 + -1*sqrt(180)*-1)*-5*-4.\nAnswer: -100 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28601861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56150\/91 - 617. Let c = q + -209\/819. Are c and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/(-144)*1*32\/(-80)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 4, -160, 27, 8 in descending order.\nAnswer: 27, 8, 4, 2, 1, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 - -6)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + z**2 - 14. Give l(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/6*189\/175644*41?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -89. Let s(r) = -4*r + 10*r**3 + 4*r - 9*r**3 - q*r**2. Suppose 4*l = -0*l - 8. Let x(o) = -4*o**3 + 9*o**2. Determine l*x(m) - 9*s(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -105. What is the nearest to -1\/7 in 1, 6\/5, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 + 5.98. Let f = -269232.619942 - -269232. Let j = z - f. Round j to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 4.9. Let m = -4 + g. Which is the closest to m? (a) 1 (b) 0.4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 335*r**3 + 50*r**2 + 55*r - 60. Let w = -49 + 88. Let v be m(w). What is v rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 384*y - 1490*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -149, -240?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-126))\/(10\/(-7))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*i + 32 = 0, -4*w + 5*i = -0*i - 28. Calculate the greatest common divisor of 96 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11727, -3630, -18985, -34338?\n\"Answer: z**2 - 15360*z + 27086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 17*s + 4 = 0. Calculate the highest common factor of 3 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 97 - 183. Calculate the greatest common factor of 210 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.2769959 to 1 dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.301 - -4.301. Let p = -105 + 102. Sort 122, p, i in decreasing order.\nAnswer: 122, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(24\/(-12))\/(4\/10). Solve 3*i + 0*i + 11 = 4*m, 3*i - 7 = -s*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113221011 + 331?\nAnswer: -113220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2 + 4744*y - 14250 = 0?\nAnswer: -2375, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1020874 - 2308905 = -23*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61191*q**2 + 6*q**3 + 30596*q**2 - 90*q**3 + 30595*q**2.\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 1. Let c be w(-1). Let f(s) = -s**3 + 4*s**2 + 5*s - 2. Is 9 a factor of f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5289*p + 287. Let x(b) = 37*b + 2. Give -287*x(d) + 2*y(d).\nAnswer: -41*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 - -0.7. Sort 0.2, 1, m in increasing order.\nAnswer: m, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*f - 25 = 0, -8*a + 3*f = -13*a + 15. Suppose 3*i - 5*m + a = 16, 0 = i + m. Solve -3*s = 4*l + 10, i*l = 3*s - 2 + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13165843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*651.\nAnswer: -117.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2011, 14888, 49785, 117712, 229679?\n\"Answer: 1835*x**3 + 32*x + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmmsmmmss. Give prob of picking 2 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28b + -3?\nAnswer: -28e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 3*s**4\/4 + 49*s**3 + 96*s**2 - 46080*s - 3544. Find z such that l(z) = 0.\nAnswer: -32, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o\/o**29))\/o)\/o*(o*o**(-2\/27))\/o)\/((o*(((o*o**20*o*o)\/o)\/o*o)\/o)\/o**(-1\/8)) assuming o is positive.\nAnswer: o**(1253\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 (base 9) in base 6?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5 - 630*a**4 + 10*a**3 + 3150*a**2 - 8*a - 2520 = 0 for a.\nAnswer: -315, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13459*l - 2*q - 5 = -13462*l, 0 = 4*l + 5*q + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuhhhuah.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2780 and 14.\nAnswer: 19460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3154154684 to the nearest integer?\nAnswer: 56162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13*((-25298)\/1014)\/139\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 6 + 20. Put o, 5, -5 in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -5, 8, 0.2, 16, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -9, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/36*30\/(150\/10).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2208666 divided by -368111.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*0.2867.\nAnswer: -3.4404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3)*r**7*(r\/(r\/r**(7\/4)))\/((r*r**(-1\/9)*r*r*r)\/r))**(1\/9))**(-27) assuming r is positive.\nAnswer: r**(-259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 18. Let y be 145\/(-11) - (-4)\/22. Let b be t(y). Let c be (21\/(-15) - 3)*b. What is the highest common factor of 88 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/231 - ((-16)\/(-28) - (-12)\/21).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -460 - -468. Let g = -28 + 31. Sort g, 5, j, 0.\nAnswer: 0, g, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t*t**(-2\/5))*(t*(t**(2\/3)*t)\/t*t)**(11\/4))\/((t*t*t\/(t**(-2\/11)\/t)*t)\/(t**3*t)*t*(t**6*t)\/t*t*(t\/((t\/t**(-6))\/t))\/t*t) assuming t is positive.\nAnswer: t**(-74\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3067*0.4.\nAnswer: 1226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 405a - 5?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41370 and 260820?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 41*s + 241. Let l be k(7). Solve -t = -l*t, -4*m = -3*t + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28969385, 57938768, 86908153, 115877540, 144846929, 173816320, 202785713?\nAnswer: 231755108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472788557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 38, 63, 122, 227?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1975ab (base 14) to base 11\nAnswer: -568134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -15*q**4 + 19239*q**3 - 238518*q**2 - 1921212*q + 1234440 = 0.\nAnswer: -6, 3\/5, 18, 1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37628, 35802, 33976, 32150, 30324, 28498?\n\"Answer: -1826*f + 39454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/38 and ((-2)\/24)\/(11\/(-737)) - 7.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25758.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2 - 8. Let d be (-6)\/(o - 30\/(-8)). Suppose 4*l = -0*l - 28. Is l bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26154826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488 = 251*m + 4500 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5001 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*t + 564*t + 304 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 10, y: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(-1*sqrt(810))*-5)\/((sqrt(9) - sqrt(45)\/sqrt(5) - sqrt(9))*-6 - (sqrt(9)*-3 + sqrt(9) + sqrt(9))*-2).\nAnswer: 5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j + j + (-2 - 2 + 3)*(0 - 3*j + 0))*(-5 - 2 - 12).\nAnswer: -95*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-7))\/((-108)\/99)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 65*t**2 + 500*t + 12500.\nAnswer: (t - 50)*(t - 25)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/112 and -24\/10573?\nAnswer: 1184176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let z be k(-2). Let v = -1.5 - 0.5. Let a = 20469 + -20469.1. What is the smallest value in a, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:50 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 5*d**2 - d + 5. Let h be t(5). Let o = 29 + -14. Solve -o + h = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a - 130. Let j be i(-15). Suppose 37*p - 32*p - 2*r = 8876, p - 1786 = -j*r. List the prime factors of p.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1541*o**2 + 177 + 0*o + 0*o.\nAnswer: 1541*o**2 + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3082\/11 - 280. Suppose -5*d - 5 = 7*o - 2*o, 2*o + 14 = 4*d. What is the second biggest value in 0.2, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - -47. Let i = 132 - k. 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: b\"What is the yth term of -1139, -1137, -1135, -1133, -1131, -1129?\n\"Answer: 2*y - 1141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 905850 divided by 301950?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 1. Let t be c(-9). Suppose -3*q + 1074 = 3*r, -r + 8 = t. Is 40 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1*z*z**(-2\/11)\/z)\/((z*z*z\/z**(1\/4))\/z*z*z**(-5)))**(-39))**11 assuming z is positive.\nAnswer: z**(-5265\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -30.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1532277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13198029707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = -2*p + 87, p - 39 = 3*d. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(136\/10)\/(-2). Let a be l\/6 + 2\/6. Let z be a\/(-3) - (-8)\/6. What is the third smallest value in z, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14369613 divided by -6?\nAnswer: -4789871\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 6257329428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 4 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -171 + 141. Let z be (-568)\/l + (-18)\/30. Which is bigger: 19 or z?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 560 - 119. Calculate the greatest common factor of 98 and j.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/15)*m*m\/(m*m**(2\/31)))**(-2\/23) assuming m is positive.\nAnswer: m**(-994\/10695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -302? (a) -0.3 (b) 1 (c) -2\/11 (d) -4 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15977080*g**3*s + 13501*g**2 - 4376*g*s wrt g.\nAnswer: 95862480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3684011 microseconds in nanoseconds?\nAnswer: 368.4011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(345\/414)\/((-10)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6598, 13202, 19806, 26410, 33014?\nAnswer: 39618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1404*y**3 - 1565*y**2 + 24*y + 4. Let f(m) = -1404*m**3 - 1564*m**2 + 18*m + 3. Let u(d) = 4*f(d) - 3*i(d). Find the third derivative of u(v) wrt v.\nAnswer: -8424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/5 - 5815204*l\/5 - 4227074695202\/5 = 0.\nAnswer: -1453801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/4 - 1323*n**4\/4 - 197855*n**3\/2 + 199179*n**2\/2 + 395711*n\/4 - 397035\/4 = 0.\nAnswer: -865, -459, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7601588.\nAnswer: 2, 1900397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2. Let v(f) = -f - 659. Calculate v(b(p)).\nAnswer: -p**2 - 659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*z - 5. Suppose -3*p + z*p - 8 = 0. Suppose -3*f - w + 18 = -4*w, p*f - 2*w = 16. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1845 divided by -369.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-11)\/33 + (-1779 + 11)\/(-17)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w - 0*w - 2*o, -2*w - 3*o + 15 = 0. Suppose 2*k + 9 = w. Solve -k*n = -4*u + 3, -3*u - u = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 55*b**3 + 16969995*b**2 - 27769270*b - 12341880 = 0.\nAnswer: -308547, -4\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 4*q**3\/3 - 15*q**2 - 5*q - 4. Let n be l(4). Solve 6*x + 5*f - 25 = x, -n*x + 5*f + 10 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6255645 (base 7) to base 10\nAnswer: 753555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*12\/176*-2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2510, 2490, 2470, 2456, 2454, 2470?\n\"Answer: t**3 - 6*t**2 - 9*t + 2524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**3 - 1 + 1)*(-18*t + 3 - 3 - 150*t) to the form r*t + k + d*t**4 + h*t**2 + z*t**3 and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l + 4*l + 3*l)*(3*l - 2*l + l + (-l + 2*l + 0*l)*(1 - 1 - 3)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 875 + -843. What is the least common multiple of 64 and d?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370833124 is divided by 5259?\nAnswer: 5257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-697*a - 4001 + 4001)*(1 + 1 - 1)*(1 + 0 - 2)*(-2 + 3 - 2)*(3 + 1 - 5).\nAnswer: 697*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10131002 + -111?\nAnswer: -10131113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 - 21*p**4 - 41*p**3 - 6*p**2 + 16*p = 0.\nAnswer: -8, -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/3 - 26\/15. Let l(n) = -4*n + 1. Let d be l(0). Which is smaller: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -23. Let v(k) = -10*k + 128. Let s be v(13). Sort -8, s, t, 2 in decreasing order.\nAnswer: 2, t, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/42)\/(10\/(-15)))\/((-12)\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14\/15, 5, -9, -4, -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*o - 3*m, -2*o - 4 = m + 3. What is the tens digit of o\/10 - 522\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus 41203?\nAnswer: 41201.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1331 divide 691993555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31 and -3?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 39 = -3*l. Solve 2*n + 10 = 0, -n + 6 - 2 = l*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeh when three letters picked without replacement from {e: 12, l: 3, h: 1, b: 2, x: 1, q: 1}.\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 - 917*u**3\/4 - 690*u**2.\nAnswer: u**2*(u - 920)*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 621781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 - 129\/(-6). Suppose 5*a = -2*h - 0*a + 38, -h + k = a. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694 is divided by 100.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 151774452 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = 6*l. Let m = -0.21 + 0.11. What is the closest to 2\/5 in l, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7528 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17186 is divided by 68?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1872))*3)**2 + 3 + (((sqrt(208) + 2 - sqrt(208))**2 - sqrt(208)) + -1)*4.\nAnswer: -16*sqrt(13) + 16863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1468, -2416, -2534, -1510, 968, 5212, 11534?\nAnswer: 20246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -1, -94, -7.2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x - 62. Give a(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18136.8565 times -1?\nAnswer: 18136.8565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 60*t**2 - 63*t + 227. Calculate p(59).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 171.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 957843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2825)\/(-10170)*2\/(2\/((-16)\/20))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/6 - 3*c**2\/2 - 3*c. Let g be v(-9). Suppose -129 = 3*k - g*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Suppose g = 3*a - a. Solve -10 = o - 5*d, -5*d + a*d = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*y**4 + 4 + (y + 3 - 3)*(-y**2 - y**3 + y**2) + 0*y**4 + 2*y**4 - 4*y**4 + (y**3 + 0*y**3 + 2*y**3)*(2 + y - 2) + 7*y**2 - 7*y**2 + 6*y**4.\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102200110110120 + 1?\nAnswer: -102200110110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 2*f + 14. Let h be o(-4). Let y be h\/(-12) - 2\/((-8)\/66). Let w be ((-32)\/12)\/(1\/(-18)). What is the highest common factor of w and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - o**3 - o**3)*(2*o**2 + 5 - 5) - 4*o**4 - 2032*o**3 + 2032*o**3 + 394*o**5.\nAnswer: 390*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - a + 18 = 2*r, 5*r - 22 = a. Let t be ((-12)\/9)\/((-9)\/54). Solve -t = -r*x + 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/7 + (-5)\/(15\/21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 15*n**2 - 15*n + 15. Determine v(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -547?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5927 + -840.\nAnswer: -6767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 420, 485, 556, 627, 692, 745, 780?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) 0.06 (b) 0.01 (c) -2\/9 (d) 0.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-315))\/(2\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569644561?\nAnswer: 17, 5147, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -2, 17, 1, 27, -3.\nAnswer: -29, -3, -2, 1, 17, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:28 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n**2*q - 2*n*q + 3135*n + 328491*q + 3 wrt n?\nAnswer: -6*n*q - 2*q + 3135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 40*k**2 - 39. Let q(w) = 14*w**2 - 13. What is -11*q(a) + 4*s(a)?\nAnswer: 6*a**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 - 148. Let a be (-1 - 0 - -3) + -250. Is p + (1 - a\/1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3879781 is divided by 191.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62036328 is divided by 2253?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:50 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11621.94g?\nAnswer: 11.62194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.745122 millimeters?\nAnswer: 6745.122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -122 in 10, -2\/11, 3, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.85698 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 25*f**2 - 21*f - 126. What is the remainder when d(-5) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a - 5. Let s be h(-3). Let q(u) = -2*u**3 - 7 + 9*u**2 + 3*u - s*u + 11*u**3. Let c(z) = 5*z**3 + 5*z**2 - 4*z - 4. Give -7*c(b) + 4*q(b).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218*p**3 - 3114*p**2 - 69 + 3114*p**2 with respect to p.\nAnswer: -654*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79\/268 + -3\/67. What is the nearest to 0.2 in w, 3, 4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-60) + (-776)\/96 - 58. Put 0, 2\/11, -2\/3, r in descending order.\nAnswer: 2\/11, 0, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65815 is divided by 5479?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*o - 20532 + 6660 - 31076 = -9196 for o.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541213 is divided by 403?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6804 divided by 4?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 27180 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -38 + (-10 - -11) + 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k*k*k*k**(-11)*k)\/k)*k**(-6\/11))\/(k**2)**(2\/9) assuming k is positive.\nAnswer: k**(892\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 351341\/463683 + -2\/14051. Let j = -2\/135787 + -5566817\/30552075. Let a = 6662\/1575 + j. Find the common denominator of n and a.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1850713 is divided by 8299.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -43. Suppose -3*h = -4*h - m*n + 1, -4*h + 12 = 4*n. Let k(c) = c**2 - 5*c + 2. Let b be k(5). Solve b*o - 10 = h*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6449149*s**4 - 11375246.\nAnswer: 25796596*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Divide -770 by -99051.\nAnswer: 770\/99051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -163, 1310, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-16) + 6702\/2040 + (7 - 10). Sort h, -0.2, 1 in decreasing order.\nAnswer: 1, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/9)\/4)\/(17*34\/39015)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 399916644 divided by 99979161\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from qzlzgjo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8549112 and 3339.\nAnswer: 179531352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvxlvxvllvlxsxu. What is prob of picking 3 l and 1 x?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27399*i - 6*i**2 - 27399*i + 30)*(-2*i + 2*i - 2*i**3) + i**5 - i**5 - i**5.\nAnswer: 11*i**5 - 60*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (1 - 5)\/(-2). Suppose 12 + 36 = q*r. Let p = 14 - r. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3*n = -1, 20*h + 10997 = -4*n + 11337 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -3 + 1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8832 and -1.51.\nAnswer: -13336.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - d + 1. Let n(y) = 3*y**2 + 1 - 4 + 5*y + 64*y**3 - 63*y**3. Let m(p) = -2*p**3 - 21*p**2 - 27*p + 3. Let a be m(-9). What is a*r(h) + n(h)?\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40379 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(3\/8)\/z)\/z*z)**5)**(-2\/25)\/((z**(-1))**(-7))**(-7\/5) assuming z is positive.\nAnswer: z**(193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -14375.\nAnswer: -2875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -189913 - 0.1?\nAnswer: -189913.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 10. Does 4 divide g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*d - 30. Let r be d\/(-30) - 70\/(-6). Let p = -16 + r. Which is bigger: -5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 53 - 19. Let u be (2\/(-12))\/(12\/g). Which is the nearest to u? (a) -1\/4 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553.2892ns in minutes?\nAnswer: 0.00000004255482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 + 6.1. Let z = f + -3.7. Which is the smallest value? (a) -0.1 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + 39\/9. Factor -7*b**2 - 3*b**2 + 5*b + r*b**2.\nAnswer: -5*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 + m**2 - m - 1. Suppose -q = -5*t + 2 - 4, -3*q - 4 = -5*t. Let l be k(t). Put l, 1, 3 in ascending order.\nAnswer: 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -9, -5, 7, 27, 55?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.039220506155 to seven decimal places.\nAnswer: 0.0392205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33b07 - -a?\nAnswer: 33b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88430\/(-333)*(-9)\/(-498). Let r = 1\/1245 - c. Determine l so that r*l - 4\/5*l**2 + 28\/5 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/17 + 367\/102. Let n = 5\/2 - d. Let t = 1.02 + 0.98. Which is the biggest value? (a) -0.5 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7738\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010011100 - 11100011?\nAnswer: -10010101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -0.2 (b) -2\/15 (c) 1 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 2 - -2) + (-34 - -33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 37*g**3 + 6*g**2 - 19*g + 6. What is the hundreds digit of b(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9.68, -0.2, -23, -64, 2\/7?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44677314 + -0.2.\nAnswer: -44677314.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185396 is divided by 184990?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzyezzzeyyezezy. Give prob of picking 1 e, 1 z, and 1 y.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 1, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45 and 164773.4065127.\nAnswer: 164728.4065127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 441\/((-7)\/(3395\/(-15)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 30 = -w. Suppose 5*r + 5*y + 0*y = -10, 3*r + w = -4*y. Let v be ((-672)\/(-126))\/(5\/15). What is the highest common divisor of r and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*d + 2*d**3 + 31*d + 3*d**4 + 87*d wrt d.\nAnswer: 36*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235318314 minus -4?\nAnswer: -235318310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480 minus 6.1?\nAnswer: -3486.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4787534, 4787538, 4787542, 4787546, 4787550, 4787554?\n\"Answer: 4*n + 4787530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 201522, 403042, 604562, 806082, 1007602?\n\"Answer: 201520*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 10*p. Let u be k(-6). Let t(i) = i**2 - 11*i + 2. Calculate t(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/96 smaller than 28\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 18609312?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -228 by -57.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**4\/12 - y**3\/6 + y**2. Let p = -9754 + 9750. Give m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**5 + 32*t**3 + 37*t**3 + 17*t - 11*t**3 - 93*t wrt t?\nAnswer: -60*t**3 + 348*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(12)\/sqrt(3)) + (sqrt(19) + (sqrt(190) + (-2*sqrt(190) - sqrt(190)) + sqrt(190))\/sqrt(10))**2 - (sqrt(931) + 2)*3*-3.\nAnswer: 18 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6696192564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1418208 millimeters?\nAnswer: 141820.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 5*l + 6. Let a(k) = k**2 - 17*k - 22. Let y be a(18). Let q be s(y). Factor -104*n**3 + 109*n**3 - 5*n**5 + 7*n**q - 2*n**2 - 5*n**4.\nAnswer: -5*n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from noowdzzodawwdndn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, 445, -4, 2 in decreasing order.\nAnswer: 445, 2, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 12 + 4 + 5*i**3 - 6*i**3 + i - 7*i**2. Let m be a(-8). What is the common denominator of -3 - (69\/m - 3) and -73\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 455*q**3 - 14 + q**2 + 257*q**3 + 220*q**3 to g*q + j*q**3 + l + f*q**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/145*25)\/((-115)\/1).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26012?\nAnswer: 2, 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*h = -0*h + 42, 4*h - 16 = 0. Let v be (-6 + 5 + k)*-17. Let u = -97 - v. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -535?\nAnswer: -4\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9452, 2\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21871340.\nAnswer: 2, 5, 163, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16*c = 952. Suppose 8*v + c = v. Let w(q) = -3*q - 5. Let b(j) = -j. Let t(a) = -2*b(a) + w(a). Give t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (21 - 29) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3249 = -439*t + 47076 + 4902 for t.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*a - 17. Let m be ((-1)\/3)\/(a\/(-936)). What is d in -9\/2*d**2 + m*d - 6 + 3\/2*d**4 - 3*d**3 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 6*v**2 - 4*v + 4. Let n be p(6). Let h = -13 - n. Suppose -3*g = -25 + 10. Solve 20 = h*c - 2*c - l, 3*c - g = 2*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 28*s + 14*s - 3*s - 3*s + 7*s - 2*s + 1 - 1 + (-4*s + 3*s - s)*(0 + 0 - 2))*(186*s - 98*s - 91*s).\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1*(-8)\/(-28). Let t be 2 + 11*3\/(-18). Let c = 10 + -10.02. Sort c, z, t.\nAnswer: z, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6 + 0 - 5*p**4 + 0*p**3 - p**3 - 2*p - p**2 in the form x*p**4 + v*p**2 + j + u*p**3 + g*p and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071383381 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(112) - (sqrt(112) - -5*sqrt(112))))*-6*5*3)**2.\nAnswer: 1620000*sqrt(7) + 22882500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 + b**4 - 5*b**4)*(1057*b - 35*b - 315*b) - 3*b**5 - b**5 + 5*b**5.\nAnswer: -706*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8\/9, 1\/7, 0.3, 4\/19 in decreasing order.\nAnswer: 3, 8\/9, 0.3, 4\/19, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -703*m - 542*m - 496*m + 671*m - 436*m as q + i*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 58.154 * -1.67\nAnswer: -97.11718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, 5, 0, -1753 in ascending order.\nAnswer: -1753, -19, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 3*q**2 - 5. Let a(y) = -3*y**3 + 2*y**2 + 6. Determine 5*a(o) + 6*m(o).\nAnswer: -3*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**5 + 6*g**4 - 4*g**3 + 4*g**2 - 2. Let y = -57 - -61. Let h(r) = -r**3 - r**2 + 1. Let p(n) = y*h(n) + 2*x(n). Determine f so that p(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/387*6\/4 - -1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.345991 to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3202446*a**3*k + 23004*a**3 + 2*a**2 - 2*a*k**2 - a*k + 2*a + 4293 wrt k.\nAnswer: -3202446*a**3 - 4*a*k - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 5 - 5 + (-1 - 2 + 1)*(-1 - h**4 + 1) + 0*h**4 + 5*h**4 - 3*h**4 + (-1 + 4 - 1)*(-7*h**2 - 2*h**4 - 135 + 135).\nAnswer: 2*h**4 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10508939*a - 2570445 wrt a?\nAnswer: -10508939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 3*z**2 - 5*z - 3. Let g be x(4). Let l = g + 153. What is the highest common divisor of 20 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34*5\/2*(-10)\/50. Put 1, m, 7 in decreasing order.\nAnswer: 7, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k = -39*k + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = 2*g - 288, -4*g + 2*s + 566 = 0. Let z = g + -2. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 15 = -8*g. Let f be (-2)\/3 + 10\/g. Suppose f*q - 3*q + 15 = 2*x, 27 = 3*q - 2*x. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**2\/3 + 220732*t\/3 - 220736\/3 = 0?\nAnswer: -55184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 - 47 - (0 - 2). Suppose 5*j = -2*f + 72 + 137, 4*f + 184 = 4*j. What is the remainder when j is divided by 1\/(-2 - 92\/r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 157413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -3, 8, 3, 10, -1 in descending order.\nAnswer: 40, 10, 8, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 8, m: 2, r: 2}. What is prob of sequence ee?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3313 - 12011130?\nAnswer: -12021103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 7 = -2*u - 7, -1743*r + 1738*r - 5*u = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 4*y)*(-100 + 97 - 64).\nAnswer: -134*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*k**2 - 4772*k + 802583 wrt k.\nAnswer: 50*k - 4772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m)\/((m\/(m*m**1*m))\/m)*m*(m**11*m)\/m*m*m**(-3\/8) assuming m is positive.\nAnswer: m**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89353 - -51364. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 11270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 222563 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 350*a - 345*a - 5, -4*w - 4*a + 40 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.61 plus 8.00216326?\nAnswer: -9.60783674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21450 (base 7) to base 11\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -635, -624, -607, -584, -555, -520?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = d - 3*d. Suppose -d = -3*f - f. Sort 0, 4, f in ascending order.\nAnswer: 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d + 62*d - 47048 = -y, 0 = -5*d + 25. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/12 - 2*f + 36. Let k(q) = 2*q**2 + 96*q. Give i(k(d)).\nAnswer: -4*d**4 - 384*d**3 - 9216*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91643733, 366574911, 824793533, 1466299593, 2291093085, 3299174003, 4490542341, 5865198093?\n\"Answer: -p**3 + 91643728*p**2 + p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 17 = -24*f + 3*c, c + 6 = 2*f. Let u be (-8 + -4)\/(-4) - f. Solve 0 = 5*g - m + 3 - 2, 0 = -3*g + u*m + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 + 7, 3*m + 2*w - 3789 = 0. What are the prime factors of m?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.044884 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*p - 15 = -t, -2*p + 6 = -3*t. Suppose -2*s - 5*f + 27 = t, 0 = 3*f - 13 + 4. Is 47 a factor of (87\/s - -3)\/((-1)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 9:45 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29061.441504051 plus 0.4?\nAnswer: 29061.841504051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43193.66cm?\nAnswer: 431936.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2260*q - 58 = -2244*q + l, -24 = 3*q - 2*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 5 + 2*m**3 + 5*m**3 + 5*m**2 + 0*m**3 - 6*m**3. Let a be i(-4). Let v be (2 + -2 - 0) + 0. Solve v = -b - 0 - a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8850235 to the nearest integer?\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3428*d + 32968. Determine j(-9).\nAnswer: 2116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -38.2, 0.2, -0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1300) + 1 + sqrt(1300) + 4 - 2*1*sqrt(1300))*-5)**2*5.\nAnswer: 112500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 + y**4\/3 + 2*y**3\/3 + 4*y. Let b be w(-3). Let n = 18 + b. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9393*q + 2864868. Give c(305).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34 - -512?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-8))\/((-2)\/(198\/225)) and 9\/20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9801 nanograms in grams?\nAnswer: 0.0000000049801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (320\/8)\/(-11 + 270\/20). Solve v = 12*x - 80 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 568?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let d(q) = -16*q. Determine d(o(j)).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183.7 - -29.3. Let p = n + -211. Sort 3\/4, p, -2\/9 in ascending order.\nAnswer: -2\/9, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089734 is divided by 446.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.25626939 rounded to three dps?\nAnswer: 2.256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2380, 2384, 2388, 2392, 2396?\nAnswer: 2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**3 + 20*k**2 + 8*k - 21. Let b(z) = -z**3 + 5*z**2 + 2*z - 5. Let v(s) = -9*b(s) + 2*y(s). Suppose -4*f - 28 = -8*f. Is 22 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 42?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2037 and 1412999.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/6)\/p*p*p)\/p**(1\/5)*p**(-1\/2)\/p*p**(-4) assuming p is positive.\nAnswer: p**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2844 - 72120.2.\nAnswer: -69276.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137*m**5 - 71*m**5 + 5*m**2 - 6*m**2 + 88*m wrt m.\nAnswer: 1320*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**6\/195 + b**5\/130 + b**4\/39 + 6*b - 1. Let w(m) be the first derivative of j(m). Let w(h) = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + p)*(1 - 1 - 3*p)*(-23*p - 18*p + 64*p).\nAnswer: 69*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01660337 rounded to 5 decimal places?\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1357, -1414, -1483, -1570, -1681?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 3*w**2 - 4*w + 3. Let i(t) = t**3 - 2*t**2 + 3*t - 2. Suppose -14*m = -22 - 62. Determine m*i(a) + 4*y(a).\nAnswer: -2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -5*s - 2*d - 3*d, 2*s + d - 180 = 0. Let b = -62 + s. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 8. Let r = -113 - -124. What is the remainder when r is divided by h(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1978 to 2 decimal places.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -44*r + 86. Let q(y) = 7*y - 14. Let g(o) = 13*q(o) + 2*u(o). Calculate g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81.4 - 7.6. Let q = -92 - f. Let s = -1.86 - 0.14. Which is the nearest to s? (a) 0.1 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f - 1. Let a(c) = 10 - 4 + 6*c - 17*c - 3*c**2 + 17*c. Calculate a(k) + 6*g(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/2, 0, -0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178933, -357811, -536687, -715561?\nAnswer: -894433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -175 - 14*b + 1\/2*b**2. Let q(k) = -k**2. Determine h(q(w)).\nAnswer: -w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 553 - 554. Sort v, 2, -235 in decreasing order.\nAnswer: 2, v, -235","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110444 (base 5) to base 6\nAnswer: 25534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.27 (b) 0.6 (c) -2\/3 (d) -2\/9 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/100 + 26103\/275. Solve -20*s - g = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*x + 37*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 30 = -34. Let a = l + 12. Which is smaller: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 678 by 198.\nAnswer: 113\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2579, 2, -4, 0.3 in decreasing order.\nAnswer: 2579, 2, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k + 2 - 3 + 1 to the form v*k + z and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(459\/6)\/9. Suppose 0 = y + 4*b - f, 4*y - 2*b + 6*b - 32 = 0. Solve y*g = 6*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -628496 (base 11) to base 8\nAnswer: -3656351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - -9 - (-42)\/3. Suppose -2*k + 7*q - 2*q - 23 = 0, -k = -5*q + 19. Let z = 14 - k. Calculate the greatest common factor of p and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -912 + 1032. Calculate the smallest common multiple of 22 and i.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 10. Let q be i(8). Which is the nearest to 1? (a) -2\/21 (b) 2\/21 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11 - 10 + 4*s - 5 - 18. Let p be o(6). What is r in 2\/9*r - 2\/9*r**4 + 2\/9*r**p - 2\/9*r**3 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**7\/1155 + f**6\/330 - f**5\/330 + 4*f**2 - 3*f. Solve k(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z**3 - 4 - 5*z**2 - 16*z**3 - 2*z**3. Let x be (-2)\/5 + 62\/5. Suppose -x = -u - 3*b + 1, 3*u - 15 = -b. What is r(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/12 + 4*p**3\/3 - p**2\/2 + 174*p. Give s(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:08 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 4525. Let q(o) = -249*o**2 - 2*o. Give z(q(r)).\nAnswer: -249*r**2 - 2*r - 4525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*c + 7, -2*g + 29 - 5 = 4*c. Put -1, c, -140\/39 in descending order.\nAnswer: c, -1, -140\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (-3 - 2 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 11*u - 35. Let a be d(3). Put a, -0.4, -6 in decreasing order.\nAnswer: a, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**3 + g**2 - g - 1. Let v = -2 + 1. Let q be m(v). Let c = q - -14. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + -4*(sqrt(132)*-5 + sqrt(132) - sqrt(132)) + sqrt(132))\/(sqrt(12) + -6*sqrt(768)).\nAnswer: -22*sqrt(11)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.4, -418, 4, -2\/7.\nAnswer: -418, -0.4, -2\/7, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, e: 2, r: 3}. What is prob of sequence berr?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = m - 543, -55*s - 2*m = -60*s + 1371. What is the greatest common factor of s and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4 = -2*h. Let w(v) = v**2 + 2*v - 4. Let s be w(-4). Let c = s + h. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32782 and -636404.\nAnswer: -669186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2807951 is divided by 694?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 2.77 (c) 11\/2 (d) 0 (e) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 7. Let i be z(5). Suppose 2*p - i - 46 = 0. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/20 and 4 - 2 - (-15 - 605534\/(-35608))?\nAnswer: 89020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*p + 109*p = 444 + 906. Calculate the highest common divisor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -4.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = 5*w + 565. Suppose 0 = 3*l + 5*f - 43620 + 11940, -w*l + 31701 = -2*f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 3*d**5\/40 - d**4\/4 - 3*d**3\/4 - 17*d - 1. Factor y(p).\nAnswer: 3*p*(p - 3)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l + 4413 = -72*l. What are the prime factors of l?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 9\/2*b + 21\/4*b**3 + 3\/20*b**5 + 27\/16*b**4 - 14 + 57\/8*b**2. Determine q, given that m(q) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysn when three letters picked without replacement from {b: 1, n: 4, s: 2, z: 2, y: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/78)\/(5\/(-10)). Which is the third smallest value? (a) 0.3 (b) 0.2 (c) -5\/3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 21*r - 20. Let t be c(10). Let m be (-6)\/(-1) + t\/5. Solve -4*f - m = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -27501000 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3 + 25. Suppose u*h = 2*h - 100. Let m be (-18)\/h - (-3)\/(-6). What is the closest to 1\/4 in 3, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9052 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(8*1))\/(3\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.014389 milligrams in micrograms?\nAnswer: 5014.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/1888 + (-9)\/32 + (7 - (-205)\/20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/52692 and -119\/52692.\nAnswer: 52692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixj when three letters picked without replacement from ljlljhillxil.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.37 + -0.37. Let p = v + -0.9. Round p to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -63*j**2\/2 + 5*j - 22. Let m be f(-5). Calculate the highest common divisor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 22*n**4 + 92*n**3 - 94*n**2 - 20*n = 0.\nAnswer: -5, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 199. Let g = -69 - f. Calculate the remainder when g is divided by 8\/24 - (-32)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/18 and -53\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1 + (-17)\/2). Let f = -16.4 + 16. What is the nearest to -0.2 in -3, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Solve -22*g**2 + g**4 + 21*g**3 + 4*g + g**4 - 7*g**5 + x*g**2 = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/3 (b) 3 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -878369794 divided by -2?\nAnswer: 439184897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3 - 2364*n**2\/5 - 3333*n\/5 - 954\/5 = 0.\nAnswer: -1, -2\/5, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8945 - 26833\/3. What is the smallest value in 1.3, k, 0.3, 54?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (3 - 0) - ((-26 - -51) + -102)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10914 is divided by 280.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 10*u**3 + 275*u**2 - 280*u.\nAnswer: -5*u*(u - 8)*(u - 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 + (108 - 101) - (18 - 0) - 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 21 - 645. Calculate the remainder when n is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + x - 4. Let c be f(3). Let p be 19\/c - (-2)\/(-11). What is the closest to -2\/7 in p, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39210, 39129, 39000, 38829, 38622, 38385, 38124?\n\"Answer: a**3 - 30*a**2 + 2*a + 39237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (0 - 1)) + -16 + 28?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 4*g - 4*q, 167 = 2*g + 2*g + 5*q. Suppose 4*h - 29 = 19. Calculate the remainder when 759\/6 - 6\/h is divided by g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443164.6 months in decades?\nAnswer: 20359.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - s**2 - s - 2. Let i be g(2). Solve -2*f**2 - 2*f + i - 8 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414 (base 6) to base 7.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((160\/130)\/4)\/(-2*3*1)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663 a factor of 1878240427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.14 + -22.94. Let p = 2.7 - -0.3. Which is the biggest value? (a) p (b) t (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*r**2*z**4 - 83*c*r**2*z**2 + 5*c*r - 9935*r**2*z**4 + r**2*z**2 - 2*r wrt z.\nAnswer: -48*c*r**2*z - 238440*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 41, 45, 49?\n\"Answer: 4*c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.5. Let j = 24 + -23.9. What is the second biggest value in o, j, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -44, -1\/3, -3.121?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a3 (base 16) to base 7.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f - 1\/30*f**4 - 1\/60*f**6 + 1\/120*f**8 - 3\/175*f**7 + 0*f**3 - 3*f**2 + 0 + 3\/50*f**5. What is q in t(q) = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (136\/(-20))\/((-5)\/50). Let o = 220 + c. Suppose 0*p + o = -4*p. Round p to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Suppose l = 3*l. Let d = l - -2. Let o(s) = -s**2 + 0*s**d + 0*s**2. Determine o(m(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*u**6 - 22*u**6 - 28*u**6 + 26*u**2 wrt u.\nAnswer: -4560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 235*x**2 + 119*x - 364. What is the lowest common multiple of i(4) and 12?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -927, -3684, -8271, -14682, -22911?\nAnswer: -32952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10*q**3 - 11 + 3*q**3.\nAnswer: 13*q**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 16*n**3 - 31 + 21*n**3 + 18 + n**4 - 3*n**4 + 143 as l*n**3 + p + u*n**4 + z*n + b*n**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*q**2 + 140*q**2 - 605*q**2.\nAnswer: -528*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 1, -0.66, -0.5?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/(-280) + (0 - (-54)\/(-88)). Is m >= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*t + 8*t - 22, 0 = -r - 5*t - 2. Let m be (5\/(-2))\/(r\/(-176)). What is the greatest common divisor of m and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 6, u: 1, c: 4, f: 2, q: 1}. Give prob of picking 1 h, 1 u, and 1 c.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -162*r**2 + r. Let h(f) = 2*f**2. Give h(w(p)).\nAnswer: 52488*p**4 - 648*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4167529.\nAnswer: -5\/4167529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14.9, -0.4, -0.3, 1\/26?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 96*v**2 + 101*v + 10. Let d be n(49). Solve d*x = 148*x + 63 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670731 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s**(-2\/19)*s*s*s**(5\/6)*s)**(3\/4) assuming s is positive.\nAnswer: s**(767\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*k + 5*k + k)*(-19 + 6 - 19 + 2 + 3 - 3 + (-1 + 2 - 2)*(2 - 3 + 0) + 1 + 0 - 2 + 0 + 1 + 3)*(-3*k + 3*k + 2*k).\nAnswer: -312*k**2 + 104*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -6, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58638216 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -9*a + 70, 17*z = 18*z + a - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/12 + 2*l**2 - 155*l. Suppose z - 2*h - 2 = -5, 6 = -3*z + 5*h. Let u(g) = -z*g - g + 2*g. Calculate u(a(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(16\/(-6))*(-1192)\/2682*12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 560784673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 2, -4\/13, -48.\nAnswer: -157, -48, -4\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77922628591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30247780 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.36 - -1.66. What is the third biggest value in -1\/16, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -678 * -0.5\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-14))\/((-48)\/(-112)). Let i(q) be the third derivative of -q**4\/4 + q**3\/6 + q**2. Calculate i(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 48*d - 398. Let s be u(9). What is the highest common factor of 374 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 792000\/(-594)*((-3)\/2 - 0). What is the highest common divisor of g and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1887 - 1122. What is the greatest common factor of n and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = n, o - 5 = 3*o + 5*n. Suppose -3*q + 13 = -2*d, 5*q = -3*d - 0*d + 28. Suppose 3*z + 6 = q*j, 2*z + 4 = -4*j - 0. Is j at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -0.2, -0.4, 7 in descending order.\nAnswer: 7, 0.5, 0, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 17*z - 31. Determine b(-9).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p + 7. Let l(r) = -48*r + 48. Let g be 18*(-3)\/9*54\/12. Determine g*t(x) + 4*l(x).\nAnswer: -3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365976 and 16723512.\nAnswer: 384640776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-65)\/5)\/(3 + -4). Let i be (q + (-2 - -2))*3. Calculate the remainder when ((-52)\/6)\/((-26)\/i) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2. Let n(w) = -328 + 328 + 22*w. Determine y(n(x)).\nAnswer: -968*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 3*l**2 + l**3)*(-7*l - 20 + 20 + (4 + 2 - 5)*(-2 + l + 2))*(-2 + 2 + 1).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51545 = 3456*p - 5992 - 39231 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:52 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.7 and -417.\nAnswer: 2376.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1971 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c + 5*c - 2 - 2*c + 4. Let s(v) = v + 2. Let y be s(5). Suppose y*m - 60 = -3*m. Let g(z) = -9*z + 17. Give m*g(t) - 51*j(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7377345 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 22. Let l(m) = -m**2 + 6*m - 7. Let u(j) = -4 + 3*j - 2*j + 2*j + 0*j. Let z(i) = a*l(i) + 7*u(i). What is the second derivative of z(v) wrt v?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.451 to two decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.400312+-347891838\nAnswer: -347891837.599688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -5. Let j be (m\/14 + (-11)\/14)*0. Solve j = -4*i + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 2\/3 in increasing order.\nAnswer: -5, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*2360\/354?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/12)\/(5\/(-70)). Suppose 80 = -2*r + q*r. Solve -g + 3*u = 2*u - 9, -4*g + r = u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -178*h. Let a(w) = 3*w**2. Calculate a(y(d)).\nAnswer: 95052*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2528*m + 36855 = -124937 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - q**5 - 3*q**5 + (0*q**2 + 2*q**4 + 0*q**2)*(2*q + 1 - 1) - 2*q**4 - q**5 + 2*q**5 - q**4.\nAnswer: 4*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 7*h**2 - 16*h - 36. Let b be f(9). Let w = -402 + b. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 140.5 (b) 3 (c) -5 (d) 0 (e) -0.0508 (f) -3 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 6) in base 14?\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnyyyneney. Give prob of sequence men.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2592\/72*-4*(-4)\/(-24)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 3, -5 in increasing order.\nAnswer: -5, -3, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389525213 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -35. Let h = j + 21. Sort 14, 5, h in descending order.\nAnswer: 14, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2 - 8. Suppose d = -5*s - 0*d + 19, 5*s - 21 = d. Let f(p) = -p**2 + 4*p + 3. Let m be f(s). Solve 0 = -n - j*n - m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*r**2 - 155*r - 5.\nAnswer: -5*(r + 1)*(30*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a decade in years?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**2 - 34*t - 29. Let m(f) = 13*f**2 - 52*f - 51. Let l(s) = -5*m(s) + 8*r(s). Give l(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 336630277 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 5:42 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-10 + 23)) + 10 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -168\/167809 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220143 - -20?\nAnswer: -220123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*l - 2*l - s, -4*s - 7 = 3*l. Let q(h) = -h**2 + 8*h - 8. Let p be q(6). Put 2, l, p in descending order.\nAnswer: p, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 3. Let x(n) = -2*n - 10. Let y be x(-5). Suppose -5*b + 9 + 1 = y. Calculate the remainder when b is divided by a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*m*q**3*y - 6*m*q**2*y - 2*m*q**2 + 5*m*q*y**2 + 2*m*y + 579*q**3*y**2 + 11*y**2 wrt q?\nAnswer: -48*m*y + 3474*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3387830 to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2149172947 rounded to 3 decimal places?\nAnswer: -0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 1. Let q(z) = 6 + 55*z**2 - 51*z**2 + 4 - 9*z - 2*z**3. Let u(v) = 6*a(v) - q(v). Give u(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = v + 1, -4*c + 5*v + 5 = 0. Solve c = 7*a - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghrggrhwrgghrrc. What is prob of picking 1 h and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 12:03 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*p - 162*p + 78*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11133322 (base 4) in base 7?\nAnswer: 122443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0*s + 9 - 26 + 4*s. Let q = -19 - -31. What are the prime factors of u(q)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266851783 + -773870111943\/2900. Let w = t - 8\/725. Let l = -232\/9 + 805\/36. Calculate the common denominator of l and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m*m)**28)**26 assuming m is positive.\nAnswer: m**5096","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 3*b**2 - 2*b + 3. Let x(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 3*k**2\/2 - 5*k + 2381. Give 5*v(h) + 3*x(h).\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -201 + 2*l**2 + 216 - 2*l**4 - 25*l**3 + 24*l**3 - 17*l as s*l + t*l**2 + p*l**4 + g*l**3 + r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d - 115 = -27*d. Calculate the remainder when 135 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 24*h - 42. Let k be f(16). Let s = k - -330. Calculate the remainder when s is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508644 and 1233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000585698103 rounded to seven decimal places?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/1*312\/1092.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 22309954745929.\nAnswer: 22309954745928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20 + 2 + -2 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 8. Let k = 2461 - 2432. Calculate the remainder when k is divided by m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Let q = 3 + m. Let i be (-1)\/(-10)*(7 + 15\/(-3)). Which is the third biggest value? (a) i (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9707\/6 - -1620. Which is the closest to -3? (a) f (b) -3\/2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947533047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*o + 13, -5*f = -f - 4*o - 12. Suppose f*a + 42 = -5*k + 3*k, 4*k - 48 = 2*a. Let c = a - -22. Solve c = 3*l + 2 + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 284364 and 173778.\nAnswer: 3128004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 94719 + -5?\nAnswer: 94714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -42.187 at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 32. Let a = n - -4. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from hjuiuiuxixijjhhx?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8. Let o = -11.5 - -16.5. Which is the closest to s? (a) o (b) 0.06 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5 = 3*w, 24*q + 1 = 27*q - 5*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 0, 2*z + y = 5 - 1. Let n be 0 + (1 - z) - -4. Find the second derivative of -n*o + 0*o + 0*o**4 - 3*o**4 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 335?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/7)*(b\/((b*b\/b**13)\/b))\/b*(((b**(13\/3)*b)\/b)\/b)\/b*(b*b\/b**(-3\/5))\/b assuming b is positive.\nAnswer: b**(1613\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 4*c + 1. Let u be t(-3). Let q(o) = -266*o - 2. Let s be q(-1). Suppose 0 = -u*i - 0*i + s. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 29\/219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 75 - 137 + 14 - 88 to the form p*r + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -21 (c) -19 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -7*b + 24. Let t be (26\/b - -1)*-4. Is (-13)\/(t\/(-6) + -3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 841 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, 0.2, 4, -5, -0.05 in decreasing order.\nAnswer: 4, 0.29, 0.2, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67163, -87883, -122417, -170765?\n\"Answer: -6907*d**2 + d - 60257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -18*h**2. Let w(m) = 6*m**2 + 7*m - 3. Let o(g) = -3*g**2 + 2*g - 1. Let v(d) = 3*o(d) - w(d). Determine v(t(l)).\nAnswer: -4860*l**4 + 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*d - 72*d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356370, -712685, -1068968, -1425219, -1781438, -2137625?\nAnswer: -2493780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 809856 and 10878.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1028106 and 1413.\nAnswer: 161412642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 21 = 5*z + 2*n, 23 = 3*z - 2*n. Let w be 4*(-3 - (-30)\/12). Let v be 1 - w - (20 - z). Which is greater: 2\/7 or v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*u - 2*x - 4, -4*u = -5*x + 60 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1410402 and 19040427.\nAnswer: 38080854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4*(-4)\/(-8)). Let i = 8 - -2. Let c = w + i. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**3 + 40*s**2 - 100*s = 0.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1287)\/2*14\/7. Let j = -1825 - g. Let r = 8511\/16 + j. Calculate the common denominator of r and 83\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563507.\nAnswer: 7, 79, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 11*m + 99. Let q be 11\/44 + (-813)\/m. Suppose 3*t = 2*t, -4*w + q = 2*t. What is the lowest common multiple of 6 and w?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = -20. Suppose 4*g = -x - 16, 0*x + 9 = -5*g - l*x. Let j = 207 - 207. Sort g, 3, j in decreasing order.\nAnswer: 3, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 324491565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 18. Suppose -2*q + 80 = -4*k, 5*q - 52 = 4*q - 4*k. Suppose -q = i - 3*i. What is the lowest common multiple of i and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134606?\nAnswer: 2, 3, 11, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5076 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (2 - -3 - 3)) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 32*m + 8. Let v(u) = 8*u - 9*u + 2*u. Calculate f(v(l)).\nAnswer: 32*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 5*u + 3. Calculate the lowest common multiple of 20 and i(3).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 4:53 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(0 - 4) - -86. Let m = h - 89. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n)**17*(n\/(n**6*n))\/n**(-7) assuming n is positive.\nAnswer: n**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -1 + -3 - -5*(1 + sqrt(704)))**2 - (1 + ((sqrt(176) + -1 - sqrt(176)) + sqrt(891)*2)**2).\nAnswer: 132*sqrt(11) + 21779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Suppose -2*u + 2 = 2*t, -2*u - u + j = 4*t. Calculate the remainder when 16 is divided by (2\/1)\/(t\/(-9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.024 (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13231 and 244117?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.15 (b) -41 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/5 + 1475784*x**2\/5 - 10330439*x\/5 = 0. Calculate x.\nAnswer: 0, 7, 1475777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-10) + -1)*-2. Let j(b) = -9*b**3 + b + 2. Let l be j(o). Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -145*x + 1604 - 1554 + 149*x. Give c(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -5*i**4\/24 - 41*i**3\/2 - 2281*i**2. Calculate s(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u + 3. Let l(z) = -8 + 8*z**2 - 4*z**2 - 5*z**2 + 7*z. Let n be l(6). Let r be t(n). Solve r*s - 4*s - 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20c - -27?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 374 or 311?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-3))\/(2\/(-3)). Suppose 12 = -k*h - 3, -3*h = -x + 11. Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 4068?\nAnswer: 16272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 575, 532, 489, 446, 403, 360?\n\"Answer: -43*u + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 3*x**3 - x**3)*(1 - 1 - 2)*((-3 + 4 + 1)*(-3*x + 2*x - x) + 2*x - 4*x + 0*x + 5*x - x - 6*x).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 3*k**2 + 2*k. Let n be a(1). What is the second derivative of -l**4 - 3*l + 17*l - 3*l**4 - n*l wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (2 - 5)) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90821*a**3 + 9*a - 14*a + 5*a.\nAnswer: -90821*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -27, 1, -1, 21, 5, 343 in descending order.\nAnswer: 343, 21, 5, 1, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -3 (c) 0 (d) 0.1 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let r be 3 + d + 1 + -2. Solve -t + r = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-6)\/496)\/(1974\/(-2256))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**2 + 3705*t.\nAnswer: 3*t*(2*t + 1235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0132105 rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16040*o**5 - 1370*o**3 + 34655132*o**2.\nAnswer: 962400*o**2 - 8220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2639943, -5279889, -7919833, -10559775, -13199715, -15839653?\n\"Answer: c**2 - 2639949*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -14*y**3 - 8*y - 6. Let p(k) = 5*k**3 + 3*k + 2. Give -8*p(r) - 3*w(r).\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1174, 1\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25720 > -25718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.30127 - 10.33246. Let u = -12.64 - a. What is u rounded to 4 decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1\/4, 402 in increasing order.\nAnswer: -3, -1\/4, 4, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.56 + 1.651. Let n = -0.1883 - 6.8207. Let l = n - t. What is l rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1525941 by -35487.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 23*l**4\/8 - 43*l**3\/6 - 30*l**2 - 2. Let b be v(2). What is the highest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/167765805 and -21\/149125160.\nAnswer: 1342126440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77\/1762, -2, -0.2, -0.12, -2\/5 in ascending order.\nAnswer: -2, -2\/5, -0.2, -0.12, 77\/1762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -43*q - 84. Let v(t) = -t. Give v(l(y)).\nAnswer: 43*y + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -n + c + 29, 4*n - c = 136. Let s = n + -25. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91280*l + 91280*l - 2*h = -36, -52*h = -5*l - 921 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let t(i) = -i + 2. Suppose -2*f - 4*o - 8 = -0*f, -4*f - 7 = 5*o. Let x(c) = f*t(c) - 3*g(c). Differentiate x(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/15)*f**3*f**(1\/4)*f**1\/f*((f\/f**(1\/2))\/f)**(-37)\/((f\/(f\/(f**6\/f))*f)\/(f\/f**(-2\/11))) assuming f is positive.\nAnswer: f**(11747\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-2)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*n + 10*n + 26, -5*n = -4*u + 28. Suppose 4*v + 15761 = 3*z + 2*v, -3*v = u*z - 10490. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 + 84\/(-14) + 18. Calculate the greatest common factor of y and 648.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67788544 divided by -8.\nAnswer: -8473568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/(-15))\/(1126\/10). Let d = a + -23203\/5630. Calculate the common denominator of d and -83\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -104202220?\nAnswer: -104202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 799 + -890.6. Let k = r + 53. Let g = k + 40.29. Round g to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-6))\/((-3)\/4). Let a be 2*1 + -2 + -2. Let z = a - v. Solve 0*k - z*l + 4 = -4*k, -2*k + l = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 - 1. Let h(p) = -13*p**3 - 2*p**2 - 2. Let d be (-30)\/6 - (9 + -15). Determine d*h(z) - 3*y(z).\nAnswer: -10*z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**4\/6 - 2*u**3\/3 + 5*u**2\/2 + 2. Let h(n) be the second derivative of m(n). Is 4 a factor of h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 times -0.39\nAnswer: 42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -19182.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11892, 47725, 107484, 191169?\n\"Answer: 11963*b**2 - 56*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32123376 divided by 6?\nAnswer: 5353896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1151 (base 6) to base 4.\nAnswer: -10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3790.97305 and -0.5.\nAnswer: -1895.486525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4393396 is divided by 65572.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1969 is divided by 1329.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539826550 rounded to the nearest one hundred thousand?\nAnswer: 539800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 - 80*y + 350 = 0.\nAnswer: 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = -5*c, -5*z - 3 = c + 101. Let x = -8 - z. Is 6\/4 + 18\/x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -11)\/(5*(-15)\/50) + -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/180 and 45\/(-18) + 826\/105.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37\/55 + 3\/11. Suppose h - 6 = -h. Which is the nearest to -1\/2? (a) -2\/7 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -1\/6, 0.5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35087 + 35091. What is the third smallest value in -0.1, -194, -24, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 2:13 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9807912 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 17*m**2 + 46*m + 63. Let l be k(-14). Let d = 59 + -24. Calculate the highest common factor of l and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*w + 5*f, w + f = 6*f - 1. Suppose -b + w = 2. Factor 0 + 3*i + i + 2*i**b + 0.\nAnswer: 2*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/43 + 5780\/(-1462). Put 2, -2, t, 11 in decreasing order.\nAnswer: 11, 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2745 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67675394 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 27. Is 18\/v*(-12)\/(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 23*u**2 + u + 21*u**2 - 2*u**3 - 16)*(u - 2*u + 2*u).\nAnswer: -2*u**4 - 2*u**3 + u**2 + 32*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/6 (b) 1\/12 (c) -2\/17 (d) 12\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 464 = 64*l - 23*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-4) - 9\/6. Suppose 236 = f - o. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {u: 2, j: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -327 or -275?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112202022 (base 3) in base 11?\nAnswer: -75025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 30. Let q = 0.1 + 0.4. What is the nearest to t in q, -4\/7, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 111863 from -2.\nAnswer: -111865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75, -335, -769, -1377, -2159, -3115, -4245?\n\"Answer: -87*m**2 + m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:33 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - -2 - (1 - -4)) - (316 - 355)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 37. What is the remainder when 64 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50568 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2610 and 957?\nAnswer: 28710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/((-165)\/(-51)) - -4 and -49\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2, -3*n + 4*h - 4 = n. Let j be (-2 + 1)*(1 - 1). Let b = j - n. Solve 0 = -3*m - b + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 26*l**5\/5 - l**4 + l**2\/2 - 136*l + 342. Find the second derivative of k(v) wrt v.\nAnswer: 312*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-3*f**3 + 0*f**3 + 4*f**3)*(2*f + 0*f + 2 + 0).\nAnswer: -4*f**4 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 1\/3 (c) -8\/3 (d) -140 (e) -0.36 (f) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 14 + 38 = 0. Suppose -h = -44 - z. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1994100, 3988197, 5982294?\n\"Answer: 1994097*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, -2, 0, -132.\nAnswer: -132, -4, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 bigger than -7655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*((sqrt(52))**2 + sqrt(13)) + sqrt(13) + sqrt(130)\/sqrt(90)) + (1*sqrt(325) - (1 + sqrt(468))).\nAnswer: 6*sqrt(13) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2398, 6811, 11224, 15637?\n\"Answer: 4413*y - 2015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 28*g**4 - 50*g**3 + 8*g**2 + 10*g + 1. Let i(h) = -2*h**3 - h**2 - 3*h. Let u(p) = -c(p) - 3*i(p). What is the third derivative of u(v) wrt v?\nAnswer: -672*v + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*j + 9 + 6 = 0, 4*c + 4*j + 24 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9690641039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**2 + 88 - 57*s**2 - 70*s**2 wrt s.\nAnswer: -258*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13531773 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppa when three letters picked without replacement from {a: 3, p: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 5. Let u be g(-2). Let t be (u\/(-2))\/3*-6 - -1. Suppose -2*x + 18 = -0*x + t*p, -p = -1. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 5*n. Let j(g) = -g**2 + 3*g. Let s(i) = -2*h(i) - 5*j(i). Let t(k) = 36*k + 333. Let w be t(-9). List the prime factors of s(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 5225720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1866 - -1950. Calculate the remainder when m is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8505228 to the power of 1\/2, to the nearest integer?\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**5 - 1570*d**4 + 962340*d**3 + 317204050*d**2 - 318164815*d = 0.\nAnswer: -379, 0, 1, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14903 + -14869. Solve c*g = 78 - 112 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/2 - 55*d**3\/3 + 14*d**2 - 11*d + 2274. Determine k(27).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 0.054511414?\nAnswer: -3.054511414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o - 102841 + 40*o + 102841.\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h + 11. Let n be s(0). Calculate the highest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = 2*d. Let z(k) = -k**2 + 8*k + 1. Let f(v) = v - 1. Let n = 55 - 61. Let q(s) = n*f(s) + z(s). Give q(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086717 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.196 - 0.196. Let b = -37 - -25. Let t = -17 - b. Sort 3, t, w in increasing order.\nAnswer: t, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134978.9 hours in seconds?\nAnswer: 485924040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - 10\/(-6). Let x(s) = -s - 4. Let g be x(-8). Suppose 3*k - 24 = -2*v, -2*k = -y*v + g + 20. Solve -3*p + z + 20 = -3*z, 2*p - v = 2*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Let x(m) be the third derivative of -m**4\/8 + 5*m**2. Give x(y(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177496, -355004, -532512, -710020, -887528, -1065036?\nAnswer: -1242544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7959459888 and -0.4.\nAnswer: -7959459888.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let j = 12 + -10. Let s(p) = 4*p**2 + 6*p**2 + 3*p**j - p**2. What is s(f(x))?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 17345800.655817.\nAnswer: 17345800.755817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.51 rounded to 1 decimal place?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 5 + -3 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1977404*o**3 + 30*o**2 - 3370*o?\nAnswer: -11864424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Is (-1255)\/(-10) - y\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4229 is divided by 2854.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1037135840*f + 186742291 wrt f?\nAnswer: 1037135840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (2*sqrt(154))\/sqrt(11)) + -5*sqrt(14)*-1 + sqrt(14))\/((sqrt(448) - (sqrt(448) - (sqrt(448) + 2*sqrt(448))))*-3)*-4.\nAnswer: 5*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4000)*-1 + sqrt(4000) - sqrt(4000) - ((sqrt(160)*2)\/sqrt(4) + sqrt(40)))\/((sqrt(288) + sqrt(8))*-2*-5).\nAnswer: -13*sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -61.2?\nAnswer: -61.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, 5, -1, 0, -34, 3 in increasing order.\nAnswer: -207, -34, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-3)\/1)*140\/(-40).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.094 + 367?\nAnswer: 366.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 2*m**5 + m**3 + (-m - 2*m + 2*m)*(-2*m**3 + m**4 + 2*m**3) + m**4 - m**4 + m**5 + 461*m**5 - 705*m**2 + 705*m**2.\nAnswer: 459*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -262575, -262568, -262567, -262578, -262607, -262660, -262743?\n\"Answer: -m**3 + 3*m**2 + 5*m - 262582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = j - 10, j + 5*y + 20 = 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*w + 7*g - 16, -g = -w - 2. What is the second derivative of -17*t + 92*t**w + 7*t**3 + 4*t**3 - 91*t**2 wrt t?\nAnswer: 66*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 22*u - 2. Calculate i(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 = 2. Let i be (-8)\/28 + (-298)\/(-14). Suppose -5*v - 6 = -i. Sort v, 1, l in decreasing order.\nAnswer: v, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Suppose -q*j + 16 = -0*j. Let z = j - -4. Calculate the greatest common factor of z and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1485.5 - 1486. Which is the nearest to -1? (a) 5\/7 (b) 3 (c) z (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21380*d - 21380*d - 22013*d**3 + 22011*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Suppose 0 = 3*g - m + 4. Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(45) - (sqrt(45) - sqrt(180)\/sqrt(4))))\/(sqrt(441)*-2) - 4*((sqrt(70) - -3*sqrt(70))\/sqrt(7))\/sqrt(2).\nAnswer: -229*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220193.28 minutes in hours?\nAnswer: 3669.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107892, 215784, 323676, 431568?\n\"Answer: 107892*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5608208824 plus 0.2?\nAnswer: -5608208823.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 769\/18 - 85\/2. Which is greater: o or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Suppose 1 + g = l. Suppose -2*n = l*n - 955. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -251666 divided by -9?\nAnswer: 251666\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 2. Let t(s) = -s - 1. Let z(n) = g(n) - 5*t(n). Let b be z(-2). Sort -9, -2, b in decreasing order.\nAnswer: -2, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -860106043, -860106042, -860106041, -860106040?\n\"Answer: y - 860106044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 5*i**2 + 12*i + 3. What are the prime factors of u(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(198) - (sqrt(2662)*2 + sqrt(22)))\/(1*(sqrt(539)*1 + sqrt(539))).\nAnswer: -16*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425698 times 0.05?\nAnswer: 121284.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -7*p**6\/6 + 3*p**4\/2 - 31*p. Find the third derivative of q(t) wrt t.\nAnswer: -840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/3 + 6910 + (5 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7334 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10928 + 11893. Calculate the remainder when l is divided by 479.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 2*p**4\/3 + p**3\/3 - 18*p. What is the second derivative of g(v) wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -11*p**4\/4 - 35. Let j be t(-1). Suppose -7*m - 12 = -j*m. Solve -k + 0 = -m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7. Let o(p) = -p - 1. Let x(u) = o(u) - t(u). Let g be x(-5). Let r = 2 + -1.9. Which is the nearest to r? (a) g (b) -2\/5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -367.7 + 1745. What is h rounded to the nearest 10?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + -0.88. Suppose 4 + 11 = 5*n. Suppose s - 6 = n*s. What is the biggest value in -0.5, s, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1152411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c - 860 = 0. Suppose c = 5*k + 5*n, 5*n = 2*n + 12. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 14. Let o = -7 + z. Let k = -16 + o. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (6 + -7) - (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3222?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -40*f + 369. Let l be v(9). Calculate the greatest common divisor of l and 216.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204\/(-170)*(-110)\/4 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 4. Let y(m) = -49*m - 38. What is 5*a(x) - y(x)?\nAnswer: 44*x + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -209*k - 3321. What is s(-16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 4, -2, -0.7 in descending order.\nAnswer: 4, -0.7, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 34. Suppose 4*g - 54 = 2*v, 3*g = 4*g - 2*v - 12. Let c be s(g). Solve -l - c = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*r = 25, -15 - 8 = -5*c + 2*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-2565)*(34335\/(-98))\/9 and -15\/1064.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*1 + -3 + sqrt(425))**2 - sqrt(68)\/(-2*sqrt(4)*-3) - 5*(-2 + (-6*(sqrt(204) - sqrt(204)*1) + sqrt(204))\/sqrt(12))**2.\nAnswer: -241*sqrt(17)\/6 + 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264982, 264987, 264992?\nAnswer: 264997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 20 = 0. Suppose 0 = -4*z + c*g, 6 = -2*z + 4*z + g. Suppose -z*j + 48 - 6 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386266 (base 10) in base 5?\nAnswer: 44330031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 300983489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/7 - 7082480*g**2\/7 - 3135158925748*g\/7 - 56430565963272\/7.\nAnswer: -4*(g + 18)*(g + 885301)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23069237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08292 + 0.082. What is p rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 5*z - 7, 0 = -k - 4*z + 43 - 42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 9310.\nAnswer: 46550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 166 = 436. Let h = -34 - b. Calculate the highest common divisor of h and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*l*p**2 - 650*c*l - c*p**2 + 293*p**2 - 3 with respect to l.\nAnswer: 2*c*p**2 - 650*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 times -110010?\nAnswer: -16831530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/15*150\/(-90). Let y(s) be the first derivative of -s**4 - l*s**3 + 1 + 0*s + 0*s**2. What is the third derivative of y(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.92 - 20. Let i = o - -0.08. Put 0, -0.2, i in decreasing order.\nAnswer: 0, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 2*o + 20)*(2470*o**3 - 988*o**3 - 1047*o**3) to the form q*o**3 + w*o**4 + m + j*o + u*o**2 and give w.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 2*l**4 - 6*l**4 + 3*l**4 - 1 + 1 - l**4 + (3 - 2 + 0)*(1 - 1 - 2*l**4) as m*l**3 + d + c*l + u*l**2 + b*l**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21721.\nAnswer: 7, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -930*y + 320 + 1826 - 286. Let -40\/3*q**y + 2\/3*q**5 + 16\/3*q + 12*q**3 + 0 - 14\/3*q**4 = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15809, -31629, -47445, -63257, -79065?\n\"Answer: 2*y**2 - 15826*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let q be h(-1). Let m(z) be the third derivative of -z**4\/12 + 9*z**2. Give m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(190) - sqrt(190))\/sqrt(10) + -1 - ((sqrt(38)\/sqrt(2)*-2)**2 - (0 + sqrt(76)\/sqrt(4))))*-6.\nAnswer: -18*sqrt(19) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -326.4 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - (-3)\/6. Suppose 0 = -4*n + 7*n - 9. Suppose 2*p + 0*p = -n*p. Solve p = l - h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 33 - 16*k - 12 + 2*k - 12 + k**2 + 1. Calculate s(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + -3 + -1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33229, -66693, -100683, -135463, -171297, -208449?\n\"Answer: -44*l**3 + l**2 - 33159*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 9. Let x(i) = -5*i - 41. What is the remainder when x(-10) is divided by f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 1.9. Let o = -1885 + 9454\/5. What is the second biggest value in -0.4, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 126761*y + 628655?\nAnswer: 126761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:04 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -155 - -146 - (-5 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4479*z + 58373 - 52661 = -77777 - 95671 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14448 and 291024.\nAnswer: 2037168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.9? (a) 2 (b) 2\/3 (c) -2\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2, 2\/11, 0.4, 7, -7\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 4790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -192 - 17*d - 3\/2*d**2. Calculate y(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*8.1412981.\nAnswer: 3.25651924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -1353 + 7803. Suppose -4*a = -9*a + x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:00 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, m: 6}. Give prob of sequence bm.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 - 3*a**2 - 9*a + 135. Determine o(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -29. Solve -2*c + 8 = -3*c + l*x, 4*c = 4*x + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32124175 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:53 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h - 3*h)*(h**2 - h**2 + 2*h**2) - 3*h + 67*h**2 + h**3 - 67*h**2.\nAnswer: -3*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1164 - 3497\/3. Which is the closest to 27? (a) -0.5 (b) 4 (c) l (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21192, -21302, -21484, -21738, -22064?\n\"Answer: -36*i**2 - 2*i - 21154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-4))\/((-21)\/((-21)\/3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0 - 25 = 0, -j - 45 = 5*y. Let w be 3\/(-2)*2\/(-12)*j. Let o(s) = 7*s**2 + 13*s - 13. Calculate the remainder when o(w) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 16*p**2 - 13*p + 8. Let m be i(-16). Suppose 4*d - m = 1228. Suppose -4*c + b + 281 = 0, -4*c - c - 2*b = -d. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 436, 976, 1680, 2548, 3580?\n\"Answer: 82*g**2 + 294*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - w**2 + w**2 - 2*w**3 + 2*w**3 - w**3 - 4 + 4 - w**3 + (-w**3 - w**3 + 0*w**3)*(-6 + 2 + 2) + (-27*w + 27*w + 5*w**3)*(-1 + 1 - 1).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (1*sqrt(475) + 4 + sqrt(475) - sqrt(475))) + 1*sqrt(475)*2 + (sqrt(475)*2*-1 - sqrt(475))*3 + -2)**2.\nAnswer: 420*sqrt(19) + 23311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622 divided by 1.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 170 = 5*m, 19*a + 59 = m + 15*a. Solve m*u = 44*u + 35 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262 - 87*k + 489 - 229 to the form u + i*k and give i.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*56856894.\nAnswer: -4548551.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -415\/3 (b) -0.2 (c) -5 (d) 4 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029990573 rounded to six dps?\nAnswer: 0.002999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/4)\/((-13)\/(-104)). Solve 0*x = -3*x - 3*a, 0 = -2*a - f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.4723 + -0.08587?\nAnswer: 26.38643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + o + 7 = 0, -k - 2*o = -5*o. Which is bigger: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 25. Is r a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417 - 416. Solve 2 = j + c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 116? (a) 0.2 (b) 0.03 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2213*s**5 - 2*s**3 - 3*s**2 - 1124*s wrt s?\nAnswer: -132780*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) 5 (d) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380 is divided by 297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**6\/(m**(-1\/2))**(-38) assuming m is positive.\nAnswer: m**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 104.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52568 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 94ac (base 14) to base 2\nAnswer: 110010000100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddr when four letters picked without replacement from gddrdag.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2081935 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 = 1. Let m be 1\/f + (-5)\/(-1). Suppose 5*b - 4*p = 2951 - 338, 1034 = 2*b + m*p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(448) + -1 + sqrt(448) - sqrt(7) - (sqrt(112) + 3 - sqrt(7)))**2.\nAnswer: -2048 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1817, -3658, -5523, -7412, -9325?\nAnswer: -11262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c**3 + 357*c**2 - 345*c**2 + 11*c**3 - c. Give j(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92*i**5*m**2 - 15*i**3*m**2 - i**3 - 25*i**2*m**2 - i**2*m + 205*i**2 + 2*m**2 wrt i.\nAnswer: -5520*i**2*m**2 - 90*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdgkkvk. What is prob of sequence gd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/242 and 7\/110.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 38*y - 83. Let h be d(40). Let s be -11312 + (-6)\/h*1. What is s rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43062311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92988032.\nAnswer: 2, 726469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*y = 103*y + 3150. What is the remainder when y is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q + 21. Let j(l) = l**3 - 7*l**2 + 1. Let m(a) = 9*a**2 + 2*a - 1. What is the least common multiple of m(1) and j(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -7*y**4\/2 - 17*y**2\/2 + 8. What is the second derivative of b(v) wrt v?\nAnswer: -84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*r = 237, 0*r - 4*r - 16 = 0. Suppose -o = -4*w - 189, 4*o - 5*w - 795 = -28. Suppose 4*q - o = p. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:26 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 - 19*p**4 - 542205*p**3 + 542204*p**3 + p + 1 + p**2 as f*p**4 + r*p**2 + h*p**3 + q + g*p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/4367154 and -91\/18.\nAnswer: 13101462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 4168620.2.\nAnswer: 4168619.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 23411214?\nAnswer: -23411220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(4 - 1) + 426\/(-71).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84814, -84816, -84818, -84820, -84822?\nAnswer: -84824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*f - 373*f - 86*f - 414*f - 20444 = 0 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 20*y = 22*y - 15, -2*f - y = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*r - 23, 2*z = -27*r + 4*r - 6*z - 4*z + 79 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71439 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/(-38))\/(10\/(-2))*37\/(333\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 8*y - 7. Suppose -5*p = -29 - 26. Let x be i(p). Let s = 25 + x. Calculate the remainder when s is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 15, 53, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 6*q + 12. Find the first derivative of -19*p**q - 12*p + 12*p - 11 - 2*p**2 wrt p.\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/40*8\/28)\/(14\/217)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -20*f + 9. Let t(z) = 105*z - 45. Let g(l) = 11*i(l) + 2*t(l). Let j(w) = -3*w. Calculate j(g(u)).\nAnswer: 30*u - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000115233 to 7 dps.\nAnswer: 0.0001152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3 + (5 - 1 - 2)*(-4 + 5 - 2) + 9 - 31 + 16)*(13*j**2 - 14*j**2 + 24*j**2) as x*j + w + f*j**2 and give f.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -14 - 4 - (-5 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10703651699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in 1\/3, 2\/19, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.097284 - 3959.\nAnswer: -3959.097284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(612)*1)**2 + 3 - -2*((sqrt(612) - (sqrt(612) - -1*sqrt(612))) + sqrt(612) + 4)).\nAnswer: -7377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/(-6))\/(104\/(-78))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1116 and 144.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u - 12. Calculate z(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.76 - 4.66. Which is the smallest value? (a) 7 (b) p (c) -2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29462 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**3 - 277*c - 192*c**3 + 277*c.\nAnswer: -167*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 4*f + 8*f - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11996 + 11998. Let j = 10 - 6. Solve -2*l + j = -2*z, 0 = z - 4 + i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - k + 8 = -19 + 19, -3*k + 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*u + 45911 = 41327 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/60 + 7*b**4\/24 - 7*b**3\/6 - b**2. Let t be 4\/(-22) - 855\/(-165). What is c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 48.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -221 (c) -21378\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u*x**2 + 2*u*x - 187814*u - 216*x**2 - 18*x wrt x.\nAnswer: 2*u*x + 2*u - 432*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -389725, -389707, -389689, -389671?\n\"Answer: 18*z - 389743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/27 + (991977\/27 - 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -338*x - 3. Is f(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m**3\/2 + 13815*m**2\/2 - 679055*m - 194580 = 0 for m.\nAnswer: -2\/7, 188, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + p)*(-3*p**2 + 0*p**2 + 4*p**2 - 2*p) + 2*p**3 + 0*p**2 + 0*p**2.\nAnswer: 4*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9738 - -762. Does 4 divide ((-8)\/(-10))\/(50\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 + -3 + 1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 307281.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 - 10*i + 13. Let k(m) = -m**2 + 1. Let j(s) = 6*s**2 - 7*s + 7. Let p(t) = -j(t) - 2*k(t). Let o = 6882 + -6877. What is o*u(b) + 7*p(b)?\nAnswer: 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -260\/7*o**2 + 0 + 26\/7*o**3 + 408\/7*o + 1\/7*o**4.\nAnswer: o*(o - 6)*(o - 2)*(o + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = 3*a, 4*a + 2*j = 2 + 2. What is the third derivative of -w**2 - 2*w**2 + 4*w**3 + 2*w**a - 5*w**3 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.531603ml?\nAnswer: 0.006531603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(1331)*2 + 3)**2 + -3)*2 + -4)*3*4.\nAnswer: 3168*sqrt(11) + 127873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 620 - 622. Which is the biggest value? (a) f (b) -1\/5 (c) -5\/4 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/13, 3\/4, 3, 3\/8?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701*w + 706*w = -n - 55, 0 = -4*w - 44. Let d = -0.08 - -0.03. Which is the smallest value? (a) d (b) n (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5823.2144 rounded to one dp?\nAnswer: 5823.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 11 = -5*j, 273*q - 10*j = 267*q - 6*j - 24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109677275 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3533*j**3*t + j*t**2 - 475*j*t + 69604751*t**2 wrt j?\nAnswer: 10599*j**2*t + t**2 - 475*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722.861 minutes in nanoseconds?\nAnswer: 463371660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p - 2. Let v(t) = 2930*t - 7012. Let b(z) = -3*u(z) - v(z). Differentiate b(m) wrt m.\nAnswer: -2975","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266586*v - 266682*v - 672 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 2, m: 7, d: 2, a: 1, k: 2}. Give prob of sequence smam.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 = 4*j - 6, 3*u - 50 = -5*j. Suppose 4*o - 22 = 2*t, -t + o = t + u. Let m(f) = f**2 + 2*f. Let v be m(t). Solve -v*k + 3 + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**8\/20160 + b**7\/1260 - b**6\/240 - b**5\/30 - 2*b**2. Let z(o) be the third derivative of s(o). Determine z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3324*y**2 + 3317*y**2 - 1307627*y + 1307627*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 38739451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94200612?\nAnswer: 2, 3, 11, 647, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 425187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 15, 5*n + 58 = -3*m + 25. Let x(u) = 7*u**2 + 7*u - 7. Let t(s) = -7*s**2 - 6*s + 6. Calculate m*x(i) - 7*t(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**0))**9\/(p\/p**(-3)*p**(-6)\/p))\/(p**(-1\/3)*p*p**(-2\/21)*p\/(p\/p**(1\/18))*p*p\/p**7) assuming p is positive.\nAnswer: p**(929\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35678 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2716 and 350.\nAnswer: 67900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 3026*j**3\/3 + 831*j**2\/2 - 2885. Find the second derivative of g(a) wrt a.\nAnswer: 6052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275020213 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19845549?\nAnswer: 3, 31, 83, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -12023, 4 in descending order.\nAnswer: 4, 3, -1, -12023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104) - (sqrt(104) - sqrt(104)*1)))*5)\/(sqrt(98)*-2*-4)*6*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-21) + (16104\/13608)\/11\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5 = -23. Let f(g) = 4 + 3*g**2 - 2*g**2 + 6420252*g - 6 - 6420246*g. Calculate f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a - t - 17, -3*a - t = 9. Let c(l) = -12*l**2 + l + 3. Let u(h) = -24*h**2 + h + 5. Let z(m) = -13*c(m) + 6*u(m). Is z(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.2 greater than or equal to -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 23100*m**2.\nAnswer: -4*m**2*(m - 5775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(28) - sqrt(7)) + 4 - (sqrt(7) + sqrt(7) + 0 + 5) - ((sqrt(343) + -3*sqrt(343) + sqrt(343))**2 + 1).\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -31348100 divided by 95\nAnswer: -329980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/(-30) - (124\/20 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**6\/10 - 5*n**4\/8 - 5*n**2. Find the second derivative of y(d) wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 4:11 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 10 = 5*m. Let a(y) = y**3 - y - 1. Let l(v) = v**3 - 3*v - 2. Let s(o) = m*a(o) + l(o). Give s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1327268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 1, o: 3, y: 5}. What is prob of sequence mooi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 55402*g = 55401*g + 1, -d - 10 - 7 = -3*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**4 - 49*q**3 - 5*q**2 + q + 22. Let r(s) = -s**4 - 5*s**3 + s**2 - s + 1. Let h(p) = -3*f(p) + 24*r(p). Suppose h(b) = 0. What is b?\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 0*z - 12*z**2 - 11 - 3*z + 12.\nAnswer: -12*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 280 - 163 = -10*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57185 is divided by 137?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 53. Let r be g(12). Suppose -d + 2*n - r*n + 61 = 0, -112 = -2*d - 5*n. What is the least common multiple of d and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 2:52 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.207 rounded to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2*x + 0*x**6 + 109 + 0*x**5 + 0*x**4 + 0*x**2 + 157\/7*x**7 - 1\/3*x**3. Find the third derivative of q(i) wrt i.\nAnswer: 18840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5227148 or 5227144?\nAnswer: 5227148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6307 and 5.\nAnswer: -31535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 23*r**6\/6 + 7*r**3\/3 - 23. What is the third derivative of g(i) wrt i?\nAnswer: 1380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 times -2.567957?\nAnswer: 480.207959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n**3 - 8695*n**3 - 29023*n**3.\nAnswer: -37784*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(30) - sqrt(480) - sqrt(30))\/sqrt(10) - (sqrt(3)*-1 + 3))**2 + 0 + sqrt(3) + (sqrt(3) + sqrt(3) + 3)*5.\nAnswer: 29*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*s - 4. Let m = -79 + 81. Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/(-4))\/((-2)\/(-16)). Let g = u + 34. Calculate the lowest common multiple of 24 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 1)*(-157*k - 4 + 599*k + 220*k) to the form r + t*k and give t.\nAnswer: -1986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*y**2 - 347*y**2 + 252*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*22\/231.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose 0 = 2*p + i*p - 90. Suppose 4*q - p + 6 = 0. Solve 0 = -3*l - 3*j - 2*j + 19, q = -4*l - j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 124 = -1933. What is the remainder when y is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1085952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3404, 6973, 10710, 14621, 18712, 22989, 27458?\nAnswer: 32125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2178 + 8715\/4. Let i be 20\/(-32) - 3\/(-4). Let l = 1 - 1. What is the nearest to l in f, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221007696 divided by -56?\nAnswer: 3946566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 2, t: 1}. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2418 - -0.1192800112.\nAnswer: 0.3610800112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 22. Let w be n(-14). Let l(o) = o**3 + 8*o**2 - 4*o + 6. Let p be l(w). Let b = 12 + p. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 + 15.17. Let g = o + -15.07. Round g to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*p = -302*p. Solve 4*u - 4*v = p, 3*u + 4*v + v = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*83\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 0.2, 135?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 10*z + 13. Suppose -12 = 4*f - 10*f. Suppose -v + f*b = 3*b - 10, 5*v - b - 50 = 0. What is the lowest common multiple of v and t(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*h**2 + 3*h + 9*h - 53*h - 5*h - 56*h - 1431*h**3 wrt h.\nAnswer: -8586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 784, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*t**3 - 127*t**3 + 263*t**3 - 2 + 2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1113, -1270, -1435, -1614, -1813, -2038, -2295, -2590?\nAnswer: -2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-0.0206.\nAnswer: -0.1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*m - 97*m = 4*p + 12, -m = -2*p + 34. Put p, -276, 4 in decreasing order.\nAnswer: p, 4, -276","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 1717?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13246 = -24*k + 28*k - o, -7*k - 4*o + 23215 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f + 2291 - 2333 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.75 + -792.25. Let y = -809.9999277 - l. Round y to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45307 is divided by 8674?\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -55 (b) -125 (c) 5 (d) -1\/5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 12*s = 588. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0145083871 rounded to seven decimal places?\nAnswer: -0.0145084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**5 - 8*f**4 - 104*f**3 - 224*f**2 - 188*f - 56 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*h + 24556 + 280*h**3 + 326*h**3 + 563*h - 24556 wrt h.\nAnswer: 3636*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*-1*(7 + -6). Let s(q) = q**2 - 23*q + 81. Let o be s(20). Let n = y + o. Solve -3*z - z = n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901103 to the power of 1\/2, to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/5*9*(-515)\/(-309)*(-6)\/15.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 5*j**4\/24 + 5*j**3\/6 + 6*j**2 - 28*j. What is k(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) + (-2 + sqrt(17))*-6).\nAnswer: -30*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-6))\/(-7) + 22\/(264\/(-306))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71629, 71425, 71221, 71017, 70813, 70609?\nAnswer: 70405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (347*y + 99*y + 125*y)*(-3*y + 4*y - 2*y**3 + 0*y).\nAnswer: -1142*y**4 + 571*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -970.6 - -972. What is the biggest value in -5, y, 1, -4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:20 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25705488.\nAnswer: 2, 3, 67, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1425108896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1912 + 0.6912. Let x = 4.8 - 1.8. Put 19\/5, m, x, 2 in decreasing order.\nAnswer: 19\/5, x, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4988*i**2 - 604*i**3 + 1114*i**3 + 2134*i + 128 - 679*i**3 + 368*i**2 - 474*i.\nAnswer: -(i - 32)*(13*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.34*-2203\nAnswer: -2952.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2384?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g + 9 = 0. Suppose 0*s = -11*s - 1100. Let r be (-4)\/10*s\/40. Put g, r, 5 in ascending order.\nAnswer: r, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -187, -203, -235, -289, -371?\n\"Answer: -q**3 - 2*q**2 - 3*q - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3039881925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (1 - (-1 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 - -105. Let i = 3 - 2. What is the third smallest value in i, 0.2, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -53\/48, -1\/3 in decreasing order.\nAnswer: -0.2, -1\/3, -53\/48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + q**3 - 2*q**4 + 5 - 57 - 22 + 56 - 21*q**2 to a*q**3 + m + r*q**4 + w*q**2 + g*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4802 - -4807. Which is the closest to -33? (a) -1 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 83964, 167841, 251716, 335589, 419460, 503329?\n\"Answer: -f**2 + 83880*f + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g**2 + g**3 + 2*g**2)*(g + 1 - 1) - 8*g**4 + 7*g**4 + 52*g**4 + g**3 - g**3 + 2*g**4 - 2*g**4 + g**4 + 0*g**4)*(-10*g + 3*g - 7*g).\nAnswer: -742*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.225280379 rounded to 3 decimal places?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 96. Let n be (w\/80)\/((-6)\/8). Which is the closest to n? (a) -4 (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 - f - 2. Let x be 12\/9*(-4 + 1). Let s be h(x). Let m(j) = 6 + 0*j - s - 1 - 2*j. Let b(a) = -a + 1. Calculate 5*b(c) - 2*m(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5194 + -1486. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 302, 626, 1098, 1742, 2582, 3642?\nAnswer: 4946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -15. Let p = 605\/447 + -3\/149. What is the nearest to i in -5, p, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -529.164 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -432118\/7 bigger than -61730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78260 and 258.\nAnswer: 234780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 30, 37, 44, 51?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.9 (b) 0.5 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 0*t**3 + 2*t**3)*(3 - 3 - t)*(-4 - 1 + 2).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/9 and -119\/3896670?\nAnswer: 11690010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-1431)\/(-63))\/((-2)\/8*10).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*n = -164, -3*n + 111 = -0*z + 2*z. Let m = 22 + z. Let f be 2\/3 - 40\/(-3). What is the highest common divisor of f and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17703 divided by 7?\nAnswer: -2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 2*a**3 - a**3 + (2*a + 0*a + 0*a)*(3*a**2 + a**2 - 2*a**2) + 2*a**3 - a**3 - 2*a**3 + (0*a**2 + 2*a**2 + 0*a**2)*(2*a - a + 0*a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*j - 20178 = -16772 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 5881?\nAnswer: 17\/5881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-154)\/12))\/((-33150)\/(-243100))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 112\/(-21)*(-21)\/4. Do x and 27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, p: 2, t: 1, u: 1, o: 2}. Give prob of picking 1 u and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*i + 31, i = -5*s - 0*i + 23. Solve 3*a + s*v = -0*a - 25, -v - 27 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 17*z. Let b(w) = 107*w + 1. Calculate b(n) + 4*y(n).\nAnswer: 175*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8527811?\nAnswer: 1499, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 25*m - 75. Let h = 127 - 132. Let o be g(h). Let o*n**2 - 35\/3*n**5 + 0 + 0*n - 10\/3*n**4 + 0*n**3 = 0. What is n?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2684683 to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 7*k + 570 = 0. Suppose 6*u - 5*u = -111. Let i = 185 + u. What is the remainder when i is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -485, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*g + 690 = -292*g. What is the third biggest value in -2, g, -14\/9, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183132 is divided by 133?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + h = 76, -i - 13 = -2*h + 4. Let v = i - -19. Which is the third smallest value? (a) -2\/3 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 20*g - 41. Calculate m(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 3*i**5\/140 + i**4\/14 - 15*i**3\/14 - 54*i**2\/7 - 3*i + 202. Factor t(a).\nAnswer: 3*(a - 4)*(a + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 23 + 13 + -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33903269*j - 2418 = 33903362*j for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 20 - 11)*(2*o**5 - 3*o**4 + 3*o**4 + (-o**2 + 2*o**2 - 2*o**2)*(-o**3 + 5*o**3 - 5*o**3)).\nAnswer: -57*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*-2)\/sqrt(3) + -1*sqrt(24)\/sqrt(4))\/(sqrt(12)\/sqrt(4)*-1*1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*d + 22. Let j(q) be the first derivative of 0*q**4 + 0*q - 1\/15*q**5 - 1 + 0*q**2 + 1\/9*q**d. Factor j(h).\nAnswer: -h**2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 161652263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6295 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 71 = 3*b - 109 - 115, 8*b - 101 = -4*o + 87 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*t**3 + 12*t**2 + 33*t**2 + 19*t**3 as b + f*t**2 + n*t + s*t**3 and give f.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x. Let d(o) = 8*o - 4*o - 5*o. Let i(b) = -5*b. Let a(r) = 4*d(r) - 2*i(r). What is a(m(v))?\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170551157.\nAnswer: 2170551157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87081257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 2*f**2 + 3*f + 1. Let x(q) = 4*q**3 + 7*q**2 + 13*q + 3. Let o = -68 + 70. Let r(z) = o*x(z) - 9*c(z). Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**2 + 522*n + 1032 = 0.\nAnswer: -172, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30 + 1\/(-2)*4. Suppose -2*j = -2*i + x, 4*i - 47 = 3*j + 6. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14310140572*j**3 - 104260228592*j**2 - 4611835*j - 51.\nAnswer: -(7*j + 51)*(45214*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 7*o + 1. Let m(s) = -s**2 - 8*s. Let y(n) = 7*i(n) - 6*m(n). Give y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6 - 8 - 13 + 2*o. Let x be z(13). Solve 5 = -3*b + x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2 - 2*d**3 + 3*d**2 + 4 + 5*d + d**3. Suppose -4 - 2 = -3*r - 3*k, 12 = 4*r + 2*k. Let y be p(r). What is the greatest common divisor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8944 (base 11) in base 13?\nAnswer: -5700b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/9)\/(2\/2). Suppose b = -4*x - 22 + 34. Suppose 2*m - 3*d - 3 = 0, 4*d + 7 - x = 0. Solve 3*f - f = m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 80269, -4, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-7 - (-6 + 3)). Let i be -2 - k - (2 + -3). Let y(r) = -7*r**3 + 25*r**3 - 2*r - 9*r**3 + 4*r**2 - 10*r**3 + 1. What is y(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose -2*p + 13 = -11. Let z be (-1)\/7*(p - 15). Which is the nearest to 1\/4? (a) z (b) h (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 880239516 divided by -370004\nAnswer: -2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 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: What is the lowest common multiple of 132 and 2400?\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 72, 61, 50?\n\"Answer: -11*x + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29275.\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 3*h - 1. Let l(n) = 4*n**3 - 3*n - 1. Let c(j) = 2*l(j) - 3*v(j). Let k be c(-2). Solve t + 0 = k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*i**5 - 2\/7*i + 4\/7*i**3 + 2\/7*i**4 - 4\/7*i**2 + 2\/7.\nAnswer: -2*(i - 1)**3*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 96693.3 nanograms?\nAnswer: 96.6933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1534, -1533, -1532, -1531, -1530?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14066.\nAnswer: 2, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, d: 1, p: 1, u: 4}. What is prob of picking 2 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 0*q)*(4*q - 3*q + 0*q)*(79 - 17 + 1).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 12 = 2*x, 3*s + x = 429 - 445 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 141 = 13. Let b be 12\/55 + (-14)\/d. Solve -4\/5*z**3 + 2\/5 + 4\/5*z + 0*z**2 - b*z**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6766893 divided by -966699.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2669 and 2671 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-506)\/(-77) - 5 - 6\/(-14). Solve t*k = -k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 17. Let l be (-2)\/(-1*2\/9). Let s be y(l). Solve -6*a + 17 = -s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/130)\/(57\/45 - 1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14474, 57899, 130274, 231599, 361874, 521099?\n\"Answer: 14475*p**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22404815 is divided by 1302?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6*k - 4. Let s be h(-4). What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74718 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 3. Let g(z) = -2*z**3 - 3. Calculate 2*g(l) + 3*m(l).\nAnswer: 2*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 5*c**2 - 3*c + 7. Let h be t(5). Let d = h + 10. Calculate the remainder when 7 is divided by 3 + d\/(-4)*0.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 * -39.746.\nAnswer: 7233.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13\/2)*t*t**(-44))\/(t\/(t\/(((t*t\/(t*t**25))\/t*t)\/t))*t*t**(3\/4)\/t*t*t) assuming t is positive.\nAnswer: t**(-109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 3, d: 5, z: 2}. Give prob of sequence dddx.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 106*i - 20*i**2 + 109*i - 215*i.\nAnswer: -20*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 187?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -283 * -144799\nAnswer: 40978117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 282 - 18*d - d**4 - 8*d**3 - 21*d**2 - 282.\nAnswer: -d*(d + 2)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7637.56l?\nAnswer: 7637560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 + -0.07. Let q = 0.1 + l. Which is the closest to -1? (a) -3\/5 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 19, -4.\nAnswer: -4, -3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/4 - 230460*d + 10140845\/4.\nAnswer: -5*(d - 11)*(d + 184379)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -2, 0, -13.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 - 9*v + 5 - 13*v**3 - 6*v**2 + 24*v**3. Let u be c(4). Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 1127?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 36966 = -3*y, -y + 3*q + 3832 + 8490 = 0. Let o = -862557\/70 + y. What is the common denominator of 69\/70 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 0 + 0 - 13 + 13 + 19*j + (1 + j - 1)*(1 + 3 - 1) - j - j + 0*j to m*j + v and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20719429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 13*s**2 - s + 10. Let v = 254 + -244. What are the prime factors of p(v)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from qqqaqqqqa.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.5 in -2, -1\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345425.1 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -160049*w**2. Let q(p) = 28*p**2. Give q(c(y)).\nAnswer: 717239107228*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*h - h + 0*h + 2*h + (h - 2*h - 2*h)*(4 - 1 - 2) + 0*h - 4*h + 2*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 1376.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11256 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -40, -107, -228, -421, -704?\n\"Answer: -3*a**3 - 10*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3506*l**3 + 238*l - 11.\nAnswer: -21036*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 5. Let l(j) = -1. Let c(u) = -b(u) + 2*l(u). Let f be c(-5). Suppose 2*p - f = p. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1221 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - 5. What is the remainder when x(4) is divided by 17 + (7 + 3)*((-2)\/4 - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 421 + -202. Is t - 2*(-2 + 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2291\/316)\/((-380)\/(-304))?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1809 (base 14) to base 16\nAnswer: 10e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.002484 - -0.1771585. Let y = b + 7.8253155. Let p = y - 8. Round p to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 5:01 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -5 (b) -24 (c) 2\/11 (d) 0.2 (e) 276\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(4\/3 - 3). Suppose -11 = b*j - 1. Let m(x) = -12*x + 39. Let l(s) = -s + 3. Let a(p) = j*m(p) + 27*l(p). Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -2 (c) 4\/15 (d) -3 (e) 2\/33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from bfbifssylfyflyy?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -k - g, -41 - 39 = -2*k + 5*g. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 + 451. Suppose 3*y - k - 76 = 0. Calculate the greatest common factor of 30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 982581 = 813187. What are the prime factors of y?\nAnswer: 2, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 3388*h + 159393. Give g(50).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.5. Let z = -4.02 - -0.02. Let c = 0.0891 - -0.2109. What is the nearest to c in -2, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40506 - -40510. Suppose 0 = -0*j - 3*j. Sort 3, j, 1, w in descending order.\nAnswer: w, 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1877292763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -1 - (-5 + 2) - 1. Suppose 0 = -t*p - 4*h + 773, 3*h = -3*p + 4*p - 147. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 6 - 21. Let o be j*(-4 + (2 - -1)). Suppose 0 = 2*w + 2*w + 2*c, 4*w - 2 = -c. Is o not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y + 8. Let a(k) = 1. Let p(g) = -6*a(g) - q(g). Let l be p(-5). Suppose -12*x - 180 = -l*x. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -9529302.\nAnswer: -2858790.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-6 + 24\/5)*8580\/(-24) and 39?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 194, -5 in decreasing order.\nAnswer: 194, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = 5*t - 5*y, -2*t + 4 = 2*y. Which is bigger: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Suppose -3 = -z*d + 3. Suppose -3*t + 11 = d. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -741451\/2295 - -8719\/27. Let d = -2\/153 - u. Determine a so that -2\/5*a**2 - d*a**3 - 2\/15 - 2\/5*a = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 19 + 4. Calculate the common denominator of o and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4569, 13, 286, 1, 5 in increasing order.\nAnswer: 1, 5, 13, 286, 4569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 3. Let z be y(-3). Let t be 114\/42 - (z\/(-7) + 1). Let b be 2 + 1\/(t\/(-6)). Solve 0 = -4*o - 8 - b, -5*x - 4*o = 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*c - 5*c - 290 = 0, 3*u = 4*c + 421. Calculate the remainder when u - (-4 - 0 - -3) is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 2*v - 3*v)*(-7 - 3 + 1) in the form z*v + y and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*w + 4*w**2 - 2*w**3 - 8*w**2 + w**4 + 3 - 48*w to g*w**2 + r*w**3 + l*w + b + z*w**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + c = 5*i - 2583, i + 4*c - 667 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 6*l**2 - l. What is v(-5)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -12. Let w = 27\/62 + -421\/682. Which is the closest to 2? (a) d (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 33, 77, 137?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705938 divided by -331?\nAnswer: -1705938\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*d + 6 = 0, 7*d = -3*l - 4 + 18. Which is bigger: -27\/175 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617779 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4 = -3*g, -3*i - 3*g + 3 = 0. Suppose i = -26*n + 23*n. Which is the smallest value? (a) -0.04 (b) 0.5 (c) n (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47466 + 73.79\nAnswer: 47539.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.11739672 times 5\nAnswer: 0.5869836","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + (1*sqrt(36)*6 - sqrt(36)))\/((sqrt(72)\/sqrt(2))\/sqrt(3)) + 0 + ((5*2*sqrt(108) - (0 + sqrt(108) - sqrt(108))*6)*6)**2.\nAnswer: 6*sqrt(3) + 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -5*l + 22 - 32, 2*r = -3*l for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 5:12 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2942 take away 4359575668?\nAnswer: -4359575670.2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/5225 and 9\/2457400.\nAnswer: 46690600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -2. Let j = 17.5 - 5.8. Let x = j - 12. Which is the closest to m? (a) x (b) -3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-718)\/(-18542) - (2\/(-1) - -2). Let l = 9\/127 + j. Let z = 575\/584 - l. Find the common denominator of -77\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -248*h - 6026. Give u(-24).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(64) + (sqrt(64) - sqrt(64)*2) + sqrt(64)) - ((sqrt(9)*-1*3)\/sqrt(3))**2.\nAnswer: -27 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 42*h.\nAnswer: 3*h*(h - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 - (-4 - 6))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295280*g**2 - 184517*g wrt g.\nAnswer: 590560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -36. Calculate the greatest common factor of 88 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30232 - 5?\nAnswer: -30237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25478, -50921, -76356, -101777, -127178, -152553, -177896?\nAnswer: -203201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*c = 215*c + 130. Solve 0 = -c*w + w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2 + b - 2. Let d(s) = 15*s**2 + 7*s - 1. Let t(f) = -31*f**2 - 15*f + 1. Let h(g) = 9*d(g) + 4*t(g). Determine 2*h(o) - 5*p(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:39 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 22*i - 84. Give o(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -181723, -181705, -181687?\n\"Answer: 18*g - 181741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/9)\/(t\/((t\/t**(2\/13))\/t))*(t\/t**(2\/9))**22*((t*t*t\/(t\/t**(3\/10)))\/((t**(-5)\/t)\/t))**(-29) assuming t is positive.\nAnswer: t**(-297139\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 978*n - 168464. Give g(135).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*b - 156*b - 149*b + 2 - 151*b + 21*b**2.\nAnswer: 21*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**3 - 51*h**2 - 275*h - 195. Let a(t) = -2*t**3 - t**2 - 5*t. Let p(c) = -6*a(c) + i(c). Determine u, given that p(u) = 0.\nAnswer: -3, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 241 + -210. What is the third derivative of 32*w**3 + 25*w**3 - 2*w**3 + d*w**2 wrt w?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1460 and 1314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4544559 divided by 9901?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 12*x + 80. Let s be h(-10). Solve 3*v - 9 = 3*q + 5*v, s = -5*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 45. Let z be 1 + (-1 - 1) + 19. Solve 0 = 5*w - 2*c + 16, -3*w + p*c - c = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2216 divided by 554?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/13 - (-69230)\/206310 and 23\/48?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, -48, 1\/4, 2\/15, -13.74, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2862 = -4*l, -2*x - 3*x - 5*l = -7180. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/3132 + 10080\/348?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1\/8))\/k)\/(k*((k*k**(-3\/10)\/k*k)\/k*k)\/k))\/(((k*k**11*k)\/k)\/(k**(-2\/5)\/k*k)))**(-14\/3) assuming k is positive.\nAnswer: k**(3703\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32511563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 135 = -43*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -83808, -167618, -251428, -335238, -419048, -502858?\n\"Answer: -83810*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 8:27 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-333)\/(-27))*-27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 5*o + 26*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 7:11 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -132. Let j(a) = -a**2 - 26*a + 27. Let i be j(g). Which is bigger: i or -2\/777?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 1 d when three letters picked without replacement from {i: 1, m: 2, y: 1, a: 1, c: 2, d: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/10)\/(2\/(-6)). What is the greatest common factor of 99 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1684\/(-6)*(200\/(-16) + 8).\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 2*x - 18. Let i be u(0). Let h = i + 54. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1585 is divided by 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**5 + 4*j**5 - 3*j**5)*(-3 + 0 + 5).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 3, m: 7}. What is prob of picking 2 w and 2 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 135544421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 972930.7 years?\nAnswer: 972.9307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Suppose w*f = -2*f + 66. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c + 83*c - 124*c - 5206 = 0. Solve -56 = -145*u + c*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*w - 5*k = -2, 0 = -3*w + k - 20 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2202*z**3 + 2*z + 596 wrt z?\nAnswer: -13212*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 65396.8 weeks?\nAnswer: 457777.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44194 - -76064\nAnswer: 120258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + sqrt(68) + -5)*3.\nAnswer: -31 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, z: 1, y: 5}. What is prob of sequence fzy?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 179 = y, 2*y + 241 = 4*g + 47. Suppose 2*z - 3*n = 71, -5*z - g = n - 215. Suppose 8 = 3*v - z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/(-10)*36\/(-2). Let j be (g\/(-45))\/(3\/20). Suppose j = 6*h - 12. Solve 2*p + 3*f + 13 = 4*p, -h*p = 5*f + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, 2\/37, -106, 0, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 7*a**2 - 3*a + 3. Let f(y) = -4*y**3 + 9*y**2 + 3*y - 4. Determine 4*f(v) + 5*j(v).\nAnswer: -6*v**3 + v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -254 - -2539\/10. Sort -1\/4, 6, s in increasing order.\nAnswer: -1\/4, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - h + 2*h + (-4*h + 7*h - h)*(2 - 5 - 1 + (2 - 4 + 1)*(1 + 1 + 0) - 4 - 3 + 4) + h - 2*h - 3*h to t*h + w and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/13642876 and 25\/14027.\nAnswer: 177357388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2810 (base 11) to base 13\nAnswer: -1871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.67 in -6, 7, 118, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**3 - b**2 + 2*b - 1. Let n be h(1). Let -4*i**3 + 9*i**3 + i**2 - n*i**3 - i**4 + i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/120 - 3*g**5\/80 - 11*g**4\/16 + 35*g**3\/24 + 195*g + 1. Suppose x(b) = 0. Calculate b.\nAnswer: -5, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 333*w - 331*w - 4*u - 24, 4*w + 2*u = -22. Sort w, 3, 65, -3, -1 in ascending order.\nAnswer: -3, w, -1, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:15 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/297 and 55\/72.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 2, -18\/19, 0.55, -0.5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let z(u) = -43*u**2 - 5014 + 5014. Give r(z(v)).\nAnswer: 1849*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/240 + g**5\/40 - g**4\/2 + g**2. Let j(m) be the second derivative of s(m). What is j(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 v when three letters picked without replacement from vnuiccein.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 8. Suppose 58*b - 41*b - 68 = 0. Give f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265 (base 7) in base 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 e when three letters picked without replacement from aeuumeuaeaaaaurema.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:48 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 635 or 634?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v + 5. Let x be k(0). Let u = x - 1. Suppose -5*d = 2*z - 101, u*d = -d - 3*z + 104. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(27) + sqrt(3) - sqrt(3)) + -2*(0 + sqrt(3)) + sqrt(6)\/(sqrt(20)\/(-2*sqrt(10))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**4\/4 - 2*v**3 + 3*v**2\/2 - 5. Calculate the remainder when 35 is divided by f(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -35*x. Let j(n) be the second derivative of -n**4\/4 - 61*n. Calculate j(i(m)).\nAnswer: -3675*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1935, 0, 3, -1, 2.\nAnswer: -1, 0, 2, 3, 1935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**7\/210 + a**6\/120 - a**5\/30 + 5*a**2\/2 - 6*a. Let o(n) be the first derivative of r(n). Factor o(v).\nAnswer: v**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8757480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1242215 (base 6) to base 14\nAnswer: 1aa67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k + 3. Let t be o(0). Factor t*d**3 + 0*d**3 - 16*d**2 + 12 - 12*d + 31*d**2 + 36*d.\nAnswer: 3*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6315858 months?\nAnswer: 0.00005263215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 8 - (14 + 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11728 - -8937. Is g less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 231200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 14 - 9 - 4*z**2 - 16. Let i(d) be the third derivative of -d**5\/10 - 17*d**3\/6 - 4*d**2 - 1. Determine -5*i(q) + 8*s(q).\nAnswer: -2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 156668.4 rounded to the nearest 100?\nAnswer: 156700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 1760 = 12*k. Let m = 440 - k. Which is the closest to m? (a) -3 (b) -1 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l**2 - 7 - 5 + 3*l + 4. Let b(g) = 5*g**2 - 3 + g + 0*g**2 + 0. Let k = -805 - -797. Calculate k*b(m) + 3*a(m).\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611346260 divided by -98035.\nAnswer: 6236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(4)\/sqrt(2) + sqrt(2) + -2)**2*-3.\nAnswer: -180 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5100 and 401100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 284*a = i - 289*a - 45, 2*i - 9 = -0*i - a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21297*m**2 + 51037?\nAnswer: -42594*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720*b - 530*b - 2 + 533*b + 493*b.\nAnswer: 1216*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 5945 - 44093 = 0. Round r to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -26197969.3.\nAnswer: -26197964.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 27 = 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = -5. Let j be (1 - 3) + 9\/(45\/10). Let y = -0.08 - -0.38. Which is the nearest to j? (a) y (b) 1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143 + -106643130?\nAnswer: -106642654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 2:29 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - m + 15 = -1, 0 = -4*c + 3*m - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*s + 3, 15 = 5*s. Suppose 13*f + 14 = q*f. Let k(a) = -3*a - 3. What is k(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2*1\/(-3)). Let x(l) = -216*l - 7. Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**2 + 5*a**2 - 5*a**2)*(-3*a + 1 - 1)*(-5*a - 18*a - 4*a) as r*a**4 + z*a + o*a**3 + h + n*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 2*t**2 - 10*t + 0 + 1\/3*t**3 - 5\/2*t**4. Find u such that z(u) = 0.\nAnswer: -1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1257.825 + -1238. What is d rounded to 0 dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2761, -5289, -7817, -10345, -12873?\n\"Answer: -2528*t - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -246 (b) -1\/7 (c) -2\/7 (d) 0.3 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n + 209 + 71 = -4*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 334 by -1.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 655 + -444. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6350586 - 108*l - 6350586 - 2*l**3.\nAnswer: -2*l**3 - 108*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5, -7880463, 0.4?\nAnswer: -7880463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 d when four letters picked without replacement from mdmddmdmmmm.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008099 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r*(((r*r**1)\/r*r)\/r*r)\/r*r)\/r*r))**5\/(r**(2\/5))**(-15)*(r**(2\/13)*r**(-2\/7)*r*r)**23 assuming r is positive.\nAnswer: r**(3091\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 19.5. Let y = c + -1.9. Let h = y + 4.4. What is the biggest value in -3\/4, 3\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 34*x - 138. Let p be y(-4). Which is smaller: p or 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -16. Let v = -14 - r. Which is the second biggest value? (a) -0.5 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81.21576 weeks?\nAnswer: 49119291648000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 9*d - 13. Let n be g(11). Let b = n - -115. Calculate the highest common divisor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*24\/(-1680)*6\/(-5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/4 + 5\/2*g - 1\/4*g**2 = 0 for g.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3981 + 27884\/7. Which is the smallest value? (a) z (b) 0.4 (c) -1\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {s: 1, l: 2, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5949, 3812, 1669, -480, -2635, -4796?\nAnswer: -6963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2586, -20358, -68468, -162042, -316206?\nAnswer: -546086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -5 - -1) + 1 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -n + 453. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 123148?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1516473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 6:18 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)\/m*m)\/m**(1\/5)*(m**(2\/9))**(28\/3) assuming m is positive.\nAnswer: m**(-1367\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjx when three letters picked without replacement from bbxbj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/70460665 and -12\/5.\nAnswer: 70460665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 309*-3\nAnswer: -927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148508095 or -1?\nAnswer: 148508095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*p + 75. Let w(t) = t**3 - 12*t**2 + 17*t - 9. What is the remainder when w(p) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/(-410) + ((-3078)\/(-30))\/(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c + 4. Let n(b) be the first derivative of b - 6 - 1\/2*b**2. Determine n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393.8 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 11*h - 7. What is c(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9*o - 40 = 0. Suppose -v - 3 = -7. Suppose -o*d + v*d + 14 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-18))\/(552\/17122656). Let s = t + 5170. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 24*s**2 - 78*s + 47. Determine r(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10395 is divided by 95.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -6, 4*v + 2040 - 2152 = -4*k. Calculate the greatest common divisor of k and 33697.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.74 + 2.63. Let o = 0.8 - u. Let v = -0.29 - o. What is the biggest value in v, 5\/4, 0.1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crccrcrrccccncrcr. Give prob of picking 1 n and 1 c.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099102031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1969b6b (base 13) to base 14.\nAnswer: 11792c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 310, 468, 626, 784?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1474\/33 + (-3)\/(-9). Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 220 + 10d92?\nAnswer: 111b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 91 = -3*l - 35, 5*s - 23 = l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-19)\/j)\/(j**(-1\/14)*j)*(((j*j\/(((j**(-1\/6)*j)\/j*j)\/j))\/j)\/j)\/j**(1\/42) assuming j is positive.\nAnswer: j**(-263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 70037 and 36596868.\nAnswer: 36666905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962936496 to the power of 1\/2, to the nearest integer?\nAnswer: 44305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/15 + 55\/(-25). What are the prime factors of 4*z\/4 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -0.252\nAnswer: 0.00756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/108693?\nAnswer: -4\/108693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288004508?\nAnswer: 2, 3, 7, 23, 61, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*b - 2374*b = 1618*b + 59885 - 197445 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -374.4 - -380.4. What is the second smallest value in -3, -115, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*r - 2*z, r + z - 11 = -0*r. Suppose r*f = 222 + 50. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 6*j + 3. Let n be p(6). Suppose -5*r = -n*r. Suppose r*g - 2000000 = 4*g. What is g rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15a (base 15) to base 2\nAnswer: -100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 75*127752\nAnswer: 9581400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3 + sqrt(4)\/sqrt(2) + -2)*3.\nAnswer: -15 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 46*n**2 - 472*n + 11. What is p(15)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1146*s + 1145*s + 6 - 2*s**4 - 2*s**2 - s**3 + 2*s**3 in the form m*s**2 + i + f*s**3 + t*s + a*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 554*r**2 - 76305*r - 7125. What is k(297)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.179 * -103.\nAnswer: 18.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p - 9 = 0. Suppose -4*c + 8 = -2*h, -c - 12 = -0*c + p*h. Suppose 0*f + f + 4*o - 747 = c, 4*f - 2944 = -5*o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j*k**3*t + 102*j - 53*k**4*t**2 + 124*k**4 - 113*k**2 + 6*t**2 wrt k?\nAnswer: 12*j*t - 1272*k*t**2 + 2976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 3) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -398*n*s - 10*n + 1324*s - 107555 wrt s?\nAnswer: -398*n + 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -2.8\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -223230?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -176*s**2 + 163*s + 5. Determine j(-2).\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1375 + 451. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23224663141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 3*i - 3*i)*(50*i - 182*i**2 - 90*i + 43*i).\nAnswer: 2002*i**3 - 33*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g. Let l be a(-1). Let u = l - -3. Is 3 a factor of (-10 - -7) + 1*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76384\/((-12474)\/81))\/8?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 1)*(-7)\/(-3). Let g = s + 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 248202666?\nAnswer: 248202672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.85 - 10.85. Let f = 7 + -6. Sort 0, f, m in decreasing order.\nAnswer: f, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s - 4*f, -2*s - 2 = -f - 0. Suppose 2*o = 3*o - 6. Suppose r - 20 = 5*i, 37 = 5*r - 3*i - 41. Solve s = -o*m + m + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 40. Let r(t) = t**3 + 8*t**2 + 2*t + 18. Let d be r(i). Let j be -1*(d + -1) - -2. Solve 4 + j = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (675\/18 - 7) + 6\/(-4). Suppose -t - d*t = -1620. What is the highest common factor of 594 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 7:24 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from rrffxfxf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9.7. Let g = 0.3 - f. Let u be 345\/575 - (0 - (-1)\/((-15)\/(-504))). What is the second biggest value in -1, u, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 - 64788*j - 129573\/2.\nAnswer: -3*(j + 1)*(j + 43191)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3267831*1.7\nAnswer: -5555312.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 2. Let f be m(-2). Let q = -20 + f. Let x = 2 + 0. Sort x, 4, q.\nAnswer: q, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 89*y - 35. What is the units digit of k(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = -3*o. Let x be o\/(-4) + 76\/(-112). Let w be (6\/(-8))\/((-4)\/(-16)). Which is the second biggest value? (a) w (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m = 0. Let o = 121\/8 - 15. Let s = -1.03559 - -0.03559. Which is the nearest to -6? (a) s (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -246408390 - -246410883.01913. Let t = 2493 - a. Round t to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*h - 18, -6 = -10*h + 5*h - d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -63, 0.212.\nAnswer: -63, 0.212, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -84. Let t be ((-2 + 1)*a - -33) + 0. Calculate the highest common divisor of t and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - w + 4941 = 0, -193*j + 188*j + 24765 = -5*w. What is the greatest common divisor of 1455 and j?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4))\/(b\/b**(4\/5)))\/((b\/(b\/(b*b\/(b*b**(2\/23)))))\/(b\/b**1*b))*(b**(-3)*(b\/(b*b**5))\/b)**(-30\/11) assuming b is positive.\nAnswer: b**(37232\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a*a)**(-1\/41)\/(a\/a**(1\/12))**2 assuming a is positive.\nAnswer: a**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74754586 to the nearest integer?\nAnswer: 8646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*a = -518*a - 1430 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -657.\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11873 not equal to -225562\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -1554.\nAnswer: -13\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -4, 0, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eecccyi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -46. Let c be (-9)\/12*2\/(-3). Let d be -1 - (2 - 18\/5). Sort c, d, f.\nAnswer: c, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 1. Let g(u) = u**3 - 8*u**2 - 9*u. Let l be g(9). Give z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-280)\/(-4))\/(-35))\/(128\/(-8)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15166*t**3 + 15175*t**3 + 116*t**2 - 271*t**2 + 15176*t**3 - 45519*t**3 - 571*t**2.\nAnswer: -2*t**3 - 726*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g + 4. Let q be (-8 - -7) + 15\/(-3). Let v(l) = 23*l - 12. What is q*v(c) - 17*p(c)?\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v - 5. What is o(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 204693.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 6*f - 1. Let w be (-34)\/(-6) - (-2)\/(-3). Let m be z(w). Let q(i) = i - 3. What is q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*l - 0. Suppose 2*o - 3*o + 16 = -4*h, o + 24 = -l*h. Sort o, 4, 8 in decreasing order.\nAnswer: 8, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:15 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {f: 5, s: 1, v: 1, h: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -293 in -39, -2\/5, 5, -2, -0.1?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95.48 + 115.6. Let p = c - 20.119997263. Round p to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -8.5, 2\/3, -10, -1\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*r + 86*r + 46*r + 12*r - 17*r.\nAnswer: 221*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-600)\/(-160) - 5)*((-184)\/1)\/1. Let d be -9 + 0*(-3)\/(-9). Let s be (6\/d)\/((-2)\/69). What is the highest common factor of h and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a1 (base 14) in base 12?\nAnswer: -26b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 1395?\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 6*m**2 + 6*m. Let k be d(-4). Suppose -k*a - 59 = -9*a. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -147 or -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**20)**16*(((f*f**3*f)\/f*f)\/f**(-2\/9))\/(((f*f**(-2)*f)\/f)\/f**3) assuming f is positive.\nAnswer: f**(-5179\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1913 + -673. Let i = s + -1016. Suppose 3*v = -0*v + 84. Calculate the greatest common factor of v and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 7\/4)*34 and (-4)\/(-6) + 20 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 8*f - 15959 = -3*f, -4*d - 4*f = -8012. What is the least common multiple of 3663 and d?\nAnswer: 21978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2 (c) 13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 p when three letters picked without replacement from qqqpppqppp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 36*o - 262. Let c be h(-47). Let l = 783 + c. Solve 0*p + 21 = l*p + k, -3*p + 2 = -2*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 9*l - 4. Let g be k(8). Suppose g*o - 10 = -6. Suppose -2*c + 3*c - 4 = 0, s + 9 = 3*c. Solve -s*b = -q - 4*b + o, 0 = -q + 2*b - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-1) + 2)\/(-2). Let t be 1*(-4)\/(-6)*6. Let m = 6 - t. Solve 2*p = -u + 7, l*p = m*p - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(175) + 2 + sqrt(175) + 2)*4 - (3*(1 + sqrt(175) + 5))**2).\nAnswer: -1887 - 500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 + 1111?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and 1.01.\nAnswer: -10.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqpqxyyxxqqqjqp. What is prob of picking 2 y, 1 q, and 1 x?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1937604)\/(-305) + 1\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 314*f**2 - 5*f - 4. Let a(z) = 11*z**2 + 1. Calculate -4*a(i) - h(i).\nAnswer: -358*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by -240.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 - -141. What is the remainder when 24 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/8 (b) -1\/8 (c) -2\/7 (d) -0.27 (e) -17 (f) -4.3 (g) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 1.1. Let h = -461 - -461. Let y = s + h. Is y at most as big as 0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282\/20 + (3893\/170 - 23)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 18*x**2 + 78*x - 10. What is y(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/52*4)\/((-378)\/(-273)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f - 3*j + 1 = 76*f, -4*f + 4*j + 20 = 0. Solve 4 = -f*r - 35*a + 30*a, 0 = 2*r + 5*a - 8 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6176 + 35113 + 3*u - 4*u + 0*u + 6197 to g + b*u and give g.\nAnswer: 35134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 4*c**2 - 3*c - 5. Determine h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -246 + 63. Let k = p - -106. Let s = k - -154. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(2) - ((sqrt(2) + 1*sqrt(2))**2 + 1) - (((sqrt(30)\/sqrt(3))\/sqrt(5))**2 + (sqrt(2) + sqrt(8)\/(sqrt(8)\/sqrt(2)))**2).\nAnswer: -20 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 56914806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18733 from 0.02.\nAnswer: -18732.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241.876kg to nanograms.\nAnswer: 1241876000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w - 26310 = 156*w - 4008 for w.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88395 + -322995377\/3654. Find the common denominator of -75\/56 and d.\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ingmmgik. What is prob of picking 1 k and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.44 and 358?\nAnswer: 515.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1603, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4 + o + o**3 + 2 + 8 + o**2 - 5. Let q(r) = 12*r**3 + 2*r**2 - 9*r + 2. Let y(g) = -2*j(g) + q(g). Find the second derivative of y(h) wrt h.\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 11. Let r = 6.01 - y. Let k = r - -0.49. Which is the second biggest value? (a) k (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let l(p) be the second derivative of -p**6\/144 + p**4\/3 + 2*p. Let t(u) be the third derivative of l(u). What is c(t(w))?\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(10 - -160))\/((108\/(-10))\/9)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68604 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -22. Suppose -4*q + i + 23 = 0. Solve 0 = v + 2*v - q, z - 10 = -3*v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, -1128, -3127, -5926, -9525, -13924, -19123?\nAnswer: -25122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o. Let w(a) be the third derivative of a**5\/12 + 33*a**2. What is w(m(q))?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -9. Solve -c - 3*d + 4 = 0, s*c - 5 - 2 = -5*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321789 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/((-372)\/10695*(-20)\/56).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 - 65. Let y = i + -46. Solve 4*v - 3*v = -y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*(-81)\/(-27324)*3*12\/(-27).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 40. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(8 - (-54)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20992, 41914, 62836?\nAnswer: 83758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4500 + 4420. Let t be (-2 + 1)*(-758)\/2. Let k = n + t. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 20*d = -507. Suppose 7*q - d = -6*q. What is the greatest common divisor of q and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -503874, -504151, -504428?\n\"Answer: -277*o - 503597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v + 271*v - 3567 + 903 = 0. Calculate the highest common factor of v and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/3)\/(4\/12). Suppose 0 = 3*h + i*h - 190. Suppose 3*r = -10*j + 5*j + h, 2*j = 5*r + 20. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**37\/(o*o**5*o\/o**(-2\/3)))\/(((o\/(o*o\/o**(-1\/2)))\/o*o)**(-47)*(o\/o**4*o)\/(o\/(o\/o**(-4)))) assuming o is positive.\nAnswer: o**(-3811\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 45*a**4 + 3340*a**3 - 9655*a**2 - 2310*a = 0.\nAnswer: -77, -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-3)*2\/16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*c**2 + 3*c**4 - 18*c**2 + 2*c**4 - 79 - 3*c**4 + 78 to the form u*c**4 + z*c + r*c**3 + v + i*c**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 11:19 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 44 = 4*x, -3*x + 7*x + 390 = 5*a + 470 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6631 + -948. What are the prime factors of w?\nAnswer: 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.231 + 5.21076. Round p to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1120)\/84*(-39)\/(-104)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 4*m + 35. Suppose w + 187 = -2*w - m*v, 4*w + 259 = 3*v. Let l = 95 + w. Calculate the remainder when 86 is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 2*d - 114.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/(-80))\/(-1) + (-1 - 27\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7673 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 1.7, 0.4, 857, -0.1, 5\/17?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5332)\/129 - -44)*((-109)\/56 - -2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46534 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 47 = 14. Suppose h*p - 229 - 98 = 0. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 - 0.64. Let w = m + -0.03. Let k = -20.41 + 0.41. Which is the smallest value? (a) w (b) k (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16494773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 68. Let i(k) = 6 - 59 + b*k + 32. Let d be i(4). Solve 24 = 5*o - q, -d*o - 3*q = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000097537 to 6 decimal places.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51010067 is divided by 398?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33296\/423 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -886028 rounded to the nearest one thousand?\nAnswer: -886000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 12. Let m be (-572)\/(-77) + 6\/r. Find the second derivative of 4*j**2 + 18*j**4 - 4*j**2 - 12*j**4 + m*j wrt j.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -243? (a) 0 (b) -2 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -33, -87, -167, -273?\n\"Answer: -13*t**2 + 11*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 6:50 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090367 to four decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.448 + 17.1. Let n = 0.166 + c. Round n to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a - 26*a = 2*o + 2, -3*a + 2*o = -5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 12. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(1*-2))\/(-19 - -18). Suppose 24 = 3*w + 2*f + 254, -2*w - 3*f - 150 = i. Let c be (1\/(-3))\/((-8)\/w) + 3. Is 18 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*j - 48, 0 + 57 = -5*t + j. Let h = t + 13. Is 10 + -10 - (-106)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*c**2 + 15 - 6*c**2 in the form d*c**2 + b*c + k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8241408 divided by 6?\nAnswer: -1373568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**4*t - 305*o**4 + 6461*o - 11662136*t with respect to o.\nAnswer: -12*o**3*t - 1220*o**3 + 6461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + 70595408\/12. Let q = 3932950 - d. Round q to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + 6*(0 + (sqrt(125) - (sqrt(125)*-3 - sqrt(125)))*-2 + sqrt(125)))**2.\nAnswer: -540*sqrt(5) + 364501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648540 and 1908?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1267682 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, -3\/2, 2\/13, 10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 127, 110, 57, -50, -229?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-10 + 4 - -6) + 4) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w**5 - 1\/12*w**4 + 0*w**3 + 1\/105*w**7 + 0 + 0*w + 0*w**6 - 3*w**2. Find the second derivative of b(g) wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 97482.86ug?\nAnswer: 0.00000009748286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 29877652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*s + 6633 = -6467 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18\/19, 1\/12, 3.1, -3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 3. Let w be r(2). Let x = w + 39\/2. Calculate the common denominator of x and ((-15)\/(-45))\/(20\/642 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -268944*j**4 + 147*j**3*p**2 - 2*j*p**2 - 13108064*p wrt j?\nAnswer: -3227328*j**2 + 882*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 - 1 = 0. Suppose d*g = 585 - 33. Let v = g - 222. Round v to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*b - 26, 0 = -178*o + 176*o - 4*b + 20. Solve -q - o = -5*t, -3*t - 9 = 5*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 2*n - 4*n + 2*n + 3*n - 4*n + (-4*n + 5*n + 0*n)*(3 + 1 - 3) - 9 - 11*n + 0*n + 14*n.\nAnswer: 6*n - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*a - 4. Suppose 2*o - 42 = -a*o. Which is smaller: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/20)\/(44\/(-220))*(-14)\/(-4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 402667503?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -35. Suppose 3*b = m + 2*m + 12, -2*m + 7 = 3*b. Is (128 + b)*(s - 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40586 times 1?\nAnswer: -40586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11225359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3384*r + 2*q + 163 = -3381*r + 6766*r, 4*r = 4*q + 324 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591 - 619.025. Let b = 544 + -516. Let p = b + a. What is p rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:04 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48477 = 130*p - 36150 - 89183. What is the remainder when p is divided by 89?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 733*n - 114605. Calculate j(226).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -1913907.\nAnswer: 95695.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74.052 - 74. Which is the third smallest value? (a) f (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -337*s + 11. Let i(z) = 339*z - 8. Give 5*i(k) + 4*m(k).\nAnswer: 347*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 495, -34, 1 in decreasing order.\nAnswer: 495, 1, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f. Let r(y) = -3*y**3 - 10*y - 1. Give -5*d(u) - r(u).\nAnswer: -2*u**3 + 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pggg when four letters picked without replacement from {g: 3, p: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 16*n - 43. Let q be u(12). Let y = -1 - -4. Suppose -2*a = -0*a + 6. Sort y, a, q, -8 in descending order.\nAnswer: q, y, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-147*(-128)\/(-10))\/(138\/(-16215)). Let f = m - -329912. Round f to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {c: 1, e: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 + 6 - 3 + 3 + 1 - 2 - 1 + 0 + (4 - 2 - 3)*(4 - 4 + 1))*(g - 2*g + 0*g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:28 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*z - 1. Let k be 2\/(6\/(-4) - z). What are the prime factors of -6*(1 - 0)*k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 7*k - 7*k. Let o(i) = -2*i + 21. Determine o(g(r)).\nAnswer: -2*r + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + c + 2*c)*(-2 + 78*c - 141*c + 4) to the form r + h*c**2 + l*c and give h.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 10, 2*z - y - 18 + 7 = 0. Suppose -z*p = 4*u - 9, -2*u - 6*p + p = -15. Suppose u = -t + 5*t - 24. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/4 + 89*a\/4 + 69 = 0. Calculate a.\nAnswer: -3, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70866 = 82*u + 11*u. Calculate the greatest common factor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/4 - 138*s**4 + 14079*s**3\/2 + 72138*s**2 + 507045*s\/4 - 205800 = 0. What is s?\nAnswer: -224, -5, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0, 3, -3, -5, -61 in ascending order.\nAnswer: -61, -8, -5, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122 and 578.\nAnswer: 35258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26944142 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. What is the third derivative of 7*j**3 - 4*j**3 + 4*j**3 - 2*j**k - 2*j**2 wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1261221884 to the nearest integer?\nAnswer: 35514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**2 - 10*q + 2. Let x(s) = 21*s**2 + 29*s - 6. Let y(n) = -6*x(n) - 17*z(n). Let m be y(-2). Let c be 17\/85 - m\/(-40). Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -403*j + 41. Let w(u) = 134*u - 12. What is -2*v(f) - 7*w(f)?\nAnswer: -132*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-724)\/(-24) + -2 - 1\/6. What is the greatest common factor of w and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201592 and 41584?\nAnswer: 9273232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 - 6*c + 46. Let h be n(0). Suppose 0 = -h*r + 43*r + 762. List the prime factors of r.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 4. Suppose -d = -t - 3. Solve 3*w + 15 = -7*u + t*u, 0 = 3*w - u - 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -8*u**3 - 217642*u**2 + 163238*u + 54412 = 0.\nAnswer: -27206, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2791*t**5\/2 + 8374*t**4 - 16752*t**3 + 13967*t**2 - 8393*t\/2 + 3 = 0. Calculate t.\nAnswer: 2\/2791, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**6\/40 + k**5\/12 + 6*k**2. Find the third derivative of n(i) wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1641, 1646, 1653, 1662?\nAnswer: 1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 144308466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -q + 5*q. Let m = -9 + q. Suppose h - 250 = -2*o, -m*o + 4*h = 3*h - 385. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/8)\/((-162)\/16). Suppose -x = 2*z + 3*z, 5*z = -5*x + 20. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkiikiikikivkkikp. What is prob of picking 2 k?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*r = -13 - 1, 5*q = 2*r + 4. Suppose 5*g - q*z = 429, -2*g + 3*z = -5*g + 249. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(0 - (-1)\/2). Let v = z - -2. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95402728 to the power of 1\/2, to the nearest integer?\nAnswer: 9767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84, -386, -934, -1740, -2816, -4174, -5826, -7784?\n\"Answer: -2*u**3 - 111*u**2 + 45*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14883, -59515, -133897, -238029, -371911?\n\"Answer: -14875*v**2 - 7*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(198)\/(sqrt(486)*-2))\/(sqrt(9)\/sqrt(3)*-6 + 5*sqrt(9)\/sqrt(3)).\nAnswer: sqrt(11)\/18 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*h**4*w**2 + h*s**2 - h*w**3 + 4*s**2*w - 14*s**2 + 3*w**3 wrt h?\nAnswer: -328*h**3*w**2 + s**2 - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:41 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 2. Let j = l - 10. Let i = 4 - j. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/8, -2569, 4, -1, 0.05, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 9*o - 24. Calculate the lowest common multiple of 45 and o.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 take away 21?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u - 8. Calculate a(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 - 9\/((-189)\/22).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f - 5. Let t be 40\/60*3\/2. Let c(h) = -3 + 1 + 3 + h - 2*h. Let z(i) = t*l(i) + 5*c(i). Let q(r) = 6*r**2. Determine q(z(d)).\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:17 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16049137 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 + 1. Give r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4 - 124788*p**3 + 1658793546*p**2 - 5976941789124*p - 14279005341878805 = 0.\nAnswer: -1595, 14397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - -0.2. Let i = -2.07 - -0.17. Let g = 0.1 - i. What is the closest to g in 5\/2, -3, y?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5497 and 3843001?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -5, -12?\n\"Answer: -7*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 29*g**2 - 16*g**2 - 10*g**2. Let i(j) = -4*j. Determine i(z(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjof when four letters picked without replacement from {f: 1, o: 2, m: 1, r: 1, a: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 1. Let n be r(-13). Solve -3*l = -4*j + 4 + n, 2*j + 5*l = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175854 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 924 and 1003527.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, w: 7}. Give prob of sequence wgw.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.51 - -8.51. Which is the closest to q? (a) -2 (b) 2 (c) 1.6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 1012 + 152 = 6*z. Solve 0 = 35*n - 8 + z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 19. Determine c, given that -l*c - 100*c**2 + 97*c**2 + 2*c**3 + c**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26542 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2471282262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12936 less than -0.4?\nAnswer: -12936.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186333, -186331, -186329, -186327, -186325?\nAnswer: -186323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2829 and 984.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5 + 11. Let d(n) = -n**3 - 3*n**2 + 2*n - 3. Let g be d(t). Suppose 3*r - 17 = -g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*h**3 + 54728*h - 54728*h.\nAnswer: -457*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 10*v + 10. Let r be h(-8). Let s(z) = -9*z - 2. Let y be s(r). Let t = 112 - y. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100010101?\nAnswer: -100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let w(c) = -15*c**2 + 2*c**2 + 3*c + 8 - 9*c - c**2. Let z(f) = 12*a(f) - w(f). Let k be z(-5). Solve -2*h + 4*o + 11 = 5*o, -k = -4*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52946047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**6\/10 - 125*a**5\/4 - a**4\/12 - a**3\/6 - 1693*a**2\/2 + 4*a + 652. What is the third derivative of z(n) wrt n?\nAnswer: -72*n - 3750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*z**2 - 3 + 3 - 145*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105951601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*f - 12. Suppose -o = f - 0. Does 4 divide (-17 + 1)*3\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/903797963 or -1?\nAnswer: 2\/903797963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 4:00 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 7 + 2*f + f**2 - 13 in the form r*f + o*f**2 + m and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 4:50 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -289 + 291. Let h = 0.46 - 22.46. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-3)*(-24)\/(-32). Suppose o*t - 21 = 79. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335, -1107, -2381, -4157?\n\"Answer: -251*i**2 - 19*i - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 5:54 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d + 4 = 0, -5*s + 4*d - 29 = 0. What is the third smallest value in -1\/3, -4, 4, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 7:32 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1523864 and 43835.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6431.47ng in micrograms?\nAnswer: 6.43147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108185 and 105?\nAnswer: 324555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6926*x - 20 = 6936*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(11*(-1)\/1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -115451.911 rounded to the nearest one hundred?\nAnswer: -115500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*d**2 + 2285*d - 2285*d.\nAnswer: 149*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, -3, 4 in decreasing order.\nAnswer: 41, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21 - 0\/1 - -1. Let r = i - 0. What is the remainder when 2\/(-6) - (-124)\/3 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-4 + 5 + 3 - (0 - -13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -4. Find the third derivative of 0*j**5 + 3*j**4 + j**2 - 3*j**4 + j**c wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429870 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -1 - 5)*1. Suppose 15*h + 16 - 59 - 17 = 0. Let o be (52\/(-16) + 4)*4*1. Put -4, b, h, o in decreasing order.\nAnswer: h, o, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/42*-2 - 930444\/(-119) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*i = 856*i - 119 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t - 1. Let g(d) = -2*d**4 - 2*d**3 + 12*d + 4. Let s(o) = -g(o) - 4*z(o). Let s(m) = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 173 = 8*j. Let d = -20 + j. What is the second derivative of -10*i + 58*i**4 - 91*i**d - 2*i wrt i?\nAnswer: -396*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*q + 14237, 0 = -q + 4*t + 3396 + 137. List the prime factors of q.\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 - 3.6. Let m = -69 - -761\/11. What is the third biggest value in r, m, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8724, 8660, 8522, 8280, 7904, 7364, 6630?\nAnswer: 5672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/((-60)\/9))\/(6\/32). Does 48 divide ((-26)\/h + 5)\/(-1)*192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*w + 34 = 30, -5*w = -20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/180687 and 7\/2657538.\nAnswer: 300301794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1048 - 1049. Which is the nearest to x? (a) 2\/17 (b) -0.311 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*1\/1 - -5) + -2. Let n = -414 - -413.17. What is the nearest to c in 2\/7, 4, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16742.07 + -16738. Which is the third smallest value? (a) 4 (b) -7\/2 (c) 0.3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 15. Suppose 2*b - 74 = -5*a + 3*b, l = -2*a - 4*b + 12. Let y be (1 - 0)\/(2\/6). Solve 2*z + a = -2*i, z + y*z - i = -8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = x - 2*x. Let v = x + 2. Calculate the common denominator of 57\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268103.8 nanoseconds to microseconds.\nAnswer: 268.1038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -35\/6 (c) -2\/5 (d) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*j + 6368 - 6379, 5*j + 5*h - 18 = -38 + 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20477469, -40954960, -61432473, -81910014, -102387589, -122865204?\nAnswer: -143342865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30365 - -60718. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geejjjjjjgl. What is prob of picking 1 e and 2 j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = 466. Let p = z + 333. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348512 divided by -12?\nAnswer: -112376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-7)*(-3)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, 16.1, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 6266*p**5\/5 - 9329*p - 6133. What is the derivative of b(i) wrt i?\nAnswer: 25064*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:37 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 26*w**3 - 34*w**2. Let n be o(2). Calculate the highest common factor of n and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.565 + -20.565. Let m = 188\/3 - 62. Which is the nearest to m? (a) -4 (b) -2 (c) 0.5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(19) - sqrt(19))*3*3)**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194 + -301. Which is smaller: -105 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -147, 1\/32, -0.47, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512\/2015 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 3, -6\/5, -274, 0.1 in ascending order.\nAnswer: -274, -6\/5, -2\/11, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-25)*(a**(-23)\/a)\/(((a*a**(-20)*a)\/a)\/a) assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2525016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91280 is divided by 21858.\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 90072 and 3?\nAnswer: 90069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1290c - 309?\nAnswer: 12603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 89?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w - 1 + 1)*(-1 + 0 + 2) + 3 - 3 - 2*w - 3*w + w + 4*w)*(0 + 0 - 2*w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllilnnjjllltljtwt. Give prob of sequence lj.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**4 - o**3 + o**2 - o - 1. Let m(j) = 8*j**4 + 13*j**2 + 3*j + 3. Let g(y) = -m(y) - 3*r(y). Find the third derivative of g(u) wrt u.\nAnswer: -120*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -317 - -319. Suppose 0 = 3*i + 8 - 14. Which is the nearest to i? (a) -2\/5 (b) n (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 36. List the prime factors of (-2157)\/(-27) - (-1)\/x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -5\/6, 401389 in descending order.\nAnswer: 401389, 2\/5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 10. Let y = 38 - b. Let c = y + -7. Solve 5*w - c - 7 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56506?\nAnswer: 2, 19, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 5. Let j(l) = -4*l. Let x be 10\/6*(-810)\/225. Let p(a) = 4*a. What is m*p(w) + x*j(w)?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = -627. Suppose -4*r + a + 59 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -3.578383.\nAnswer: -17.891915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 16*w**2 + 3*w + 53. Give q(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 62758028?\nAnswer: 62758028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 143737 times 0.22?\nAnswer: 31622.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.973 + 0.127. Let a = -11 + p. Let d = -939.08 - -939. Put d, 2\/7, a in decreasing order.\nAnswer: 2\/7, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*(sqrt(65) + sqrt(65) + (sqrt(65) - (sqrt(65) - 3*sqrt(65))) + sqrt(65))*-4)\/((-5*(sqrt(50)\/sqrt(5) + sqrt(10)))\/sqrt(2)))**2 + -3.\nAnswer: 16773\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221222123 (base 5) in base 7?\nAnswer: 212526643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6*p + 12 = -p, 2*p = -5*r + 9. Let l(m) = 1. Let a(h) = 3*h + 2. What is r*a(i) - 4*l(i)?\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53e15 (base 16) to base 12.\nAnswer: 1469b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 365, 129, -1124 in decreasing order.\nAnswer: 365, 129, 5, -1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1580 = -352. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -9 - 68. Solve -8*x - 2 = -t*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -127*t - 13242. What is z(-103)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l*l\/l**(5\/2)*l)\/l)*l)\/l**(-5\/4) assuming l is positive.\nAnswer: l**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.09 and -17?\nAnswer: 35.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355 + 1797\/5. Let k = -12\/17 + 53\/51. What is the common denominator of k and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409*b**4 + 60*b?\nAnswer: 4908*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*f + 107 - 105.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-66335)\/(-7) - (-68)\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, 0.1, -21, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8bc - -17?\nAnswer: -8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -284 + 306. What is the remainder when 106 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0*f**2 - 2\/7*f**4 + 2\/7*f**5 + 0 + 0*f + 0*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -17\/2. Let z = -28.83 + 28.83. Which is the second biggest value? (a) 4\/3 (b) -48 (c) m (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17296217053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5560113 divided by 1\nAnswer: 5560113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -46\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + 31. Suppose z + b = 3*k + 3*z, -k + z = -7. Suppose -6*t = -7*t + k. What is the smallest common multiple of t and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)**(-1\/30)\/(i**(-2\/5)\/i*i*i*i**1))\/((i*i\/i**(-1\/3)*i*i)**(-13))**(-4\/3) assuming i is positive.\nAnswer: i**(-3452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 119192389859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-1 + 5)*1 + -4.\nAnswer: -8*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -20, 4, 2\/49, 1?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5\/4 + 21*y**4\/2 - 147*y**3\/4 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-30) - (-2)\/10)\/(28*(-68)\/125664)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169050 at least 168908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 2, m: 1}. Give prob of sequence ssz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 567371312 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 0*q - 2*q. Let s(w) = -w**2 + 2*w + 4. Let i be s(-4). Let d(l) = -16*l. What is i*m(p) - d(p)?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -98611.23338 + -0.38342?\nAnswer: -98611.6168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -214 - 392*y - 204 + 418 - 571*y as z + g*y and give g.\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 30448 and 0.1.\nAnswer: 30448.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -934333 or 3?\nAnswer: -934333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/(3 - (-78)\/(-27)) - -76?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -44141, 0.004, 4?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)*g**(-1\/4)*((g\/((g*g\/((g**(-2\/17)*g)\/g))\/g))\/g**(1\/3))**(-4) assuming g is positive.\nAnswer: g**(-907\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 7*t**3\/3 + 5*t**2\/2 - 2*t - 2. Let n be d(-4). Suppose 3*w + 21 = n. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*s - 60*s + 22*s)*(2 - 2 + 2*s) + (0 + 0 - 2*s)*(s - 8*s - 3*s).\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1618, 2 in ascending order.\nAnswer: -1618, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Let n(w) = -3*w**2 - 53*w. What is n(c(a))?\nAnswer: -12*a**4 - 106*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*s + 2*s. Let h be (10\/(-2))\/(s - 2). Solve -3 + h = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*l*v + a**3*v**2 - 4907*a**3 + 1810*a*l*v**2 - 2*a*l*v - 2*a*l + 412*l*v**2 - l*v - 2 wrt v.\nAnswer: 2*a**3 + 3620*a*l + 824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v + 88 = -2*q, 2*v - 80 = -2*q. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1200)\/(-54) + (-2)\/9. Suppose -5*i = -3*k + a, -3*k + i = -7*k + 60. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*z - 8*g + 9, -3*z = -3*g. Suppose 0 = -5*i + z*o - 6, 0 = 2*i - 6*i - 5*o - 27. What is the units digit of 3*2\/i*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6464 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*x - 34. Let m(n) = n**2 + 7*n + 6. Calculate m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16484440 a multiple of 1130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/(-30))\/((-2)\/200) and 67\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5.4. Let o(b) = 2*b. Suppose -1 = 3*k + 5. Let v be o(k). Sort v, h, -1\/3 in descending order.\nAnswer: h, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 7 - (60 - 14)) + 9\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 161.\nAnswer: -67\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1040, 4, 0.2 in descending order.\nAnswer: 4, 0.2, -1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 234138?\nAnswer: 234128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 4, v: 7, e: 6}. What is prob of picking 1 e, 1 y, and 1 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1520, -1519, -1518?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - 2*t**2 - 3*t**3 + 5*t**2 to v*t**2 + d + o*t + s*t**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*z - 36 = 0, s = -3*s - 5*z - 48. Find the common denominator of 58\/3 and (s - -9)*(-23)\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2 - 9*o + 233 wrt o.\nAnswer: -4*o - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15767 + 15668.13. Let y = i + 100. What is y rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -322313?\nAnswer: -322232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 14*j + 103. Let t be z(-7). Let a be (4\/(-3))\/(4\/(-6)). Solve 0 = a*c + 2*w - 14, t*w + 3 = c + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -252*q + 254*q - 5*o, 3*o = q - 29. Solve -q*c - 17 = 2*u, 6*u - 2*u = 3*c + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85410 divided by -1170?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - z**3 + 2)*(-4 + 2 - 10) + 2*z**3 + 0*z**3 + 2*z**3 to c*z**2 + q*z**3 + a*z + l and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82\/11 or -6?\nAnswer: -82\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p + 12. Solve -p*z = 2*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*a + 164 = 544 + 308 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1375\/9 - 153. What is the third biggest value in m, 0.1, 2\/11, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 3. Let x be k(6). Let z be 6\/(-4)*(-44)\/x. Let n be (-229)\/(-11) + (-4)\/z. Calculate the highest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000110 (base 2) in base 12?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1010001110111?\nAnswer: 1010001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {r: 3, o: 17}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.26? (a) -5 (b) 28.8 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -114013, -114011, -114009?\n\"Answer: 2*y - 114015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 63 = 4*z. Calculate the remainder when 25 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -292791 at most -292791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 less than or equal to 2.402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 41*w + 9. Suppose -4*u = -3*v - 3 - 1, -2*v = -2*u. What is the hundreds digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79589 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + 60\/4. Suppose -4*a + 1 = -x. What is the second derivative of 9*z**4 - 3*z - 3*z**a - 2*z wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 5*j**2\/2 + 13*j + 44. Let l = 8 - 0. Is x(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23405164453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/677, -1, -0.3, 60?\nAnswer: 2\/677","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - -7 - (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-105))\/((-150)\/18).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*k**2 - 495*k**2 - k**3 + 897*k**2.\nAnswer: -k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*((2 - 88\/16) + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 6 = 8*c. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 740 - 740. Solve x = -12*m + 16*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -73*t - 10. What is the units digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 354, 355, 356, 357?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53 and 7?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 - 3*v**5 + 5*v**5 + 3*v**5 - v**5 - 3*v**5 + 2*v**3 - 3*v**5 - 2*v**3 + (-2*v**3 + v**3 - v**3)*(-4*v + 4*v + 2*v**2).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4245 is divided by 95.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.043 + -0.043. Let g = -29.34 + -8.36. Let p = g + y. Round p to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -13683, -3, 5, -9 in descending order.\nAnswer: 5, 1, -2, -3, -9, -13683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21229 divided by -1365?\nAnswer: 1633\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 14 = j - 9*m, -j + 10 = -4*m. Suppose -53 = l - 46. What is the units digit of ((-2)\/j)\/(l\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/20 - 7*h**4\/12 - 7*h**3\/6 - h**2 - 4*h. Let f be o(-6). Solve 0 = -f*x - 5 - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105720 is divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/8394066 and -101\/5596044?\nAnswer: 16788132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5 - 3) + 6)*(0 - -1). Let n be (3\/d)\/(12 + (-100)\/8). Solve -5*z - n*j - 25 = 2*j, -5*z = -5*j - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*j - 0*w + w, -4*j = -2*w + 16. Let b be 24\/16*1*(0 + -2). Let r be b\/(-2) - j\/6. Solve 2*i + 36 = -2*i + 5*h, -4*i - r*h = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 10*u - 71 - 65 + 349.\nAnswer: 10*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -43158?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 57. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1546*p - 7098 - 867 - 12199 = -3495*p. Suppose 0 - 3\/7*h**p + 12\/7*h**3 + 0*h - 9\/7*h**2 = 0. What is h?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 6*n**2 + n - 6. Let k be c(-6). Let x be k\/32 - (-204)\/32. Is 4 a factor of x - (3 + 0) - 7\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/(5381\/21524*(-1744)\/(-2)).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022909 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056409 is divided by 1490?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 12*s**2 - 4 + 2*s**4 - 4*s in the form t*s**2 + h*s**4 + r*s**3 + c*s + x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2158686 from 0.10295.\nAnswer: 2158686.10295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (3 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4.09. Let v = 1.4204 - 1.0204. What is the second smallest value in -0.3, -2, v, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 * 264\nAnswer: -12144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*q + 550 = -236*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = d, i + 3*i - 3*d = -8. Let p be 4 + -1 + 2 - i. Suppose -p*c + 30 = c. Calculate the smallest common multiple of 11 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 3, -11?\n\"Answer: -14*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5908 and 844.\nAnswer: 5908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2536 - ((-36)\/42)\/(6\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1236492*b**2 + 3852*b + 3.\nAnswer: 3*(642*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2472291 is divided by 1936.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 4, y: 1, r: 3, a: 1}. Give prob of sequence rr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5579 (b) 0.05 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -92, -102, -126, -170?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-20) + -1 + (-25)\/(-2). Let i be (-8)\/q + 56\/12. Solve -9 = -5*n - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let y(t) = -5 - 5*t**2 - u*t**2 - 2*t**2 - 10*t + t**3 - 9. Let x be y(11). Sort -3\/5, -5, x in ascending order.\nAnswer: -5, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 995 divide 14418517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 98 + -9 - 0 - -1. Calculate the greatest common divisor of 72 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 5.4. Which is the third smallest value? (a) y (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64.01101 - -64. Round v to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 + 5*a**5 - 4*a**4 + (-2 - 2 + 2)*(-2*a**5 + 0*a**5 + 3*a**5) + (-4*a**2 - 2*a**5 + 4*a**2)*(32 - 45 + 37).\nAnswer: -45*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and -12.4?\nAnswer: -818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1482.55 take away 57047462?\nAnswer: -57048944.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4804.435 minutes?\nAnswer: 288266100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -1633*r**7\/42 + r**5\/10 - 4379*r**3\/6 - 2305*r. What is the second derivative of z(y) wrt y?\nAnswer: -32660*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3358110 divided by 111937.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:03 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10797*b. Let f(x) = 4*x**2. Calculate f(c(p)).\nAnswer: 466300836*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 3*x + 10 - 3 + (0*x + 0*x - x)*(0 - 3 + 1)*(3 - 1 + 0).\nAnswer: 3*x + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003301797 to five dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 5*w + 13728 = 0, f + 2*w = -w + 1518. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3992 - -1?\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)*k\/(k*k**(-1\/6)*k)*(k*k*k*k\/k**(-4))\/k**(2\/7))\/(((k*k**(-1))\/k*k)**(-8)*(k\/(k**1*k))\/k**(1\/2)) assuming k is positive.\nAnswer: k**(641\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 (base 11) in base 10?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -2. Let u be (9 - -3) + 3\/(l\/4). Suppose u*c = 11*c + 9. Solve -7*x = -c*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9944.\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.5 - -40.5. Let h = n + -53.855. Let l = h + -0.102. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1108 divide 14153592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 0*q**3 + q**3)*(0 + 0 + 2*q) + (5*q**3 + 3*q**3 - 7*q**3)*(-4*q - q + 2*q).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Suppose 4*z - 9 = 3. Let y(o) = -z*o**2 + 0*o**2 + 2*o**2. Determine t(y(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v. Let q(u) = 7*u**2 - 2*u - 976. Calculate q(z(i)).\nAnswer: 1372*i**2 + 28*i - 976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.48 and 9562804.\nAnswer: 9562805.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1)**(-45))**(-40))**(-34) assuming c is positive.\nAnswer: c**(-61200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -279*g**3 - 12*g**2 - 6*g - 11. Let s(k) = 279*k**3 + 10*k**2 + 5*k + 9. Calculate -5*i(t) - 6*s(t).\nAnswer: -279*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*b + 165 = 506*b - 5*h, -656 = 16*b - h - 111 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (-48 + (-31 - 8))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100, 227, 340, 433, 500, 535?\n\"Answer: -g**3 - g**2 + 137*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23500\/2750 - (5 + 0 + 3)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p - 31*p - 2*o = -13, 2*o = -2*p - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + -1368373?\nAnswer: -1368330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1accf - 196?\nAnswer: -1ae65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 10*g + 18. Let m be v(-8). Let d be 7\/4 - 2\/(-8). Suppose -d*u = -12 - m. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53724586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**2. Let u(i) = -2*i + 2*i + 2*i. Give z(u(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2541144 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 - 183 = -4*q. Let r = 428 + q. Calculate the remainder when r is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 <= -31286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 3, n: 1, g: 4, y: 1}. What is prob of picking 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 18 = 3*c, -3*p + 3*c = 2*p + 24 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62049029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (3 - (-24 - -8))) + 5 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*a**3*q**3 + 2*a**3*q + 7*a**3 - 46*a**2*q**2 - 5*a*q**2 - q**3 wrt a.\nAnswer: 642*q**3 + 12*q + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, -59, 280?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1157\/3, -0.22, 3 in ascending order.\nAnswer: -1157\/3, -0.22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7540150 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -313?\nAnswer: -83\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 13, -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 9, 0 = p + 5*j - 156 + 26. What is the remainder when p is divided by 84?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*o**4 - 2936*o**2 + 98*o - 14544008 wrt o.\nAnswer: -36*o**3 - 5872*o + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-4)\/6)\/(((-170)\/(-408))\/(740\/(-37))).\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -39. Factor n*i**3 - 4\/5 + 8\/5*i**2 - 4\/5*i**4 + 0*i.\nAnswer: -4*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 2*s**2 + 0*s**2 - s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147697 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 3. Let w(z) = -z + 2. Let l(q) = -5*w(q) - 3*x(q). Let s(t) = -23*t - 1. Let d(b) = -4*l(b) + 2*s(b). Let k(p) = -p**2. Give d(k(u)).\nAnswer: 42*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (129\/1)\/3*-1. Let k = x - -60. Let r = -17 + k. Which is the nearest to 1\/3? (a) 6\/11 (b) -1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 6 - 30. Let b(f) = f**2 - 10*f - 3. Let t be b(u). Let w = t + 44. Calculate the greatest common factor of w and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 2*m - 3*m + (-6 + 2 + 3)*(1100 - 163*m - 1100) - m + 3*m - 3*m.\nAnswer: 157*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 401567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*o**4 - 66*o**4 - 3*o**3 + 41*o**4 + (o + 2*o**2 - o)*(-4*o**2 + 6*o**2 - 3*o**2).\nAnswer: 31*o**4 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -69186.5107874\nAnswer: 69192.5107874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*z - 2*d, -3*z = -2*z + 3*d - 12. Let l = -119 + 129. Solve z = -5*k - 0*k - l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 14. Calculate the smallest common multiple of g(3) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1424132.8 and -0.4.\nAnswer: 569653.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = 2*y + 4*s, 3*y = -2*s + 15. Let i(z) = -2*z + 6. Let m be i(7). Let l be ((-4)\/m)\/((-1)\/(-12)). Solve l + 0 = -y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*(a*a**31*a)\/a*a)\/a*a*a**(1\/6)*a)\/((a*(((a*a*a**(-23)*a)\/a)\/a)\/a*a)\/(a*a*a**(3\/17))))**(-42) assuming a is positive.\nAnswer: a**(-42371\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218273, 436546, 654819, 873092, 1091365?\nAnswer: 1309638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 2:36 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3437*o**2 - 292*o**2 - 813*o**2 - 105*o**2.\nAnswer: 2227*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -4471*t**6\/120 + 667*t**5\/30 + 4281*t**2. Find the third derivative of g(x) wrt x.\nAnswer: -26826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-10)*(((b\/b**(-15\/4))\/b)\/b*b)\/b)\/(b\/(b**(-2\/13)\/b)*b*b**2) assuming b is positive.\nAnswer: b**(-541\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-56))\/(9\/63).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**3 + 7*y**4 + 3*y**3 + 2*y**3 + 120*y - 119*y to the form g + c*y**4 + q*y + u*y**2 + h*y**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2 - 4*w + 24 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3998632 to the power of 1\/2, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -338 + 340. Solve -4*s - q = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234355 + 204567 = 6242*y + 108096 for y.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56786.\nAnswer: 2, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k + 2. What is the remainder when a(-1) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1367021*v**3*y + 2*v**3 - v*y**2 - 880047 wrt y.\nAnswer: -1367021*v**3 - 2*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2 = -2*f. Is (f\/2)\/(3\/(-1434)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:31 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/60 - (41 + (-2070)\/50). Solve -m*j**2 + 5\/4 - j = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2849*f**5 + 460*f**2 - 1134*f**2 - 4164*f**2 wrt f.\nAnswer: -170940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*g*z - 38*g - 66835*z wrt g.\nAnswer: -100*z - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*(-36)\/264)\/(2220\/16)?\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -0.66. Let n = t + -0.8. Which is the closest to n? (a) -2 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 252763236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Let m = f + -4.0000032. Round m to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:36 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.4 (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0*y + 17*y - 15*y + 45. Is w(27) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1566 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1046\/11 + -100. Calculate the common denominator of (-6)\/(-45)*50\/3 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*h - 9, -j = 3*h - 2*j - 1. Suppose r - h = 5*q - 73, 10 = 2*q - 5*r. Solve q = -6*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 160, 237, 312, 385, 456?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/56, -0.5, 0, -3\/7, 33?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**3\/2 + 3*c. Let v be f(7). Is v\/(-14) + (-185)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 18*p + 23. Let c(f) = -2*f**2 + f + 1. Let r = -593 - -592. Let n(h) = r*x(h) + c(h). Give n(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13225 and 246773900.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 9*s**2 + 1. Let w be l(9). Let a = -12 + 17. Suppose a*m = 6*m + w. Is -1\/65 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 77. Put 15, 2, u in decreasing order.\nAnswer: 15, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-64)*-6)\/(66\/16). What is the closest to -2\/5 in w, -2\/3, -4, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*o**4 - 4*h*o**3 + 8*h*o**2 - 2*h + 21*o**4 - 6 wrt o.\nAnswer: 24*h*o - 24*h + 504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/(q*((q\/q**(-10))\/q)\/q*q)))\/q)**10 assuming q is positive.\nAnswer: q**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*y + 51 = 0, -2*y - 98 - 130 = -4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 282, 474, 684, 906?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 2 + (3 - 8). Let w = 9 + o. Suppose 11 = w*m + 1. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**3 - p. Let t be g(1). Let l(w) = -6 + 7 - 2*w + t. Give l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756)*2 + sqrt(756))\/(sqrt(35)\/sqrt(5)*4).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**2 + 5. Let q = 12 - 6. Let k(h) = -h**2 - q*h**2 - 2 - 4. Let t(v) = -5*i(v) - 4*k(v). Differentiate t(l) with respect to l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - h + 76, -20 = -5*h. Suppose -4*g + y = -0*g. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*(sqrt(192) - -1*sqrt(192)) + -2 + -2 + -3 + 1*sqrt(192) + -1)**2.\nAnswer: 672*sqrt(3) + 9444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -377.1 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 18 - 5 + 21 - a + 3*a. Let q be r(-14). Find the third derivative of 2*u**2 + q*u**5 + 6*u**5 - 2*u**5 - u**2 wrt u.\nAnswer: 600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 7:24 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 127 and 116\/8013 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205 and 14.8183?\nAnswer: -3037.7515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -265\/4, 73.3, -61 in ascending order.\nAnswer: -265\/4, -61, 73.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1 + sqrt(304))*3 - (-4 + (sqrt(190)\/sqrt(160) - (sqrt(304) + 0))))**2 + 5)*5.\nAnswer: -8385*sqrt(19)\/2 + 1594815\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 - 0) + -1)\/((-2)\/6). Suppose -2*q = -g*q - 8, 3*r = 2*q - 10526. What is r rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 98 - 26. Let c = h + -36. Suppose 3*b - 12 = 0, -25 = -3*l + b + 13. Calculate the remainder when c is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 25 = -2*s, -5*u - 5*s + 10 = -0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9232, -17888, -26544, -35200?\n\"Answer: -8656*a - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 10:53 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1833063126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 2\/(264\/(-26)) and -4*2704\/(-1536) - 6 - (-6)\/(-8).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-2) - (2 - 1). Suppose 4*h = 3*x - 14, -11*x + 15*x - 28 = 3*h. Suppose -2*z = x*d - 6*d - 10, -4*d = 0. Sort 3, -2, o, z in ascending order.\nAnswer: -2, 3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (1 - 1)\/(-1). Let v be p - 0*(-3)\/3. Suppose -2*b - 10 = -k, -2*b = -v*b - 20. Solve k*r - 5*r = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/7 (c) -0.5 (d) 4 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*u**3 - 2*u**3 - 10*u**3 + 2*u**3 to b*u + a*u**3 + k*u**2 + h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Find the third derivative of d**5 + j*d**5 + 6*d**2 - 3*d**2 - 3*d**5 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 30*w = 2. Let m be 6\/(-54)*2\/2. Let p = -0.1 + 0.2. Which is the third smallest value? (a) w (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70620 and 481812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 3080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716 a factor of 139862808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/10837?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzvjjzjv. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.18 + 3.38. What is the nearest to 0 in z, -6, 5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 388335568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 - 4. Let r(z) = 14*z**2 - z + 7. Let b(f) = 7*q(f) + 4*r(f). Find the second derivative of b(x) wrt x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 6 + 4. Let j be y - (-1)\/(-8)*4. Let v = 6 + -7. Which is the nearest to v? (a) j (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1586404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 5 + (-12 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 5.66567.\nAnswer: 0.0566567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/15 - 46*m**4\/3 + 74*m**3\/5 + 686*m**2\/15 - 224*m\/15 - 152\/5 = 0.\nAnswer: -1, 1, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29 + -108820.\nAnswer: -108820.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 5. Let h = -12 - -17. Let d(b) = -1. What is h*d(i) - s(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1465718657 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 36. Let v be b(13). Let h be (-4)\/v + (7 - (9 + -4)). What is the smallest value in h, -1\/5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1 + (0 - 2 + 4)*(1 + 2 - 1) + (1 + 4 - 1)*(1 + 0 + 0))*(0 + 0 - l) to the form z*l + w and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let s be 60 + 3\/(0 - k). Let q = s - -61. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 10 = 10*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o + 104 = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u + 58*u - 945 = 0. Calculate the greatest common factor of 81 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 9. Let h(z) be the first derivative of -z**2\/2 + 2*z - 2. Calculate the least common multiple of x and h(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-8*2\/24*-2). What is the highest common factor of m and 7650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1173, -1099, -1039, -999, -985, -1003, -1059, -1159?\nAnswer: -1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**4\/24 + 10*d**3\/3 + 72*d**2. Let z(f) = -f - 11. Let j be z(9). Let x be g(j). Put -15, x, -4 in decreasing order.\nAnswer: x, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -19.7, 0.278?\nAnswer: -19.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/3)\/((-2)\/(-36)). Let h be (-1)\/5*k\/32. Let i = 153 + -153.1. Which is the closest to i? (a) -4 (b) -4\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -g + 3*a - 6, 3*a = -5*g + 6. Suppose x = 5*r + 3 + 203, g*x = 4*r + 651. What is the remainder when x is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 8:45 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 62671589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2212 - 86273\/39. Are l and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740.1879804 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159200 divided by 995.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2945 divided by -1\nAnswer: 2945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3\/3 - 1. Suppose 4*p - 4 = 4. Let x(q) = 4*q**2 - 2*q. Let n(a) = p*f(a) + x(a). Factor n(h).\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (11 - 0) + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 3, 23.\nAnswer: -22, 2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 5*w**2 + 5*w - 1. Let m be q(4). Let r = -73 + 35. Let c be 7\/35 - r\/10. Solve c*a - a + m = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2)\/r))\/r**(-1\/9)*r**(-1\/2)*r*r*r**(4\/3) assuming r is positive.\nAnswer: r**(125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**4\/4 + 26*n**3\/3 + 33*n**2\/2 - n - 94. What is the tens digit of t(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0.3. Let s = -352353 + 352287. What is the third smallest value in z, -1\/2, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/((-1260)\/700). Let y = 2 - 2.34. Let n = y - -0.04. What is the biggest value in s, 3\/5, n, 0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -56?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2685421, 2685342, 2685261, 2685178?\n\"Answer: -u**2 - 76*u + 2685498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1473 - -3?\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -189 in increasing order.\nAnswer: -189, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3253 + 1593. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 - z + 98*z**2 + 844037 - 844037)*(-3*z + 2 - 2).\nAnswer: 15*z**5 - 294*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**3 - 4*b + 3. Let h(c) = -7*c**3 + c**2 - 5*c + 4. What is 5*g(l) - 4*h(l)?\nAnswer: -2*l**3 - 4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/84*-68 + -2)*-7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-7 + 3 + 140*k - 130*k).\nAnswer: -20*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2581*-1.9.\nAnswer: -4903.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - -0.35. Let f = -130003 - -130010. Which is the closest to f? (a) -5 (b) x (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 + 80*w + 140 = 0. What is w?\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 6*f + 4. Give i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1959 - -1959.35. What is the second smallest value in 3, 2\/67, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggkk when four letters picked without replacement from {g: 4, k: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*k - 18. What are the prime factors of 122\/(2\/3*k)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -203, -4 in ascending order.\nAnswer: -203, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/17 + -23\/51. Sort 0.4, 7, q, 0.3 in ascending order.\nAnswer: q, 0.3, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3708036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 5*g, -2*t + 2*g = -6. Suppose 22 = -t*q - 2*f + 69, 35 = 5*q + 5*f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 110, -0.4, 23, -3 in ascending order.\nAnswer: -3, -1, -0.4, 23, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15385610 rounded to the nearest 10000?\nAnswer: 15390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29722470 to the power of 1\/2, to the nearest integer?\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 171 = 2*n - 4*n, 0 = -2*n + 2*s - 174. Calculate the remainder when 70 is divided by (-127)\/(-5) - (-4 + n\/(-20)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 65729805113308?\nAnswer: -65729805113307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.5. Let j = -33.081 - -0.081. Let o = j + 32.8. Which is the nearest to -0.1? (a) s (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from plllplllpll?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 19*t**7\/42 + 49*t**4\/12 + 1207*t**3\/3 + t**2 + 2568*t - 1. Find the second derivative of w(j) wrt j.\nAnswer: 380*j**3 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.451, 1\/8, -59 in increasing order.\nAnswer: -59, -0.451, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161\/270 + -1\/270. Let b be 2\/90 - 2\/(-10). Sort i, -2, b in ascending order.\nAnswer: -2, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132324 (base 5) in base 7?\nAnswer: -115056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 5, 2\/17, 0.3, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*-6*(-2)\/2. Let p = 196780 - 196783. Sort 11, p, u in decreasing order.\nAnswer: 11, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 575395*l**2 - 575410*l - 1150800.\nAnswer: 5*(l - 2)*(l + 1)*(l + 115080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.73 - -4.3.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/40? (a) 5 (b) 10\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13323, 26724, 40125?\n\"Answer: 13401*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*q + 32*q - 544 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:58 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**2 + 14*j + 1. Suppose -16*s - 47 = 17. What are the prime factors of i(s)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 2889510*t - 2889507.\nAnswer: -3*(t - 963169)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 2*q + 63 = 0. Let s = 15 + q. Suppose 2*z - z - s = 0. Calculate the greatest common divisor of 12 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -28205?\nAnswer: 28205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29477, 29454, 29425, 29396, 29373?\nAnswer: 29362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25083 + 103510. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -106120.\nAnswer: 23\/26530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-9 - -16 - -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n - 211. Let c(v) = 3*v**2 + 159*v. Give w(c(i)).\nAnswer: 6*i**2 + 318*i - 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1. Let p(u) = -8*u**2 - 3*u + 5. What is -6*f(r) + p(r)?\nAnswer: -8*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*a**2 + 29*a**2 - 14*a**2)*(5*a - 2*a - 2*a) to r*a + i*a**2 + l*a**3 + s and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 2*n - 2, -4*n = -5*q + 22. What is the nearest to q in 28, 2\/7, 1\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10f - -2c0?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81138608 by -4.\nAnswer: -20284652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 - 3)) + -8 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2936*j**3 + 3184*j**2 wrt j.\nAnswer: 17616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/3 + 6038312*l**2\/3 + 4557639399520*l\/3 - 18230654211200\/3 = 0.\nAnswer: -1509580, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/940, 2\/35, -3?\nAnswer: -1\/940","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262 + 264. Find the first derivative of 71*y**j + 83*y**2 + 72 + 63 wrt y.\nAnswer: 308*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:06 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1087 and -5597634676.\nAnswer: -5597634677.1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 234 - 93. What are the prime factors of j?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 1:04 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -6\/17, 1, -3, -0.15 in increasing order.\nAnswer: -3, -6\/17, -0.15, -0.11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 - -180. Suppose 42 = 6*s - n*s. What is the highest common divisor of 49 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/50)\/((-1)\/(-1)))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 2.06. Let t = 2.9 - s. Let o = -0.83 + t. What is o rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 13*d + 33. Let y be g(-6). Is (-12967)\/y + (-6)\/(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = -318 + 357. Which is the closest to -1? (a) 2\/7 (b) -7 (c) n (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkkkkkkbkkk. What is prob of picking 1 k and 1 b?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 409929648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -119 + 12 - f**2 - f - 2*f**3 - f**4 + 57 + 61 as i + l*f**3 + j*f**2 + b*f**4 + d*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9013 is divided by 479.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22518614 is divided by 1682.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2895657*q. Let z(w) = 81*w**2. What is o(z(c))?\nAnswer: -234548217*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.915 centimeters in kilometers?\nAnswer: 0.00754915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783*z = -791*z + 4224. Calculate the lowest common multiple of 528 and z.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -499 (b) 0.2 (c) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/9, 1\/2, 30, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 9 - (13\/26)\/(37\/(-1369))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/9 - 22*w**4\/9 - 8*w**3\/9 + 88*w**2\/9 = 0. Calculate w.\nAnswer: -2, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 36072*d - 216435. Give v(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Is 16 a factor of (-32)\/((o + -2)*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 54, 76, 98, 120, 142?\n\"Answer: 22*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(-13 - 7 + 18 + 6*p).\nAnswer: -12*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let d(g) = -8*g + 19222176. Determine d(f(l)).\nAnswer: -16*l**2 + 19222176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + p + 1. Let y(h) = -26*h**2 - 4*h - 1. Let r(u) = -2*c(u) - y(u). List the prime factors of r(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(39 - 0 - 1). Let k be 41\/((27\/(-6))\/9 - -1). Suppose 0 = -2*i - k + y. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 4\/9 (b) 2\/17 (c) 15 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 1 (c) 8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9052.9969 - -9054. Let f = z + -0.2093. Let v = f - 0.8. Round v to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, 1 h, and 1 u when four letters picked without replacement from {g: 3, u: 1, h: 2, m: 10}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 27. Let p be x(9). Let f = 36 - p. What is the second derivative of 8*h**4 + 9*h + h**4 + f*h wrt h?\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9366659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-46.46405\nAnswer: -4.646405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5293 and -6.\nAnswer: 31758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4823 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4150700 to the nearest 10000.\nAnswer: 4150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10048819 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 7*s**2 - 1. Let w be l(7). Let p(d) = -174*d**3 - d**2 - 2*d - 1. Let c be p(w). Suppose -4*f + c = -54. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 2*z - 196 = 0. Let g = -26 + z. Solve 0 = -5*r - 2*a - 7, -3*r - 10 = g*r + 5*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, 12239729?\nAnswer: 12239729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -78. Put 5, h, -0.4, -1\/23 in increasing order.\nAnswer: h, -0.4, -1\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28473203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*p - 47, 4*v - 38 - 21 = -p. Suppose y - v = -0*y. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 85*c**2 - 12154*c - 164. Give i(143).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.13. Let x = s + -0.43. Let n = -0.06 + -1.94. Which is the closest to n? (a) -5 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/20 + 3*l**4\/4 + 5*l**2\/2 + l. Let c be j(9). Factor -14*z**3 + 26*z**2 + z - 8*z**2 - c*z.\nAnswer: -2*z*(z - 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2606298 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/22 + (-28)\/88. Let s = 4.37 - 4.67. Put 2, -1, g, s in descending order.\nAnswer: 2, s, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 6, 7, 10, 1 in descending order.\nAnswer: 10, 7, 6, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*q + 21, -297*w + 296*w - 5*q = -19. Let v(g) = 7*g**3 + g**2 - 2*g + 4. Let x(t) = -6*t**3 - t**2 + 2*t - 3. Calculate w*x(r) + 3*v(r).\nAnswer: -3*r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*v - 14*v - 36 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.057, 97\/2, 0.1, -1\/16, -1 in descending order.\nAnswer: 97\/2, 0.1, 0.057, -1\/16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x**2 + 141*x**2 - 50*x**2 - 48*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from bbhbhbh.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2108*c**4 + 2*c + 144?\nAnswer: 25296*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1115 - 1110. Solve -z*i = -2*p + 5, 5*i - i + 4 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 - 3*h + 2. Let u be d(5). Suppose -u = -4*m, -5*o = -3*m - 41 - 25. 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 c be 2\/(-4) - (-3)\/6. Let a = 3 - c. Let q(t) = t**2 - 4*t + 5. Let m be q(5). Solve 0*g - 4*g + 2*p - m = 0, a = 3*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6099840 to the nearest integer?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1848 + -1847. Let h = -67\/4 - -17. Which is the closest to h? (a) q (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9920.62 less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2516\/131695 + 210535900351\/15013230. Let k(l) = 1560*l - 17. Let y be k(9). Let s = y - o. What is the common denominator of s and 49\/20?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w**3 - 2*w - 13*w**3 + w - 2*w**2. Let i = -7 + 16. Calculate the remainder when f(-1) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z - 1 + 3 + 1. Let s = 5022 - 5027. Let x(k) = -5*k + 7. Determine s*n(t) + 2*x(t).\nAnswer: 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/20 - k**3\/3 - 364*k**2. Let d(i) = -i. Let v(x) = -2*x. Let n(a) = -8*d(a) + 3*v(a). Give m(n(z)).\nAnswer: -12*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 - 119*u**3\/3 - 1009*u**2\/3 - 889*u\/3.\nAnswer: u*(u - 127)*(u + 1)*(u + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 291269147*b**2 - 3*b + 291269245*b**2 + 4*b - 3*b**3 in the form g*b + a + r*b**2 + o*b**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 367? (a) -0.4 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10180855 or -10180861?\nAnswer: -10180861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18747, -18968, -19191, -19422, -19667, -19932, -20223, -20546?\nAnswer: -20907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h - 9. Let b(m) = 4*m + 11. Let s be b(-4). What is the tens digit of j(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2530300?\nAnswer: 2, 5, 25303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**5\/20 + 13*v**4\/12 + 7*v**3\/3 + 21*v**2\/2 + 100*v - 153. Let c(h) be the first derivative of k(h). Give c(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 22 - 34 = 0. Suppose 2*z + 15 = -2*c + i*c, -c - 14 = 3*z. Solve -4*u - c = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17781 and 0.3.\nAnswer: 17781.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.48 + 0.36. Do -0.1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3230 and 228973?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -56, -4, 1, 9802 in descending order.\nAnswer: 9802, 14, 5, 1, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8255295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 6:10 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 - -93)*(-55)\/10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*30\/125*(-460)\/207.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -790 + 804. What is the highest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*z**2 + 1 - 1 + 1598*z**2.\nAnswer: 2467*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.2, 2, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.96783301 to two dps.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366\/85 bigger than 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:00 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (24 - 21 - (-1 + 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 20*q**2 - q - 5. Let t be r(-10). Let x(j) = 6*j + 8. Let o(f) = 7*f + 9. Let s(i) = -5*o(i) + 6*x(i). Determine s(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12230 (base 4) to base 2.\nAnswer: -110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.49 - -22.49. What is the smallest value in c, 30, 13, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 29 = 139. What is the highest common divisor of d and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 1\/60*s**6 - 1\/15*s**5 + 4*s + s**2 + 0*s**3 + 0 + 0*s**4. Factor z(g).\nAnswer: 2*g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (-1 + sqrt(125) + -6*-1*sqrt(125))**2 + 6*(sqrt(125) + 1 + 1 + sqrt(125))**2) + 2.\nAnswer: 340*sqrt(5) + 18296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 211*o**3\/3 - o**2 - 2*o - 8. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2322520\nAnswer: -11612600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkktekeuktkt. Give prob of picking 2 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**3)**(1\/54) assuming k is positive.\nAnswer: k**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9784424 a multiple of 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 551*q + 300*q)*(1 + 2 - 1 + (-2 + 1 + 3)*(7 - 3 + 0)).\nAnswer: 8530*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -82 - (7890 + -7853)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000364054868 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 990750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1282160 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + 3*(sqrt(52)\/sqrt(2)*2)\/(sqrt(2) - ((sqrt(6) + sqrt(18)\/sqrt(3) + sqrt(6))\/sqrt(3) - sqrt(2)))).\nAnswer: 3 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12375647 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f. Let i(s) = -5*s**2 + 6*s. Suppose 3*l + 3 = -0. Give l*i(q) + 6*w(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23280809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5357*f - 3492*f + 110035 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -29. Let j be -1 - (-3)\/(45\/(-786)). Let p = y - j. What is the closest to p in -2\/7, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 35 = 4*q - 9, 0 = -3*i. Let k = 37 - q. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 30*n**2 - 18*n - 14. Does 16 divide y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -80, -83, -88, -95, -104, -115?\n\"Answer: -g**2 + 2*g - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**3\/7 - 20*s**2\/7 + 19*s - 42 = 0.\nAnswer: 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*r**2 - 111*r**2 + 9 + 287*r**2 - 3*r - 116*r**2 - 5 to v*r + w*r**2 + l and give w.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3609559, 7219133, 10828731, 14438359, 18048023?\n\"Answer: f**3 + 6*f**2 + 3609549*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c - 10 = 50*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t**2 - 220*t + 1. Calculate c(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-24)\/4 - -2). Suppose -5*c + 4*t + 16 = -0*t, 0 = -h*c - 3*t + 19. What is the remainder when 47 is divided by 3 + c\/8*26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -282*w - 11. Let p be t(-6). Let c = p - 540. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = o + 46. Suppose q + 690 = r, -3*r = -o*r + 5*q - 666. Is r a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/85)\/(-8 - -7)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 2)\/(0 - -10). Suppose 5*v = 2*b - 14, 5*v + 3 = -b + 10. Let w be (0 + -1)\/(6 - b). Is w at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2087156, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182197.\nAnswer: 167, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 768*p - 755*p - 299 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*r*t**2 + 2*r*t - 193*r - 742*t**4 + 66 wrt t?\nAnswer: 44*r*t + 2*r - 2968*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 80. Suppose -22 = h*o - 3*o. Let n be (o*1)\/(10\/(-90)). What is the greatest common factor of n and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23a + -1c898?\nAnswer: -1cad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2344*(-1)\/2 - -9. Let m = p - -1928. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 309 + -309.3. Let y = -3.2 - -3.6. What is the closest to y in -5, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 1, r: 2}. Give prob of picking 1 o and 2 r.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -398*k + 397*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssbrbssrbrsssb. Give prob of sequence rs.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21753648 and 1553832?\nAnswer: 21753648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005029 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzz when four letters picked without replacement from {c: 1, z: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065615 divided by 285?\nAnswer: -3739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1591021826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9351784623 + -14\nAnswer: 9351784609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31317366 is divided by 45191.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1733 divided by -4.\nAnswer: 1733\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/15))\/(n*n**(3\/11)))\/(n**(1\/23)*n**(-19)*n) assuming n is positive.\nAnswer: n**(68122\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 10. Let b be w(8). Suppose s = b*s - 80. Calculate the remainder when 46 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/9 and 5\/20 - ((-22505)\/(-4180) - 5).\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1.8, 4.55, 3, -0.4 in ascending order.\nAnswer: -0.4, -1\/5, 1.8, 3, 4.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 47*b**2 + 19*b - 27. Let u(t) = 52*t**2 + 18*t - 30. Give -9*s(x) + 8*u(x).\nAnswer: -7*x**2 - 27*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(112) + -2) + 5 + ((sqrt(7) - sqrt(28)\/sqrt(4))**2 + 2 - -4*sqrt(56)\/sqrt(8)).\nAnswer: -8*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a + 18. Let g(q) = 17*q + 36. Let f(j) = -4*g(j) + 9*l(j). Suppose y + 14 + 6 = 5*k, 3*y = 15. Is f(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17*p**2 - 151*p - 9. Suppose 5*l = l + 8. What is the least common multiple of q(9) and 2 + 3 + l + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/16 - 10\/8. Let y be 6\/15 + -2 - w. Suppose 0 = -5*j + i - 8, 0 = j - 0*i - 5*i - 8. Which is the nearest to -1? (a) y (b) 1\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 5*h**2)*(-3*h + 0 + 0) + h**3 + 0*h**3 + 4*h**3)*(-16*h + 5 - 5).\nAnswer: -320*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 6.2. Let y = -4 + n. Let x = 0.5 - 0.7. Which is the closest to -1\/2? (a) y (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5887*x = -5888*x + 3428. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 10 = 3*a. Let t be (8 - a)\/(-3) - (-169)\/60. Let m = -1\/60 - t. Which is smaller: 0.1 or m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 4736.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) -0.3 (c) -2 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489857 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492797.\nAnswer: 29, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (sqrt(51) - sqrt(7344)*-1)\/(sqrt(147)*-4)*2.\nAnswer: -13*sqrt(17)\/14 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332036399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*q + 26 = -6*l, -2*q = -4*l - 84. Let u be 4\/(-33)*(-15)\/10. Which is the second smallest value? (a) 0 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + (2 - -2) + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/8 + d**3 + 12*d**2. Let l be n(0). Solve 0 = -2*o - 0*o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, r: 1, f: 5, p: 1, o: 1}. Give prob of sequence ofr.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g - 6015 + 6006 + 7*g. Let v(u) = -u - 10. Calculate -4*c(b) + 5*v(b).\nAnswer: -b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 2*n**2 - 11*n**2 + 8*n**2 + 325*n in the form s*n + f + v*n**2 and give s.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + -4.95. Let v(n) = -n + 9. Let g be v(7). Let j = -54 + 54.6. What is the closest to 0 in j, p, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - -6 - (4 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and (240\/(-180))\/((-1)\/90)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1082 and -25\/232.\nAnswer: 125512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-225)\/(-6))\/(3\/12). Suppose 15 = 3*x + i. Let d = 25 - x. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23840 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000139547 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -565*h**3 + 309 + 115*h**3 + 302*h**3 wrt h?\nAnswer: -444*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - 9*h + 13. Let n be d(6). Let o = n + -30. What are the prime factors of o?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43890\/13965*(-70)\/(-1595).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Suppose v + 1 - 3 = 3*g, 4*v = -m*g + 8. Suppose 2*a - a - 53 = g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164873 (base 9) in base 6?\nAnswer: 2104233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000230246263 to seven decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10031955725.15175915 - -14402564794.15175962. Let z = j - 4370609017. Let t = 52 - z. Round t to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755\/390 + 10\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j**2 + 35*j + 33*j + 4 - 70*j to the form u*j**2 + p + m*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z. Let m(n) = -124*n - 147465. Give v(m(y)).\nAnswer: -496*y - 589860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006390471 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170355604 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.1, 30, 61.1, -18, -1?\nAnswer: 61.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 - 5\/((-440)\/1397). Put 1, -4, -5, -0.3, u in descending order.\nAnswer: 1, u, -0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**5*u - 473*h**3*u**2 - 84*h*u**2 + 16*h + 2*u**2 wrt h.\nAnswer: 40*h**3*u - 2838*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*v = b - 4*b - b - 56*v + 6, 4*b - 7*v + 10 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*i - 3786 = 0, -i = 3*i - 8. Let a be (-2)\/5 - g\/(-90). What is the greatest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -217870431.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35637\/8 - 4452. Find the common denominator of y and 3\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrqqqqqqqrrqqqq. Give prob of picking 3 q.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 19*n**2 - n. Let q be d(3). Let p = q + -397. Let j = -108 - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.18 (b) 0.01 (c) 1213 (d) -0.2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {l: 9, x: 2, a: 8}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6)\/a)\/a**5)\/(a*a**(-6\/7)*a*a*a**1\/a) assuming a is positive.\nAnswer: a**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 55 - 2*o**2 + 7*o**2.\nAnswer: 2*o**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2842 - -2842. Let y(m) = 3148*m - 1. Let w be y(1). Suppose -4*a + w - 455 = x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, z: 2}. What is prob of picking 1 j and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30410121 (base 6) to base 15\nAnswer: -1236a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5381460, 5381462, 5381464?\n\"Answer: 2*x + 5381458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12890, 1, 3 in increasing order.\nAnswer: -12890, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -554*r - 1488*r**4 - 5101 + 5101 + 511*r**4 wrt r.\nAnswer: -11724*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301 (base 4) in base 7?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 159*n + 1556. Determine s(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3842, -15806, -35754, -63692, -99626, -143562, -195506?\nAnswer: -255464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825954 = 11213*x - 11246*x - 77943. Is 99 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffaf when four letters picked without replacement from {f: 3, a: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180ba (base 12) to base 8.\nAnswer: -103616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6979*s + 6. Let f(q) = 41873*q + 39. What is -4*f(i) + 26*m(i)?\nAnswer: 13962*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 553*a = -558*a + 21, 2*x - 13 = -3*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. What is the third derivative of 4*w**6 - m*w**2 + 0*w**2 - 3*w**6 + 4*w**2 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 15*t**2 - 4*t - 4. Let l be x(7). Let s(f) = 2*f + 7. What is the units digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-10) + 11 + -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2)*-1)\/(35\/5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -914, -4762, -11180, -20174, -31750, -45914?\n\"Answer: -w**3 - 1279*w**2 - 4*w + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 - 15 + 2)*(-2*s + 3*s - 3*s) + 3*s - 4*s - 2*s)*(-3*s**3 - 18*s**3 + 86*s**3) to u*s**4 + l*s**3 + j*s + i + v*s**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 1 (c) 0 (d) -0.68 (e) 0.02 (f) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3))**(1\/3)*i**7\/(i\/(i\/(i\/(i**(1\/16)\/i))))*((i**0)**(-21))**(4\/7) assuming i is positive.\nAnswer: i**(745\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d**4\/7 + 296488*d**3\/7 - 2747183682*d**2\/7 + 2746961320*d\/7 - 686721800\/7 = 0. What is d?\nAnswer: 1\/2, 18530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:41 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1680710*c**5*d - 4*c**2*d + 126100*c**2 wrt c?\nAnswer: 100842600*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 123\/(-6) - (1 + 2). Let q = -24 - b. Is q != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 12:53 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 497868?\nAnswer: 497868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1036 and 294 + (15 + 18 - 19).\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(33)\/sqrt(3)*-6.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/24 + 5*x**2 - 66. Let c(w) be the first derivative of -16*w**3\/3 - 1. What is c(y(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.32 - 115.12. Let i = -103 - o. Which is the biggest value? (a) 3\/2 (b) 0.7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-36) + 3185\/(-210))*(-80)\/(-30)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*z + 11519, -3*d - z - 11514 = -8*d. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**11\/(d**(-2\/41)\/d*d))**35)**(-24))**(-3\/11) assuming d is positive.\nAnswer: d**(1141560\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 + 2*k**4 - 4*k**4)*(4*k - k - 2*k) + 3*k**5 + 0*k**2 - 2*k**2 - 2*k**2.\nAnswer: 4*k**5 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/25 in -84, 3\/4, 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043934 rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -5\/3, 5, -0.3 in ascending order.\nAnswer: -5\/3, -0.3, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 9*c + 8. Let g be w(-7). Suppose -4*k + 2*k = -g. Let z be 4 - k\/(33\/(-180)). Calculate the greatest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h. Let i(q) = -36*q - 50*q + 90*q. Give -2*b(l) + 5*i(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(162) - (1 + sqrt(162) + -1*sqrt(162))**2).\nAnswer: -45*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-7) + (-144)\/(-504). Let s = -74 + 139. Sort s, 4, c in decreasing order.\nAnswer: s, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 17. Suppose 0 - w = 2*j. Let q = 32\/49 + -18\/49. Which is the nearest to 0.1? (a) j (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/94000 and -81\/14687000.\nAnswer: 1380578000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is baa (base 12) in base 14?\nAnswer: 8a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5805 and 122765.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24010718 divided by 21.\nAnswer: 24010718\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 0 (c) -2 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.56 + -0.56. Let z = -15 + n. Suppose 82 = 641*u - 723*u. Is u at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 3 (c) 0.1 (d) -2 (e) -0.1 (f) -2.4 (g) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1101 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 15) to base 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 13*r**2 - 4*r - 49. Let d be u(-13). Suppose -2807 + 185 = -d*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*v**2 - 71*v**2 + 146*v**2 - 49*v**2 - 73*v**2.\nAnswer: -139*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 10*p - 27. Let f be g(7). Let h(q) = -q + 4. Determine h(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103279704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2. Suppose 4*h - 17 = 3*x - 1, h - 4 = 4*x. Let a(s) be the second derivative of 0*s**2 + x + 0*s**3 - 6*s - 1\/12*s**4. Determine a(v(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4185.940378 + 4185.9. What is d rounded to 4 decimal places?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 248950 divided by -383.\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21894 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 630.6154 litres to millilitres.\nAnswer: 630615.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((924\/(-32))\/21*2).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26523 is divided by 127?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287*u - 126 = -1293*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 7*u - 95. Let m be b(-14). Solve -4*q + 3*f = 12, 3*q + m*f + 9 = 7*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -835740, -835747, -835766, -835803, -835864, -835955?\nAnswer: -836082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2622, -6447, -10272?\nAnswer: -14097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2. Let w(q) = -20*q + 10*q + 12*q. Calculate n(w(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -497\/4, 3\/11.\nAnswer: -497\/4, 0.2, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/((2\/8)\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(4\/2)*-20. Let f be (-42)\/(-15) - (-2)\/x. Factor l**2 - f*l**2 - 5*l + l**2 + 3*l.\nAnswer: -l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/2 + 3818*p**3\/3 - 3821*p**2 + 3822*p + 1642. Factor h(l).\nAnswer: 2*(l - 1)**2*(l + 1911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*h + 51*h + 234890 = -14*h. Which is bigger: -1414 or h?\nAnswer: -1414","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -11. Let q = 9 + z. What is the units digit of q\/(-27) - 254\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c3 - -f4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717520.7 nanograms to tonnes.\nAnswer: 0.0000000007175207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 864039828 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/240 - 11*o**4\/48 - 5*o**3\/3 - 7*o**2 - 4*o - 3. Find m such that v(m) = 0.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -937\/8, 2\/5, -0.7, -5 in decreasing order.\nAnswer: 2\/5, -0.4, -0.7, -5, -937\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 9*r - 86. Suppose 6*n - 88 = 2. Let f be k(n). Let c(i) = -i**2 + 4*i. Determine c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/3)\/((-10)\/30). Let i = u - -71. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 4. Let u = 0 + 0. Let j be l(u). Suppose -j*h = -3*z + 30, -2*z - h + 20 = -2*h. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h. Let j(o) = -3*o + 12. Suppose 0 = 3*w + 9*w - 60. Let n be j(w). Let a(k) = -k. Let p(d) = n*a(d) - v(d). Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301422450 (base 6) to base 3\nAnswer: 100122010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106*34\/(-34238)*836.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/35*-1)\/((-1)\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/188023 and -1\/154742929.\nAnswer: 154742929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8131 is divided by 185?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47780446 - 22.\nAnswer: 47780424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2 - 21\/14) + 3. Which is the biggest value? (a) -2\/7 (b) y (c) -20\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 6*s - 80. Let p(v) = v**2 + 19*v - 2. Let c be p(s). Let o = 36 - c. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5*(1 - 2))\/(21\/168). Suppose -36*g - 20 = -r*g. Sort 3\/2, 0, g, -2.\nAnswer: -2, 0, 3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/22 and -71\/24512?\nAnswer: 269632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1633, 3265, 4897?\nAnswer: 6529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 844*i*y**3 + 18*i - 9*y**2 - 3*y wrt y.\nAnswer: 5064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 - 0. Let y be d*14*(-4)\/(-8). Suppose 2*m - y*m + 15 = 0. Which is the third biggest value? (a) -3 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335034 to the power of 1\/2, to the nearest integer?\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 3183*o - 2178280. What is w(996)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 109784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**5\/20 + f**4\/3 + f**3\/3 - f**2\/2 - 2*f. Let k be l(-2). Let r(n) = 2*n**3 - n**2 - 2*n - 4. Is r(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95052344?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2190070, 4380185, 6570296, 8760403, 10950506?\n\"Answer: -2*l**2 + 2190121*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -642 + -14?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let a(n) = -18*n**c + 1 + 9*n - 8*n + n. What is a(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -62, -72, 1, 3 in descending order.\nAnswer: 6, 3, 1, -3, -62, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059760224?\nAnswer: 2, 499, 128993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13770663088 less than -54.3?\nAnswer: 13770663033.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f*f*f\/(f**(-7)\/f))**(1\/57) assuming f is positive.\nAnswer: f**(11\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1352 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32059181*g**3*i - 35608137*i wrt g?\nAnswer: -96177543*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 50*w**2.\nAnswer: -5*w**2*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4 - 40*c**3\/3 + 48*c**2 + 293. Factor d(b).\nAnswer: 4*b*(b - 6)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*u = 381*u. Which is bigger: -2.44 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -469, -471, -473, -475, -477?\n\"Answer: -2*s - 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, -3, 6, -1\/10.\nAnswer: -3, -1\/10, 1, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1859 in 2\/7, -0.07, 0.04?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 12, i: 5}. What is prob of picking 2 i and 1 t?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-80))\/((60\/205)\/(-4)). Let s = n - -1473\/280. What is the common denominator of s and 42\/25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177775 is divided by 10905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210576 and 3608.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(-2*sqrt(468) + 0 + 5*1*sqrt(468)) + sqrt(468)*1*1 + 3 + -1))**2.\nAnswer: 9600*sqrt(13) + 2995300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/2370 and 20\/2133?\nAnswer: 21330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.74 + 0.15?\nAnswer: 2.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-five halves of a hour?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(175) - sqrt(175)) + 2*sqrt(28)\/sqrt(4) + 4.\nAnswer: 2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 11*y + 2. Let m(k) = -k**3 - 34*k**2 + 35*k - 11. Let o = -335 - -300. Let l be m(o). Give w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 6:38 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(9\/5))*k*k*k*k*k**0)**41\/((k\/k**(2\/9))**(1\/3)*k*k**(-1\/2)*k**6) assuming k is positive.\nAnswer: k**(22529\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 2*r - 14 + 22, -2*c = -4*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 130494 = 108066. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -4. Let k(g) = -2*g - 3. Let n be k(y). Let o = -12 + 15. Put 4, n, o in increasing order.\nAnswer: n, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -2. Suppose k*j + 7*i - 6*i - 264 = 0, -2*j + 88 = -4*i. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 44 = -4*y + 16, 3*y = j - 11. Suppose 2*l - j*c - 7343 = 0, 3*l = -2*l - 2*c + 18285. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:02 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 2*p - 1. Let g be z(3). Let v = -10 + 5. Let x be g\/(-1) + (-3 - v). Solve x = 5*y - y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcd when three letters picked without replacement from {x: 2, l: 1, v: 5, d: 2, c: 4}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 15*j**2 - 12*j - 29. Let d be -2 + 4\/22 + (-2436)\/(-154). Let a be t(d). Let y(s) = 12*s**2 - 2*s - 1. Give y(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 3. Suppose -273*v + 288*v - 780 = 0. Let m(w) = -44*w**2 - 26. Let s(t) = 5*t + 1. Let z be s(1). What is v*f(k) + z*m(k)?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.6 + 51.8. What is t rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 143 - 128 = 0. Suppose 12 = -4*l, x*p + l + l = 669. Calculate the least common multiple of 15 and p.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8389181.\nAnswer: 23, 364747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -65*w + 351 + 257 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 4*j**2 + 13\/4*j**5 + 10*j**3 + 3*j + 71\/6*j**4 - 5*j**6 - 125\/42*j**7 + 0. Factor u(b).\nAnswer: -(b - 1)*(b + 1)*(5*b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -605982 divided by -13\nAnswer: 46614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 9:32 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 35471\nAnswer: -17735.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 162, -72, -464, -1014, -1722?\n\"Answer: -79*m**2 + 3*m + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*w - 5, -3*b + 4 = 8*w - 12*w. Solve f - 25 + 18 = b for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.241 + 1.931. Let w = -0.23 - c. Let u = w + 1.9289. What is u rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -10101?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -6)\/(-1) + 5. Suppose 22 = b*t - 11. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 89 + 13. Suppose 15*w + 8 + 7 = 0. Let n be -3 + 16\/((2 + w)*-1). Is n < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -99 + 622?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 6. Let p(m) = 2*m - 6. Let x(j) = -5*n(j) - 6*p(j). Let a(b) = -b**2 - b + 1. Let k be a(-4). Is 14 a factor of x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 111687483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -15) + -5 + -1 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:33 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00199984 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -23*y**2\/2 - 11*y - 1. List the prime factors of x(-6).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5)*k)\/k*k\/(k**(7\/5)*k)*(k\/(k\/(k**(2\/25)*k*k)))\/(k*k**(2\/17)) assuming k is positive.\nAnswer: k**(-356\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2501034 rounded to 4 dps?\nAnswer: -0.2501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(3)*-2)**2 + 4 + -1*-2*sqrt(12) + -4.\nAnswer: 4*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2 + 4*s**2 + 1 - 7*s + 5. Let n be g(2). Suppose 44 = -4*i + n*i. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3\/2 + 72498*n**2 + 145005*n\/2 - 144999 = 0. What is n?\nAnswer: -2, 1, 48333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/420 - b**4\/84 + 6*b**2. Let x(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 - 56*j**2 + 41*j**2 - 4 + j.\nAnswer: -15*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*f - 0 - 12, -g = -2*f - 5. Let u = 4 - g. Let h = u - -5. Solve 4*z = 2*z + h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 3:22 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18661 is divided by 64.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.5 + -94.5. Let y = -0.07 + -0.23. What is the second biggest value in -0.4, y, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7\/5)*w**(-3\/11)*w*w assuming w is positive.\nAnswer: w**(18\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u + 4*u - u + 1 + 2*u. Let n be (-39)\/12 - (-1)\/4. Let z = 9 + n. What is j(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*o - 2*n + 4, -18*o - 41 = -23*o + n - 43 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from aagaagagaga.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 - 18*m**3 - 12*m**2 + 18*m + 15 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 - 2*w - 12. Let c be d(-8). Let h = c + -1. Let y = -2 + h. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Suppose 25 = -0*h - 5*h. Let b be j(h). Let g = -2 + 21. Solve o + 4*c + g = b, -o + c + 3*c + 21 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 + -142?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 378*o**3 + 43*o**3 + 21*o**3 to the form w*o**2 + m*o + y*o**3 + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11609 - -5746462\/495. Find the common denominator of -37\/594 and z.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 41\/13 + (70\/65)\/(-7). Suppose 48 = 2*x + d*h, x = 4*x - 4*h - 106. Suppose 5*q = -4*v + x, v + 8 = -q + 3*v. Sort 3, q, -10, 5.\nAnswer: -10, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 4*g + 0*g)*(286 + 441 + 110 + 448) to the form c + x*g and give x.\nAnswer: -1285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(-5 + 1 + sqrt(700)))**2 - (sqrt(1400) + sqrt(1400)*-2)\/((sqrt(2) - 2*sqrt(2))*6).\nAnswer: -3365*sqrt(7)\/3 + 11396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20937 + 21052. Solve -4*y - 15 = 5*m, -2*y - 3*m + 106 = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-96)\/(-6))\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21\/19 + 225\/152. Suppose -66*r - 344 = -68*r. Let i = 159 - r. What is the nearest to 0 in o, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 = 414. Let b = z - 102. Suppose 0 = 8*l - b*l - 2815. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 96 = -96. Let l be (-457)\/(-8) + 4\/p. Let f = 122 - l. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/12 + 7*b**3\/2 - 21*b**2 - 843*b. Calculate g(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55440 a multiple of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -2085.14 and -13569.\nAnswer: -15654.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5.42898*0.08\nAnswer: 0.4343184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 718, 1385, 2054, 2725, 3398, 4073, 4750?\n\"Answer: r**2 + 664*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**6\/120 - 3*b**5\/20 + 3*b**4\/8 - 5*b**3\/3 + 2*b**2 - 5. Let u(p) be the second derivative of w(p). What is u(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*f = 8, 13 = 3*u - 5*f - 0*f. Let l(s) = -s**3 + 5*s**2 + 5*s + 11. Let o be l(u). Sort 1\/14, 0.3, o in decreasing order.\nAnswer: o, 0.3, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 9*g + 285. Let m be j(22). Sort -0.29, -0.4, m, 1\/4, 1\/3.\nAnswer: m, -0.4, -0.29, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151189\/107 - 1413. Let a = 117\/535 + q. What is the fourth smallest value in -1\/2, a, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-1)\/(3 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -189 (c) 0.13 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*z**2 + 166*z**2 + 3*z**4 - 1 - z**3 - 345*z**2 + z to c*z**4 + i*z + r + q*z**3 + o*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (0 - -18 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189816839?\nAnswer: 7, 43, 1913, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwznwzwnz. What is prob of picking 2 w, 1 n, and 1 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(5) + -2)*3.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - x = 20, 9 = -3*w + w - 3*x. Suppose -5*f + w*h + 271 = -0*h, 5*h + 222 = 4*f. Does 11 divide (-4)\/(-10) - f\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2363, 2361, 2359?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**4 + 4*t**4 - 3 - 2)*(-7*t - 3 + 3 - 4*t - t + 3*t + t - 4 + 4 - 2*t + t - t + (-t - 2*t + t)*(2 + 0 - 4)).\nAnswer: 12*t**5 + 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 + 2 = 0. Suppose -3*f - 3 = 0, q + 2*f + 8 = i. Which is the nearest to 2? (a) 3 (b) q (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11319 divided by 21?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**2 - z**3 - z**3 + 0*z**2 + z**3 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/126 and 85\/224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-3)\/(-6) + -17. Let v = c - -29. Solve -5*j + 3*h = -v, -5*j + h + 11 = -0*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(3*-2)*0\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -939\/13897, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 14, -0.4, -52, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5413, 22770, 51747, 92350, 144585, 208458?\n\"Answer: f**3 + 5804*f**2 - 62*f - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40*((-312627)\/14 - 2). Round j to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104107 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2. Suppose -n - 4*j + j = -6, 4*j - 12 = 0. Let d = n + 4. Let f(y) = 1 + 366*y - d - 358*y. Calculate f(q(i)).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let x(h) = 3*h + 4. Let w(p) = 22*p - 48*p + 3 + 2 + 30*p. Let i(g) = 4*w(g) - 5*x(g). Determine i(a(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -727*x**4\/4 + 395*x**3\/6 - x**2 + x - 971. What is the second derivative of c(d) wrt d?\nAnswer: -4362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = 55*b + 152 + 73 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**2))\/h**(-6))**(-19\/7)\/(((h*h\/(h*h**(2\/11)\/h))\/h)\/((h*h*h**(4\/7))\/h))**(1\/14) assuming h is positive.\nAnswer: h**(-5823\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(((h**(4\/3)*h)\/h)\/h))*h**(-2\/15)*h)\/(h\/(h**(-2\/3)*h*h))**24)\/((h*(h*h*h**(-4\/7))\/h)\/(h**(2\/9)*h))**(-1\/38) assuming h is positive.\nAnswer: h**(110189\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3749 divided by -3742\nAnswer: 3749\/3742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47756773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 39*x - 194 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = -7. Suppose l*x = 5*x + 4. Put x, 4, 0 in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:24 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Let k = -215.29 - -215.3. Is j smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l - 46*l = -60 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 9)*(0 - g + 3 + 2*g).\nAnswer: -10*g - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-202792)\/(-86) + (-18)\/387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2*(sqrt(19) + 5 - sqrt(19)) - ((6*sqrt(114))\/sqrt(6))**2) + (sqrt(475) - (sqrt(475) + 4 + sqrt(475) + -5))**2 + 3.\nAnswer: -195 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9*s - 18 = 0. Let x = 13 + -11. Let o be ((-2)\/(-2))\/(x\/30). What is the greatest common divisor of s and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(19\/2)\/j*j*j)**(-1\/16))**26 assuming j is positive.\nAnswer: j**(-351\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 2*b + 2. Let i be -3 + -2 + (1 - 0). What is j(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 2*x - 10*x + 13*x + 11*x**2 + (2*x**2 + 4*x - 4*x)*(-2*x + 0*x + 3*x) - 2*x**2 + 2*x**2 - x**3)*(-x**2 - x + x).\nAnswer: -2*x**5 - 11*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 343, -1 in descending order.\nAnswer: 343, 9, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5880138800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 11*x - 1. Suppose -8*h - 18 = 62. Let n be i(h). Let w be n*2 - 0\/10. Calculate the greatest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {h: 2, m: 2, e: 1, p: 6, n: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:44 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 77*c**2 - 9 - 51*c**2 + 150*c**2. What is the units digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 9*c**2 + 18. Let j(n) = 15*n + 18. Let b(l) = l + 1. Let u(v) = -18*b(v) + j(v). Calculate u(z(o)).\nAnswer: -54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(10\/((-150)\/5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 739.36 rounded to the nearest ten?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -125 (b) 3 (c) 1.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -121. Is -50 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000722711543 rounded to seven dps?\nAnswer: -0.0000723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 462.26394 minus 1073524?\nAnswer: -1073061.73606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*j - 82*j - 114. Solve 126*c - 123*c = j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 9*l**2 - 3*l - 22. Let y(o) = -2*o + 19. Let a be y(14). Let k be u(a). Solve -20 = k*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**2 + 2912*g - 529984 = 0?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 6 - (19 + -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 56.57. Let j = -16 + 15.97. Let d = j - n. Which is the closest to 0.1? (a) 0 (b) -3\/8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 2*w + 48 = 0. Calculate the least common multiple of (9\/(-6))\/((-4148)\/(-4160) - 1) and w.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/(-34)*(-4)\/3. What is the nearest to 0 in t, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w. Let t(n) be the second derivative of 2\/3*n**3 + 0 + 18*n + 0*n**2. Give -4*f(d) + 5*t(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1669800 to the nearest ten thousand.\nAnswer: 1670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -25501\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 - 3*h**5 - 4*h**5 + (-2*h + h**2 + 2*h)*(1757*h - 115*h**3 - 1757*h).\nAnswer: -119*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from bsqqdpx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 69213.\nAnswer: 69213.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 280.68991 and -0.497211.\nAnswer: 280.192699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i = 2*t - 28, 0 = t + 2*i - 15. Solve 0 = -8*r + t*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4566568817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58418 = -551*f - 7726 for f.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*t**4*x**2 - 3*t**4 + 3*t**2 + t*x**2 - 144*t*x wrt t?\nAnswer: -288*t*x**2 - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, -53, -197, -399?\n\"Answer: -29*o**2 + o + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(10\/(-20))\/(3\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021445890 divided by -282949?\nAnswer: -3610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**4 - 19069*q**2 - 2*q - 455225?\nAnswer: 4*q**3 - 38138*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 2. Let v(l) = -2*l + 3. Suppose -16 = z - 5*z. Let s(k) = -k**3 - 5*k**2 + 4*k + 13. Let w be s(-5). What is w*p(m) + z*v(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 4*q**2 + q**2 + 167*q**3 - 177*q**3 + 4*q + q**2 in the form g*q + r + s*q**2 + o*q**3 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1 - 2 - 4 - n + 2. Give d(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000931151 to six decimal places.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -7*c + 2*c + 2*m, -208 = -2*c - 2*m. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304*r**4*s - 33*r**4 - 9*r**3*s - r**3 - 8*r**2 - 257525*r*s + 2*r wrt r?\nAnswer: 7296*r*s - 792*r - 54*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - (-72)\/(-33)) + (-7 - -9). What is the biggest value in -3\/8, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44088266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2.1. Let m = -0.5 - 0.4. Let u = j + m. Which is smaller: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzbbbzbzzzbz. What is prob of picking 2 z?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47520 divided by 11880\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - g. Let h(c) = 3*c + 2. Let k(y) be the first derivative of y**2\/2 - 21*y + 50. Let l be k(20). Determine l*h(j) - 3*q(j).\nAnswer: 3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7) + (510\/(-63))\/(-5).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5216 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 127 = 2*d, -5*d - 31*k + 28*k + 334 = 0. Suppose 2*s = 3*c - 50, -c + 5*s = 23 - 57. Calculate the remainder when d is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 961874482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1331))*-6.\nAnswer: -66*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303683904 divided by 39744.\nAnswer: -7641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(2\/5)\/g)\/g)\/(g*g**(-3))*((g*g**(1\/2)\/g)\/g)**(-1\/15))\/(g**(-5)*g**7*(g**(1\/4))**31) assuming g is positive.\nAnswer: g**(-499\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2552 and (377\/(-13) - -13)\/(0 + 8\/(-36))?\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/7)*z)**(-7\/3))**(-22)\/((z**0\/z*z*z*z*z*z)**(10\/3)*(z*z**(1\/2))**(-3\/8)) assuming z is positive.\nAnswer: z**(2025\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1129972 to the nearest integer?\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 254 = 7*a - 2*a, -286 = 5*a - 4*d. Let j = 53 + a. Is j bigger than 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/10 - 6*i**2. Let o(g) = -16*g**2 + 11*g. Let h(l) = 3*l**2 - 2*l. Let v(k) = 11*h(k) + 2*o(k). Determine v(y(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166 + 173. Let w = -3 + i. Solve -29 = -5*u - w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -10\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l - 2*l)*(2*l + 0*l - 4*l) + (-2*l + 0 + 0 + 1 - l - 1 + 0*l - 4*l + 2*l + (l - 4*l + 4*l)*(-3 - 1 + 3) + 35*l + 0*l + 7*l)*(2 - 2*l - 2).\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/4 + 7*s**3\/3 + 3*s**2 - 14*s + 57. Let i = -13 + 19. Is x(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f - 39. Let g be c(-13). Let p be g\/(-286)*-1*8\/6. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 4*y**2 - 4*y - 3. Let i be u(-4). Let p be (-2)\/11 + 168\/i. Let k be (1*-1)\/(16\/(-32)). Solve -p - k = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/816144 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -26677884 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -8 (b) 0.4 (c) 0.5 (d) 0.08 (e) -1.62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 3 - 3 + 0*i - i - 2*i**2 + 2*i + (i - 2*i + 3*i)*(-5*i + 10*i - 31*i).\nAnswer: -53*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/7 + 12\/(-42). Let h(j) = g - 4*j - j - j. What is the least common multiple of 2 and h(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211 + -110010121200022?\nAnswer: -110010121020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i**3 + 15*i**2 + 19*i. Let l(k) = -2*k**3 - 3*k**2 - k + 1. What is 6*l(d) + m(d)?\nAnswer: 2*d**3 - 3*d**2 + 13*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-65)\/35 - (-2)\/(-14). Let n be 2*h\/10*1. What is the nearest to -3 in n, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 52. Suppose -4*a = -4*w - c, -3*w = 4*a - 0*w + 7. Suppose q = 4*n + 31, -10 = -2*q - 2*n + 2. Solve -b - a*h - q = 1, 4*b - 3*h - 7 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*x - 3*v, -3*x + 2928 = 24*v + 3048 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*z**2 + 0*z - 14\/3*z**3 - 2*z**5 + 0 + 16\/3*z**4.\nAnswer: -2*z**2*(z - 1)**2*(3*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2859515 is divided by 953134.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9836*b**5*q + 11*b**3*q - 24923055*b*q wrt b.\nAnswer: -196720*b**3*q + 66*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1136 to three decimal places.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 4*h + 4. Let r be c(-4). Let f(a) be the second derivative of 0*a**2 + 2*a - 5\/6*a**3 - 26. Determine f(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y + 4. Let n be j(1). Suppose n*p - 12 = -p. Calculate the smallest common multiple of 20 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 556240738 and 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 2*h - 5*h)*(20*h**3 - 14*h**3 + 18*h**2 - 7*h**3) - 3*h**4 + 6*h**4 - h**4 to f + y*h**4 + d*h + u*h**3 + j*h**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6995 = 679*m + 6053 + 19954 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13a + -3?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -7\/1509142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + 5 + -6 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a factor of 20253631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -9 - (2 + -1)) + (10 + -64 - -27)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**2 - 8. Let r(b) = 4*b**2 - 3. Let n(w) = -3*k(w) + 8*r(w). Let i(f) = 30*f. Calculate n(i(q)).\nAnswer: -900*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, -0.3, -2, -1\/3.\nAnswer: -7, -3, -2, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51539, -51544, -51549, -51554?\nAnswer: -51559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114272292 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -15. Suppose a = -4*g - 2*w - 10, g - 15 = 4*w - w. Suppose 2*r - 7*r + 85 = g. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88, -87, -86, -85, -84?\n\"Answer: r - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -158, -237?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - (36\/9 + -12). Let p = -8 - -4. Let f = p - -4.5. What is the closest to y in 2\/3, f, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66848 + -584318366\/8741. Is y <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - v - v**2)*((5*v + 14 - 14)*(-4 - 4 + 6) + 1 - 1 + 3*v) to the form s + h*v**2 + z*v + l*v**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 483833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539.071 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*o + 39257129 = -7*o, -o = -5. Suppose u + n = -5*l, u - 4*u + 9 = 0. Let z = -1025716 - l. What is z rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 43*i**2 + 6. Let j(r) = 217*r**2 + 31. Determine -11*f(d) + 2*j(d).\nAnswer: -39*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, -0.12, 4, 2.42, 55, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, b: 4, t: 1, e: 2}. Give prob of sequence ww.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -38. Let q = 59 + s. Let x = q + -16. Which is the nearest to x? (a) -4\/3 (b) 1\/3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 15*b. Solve b*z = 4*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w - 1. Let y(v) = -v**2 - 3*v. Determine y(i(d)).\nAnswer: -25*d**2 - 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let r(p) = -p. Let o(u) = -u**3 - 6*u**2. Let f be o(-6). Let i(g) = f*g - 6*g + 3*g. Let q(w) = -5*i(w) + 12*r(w). Calculate d(q(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 2*g)*(g**2 - 7*g**2 - g**2).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*y - 50*i + 54*i, -2*y + 7 = -5*i. Let p = -30 - -27. Sort p, y, 342 in ascending order.\nAnswer: y, p, 342","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 96 + (89 - 64).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + -1.9. Let s = -1.9 + a. Put 0.2, s, -0.3 in descending order.\nAnswer: 0.2, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -7*u + 3*u. Let k = u - 63. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-6)\/(-3)*3. Let j be 3\/x*(-8)\/(-6). What is the nearest to 0 in 0.2, j, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22372 is divided by 2769?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 + 169.23. Let p = 0.23 - k. Which is the nearest to 1? (a) 3 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 393 - 63. Let j = -193 + n. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*79906337.\nAnswer: -39953168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d*(d**(-2\/17)\/d)\/d))**(-3)*d\/d**(1\/15)*d**9)**(-27) assuming d is positive.\nAnswer: d**(-21987\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438266228?\nAnswer: 2, 83, 643, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = 2*u + 219 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9512 divided by 2378.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5 + 1 + 5 - 3 + (1 + 3 - 6)*(-1 + 3 - 4))*(4 - 2 - 4)*(5*b + 3*b - 2*b) to the form p*b + w and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3 - v**2 - 4*v - 7 + 0 - v. Let m be o(-3). Let a be 1*m + 5\/5. Solve i - a = -4*y, -4*y = y - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -8 - (-64 + 48)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**4\/4 + 7*z**3\/3 - 7*z**2\/2 + 1. Let w(f) = f**2 + 4*f - 7. Let i be w(-6). What are the prime factors of k(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124.2 + 53.3. Let l = -178 + i. Sort l, 5, 14 in decreasing order.\nAnswer: 14, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000352190667 to seven decimal places.\nAnswer: -0.0003522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 9*l**2 - 438*l - 1367. Calculate a(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**3\/3 - 4*t**2 + 2*t. Let k be p(-7). Let r(o) = -136*o + 137*o - 5 - 1. Give r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/7 + 138\/7*r - 24\/7*r**4 + 100\/7*r**3 - 176\/7*r**2 + 2\/7*r**5.\nAnswer: 2*(r - 5)*(r - 4)*(r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6666.966ug?\nAnswer: 0.006666966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.579 + -0.079. Let h = -127 - -143. Let j = h - t. What is the smallest value in j, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (9 - (8 + 3 + -12 + 12) - -69)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6143900 to the nearest integer?\nAnswer: 2479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5719 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:06 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/549? (a) 1\/8 (b) -1\/19 (c) 1 (d) 3 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 1) + -11 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24954.1 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 2*r**3 - 2*r)*((-28*r - 41*r - 180*r)*(1 - 2 - 1)*(-4 - 3 + 2) - r + 2*r + 0*r) to p*r**3 + n*r**2 + u*r + y + b*r**4 and give b.\nAnswer: 4978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6383*h + 3. Let x(i) = i. Give x(s(l)).\nAnswer: 6383*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**5 - k**5 + 2*k**5)*(-2 - 2 + 1) + (11 - 6 + 3*k - 4)*(0*k**3 + 0*k**3 + k**4) - 4*k**5 - 4*k**5 + 6*k**5.\nAnswer: -5*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1463586995 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z + 1. Let u(n) = -69*n + 5. Calculate -34*p(a) + 6*u(a).\nAnswer: -6*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and -3.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -267, -271, -277, -285, -295, -307?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341496 is divided by 500.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**9\/7560 + a**5\/60 - a**4\/4 - 6*a**2. Let y(z) be the second derivative of h(z). Differentiate y(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 + 6*s**5 + (2 - 2 + s)*(-35*s**4 + 59*s**4 - 28*s**4 + s) - 3*s**5 + 2*s**5 + 0*s**5.\nAnswer: s**5 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 18 = 2*y. Let q be (-8)\/(-6) + 12\/y. Solve i + 9 = q*v, 2*v = -3*i + 6 - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 9*j**2 - 13*j + 12. Let h be z(-10). Let r = h - 38. Solve p - r*w + 20 = 0, -11 = -2*w - 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*z = -0*r + 16, z = -2*r + 1. Suppose 2*f - 3*f + 24 = 0. Suppose r*w = -2*w + f. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 46*c - 50*c = -21064, 35105 = 5*w + 5*c. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.31 + -0.31. What is the biggest value in -2\/23, w, 0.02, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39019, 39011, 39003, 38995, 38987, 38979?\n\"Answer: -8*k + 39027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -47. Suppose s*t + 36 = 8*b - 6*b, -2*b = -3*t - 26. Let u be t\/10 - 2\/(-6)*7. Sort -3, u, -2\/11, 4\/5.\nAnswer: -3, -2\/11, 4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(6\/16*1). Let o be (-50)\/(-4)*p\/20. Suppose 4*t = 2*t + o. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1782 and -163\/60.\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7446 take away -3.57?\nAnswer: 7449.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*n - 4*m - 36, -2*n + m = -12. What is the second derivative of -2*f + 2*f**4 - 5*f + 5*f**n wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450844*j**2*v**2 - 686*j**2*v - 4*j*v**2 + 3838*v wrt v.\nAnswer: 901688*j**2 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -75 - -8\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*f + 595 = 0, 0*f = -4*f + 20. Suppose -l = -0*q - q. Let j = -6 + q. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135927048\/11 or -12357003?\nAnswer: -135927048\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -413 - 415 + 15*p + 827 to r + x*p and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*c**3 - 22*c**3 + 107*c**3.\nAnswer: 157*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -v + 4*o, 2*v + 3*o + 2 = -0. Suppose -3*k = -4*z + 18, -k - k + 34 = v*z. Suppose c = -2*c + 90. Calculate the highest common divisor of c and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + -0.05. Let m = l - -0.041. Round m to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*f = 3*k - 202, -3 = -f. Suppose 0 = 2*i - 5*t - k, -3*i + 6*t + 133 = 2*t. Let w = 46 + i. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1503 divide 764555467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*b = 5 + 3, 2*w + 2*b - 8 = 0. Suppose -3*p = w*p - 147. Find the common denominator of (-7)\/p - (2 - (-698)\/(-132)) and 97\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(-2*(sqrt(75) + 1*sqrt(75)) + sqrt(75)))**2 + (1*-2*-1*sqrt(75)*3)**2 + 5.\nAnswer: 221405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 1574774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -293 and -23274.25.\nAnswer: -23567.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87.4 + -87. Let y = -58 - -54. Let m(f) = f + 5. Let r be m(-6). Which is the closest to r? (a) y (b) u (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/30)\/(7\/21). Let m = -0.7 - -1. Which is the third smallest value? (a) -4\/7 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 62 (b) 2\/3 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12399 - 12404. Put -0.115, 0.1, n, -3\/7, 0.5 in ascending order.\nAnswer: n, -3\/7, -0.115, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*s + 626*s = 1305*s + 406 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*p**4 + 5819*p**2 - 113828.\nAnswer: -24*p**3 + 11638*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 73 = -26*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 - 4*a**2 - 4*a + 10. Let k be u(4). Let g = 422 - k. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Suppose -23*a = -11*a + 12*a. Let x(f) = -48*f + f + a*f. Give x(r(h)).\nAnswer: 94*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 3. Let d be t(1). Let q be ((-2)\/(-2))\/(d - 6\/(-12)). Solve 1 = -q*n + 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.88 + -0.12. Let l = -10.0000016 - f. Round l to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*g = 2*o + 9, -2*g - 3 = -3*o. Suppose -o*i + 8 = -i. Sort 3, i, 5, -7 in decreasing order.\nAnswer: 5, i, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/19)\/i)\/i)\/(i\/(i**(1\/4)\/i)))**(3\/16) assuming i is positive.\nAnswer: i**(-879\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 greater than -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 2*n - 398 = -26*d, 2*n + 12 = 0. Let v(q) = -q + 2. Let u be v(2). Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -187 - 2 - (5 + -7). Let j = l - -1667\/9. Determine g so that 0*g**2 - 2\/3*g + 4\/9 + j*g**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/508 and -19\/5.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3638598 grams?\nAnswer: 363.8598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4002 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 1 = 2*c + 5*q, -6*c + 4*q - 40 = -11*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, e: 5}. What is prob of sequence qeqq?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18696.\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5015*g - 9291. Let k(c) = -5016*c + 9335. Let j(l) = -4*k(l) - 5*w(l). What is the first derivative of j(d) wrt d?\nAnswer: -5011","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -36. Let f(n) be the first derivative of 68*n**3\/3 - 5*n**2\/2 - 6*n + 67. What is the units digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)\/g*g*g*g\/(g**(-3\/5)\/g)*(g**(-2\/7))**12*(g**(-1\/6)\/(g**(-6)\/g*g))**(1\/18) assuming g is positive.\nAnswer: g**(3133\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = 0. Suppose -3*i + 0*i + 15 = 0, l = 4*o + 3*i - 243. Suppose o + 178 = 5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(15\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*l**2 + 3)*(-2*l + l + 3*l)*(34*l + 37*l - 77*l) + 3*l - l + 75*l**4 - 3 - 81*l**4 in the form s*l**3 + n*l + p + f*l**4 + r*l**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135 or 42?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) + (-366)\/(-8). Let x = r - 30. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + g - 1. Let r(k) = k**2 - 4*k + 2. Determine r(f) + 2*u(f).\nAnswer: -2*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33893650 and 1350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 11*q**2 - 9*q + 13. Let n be d(-10). Suppose 5*f + t - 16 - 13 = 0, 3 = 3*f - n*t. Suppose 0 = f*x, 78 = 5*l - 2*l - 5*x. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 410 (c) -154\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -87*w - 3830. What is k(-44)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-24)\/(-44)) + 1\/2. Let x(r) = 32*r - 17. Let d(p) = -159*p + 84. Let q(b) = 2*d(b) + 11*x(b). Is q(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103a02 (base 15) in base 10?\nAnswer: 771752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1212)\/1111*88\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5556907241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 13, 24, 47, 88, 153?\n\"Answer: t**3 - 3*t**2 + 7*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 55635.7 centuries?\nAnswer: 556357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4504*j - 4550. Determine p(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 plus -22?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:39 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:43 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26838 divided by 1278?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s + 2. Let v(a) = 12*a + 5. Suppose 11*n + 28 = -49. Calculate n*j(t) + 3*v(t).\nAnswer: -6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let j(c) = 2*c**2 + 7*c. Let v be j(-4). What is the second derivative of v*m + 2*m - 4*m - g*m**5 wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7281, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038441577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 9. Let o = 98 - 104. Let w = o + s. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2. Let y(q) = 4*q**2 - 36421. Give y(p(g)).\nAnswer: 144*g**4 - 36421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/304 and -1\/2.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.08 (b) -0.3 (c) -58 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 793, 807, 843, 901, 981, 1083?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2 + z + 1 + 2. Let s be 0*(18\/24)\/((-45)\/(-30)). Give h(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*l - 2*l = -y + 6, -5*y + 4468994*l - 4469018*l - 191 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5363900 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Suppose -p*j = -0*j - 20. Suppose -3*q + j*q + 1 = 0. Let n(z) = 8*z**3 + 2*z**2 - 1. Calculate n(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.73409mg in tonnes?\nAnswer: 0.00000003873409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125\/(-10)*45\/25*10\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/816)\/((-518)\/(-2516)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 1 - 9. Suppose -3 = -2*f + 1. Let p = f - 3. Put o, -3, p in ascending order.\nAnswer: -3, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from yaydayydaydcdya?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -785*z - 7053. Calculate the remainder when (-2)\/9 - 182\/(-9) is divided by n(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6326 divided by -18929.\nAnswer: 6326\/18929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/255 and -11\/85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/91 and 11\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:26 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivvvvizvvjvvzivvvv. Give prob of picking 2 z and 1 i.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 6*v**2 + 12*v - 6. Let z be w(5). Let m = 17 + z. Let q = m + -15. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303 - -303. Let w(i) be the third derivative of -1\/45*i**6 - 7*i**2 + 0*i**5 + 0*i**3 + 2\/315*i**7 + 1\/252*i**8 + x*i**4 + 0 + 0*i. Factor w(m).\nAnswer: 4*m**3*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711775?\nAnswer: 5, 71, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 13*n + 27. Let l be b(9). Let u = -171 - l. Solve 4*o + 57 - 61 = u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/3 - (-8)\/6. Let j = 519 - 1035\/2. What is the third biggest value in 5\/4, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.54 + 0.46. Sort q, 5, 0.2 in increasing order.\nAnswer: 0.2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59620 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4557, 4555, 4553, 4551, 4549, 4547?\n\"Answer: -2*y + 4559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**3*n**4 + 2*h**3*n**2*x + 2*h**3*n*x - 277*h**2*n**2*x + 328*h*n**4*x - 6*h*n**3 - h*n**2 - n**2*x wrt n.\nAnswer: -96*h**3*n + 7872*h*n*x - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -d + 4*d - 5, -2*l = -4*d + 16. Suppose -2*j + 0 = -f + d, -23 = -4*f - 3*j. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35931*b**3 - 19019*b**3 - 7 - 17973*b**3 to the form a + c*b + v*b**2 + y*b**3 and give y.\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/5 - 1850596*z**2\/5 + 155555904*z - 16337074320.\nAnswer: -4*(z - 210)**2*(z + 463069)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1712640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1776 by 74.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 4, q: 5}. Give prob of sequence pqp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -390, -5, -2, 18, 1 in decreasing order.\nAnswer: 18, 1, -2, -5, -16, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2038, 38, 6, 70 in increasing order.\nAnswer: 6, 38, 70, 2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.10026 and -0.2.\nAnswer: -0.09974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/4 - 3129075*p + 62581625\/4.\nAnswer: -5*(p - 5)*(p + 2503265)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssiisiiasia. Give prob of picking 1 s and 2 a.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2885.7 + -2885.2. What is the closest to -28\/15 in -1, -3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((-3)\/72*1) is divided by (3 + -5)*13\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*y + 26 = a + 369*y, -2*y - 34 = -4*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 2, -j + 4 = 2*v. Suppose 5*s = -2*r - 480025, 0*s + 1200015 = -5*r - 3*s. Let d be (50\/v)\/((-2)\/r). Round d to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243844504 - 4690*a**3 - 243844504 + (0 - 3 + 2)*(-2 + 1 - 1)*(2 + 6*a**3 - a**3 - 3*a**3) to the form y*a**3 + z*a**2 + n*a + v and give y.\nAnswer: -4686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/26 (b) 1\/8 (c) -4\/3 (d) -0.228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246483999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 - 11*u**5\/20 - 35*u**4\/12 + 2*u**2 + 622*u. Factor b(n).\nAnswer: n*(n - 35)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 698676796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(6776)*-1)\/(1*sqrt(56)\/sqrt(175))*2 + 2)**2.\nAnswer: 1320*sqrt(7) + 762304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**3 + 2*m**4 - 4*m**3)*(1 - 5 + 3).\nAnswer: -2*m**4 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668132 is divided by 66812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**4 - 4461*w**3 - 4*w - 59706 wrt w?\nAnswer: -4*w**3 - 13383*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1716 and 7524?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 2*v + 170. What are the prime factors of 33\/(v*6\/768)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 83*k - 307. Determine m(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {r: 1, x: 1, k: 4, c: 1, v: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*o = -95*o - 593*o + 84*o - 10440 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12539\/5 - 2508. Let n(k) = -k**2 - 2. Let o be n(0). Which is the closest to -1\/3? (a) 0.1 (b) t (c) -3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273860966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10308 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 69, 0.01, -13, -2\/11, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - -11300?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let v(p) = 2*p**3 + 2*p**2 - 2*p + 3. Let i be v(m). Let a = i - 12. Calculate the greatest common divisor of 44 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose 2*m - 22 = -4*v, -3*m + 19 = -2*v + n*m. Suppose 4*u + 21 = 4*y + u, 0 = -v*u - 9. Solve -6 = 4*o - 2*d, y*o - 4*d = -0*d - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16360, 65756, 148188, 263656, 412160, 593700?\n\"Answer: 16518*x**2 - 158*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1 - 3 - -1) + 21 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42261*z**2 - 83437*z**2 + 41171*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 240, 244, 258, 288, 340?\n\"Answer: n**3 - n**2 + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -13. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 >= 413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:48 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 151291050 and 37808.\nAnswer: 151328858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*m = -7*a - 116, 4*m = -4*a - 208. List the prime factors of (-14048)\/a - 1*2\/(-6).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 3 + 2*s - 3*s**2 - s**3 - 2*s + 0. Let j(h) = 2*h**3 + 4*h**2 + 4*h - 4. Let l(p) = -3*j(p) - 4*m(p). Find k such that l(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auirriwvv. What is prob of sequence ir?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*h**2 + 174*h**3 - 53*h**2 - 1981*h**3.\nAnswer: -1807*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*4.07\nAnswer: 1.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-16)*-5*6\/(-90)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784222 + 392054 + 392168 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440412880.\nAnswer: 2, 5, 17, 43, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + u + 3. Let m be p(0). What is the second derivative of -6*y**2 + 2*y**2 - 5*y + m*y**2 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 9 = 3*c - 0*a, 2*a + 7 = -c. Let l = c - -1. What is the units digit of l\/(0 + 2) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qiq when three letters picked without replacement from {i: 2, k: 1, f: 3, z: 2, q: 6, y: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70.9 - -70.6. Let x = -26 - -24. What is the third smallest value in x, p, 4, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - 5052?\nAnswer: -5145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 4*a - 1, 0 = -p - 175*a + 174*a - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 195 and 15.8?\nAnswer: 3081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l - 8. Let p be r(6). Suppose -4*u - 41 = -f, f - u - p = 2*u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1310296910 and 9620.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.247 + 0.053. Which is the second smallest value? (a) g (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 1\/4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/260 and -49\/520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20092*o**4 + o**2 + 15338 wrt o.\nAnswer: 482208*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290367 and 83853?\nAnswer: 35134407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4863*g = -21865 - 6451 - 10588 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 58\/13, 97.8?\nAnswer: 58\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 5)*6\/12*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l - 1379 = -114*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 231506.\nAnswer: 1\/115753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48614 + 48646. Let r(a) = -12*a + 4. Let u be r(-2). Solve b + u - m = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + (-10)\/(-45) + 43\/9. Suppose n = -149*m + 153*m. Solve m = -42*j + 45*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 4272?\nAnswer: 21360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/(-68))\/((-8)\/96) + 4. Sort -4, j, -6, -46, -14 in decreasing order.\nAnswer: j, -4, -6, -14, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**15*n**(-2\/7))**27 assuming n is positive.\nAnswer: n**(2781\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4 + 45\/10). Let k be (-4)\/(-22) - b\/(-11). Does 15 divide k + 3 + 1 - -56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v**2 - 5952 + 518 - 15*v**2)*(-v**3 + 0*v**3 + 3*v**3).\nAnswer: -2*v**5 - 10868*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**4 - 9*h - 4*h**4 + 4*h**4 wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5\/2 (c) 2\/21 (d) 19952\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 242*c. Let z(b) = -28190*b**2. Calculate z(y(g)).\nAnswer: -1650919160*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 + 470786*t**3 - 1318227*t**2 + 1224076*t - 376640 = 0. Calculate t.\nAnswer: -94160, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2 + -2)*(-10 - -6). Let t(l) be the third derivative of -l**5\/30 + l**3\/3 - l**2. Give t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 14*j**2 - j + 1. Suppose -2*d = d - 3. Let f be w(d). Let h = -4 + f. What is the remainder when 38 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928189.\nAnswer: 53, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m**2 - 2*m + 4. Suppose 5 = 2*z - 1. Let i be o(z). What are the prime factors of ((-115)\/i + -5)*208?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*v**2 - v + 0*v + 6*v**2 + v**2 to n*v + s*v**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h**2 + 7*h**2 + 5*h**2.\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-63)\/6 - -11)\/((-2)\/(-5)))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41846*g**5 - 102230*g**2 wrt g?\nAnswer: -2510760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -16 + 46. Let t(x) be the third derivative of -x**4\/12 - 110*x**2. Give t(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 893421567 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.4 (c) -2\/31 (d) -23 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504.9168 micrometers in millimeters?\nAnswer: 0.5049168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 668875305 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {k: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-850))\/(21\/70).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.75 + -0.07. Let n = p - 1.38. What is the nearest to 0.1 in 1\/5, -4, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7877509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -161)\/3*(-14)\/(-21). Let v = 35 - l. Calculate the lowest common multiple of 18 and 21 + v\/(2\/6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 + 13251*o**2 - 6627*o**2 - 6624*o**2 - 5*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 616\/224 - 3\/4. Let n be 2 - (-1 - (2 - 2)). Let m(i) = 0*i**2 - n + i**2 + 2*i**c - 2*i**2. Calculate m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 - -6.1. What is the closest to y in 0.3, 2\/17, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2762 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/4 of a week?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 13*p = -9. Let j(r) = -10*r**3 - 5*r - 5*r**2 - 2*r**p + 3*r**3 - 1 + 8*r**3. What is j(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104)*1 - (sqrt(104) - 6*(sqrt(104) - (sqrt(104) - -2*sqrt(104)))))\/(-1*sqrt(648)*-2))**2.\nAnswer: 637\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4))**(8\/11)\/(z**1*z\/(z*z**(-3\/4)*z)) assuming z is positive.\nAnswer: z**(-41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2477336.\nAnswer: 2, 309667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-744)\/(-40) - 3\/5. Let s be (-632)\/(-15) + 44\/(-330). Suppose -5*g + s = -3*o, 4*o + 23 = 2*g + g. What is the greatest common divisor of g and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211 + 634 + 48*k**2 - 31*k**2 - 208 - 215.\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19024)\/(-861) + -32 + (-4)\/42 - -17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from scsmqmsmcsss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32490 and 75810.\nAnswer: 227430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2483*v = 2408*v - 675 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + -3 + sqrt(1377) + sqrt(1377))**2*6 + -3 - (4 + sqrt(1377) + (((sqrt(1377) + -1 - sqrt(1377)) + sqrt(1377))*4 + sqrt(1377))**2))*3.\nAnswer: -1863*sqrt(17) + 119892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 + 3*b**2 + b + 2. Let z(u) = 4*u**3 - 4*u**2 - 2. Let q(g) = 5*j(g) + 4*z(g). Let h be q(6). Let k = h - 49. Does 49 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 40*p + 142. Calculate w(43).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 733842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1344.55153 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16148779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -26744*o + 3*o**4 - 17 + 26732*o + 2*o**2 + 40 in the form v + x*o**2 + a*o**3 + f*o + j*o**4 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*y**3 + 6*k*y**2 + 7577*k*y - 2089896*y**4 wrt y?\nAnswer: 6*k - 50157504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (504\/(-15))\/(-6) + -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -59 (b) 16 (c) 1\/6 (d) -0.1 (e) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = -12*b + 719. What is the remainder when b is divided by 42?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3017 and -210 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 - 11*l**3\/36 - 5*l**2\/12 + 91*l. Factor b(m).\nAnswer: -(m + 1)*(6*m + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74784087 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*v - 1 = -2*w, -2*v = 3*w - 8. Let r be ((-1)\/w)\/(-3 - (-577)\/192). Let y = 117 + r. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 6*x - 11 - 7*x + 5*x + 18*x**2. Let r be k(-5). Suppose 5*n - r = -n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1140*f - 1120*f + 3395*f - 1137*f + 164.\nAnswer: -2*f + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 303922665 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (656\/3116)\/((-455)\/10374).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/7 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*10525.\nAnswer: 27365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00175913746 rounded to 6 dps?\nAnswer: -0.001759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 69*l - 70*l = 1730, k + l - 340 = 0. Calculate the remainder when 19661 is divided by k.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-9))\/(8\/(-54)). Determine w so that -3*w**5 + 340*w**2 - x*w**4 - 680*w**2 - 12 + 361*w**2 + 3*w**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -16, -8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 3*w**2 + 3*w**2)*(-10*w + 13*w + 5*w) to h*w**3 + q*w + b*w**2 + g and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 277953, -29 in decreasing order.\nAnswer: 277953, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:02 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 82 + 310980*p - 311000*p + 2*p**2 to the form q + g*p + h*p**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1626852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45257\/1584 + 2611\/144. Let q = 58\/11 + v. What is the common denominator of q and -71\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553 - 49 = 21*s. Let o(x) = -x**3 - 5*x**2 - 4*x - 2. Let v be -6 - ((-4)\/2 - -1). Let u be o(v). Calculate the highest common divisor of s and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487700 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/(a**5\/a*a)*a)*a*a\/a**(-4))\/(a\/a**3)**(-22) assuming a is positive.\nAnswer: a**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -33 + (-9 - (2 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184350.\nAnswer: 2, 3, 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5405, 5391, 5407, 5483, 5649, 5935, 6371?\n\"Answer: 5*h**3 - 15*h**2 - 4*h + 5419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1304 (base 5) to base 10.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 587189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -396 - -398. What is the closest to 2\/7 in -0.2, u, -0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818368 is divided by 189.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*b - 4. Suppose b*l + 5*n - 49 = -0*l, 2*l + 4*n = 32. Let p(u) = 8*u**2 - 2. Calculate the remainder when p(-3) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 - 15*s**2 + 11*s**2 - 1. Let q(x) = 4*x**2 + 3*x + 5. Let w(p) = -5*m(p) - q(p). Find the second derivative of w(a) wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 + -2 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**0)**(-3\/16)*(z\/((z*(z*z*z**1)\/z*z)\/z))\/z*z\/(z*z\/(z*z\/z**(3\/8)*z)*z))**(-10) assuming z is positive.\nAnswer: z**(205\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -116. Let n(p) = -p + p - 43*p**2 - 8*p**v. Let u(i) = 2*i**2. What is n(u(a))?\nAnswer: -204*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29780539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f - f - 4*f)*(-2723*f**3 + 5*f - 5*f + 1879*f**3 + 1424*f**3) to the form t*f**3 + c*f**2 + g*f**4 + q + i*f and give g.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**3 - 2*a**2 - 10*a + 1. Let v be t(-5). Let j = 342 - v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 427391*x\/2 - 213695.\nAnswer: -(x + 1)*(x + 427390)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.818 less than 0.101128?\nAnswer: -0.716872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-14) + -1 + 1 + -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 636916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 + 274. Solve 10*j - 8 = t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, n: 1, l: 1, r: 1, t: 1}. Give prob of sequence ar.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-12))\/((10535\/(-196))\/(-43))*-51\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 + -3.23. Let f = 0.3 + -0.5. Which is the second smallest value? (a) s (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1113 and -1.\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 96?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 + 78 = -2*j. Suppose 0 = -4*h - 20, i - 5*h - 106 = -2*i. What is the greatest common factor of i and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/9636116 and 29\/1900.\nAnswer: 240902900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 214869.8ml in litres?\nAnswer: 214.8698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40006188 divided by -9.\nAnswer: -4445132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 816127256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 14 + -10 + (5 - -10) + -26.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2247*r - 20 - 2246*r + 11 + 6 + 3.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -21*w + 20*w + 3, -1368*k = -1369*k - 5*w - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.658 and 0.1.\nAnswer: 0.0658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -696 by 232.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*j + 20, -4*j = -16*o + 13*o + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j + 18. Let b = -3 - j. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/141 and 95\/94?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millisecond in microseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l + 40. Let n(b) = b + 9. Let j be n(-1). Let y be h(j). Is y less than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1397*n - 25. Let x be h(5). Suppose 0*f = 5*f - 5*d - x, f = 4*d + 1395. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.494 - 0.454. What is the closest to c in -3, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*c**3 - 132*c**3 - 2*c**2 + 253*c - 407*c - 345*c - 56*c**3 wrt c?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*1*-5)\/(sqrt(3) + (sqrt(363)*2 - sqrt(363))).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557852, 557321, 556794, 556271?\nAnswer: 555752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 98, 17, -5, 1 in ascending order.\nAnswer: -5, -2, -1, 1, 17, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:00 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q + 2. Suppose -10*k + 140 = -q*k. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3572 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r + 1. Let n(a) = 8*a + 1. Let k be 1\/(0 - 2\/(-4)). Let u be (4 - 2)\/(k\/33). Suppose 0 = 4*y + u - 5. Calculate y*n(j) + 6*s(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*y**2 + 0 + 1 - 2 as k + z*y + a*y**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 3. Let w(j) = j**3 + 6*j**2 - j - 4. Let c be w(-6). Let s = c - -8. Is k at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/t**(-7))\/t*t**(-3))\/(((t*t**(2\/3))\/t*t)\/t**(-1))*(t**(-2))**20*(t*t**(2\/7))\/t*t\/(t\/(t\/(t**(-1)\/t))) assuming t is positive.\nAnswer: t**(-722\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1831 = 281*z - 1552 - 1675 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 58 = -x, -94 = -4*g + 2*x. Calculate the remainder when (22\/(-6) + 3)\/((-36)\/4266) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -21\/4 (b) -55\/7 (c) 11 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7146\/325 or 22?\nAnswer: 7146\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -32. Solve -m*p**2 + 1497*p**3 - 1500*p**3 + 0*p**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 0*p - 8*p + (0 + 1 + 1)*(3*p - 5*p + p) to b + t*p and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(4\/(-64)*37\/(185\/(-20)))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:26 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0009*-20703.3.\nAnswer: 18.63297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1929*k**2 + 2*k**3 - 1929*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 549 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5 + 135*m**4 - 76098*m**3 - 924216*m**2 - 3710304*m - 4955520 = 0. What is m?\nAnswer: -178, -4, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 168036 divided by -209?\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**3 + 821*a**2 + 136*a + 150. Let x be d(137). What is the second biggest value in x, -1\/7, 73, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -292 + -14*5994\/(-567).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.14. Let i = 0.84 - l. Round i to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 40 = 6*d. Let b = 20 - d. Solve -5*r - b = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2872 - -4.875. Let z = -70.8222 - u. Let t = -72 - z. What is t rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -520 - -3169\/6. Find the common denominator of 31\/9 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 12. Let n(b) = 3*b**2 - 3*b + 17. Let s be 4*1 + -2 + 1. Let m(a) = -a**2 + a - 6. Let q(c) = s*n(c) + 8*m(c). Calculate q(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*h**3 + 3 - 4*h**3)*(-2*h - h + 4*h + (-3 + 4 + 0)*(0*h + 2*h + 0*h) - h - 4*h + 6*h + (2*h + 2*h - 5*h)*(2 - 2 - 3)).\nAnswer: -7*h**4 - 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -388*s - 1170. Let a be p(-3). Suppose 4*z + 20 = 9*z. Suppose -11 - 5 = z*h. Put 5, h, a, -2 in decreasing order.\nAnswer: 5, -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:09 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/2)\/9)\/((-3)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39292 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 4)*(3*m - 2*m - 2*m) + (-3 + 2 + 2)*(-m + m - 2*m))*(196 - 196 - 21*m).\nAnswer: 105*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5899 bigger than -5898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 232?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.583 + -126.583. Let x = q + 121. What is the second smallest value in -1\/24, x, 0.1?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 + 202. Suppose -190 = t + 39. Let p = l + t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-6\/17)\/f*f*f)*f)\/(f**(-5\/4)*f))\/(f**(-4\/25)\/f**(-45)) assuming f is positive.\nAnswer: f**(-73503\/1700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 6*f = -3*s - 21, 4*s = f - 28 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4152.271 kilometers in meters?\nAnswer: 4152271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**7\/195 - 4*v**6\/195 - 11*v**5\/390 - v**4\/78 - 5*v**2\/2 + 11. Let o(u) be the second derivative of c(u). Factor o(s).\nAnswer: -2*s*(s + 1)**2*(7*s + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 291680394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14397156 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5827, 23325, 52481, 93289, 145743, 209837?\n\"Answer: -n**3 + 5835*n**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54376 times -8?\nAnswer: 435008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l - 3*l, -4*c = 2*l - 114. Calculate the least common multiple of c and 8 - (0 - -3) - 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -754, -1052, -1262, -1378, -1394, -1304, -1102?\nAnswer: -782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3974, 13324, 22674, 32024, 41374?\n\"Answer: 9350*z - 5376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/3)\/(w*(w\/w**1)\/w))**(-41)*(w*w**0)**(7\/2)\/(w**(-2\/7)\/(w\/w**4)) assuming w is positive.\nAnswer: w**(2329\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (-1 + sqrt(2))**2*3 + sqrt(8)\/sqrt(4)*-4.\nAnswer: -9*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151241481 less than or equal to 151241482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4837*u + 120574. Determine n(-25).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 5*j + 571. Let r be (j\/(-48))\/(24\/4592). Let x = 609 - r. Calculate the common denominator of x and 79\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*z = 5*z, 2*i + 10 = -2*z. What is the lowest common multiple of 12 - -4*(i + 2) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21625203*m**3 + 1109*m**2 + 50*m + 6 wrt m.\nAnswer: -129751218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**34*x**30 assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 46*c - 3. Let g(n) = -221*n - 204. Calculate g(m) + 5*x(m).\nAnswer: 9*m - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/(v\/(((v\/(v*v\/v**13))\/v)\/v))))\/v*v**10\/v)\/(((v**(-7)*v)\/v*v)\/(v*v**(-7))) assuming v is positive.\nAnswer: v**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1211838, 2423673, 3635508, 4847343, 6059178, 7271013?\nAnswer: 8482848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*r**4\/7 - 22144*r**3\/7 + 4920*r**2\/7.\nAnswer: 2*r**2*(r - 1230)*(9*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461 (base 9) to base 12.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(-13)*(63\/21)\/((-42)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**20\/(a\/(a*a**(2\/9))))\/(a**(2\/41)\/(a\/(a**1*a*a))))**(-29\/2) assuming a is positive.\nAnswer: a**(-97237\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1704 and -67\/15?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) 0.099 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atn when three letters picked without replacement from ntltattlrrrn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666300081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r. Let c be v(2). Let m(p) = 6*p**c - 2*p**2 - 4*p**2 + p**2. Let l(x) = 3 - 3 + 2*x**2. What is l(m(w))?\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -3 - 1) + 3. Suppose 2*q - 2 = t*n - 4, -q - 3 = -3*n. Solve q*s + 21 = 4*d - 3*s, -12 = 4*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*y - 10. Suppose -y*u + 13 = 4*a - 3*a, 0 = 4*u + a - 11. Let s(p) = -p - 2 + 3*p + 4*p - 2*p**2 - u*p. Determine s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(7\/6)*t**(1\/4)*((t**(1\/12)*t)\/t*t*t)\/t**(1\/4))**(-6\/5) assuming t is positive.\nAnswer: t**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 9526168*f**2 - 19052333*f\/2 - 4763083\/2 = 0.\nAnswer: -4763083, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - 577?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -300.3 - -298.3. What is the third smallest value in 2\/215, w, -0.3?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 6 = 3*m. Let k(f) = 435*f - 436*f + 4*f**2 - f**m. Suppose 3*s = -5*i + 28, -2*s + 22 = -0*s + 4*i. Give k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 18 - 3. Suppose -c*n - 2 = -2*z - 3*n, 0 = -z - 4*n - 4. Suppose z*o - 4*o = 0. Is 0 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/(36\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(114)\/(sqrt(162) + 2*sqrt(162)))\/(6*sqrt(108) + sqrt(6)\/(sqrt(2) - -1*sqrt(2))).\nAnswer: 8*sqrt(19)\/1971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/5 - 9\/45. Let j(v) = v**3 + 7*v**2 + 3*v + 1. List the prime factors of j(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451544 (base 14) in base 13?\nAnswer: 64246a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 3. Suppose -5*t = 4*g - 9, 30 + 15 = 5*t - 5*g. Let r(d) = -9*d**2 + 7*d**2 - d - t + 3. Determine -2*o(a) + 3*r(a).\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -517 not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 1104*a**4 + 107836*a**3 + 313480*a**2 - 4464*a - 417952 = 0. Calculate a.\nAnswer: -74, -2, 1, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 49608\/63 - (-6)\/(-14). Round t to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**4 + 8*f**2 - 3*f - 3. Let i(h) = 2*h**4 - 16*h**2 + 5*h + 5. Let l(w) = -3*i(w) - 5*y(w). Find the third derivative of l(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -824408 (base 9) in base 8?\nAnswer: -1672472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l - 47. Is w(-19) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 10:08 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2124\/2696105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 4*(sqrt(704) + -1))**2 + 4*sqrt(704)*-4.\nAnswer: -448*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 1 = -3. Let f = 1 + s. Let y = -310 - -308. Sort 5, f, y.\nAnswer: y, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 1022672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 19, 44, 71, 100?\n\"Answer: t**2 + 20*t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - 15 - (2 + -7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 11. Let j be ((-11)\/y)\/(2\/24). Suppose -2*u - 5*r = -327, -j*u - 249 = -2*r - 963. Calculate the greatest common divisor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*s - 0*s + 2, 2*v - 4*s = -16. Solve -v*l = 38 - 36 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26651, -25999, -24921, -23417, -21487, -19131, -16349?\nAnswer: -13141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7625*y - 61293. Give z(-8).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 156, 316, 476, 636, 796?\n\"Answer: 160*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 - 6*c**2 - c**2 - 4*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 7 - (-3)\/(-1). Solve -8*b**2 + 4*b**2 + b**3 + q*b**3 + 8*b**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040513439?\nAnswer: 3, 7, 59, 839801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 154*h - 17. Determine v(2).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -992 divided by -6?\nAnswer: 496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(110\/(-75)))\/(9\/12). Solve 19*y + d*y = 87 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/54204824 and 69\/189716884.\nAnswer: 379433768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f + 3*f)*(16*f - 9*f + 26*f) - 29*f**2 - 13*f**2 + 0*f**2 - 62*f**2.\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -71.7. Let i = b - -25.7. Let x = i - 18.9. Which is smaller: 6\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0876 (b) -19 (c) 1 (d) -36\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48103923 or 336727455\/7?\nAnswer: 48103923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121.3 - -121. Let z = -1\/17 - 10\/119. Which is the third smallest value? (a) t (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u + 4*g - 2, u - 1 = 4*g. Let a be -3 - (-3 + u) - -17. What is the first derivative of 19*f**2 - a + 17*f**2 - 26*f**2 wrt f?\nAnswer: 20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -738117?\nAnswer: 31\/738117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -5042?\nAnswer: -5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30467183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -558613, -558603, -558623, -558679, -558777, -558923, -559123?\n\"Answer: -j**3 - 9*j**2 + 44*j - 558647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (13 - 6 - -2 - (-5 + 3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3257442, 3257443, 3257462, 3257505, 3257578, 3257687, 3257838?\nAnswer: 3258037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - ((4 - (6 - 2)) + -3)) + -2 + 15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 581363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5191, 53, -6?\nAnswer: 5191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -3*k, 0*u - 3*u = 0. Let n be k\/(-22) - 1350\/(-165). Let t = n - 16. Which is smaller: -9 or t?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 21*l = -378. Let o be -1 + -2 - 18\/(-1). Suppose -o*j + 6*j = -l. Solve 0 = 3*k + j*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o - 6. Let j be (0 - (-15)\/3)\/(-1). Let r be (-1 - (3 + -3))*j. Let n(k) = 4*k - 4. Determine r*q(c) - 7*n(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -131 and 24324.\nAnswer: -3186444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h, 8*p + 30 = 3*p + 2*h. Let a(o) = o**3 + 8*o**2 + 10*o + 10. Does 7 divide a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31390*q - 66 + 2*q**3 + 62820*q - 31430*q.\nAnswer: 2*q**3 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4 + 260*t**3 + 8448*t**2 - 260*t - 8450 = 0?\nAnswer: -65, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -15 + 0 + 3 + 3*k - 1 - 4*k. Let z(f) = f. Give z(b(n)).\nAnswer: -n - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 11}. Give prob of picking 2 f.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**32*(u\/(u\/(u*u*u\/(u**(1\/10)\/u*u)*u)))**(-3\/14) assuming u is positive.\nAnswer: u**(-9077\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 + t**2 + 5*t**2 + (-50 + 50 + 11*t)*(-4 - 195*t + 18*t - 107*t) to the form r*t + c*t**2 + g and give c.\nAnswer: -3122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32387 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*k + 10, 23*k = 21*k + 3*t - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u - 1777 = 1667 - 2665 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 3*r**2 - 3*r - 2. Give a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 209?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 13 = 5*y, -126 + 111 = -y + 5*j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 67*s + 20. Calculate x(1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 + -22.33. Let p = i - -32. Let l = 1455\/469 - 227\/67. Is l bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*28\/40 + (-14)\/35. Let h(t) = t**2 + 2*t - 123. Let b be h(n). Solve 0 = 3*l + b - 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-156))\/((6\/(-14))\/(24\/(-14)))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -30 - (-1 + 2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -48180 greater than or equal to -48181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*p + 555234 = -127*p. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.50757 * 1.1.\nAnswer: -0.558327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2)*(-5 - -289) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.7 - 12. Let u = s + -5.7. Sort u, -1, -4 in descending order.\nAnswer: -1, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-846))\/(271\/(-813))\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h + 4*h, 2*o = -3*h + 32. Let i = 27 - o. Solve 3*k + 0 = w - 14, -i = 2*k - 2*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165995617 or -165995616?\nAnswer: -165995617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 less than 3810.96?\nAnswer: 4021.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4412907262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10468 and -1.01.\nAnswer: 10572.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -11 - 4) + -4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 43*u**6\/4 - 19*u**4\/12 - 7*u**3\/6 + 1169*u**2. What is the second derivative of o(m) wrt m?\nAnswer: 7740*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*v = -0*z + 8, -3*v = 5*z - 46. Let p = -6 + z. Let w = 16 - p. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4516\/21 + -215. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t - 40. Suppose 23*x = 31*x + 104. Let y be j(x). What is the highest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**7\/315 - 2*c**6\/45 + 23*c**5\/90 - 7*c**4\/9 + 4*c**3\/3 - 533*c**2. Factor t(i).\nAnswer: 2*(i - 3)*(i - 2)**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -620, -621, -622, -623?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -489\/2020904 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272565 is divided by 970.\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(891)*4 - 3*(sqrt(891) + 3).\nAnswer: -9 + 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212202 + -2?\nAnswer: 12212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -485, -1135, -2217, -3731?\n\"Answer: -216*j**2 - 2*j - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -61, 498 in descending order.\nAnswer: 498, 192, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 23 = 91. Let u(m) = 3*m + 20. Let z(b) = 5*b + 40. Let v(g) = -7*u(g) + 3*z(g). Let p be v(n). Calculate the highest common factor of p and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/57926 and -63\/7461922?\nAnswer: 82081142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 - 4.46. Let h(p) = 9*p**3 - p**2 - 2*p + 2. Let j be h(1). Put j, -1\/4, l in ascending order.\nAnswer: l, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - 3.59. Round y to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 - 124. Let n be 2\/z - (-123)\/11. Suppose -3*m = -n*m + 88. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7*h = -5*h - 8, -3*l - 4*h + 6 = 0. Suppose 6*v = l*i + 10*v - 146, 2*i + 5*v = 142. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17714545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/153, -328, -3\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/324 and 65636\/(-23790) - (-8)\/(-26).\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145369 is divided by 1439.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1557, -1555, -1553, -1551, -1549, -1547?\n\"Answer: 2*m - 1559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1047 - k**2 - 1047 - 354*k**3 + 2*k**2 + 2092 in the form n*k + d*k**2 + j*k**3 + a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-14)\/4*1680\/(-21315)*-87.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5057 = 3*r + 4*u - 5*u, r + 5*u - 1675 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 13 + 72\/56.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 5. Suppose -13 = -2*y + 2*c - 109, -4*c = 3*y + 158. Let s = 87 + y. Let j = s + -41. Determine q(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/(-28) - 1552\/(-194).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 216846.17\nAnswer: -867384.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, l: 2}. What is prob of sequence lc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + -1)) + 0 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6 = -2*y, 2*y + 2 = f - 0*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9938 is divided by 557?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00058337 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, l: 1}. What is prob of sequence ldy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*h**3 + 11549*a**3*h + 5*a**3 + 13*a**2 - 25687*h**3 wrt a?\nAnswer: -18*h**3 + 69294*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -120 - (-76 + (-51 - -61))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, 0.03, -24, 18, -8?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*h + 2*h - 7, 0 = -5*b + 4*h - 2. Let u = 65 + -68. Let g = 6 + u. What is the highest common factor of g and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 - 8 = 0. What is the units digit of ((-15)\/(-4))\/((-3)\/r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x - s, 2*s = 2*x - 0 - 8. Calculate the smallest common multiple of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153\/7 at most as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 245826403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1258)\/442 + (-10)\/65.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -36*g**2 + 30 + 44\/3*g**3 + 0*g. Find the second derivative of q(z) wrt z.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmmmmdttmtmmttmmtm. Give prob of picking 3 t.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -6. Suppose b*c - 3 = 3*c. Let t = 3 - c. Solve -t*f = 4 - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*f + 88 = 3*f, -3*f - 12 = 0. What is the remainder when 136 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + 3*a**2 - 4*a**2)*(209*a**3 + 361*a**3 - 51*a**3).\nAnswer: 1557*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -2, -9.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 8337385 and 3.\nAnswer: 8337388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b**3 + 6*b**2 - 9*b + 3. Suppose 0*y + 2*y = -3*j + 21, 0 = -4*y + 4*j + 12. Let a be n(y). Does 19 divide 2\/7 - (0 + a\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 15590500 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)\/i*i)\/i**(-2\/21)*(i**(-2\/5)*i)**(-17) assuming i is positive.\nAnswer: i**(-2227\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - 287*n + 116. Let u be s(-42). What is the highest common divisor of 1342 and u?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/3*18*4\/24. Let b be 17201\/(-1) - (4 - k - 10). What is b rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t = 35*t + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -81405 divided by -3015\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*d - 71. Let o = d + 9. Let u = 13 + o. Calculate the lowest common multiple of u and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*l**3*v**2 - c*l**3*v + 82*c*l**3 + 3*c*l**2*v**2 - 36*c*l*v**2 - c*l*v + 3*c*v wrt l?\nAnswer: -6*c*v**2 - 6*c*v + 492*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 1871*o**5\/5 - 1824*o + 411. Differentiate w(b) wrt b.\nAnswer: 7484*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167\/29 at least as big as 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 2*f**2 + 3*f + 6. Let b be c(-3). Is (-19635)\/(-4) + 46\/(-8) + b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*s - 2*r + 3, 0 = -3*s + 4*r - 1. Is s\/(1114\/371 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6230*s**2 + 10358*s**2 - 16590*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53740*r - 3082 - 40260*r**2 + 47*r**3 + 3274 + 11*r**3 - 13*r**3 - 18112 = 0 for r.\nAnswer: -2\/3, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m - 417. Determine j(-29).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 4. Let s be 9\/2 - 1\/(-2). Let g be a(s). Find the third derivative of 4*q**g + 2*q**2 - 3*q**6 - q**2 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/5))\/g)**(-2\/69)\/((g\/g**20)\/(g*g*g*g*g\/g**30*g*g)) assuming g is positive.\nAnswer: g**(-1384\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 237\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2800 in 3, 67, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 3*l + 10. Let r(x) = -2 - x + 2 - x. Let z(k) = -k**3 + k**2 - 7*k. Let y(q) = l*z(q) - 7*r(q). What is the third derivative of y(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 114*b**2 - 8*b + 16. Let s(j) = -38*j**2 + 3*j - 6. Let q(c) = -3*k(c) - 8*s(c). Let l(r) = r**2. Calculate l(q(g)).\nAnswer: 1444*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*u - x, 0 = -142*u + 132*u + 4*x - 46 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, q: 1, r: 3, y: 5, b: 1}. What is prob of picking 1 y, 1 b, and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -3 - 0 - (7 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1913 - -4992. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l**3 + 3. Let r(q) = -276*q**3 + 32. Let v be 52\/16 + 1495\/52. Give v*f(i) - 3*r(i).\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*2*-128. Suppose -2*z + n = -3, -3*z + 2*n = 6*n - 10. Suppose -j = -4*d - z*j + f, -3*j - 19 = -d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvru when four letters picked without replacement from vuvbvburubb?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8257.\nAnswer: 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 233 - 227. Let f(z) = -19*z - 7. Let t(q) = -5*q - 2. What is a*f(w) - 22*t(w)?\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 - 31 = 0. Suppose -l + 3*q = -19, 3*l - h = q - 2*q. Solve 3*r + 4 = -l*j, -3*r - 16 = -7*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, m: 1, o: 1, a: 1}. Give prob of sequence ja.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6)*1*1 + sqrt(6)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 5*o - 34, -5*k + 0*o = -4*o + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1160491\/51 - -22754. Calculate the common denominator of r and 113\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5166*v**2 + 42*v - 6. Let c(d) = -5171*d**2 - 36*d + 5. Let m(n) = 7*c(n) + 6*u(n). Let g(a) = a**2. Give g(m(x)).\nAnswer: 27050401*x**4 + 10402*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/876?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -570? (a) -2\/15 (b) -0.04 (c) -4 (d) -2 (e) 0.067\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 - 22*k**2 + 370*k?\nAnswer: 40*k**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 48*c**3 - 5*c - 108. Let k(m) = 48*m**3 - 4*m - 107. Let j(r) = -4*b(r) + 5*k(r). Differentiate j(h) with respect to h.\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 143?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*k**2 - 5957 + 5957.\nAnswer: -91*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*s**3*t**2 + 11*s*t**3 - s*t - 127*t**3 + 95 wrt s?\nAnswer: -18*s**2*t**2 + 11*t**3 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-339)\/2*4\/(-6). Suppose -v + u = 38. What is the greatest common divisor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 1:12 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 2\/(-2) + 3. Suppose 5*o + 5*w = 95, a*w + 8 + 2 = 0. Calculate the greatest common factor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, m: 1, x: 1, e: 1}. Give prob of sequence xm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 402*d + 805. Let p be h(-2). Solve -12*o + p = -35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by -8538.\nAnswer: 172\/4269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 23. Is n(-10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3\/(-2) + 2). Suppose d*m - 9 = -3. Suppose 54 = -f - g, -63 = -2*f + m*f - 2*g. What is f rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:38 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*x - x = 6, -2*x = -3*j - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bii when three letters picked without replacement from ybmyvybmmmyyivbyyimb?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/3, -13\/246, -34, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65127091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1078303.8 to the nearest 10000.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-9 - -56) + -24 + -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -466211 - 156?\nAnswer: -466367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2 + 24*k + 80. Determine m(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5469*n + 1371*n + 1367*n + 1367*n + 1362*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/15, 8, -19882 in ascending order.\nAnswer: -19882, -14\/15, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.5, -19, 0.214388?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003255677 to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-404586)\/130)\/(-171) + -19 + 0. Let r = -10 - -7. Which is the nearest to 3? (a) l (b) -0.1 (c) r (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3*y**2 - 128397024*j**3 + 92082363*j**2*y**3 - 2*j wrt y?\nAnswer: 4*j**3*y + 276247089*j**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*n**2 - 147*m*p**3 + n*p**3 - p**3 with respect to n.\nAnswer: 4*m*n + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.927945 <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o + 1. Let u = -18 - -13. Calculate the remainder when 62 is divided by l(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, 140, 453, 880, 1415, 2052, 2785, 3608?\nAnswer: 4515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1278318 or 1278349?\nAnswer: 1278349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 24*d**2 - 1. Let i(b) = 12*b**2. What is n(i(r))?\nAnswer: 3456*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7.5, -3, 2\/3, 2.3, -0.5, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 207125.92 to the nearest one hundred.\nAnswer: 207100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1))*o)**37*((o*o\/o**7)\/o)\/o*o\/(o**(-5)\/o))**(-2\/15) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1533231*r**5 + 3*r**4 - 7119987*r?\nAnswer: -30664620*r**3 + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1339261\/59 or -22698?\nAnswer: -22698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*((-9)\/189*3)\/(4\/(-14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 17 - 2 - (23 + -1 + 96 + -88).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + 3*o**3 - 33*o**3.\nAnswer: -23*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13) + -3)*-2 - sqrt(156)\/sqrt(432).\nAnswer: -7*sqrt(13)\/6 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:40 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 0 + 7 + 763*b - 80*b + 12. Let q be u(7). Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5836 > -5835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**5\/2 + 5*q**4\/12 - 2*q + 13. Let b(u) be the first derivative of i(u). What is the third derivative of b(o) wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3872\/13 + 298. What is the third smallest value in -1, k, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298.94 - 302. Let g = -0.06 - c. Let o be (-1)\/(-1 - (-3)\/(-4)). Sort g, -3\/7, o.\nAnswer: -3\/7, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 4*h - 17. Calculate k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 17 = 3. Let w(a) = -a**3 - 10*a**2 + 2. Let k(g) = -g**2 - g. Let m(p) = 6*k(p) - w(p). What is the remainder when m(x) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u + 49*u - 3328. Solve 33*l - u*l + 152 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v**2 + 277*v + 1265. Calculate j(-4).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = h - 3, -28*h - 2*c - 27 = -33*h. Calculate the greatest common factor of h and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(13\/52)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 697996304 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -25*o - 46. Is s(-22) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 411 + -385. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-24)*(-2)\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-1*sqrt(16)) - ((-1 + sqrt(180))**2*2 + sqrt(180)) - ((sqrt(245)*-2 + 0)**2 - ((sqrt(245) - (2 + -1*sqrt(245)))**2 - sqrt(245))).\nAnswer: -358 - 91*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1355*x**3 - 130*x**2 + 2704*x**3 - 57*x - 1354*x**3 + 59*x as b*x**3 + y*x**2 + t + l*x and give y.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61\/330 + -1\/66. Is -3\/2 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 + 3*c + 2. Let m(d) = -d**2 + d + 1. Let r be (-2)\/5 + 91\/65. Determine r*i(z) - 2*m(z).\nAnswer: z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -20*t - 7. Let h be q(-2). Suppose 4*x - 5*l + h = 0, -4*x + l = -x + 11. Let d be (3 + -3)\/(x\/4*-6). Solve -n - 3 + 8 = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137099 by 30.\nAnswer: -137099\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**3 - 5*a**2 + 6*a + 5. Let y be 8\/28 - 174\/21. Let r(q) = 3 + 8*q**2 - 9*q + 7*q**3 - 11 + 4*q**3. Calculate y*x(t) - 5*r(t).\nAnswer: t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 208404.\nAnswer: 1042020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 - 5*o**2 + 2*o. Let n(h) = 2*h**3 + 5*h**2 - h. Give 3*f(c) + 4*n(c).\nAnswer: -c**3 + 5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 2:41 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13713*n + 63858. Calculate d(-5).\nAnswer: -4707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.189001 millilitres?\nAnswer: 0.006189001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -164.274. Let a = z - -0.161. Let q = 0.024 - a. What is q rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/60 + 17*h**5\/60 + 17*h**2. Find the third derivative of k(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3037 in 0, 1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22145 is divided by 2768.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114.37 + 0.63. Let s = -114.99999205 + j. Round s to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/204*3706\/(-436).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1106)\/576 - (1905\/(-3429) - 12\/(-18))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {s: 2, m: 8, q: 3, l: 1, p: 3, v: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -254 (b) 0.09 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36850756 to the power of 1\/2, to the nearest integer?\nAnswer: 6070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/20 - d**4\/3 - 5*d**3\/6 - d**2 + 2*d. List the prime factors of q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10493*q**3 + 4*q**2 - 4*q + 1. Let k be p(1). Let x = -6381 - k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -2\/5, 8\/7, -0.154, -1\/344?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*t - 36 = 0, 2*s - 4 + 1 = -t. Let a be (5\/s)\/(3\/12). Solve 4*g = 2*n - 14, -a*n - 4*g = -7*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Suppose c - b - 7 = 3*b, -3*b = 4*c - 9. Let q(x) = 2*x + x - 1 - c + 6. Let f = -3 + 5. Determine f*q(n) - 4*a(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/7)*(a*a**(10\/3)*a)\/a)\/(a**(2\/33)*a**(-19)))**(-45) assuming a is positive.\nAnswer: a**(-82620\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/30 greater than -7950\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11689, -11346, -11003?\nAnswer: -10660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -29*p + 1. Let h be s(-7). Let c = h - 117. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 41*g + 41. Let v(h) = -82*h - 81. Let u(o) = -5*s(o) - 3*v(o). Differentiate u(j) wrt j.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:02 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 15619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:00 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -64. Suppose -4*o - 67 = -w*f + 88, 3*f + 105 = -2*o. What are the prime factors of (-120)\/o*(-141)\/(-2)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x - 7. Let v be z(6). Suppose j + 0*j + 5 = 5*t, -v = -5*t - 5*j. Solve t*s = -f + 3, 4*f = 2*f + 2*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1095984542 + 45.1.\nAnswer: 1095984587.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 340, 5, 3, 1, -5 in descending order.\nAnswer: 340, 27, 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 <= -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181*a**5 - 175*a**2?\nAnswer: -10860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5080327 is divided by 725760.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5942 = 2*a + 4*v - 41804, a + 3*v = 17937. Calculate the greatest common factor of 99 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.8 - -17.8. Let s be -3 + 2\/(-8)*2*-7. Which is the nearest to s? (a) -4 (b) 16 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132822024 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -11. Let z(y) = -95*y + 2. Let m be z(o). Let r = m + 94. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.347 and 6.\nAnswer: -56.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8056, 20432, 37130, 58150, 83492?\nAnswer: 113156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2424 is divided by 162?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8134.11 - 8036. Let o = -1.89 - s. Let h = o - -99.7. Which is the fourth biggest value? (a) 0.4 (b) h (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 25. Suppose 4*l - s*o + 9 = 0, -4*l + 2*o + 1 = -5. Solve 0 = -0*q - l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 7:51 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26856159361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:43 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 37. Which is the closest to 1? (a) 0.1 (b) g (c) -109 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28313 - 28302. What is the lowest common multiple of q and ((-10)\/(-3))\/(2\/6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from qkkbpbs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -16 + 11 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1360, 2\/9, -76?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180577 - -295036. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -26 in decreasing order.\nAnswer: 1, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -660 and -62.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 2*f**2 + 0*f**2 + f**2 + 4*f**2 - 4*f**2 + f**2 + f - f + (1 - 4 + 2)*(0*f**2 - 5*f**2 + 3*f**2) - 932*f**2 - 1792*f**2 + 1707*f**2.\nAnswer: -1011*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 2*v. Factor -8*w**4 - 2*w + 10*w**3 - 15*w**2 - 2*w**v + 7*w**2 - 22*w**3.\nAnswer: -2*w*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2627.3 * -7.96\nAnswer: 20913.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-262)\/(-4) + 2\/(-4). Suppose -g + 42 = g + 2*r, -5*r + k = 3*g. What is the remainder when 38 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0 (b) -3 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-10) + (-6 - (-596)\/20). Is 23 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950853 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 3\/22 (b) -4 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45974 divided by 1106\nAnswer: 22987\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z - 31 = -4*r - 58*z, -2*z + 10 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 312748800?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 9*h**2 - 7*h - 7. Calculate the least common multiple of d(8) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6*-3*2. Suppose i = 4*i + o. Let h(w) = -13*w - 8. Let v(u) = -17*u - 10. Let j(c) = -4*h(c) + 3*v(c). Give j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 7*s**2 + 11*s - 77. Let z be i(7). Sort -1, -4\/5, z, 2 in descending order.\nAnswer: 2, z, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}