diff --git "a/data/dm_maths/full_data_1/1749_11255.jsonl" "b/data/dm_maths/full_data_1/1749_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1749_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of (3\/(-21)*-3)\/((-372)\/496)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18664 + -16039. What is the highest common divisor of 147 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*q - 4*a - 0*a + a + 20, -2*a = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1503057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5002*d - 1820. Does 16 divide q(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 19*v - 13. Let a(x) = -x**2 - 9*x - 6. Let r = 1274 - 1261. Determine r*a(i) - 6*z(i).\nAnswer: -i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 622 + 3?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1079, -2172, -3281, -4412, -5571, -6764?\n\"Answer: -a**3 - 2*a**2 - 1080*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 4*u**3\/3 + 5*u**2\/2 - 2*u + 37. What is the smallest common multiple of f(2) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*q + 31, -5*t - 2*q = -31 + 2. Solve 0 = t*z - 3 - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.699362 + -3.78?\nAnswer: -309.479362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -472666.\nAnswer: -472666.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:46 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875.557 rounded to the nearest integer?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 61 = -9. Let o(q) = 7*q**2 - 5*q**2 - p*q**2. Let g(n) = -5 - 213*n**2 + 215*n**2 + 4 + 1. Determine o(g(y)).\nAnswer: -48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -392*10.3\nAnswer: -4037.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9655368 to 2 dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {w: 5, d: 8, a: 2}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 34. Let a be k(7). Let j(x) be the second derivative of -x**4\/12 - 3*x**3 + 15*x**2\/2 - x. Is j(a) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9071 divide 1598503971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -21. Suppose 2*m - 2*c + 6 = 4*m, -3*m + v*c + 3 = 0. Solve m*u = -y + 6*u - 22, 3*y + 2*u = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -16\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 296 (b) -1\/3 (c) 1\/11 (d) 7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 3*u**2 - 5*u**2 + 7 - u**3 + 2*u**4 - 8 to the form d + b*u**4 + y*u + w*u**3 + z*u**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -1, -30, -71, -124, -189, -266?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 12. Suppose 3*p - 8 = o. Let n = -1 - -3. Solve n*a = -2*a + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10070, -10065, -10058, -10049, -10038, -10025?\nAnswer: -10010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 + 2*b - 1. Let r(n) = 6*n**3 - 5*n**2 - 11*n + 5. Let u(g) = -11*h(g) - 2*r(g). Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, p: 6, s: 3, w: 3, z: 4}. Give prob of picking 1 w, 2 j, and 1 z.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 0*c**2 - 3025*c + 2 + 8695*c - 2989*c to m + l*c**2 + p*c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -115. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2, l - 3*l + 2*h + 9522 = 0. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00130606876 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 - 13) + (11 + -3 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 370 divided by 74\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 19294048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 234\/8 - 6\/(-8). Let k be 34\/10 - 12\/j. Solve -k*l + 0 = 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -737*c + 19494. Determine o(27).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031247 rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:08 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -434 + 1009. List the prime factors of q.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 5*v + 8. Let s(d) = 2*d - 3. Let q be s(-2). What is u(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 11*t + 46. Let m be s(-9). Let i = m - 109. Solve 4*y - 2*y - 2 = i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*r = -81, 369 - 428 = -z + r. Suppose c = 3*m - 61, -4*m + 4*c + c + 74 = 0. Calculate the smallest common multiple of z and m.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 2*n**2 - 2*n. Let y be t(-3). Let b = 2 - y. Is 58\/8*(23 + b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 715014*h**2 - 42603036660*h + 85208933400.\nAnswer: -3*(h - 2)*(h + 119170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 + 3. Let t(m) = -m**2 + 5*m - 1. Let d be t(6). Let s be n(d). Solve 0*f = 3*f + s, 0 = -4*c - 3*f + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0*r + 9 + 0*r**3 + 0*r**4 - 18*r**2 - 169\/60*r**5. Let d(s) = 2*s. What is d(u(o))?\nAnswer: -338*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7869.3 - -7869. Let h be (0 - -1)*(-3)\/(-8). Which is the smallest value? (a) -1\/2 (b) w (c) h (d) 0.097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4558*r = -4577*r + 912. Calculate the least common multiple of 1440 and r.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22))**(1\/2) assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 + 182 + -34 + 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.264 and -486608427?\nAnswer: 486608424.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25259709.\nAnswer: 3, 673, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 1 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/31 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 633 - 689. Let o be (-10)\/(-8) - 938\/c. What is the highest common divisor of 4 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*t**2 + 378*t**2 - 121*t**2 - 163*t**2.\nAnswer: -62*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -46*w + 25*w + 24*w. Let m(n) = n. Calculate m(z(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 1709.\nAnswer: 5127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7043 by 4.\nAnswer: -7043\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9186 is divided by 125.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 + 1 = 2*b, 10 = -5*l. Let j be b\/(-9) - 10\/45. Suppose 3*z = -j*z. Solve 0 = -5*n + 2*p, 0*n - 4*n + 2*p = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10382338, -20764692, -31147046, -41529400, -51911754, -62294108?\n\"Answer: -10382354*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 8. Suppose 0 = h*f - 9*f + 156. Let b = f - -75. 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 fourth smallest value in 4\/5, -0.1, -0.7, 2\/7, -168?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4*-2*2. Suppose 4*q - 16 = 0, -2*i - q = -8 - 4. Let y be (-207)\/(-63) - i\/14. Calculate the highest common factor of y and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -601 - -622. Solve 4*m - i + 37 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1415500 + 1415500 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 3, a: 4}. What is prob of sequence aafa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7 = -4*o. Suppose o*d - 2*z = 3*d + 6, 0 = -5*d + z + 15. Suppose 3*b - 25 = -d*q, -2*b - 37 = -6*q + q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-90090)\/(-60) + -2 + (-6)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 103*b**5\/10 + b**3\/6 + 369*b**2 - 1266*b. Find the second derivative of g(m) wrt m.\nAnswer: 1236*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/52786008 and 73\/15972?\nAnswer: 580646088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12012 to three decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.3901515 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**1))**(2\/59)*(i*i**(-3\/16))\/(i**(3\/13)*i*i) assuming i is positive.\nAnswer: i**(-295\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308505?\nAnswer: 3, 5, 131, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 646601.5 kilometers to nanometers.\nAnswer: 646601500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 24 + 8 + (78 + 0 - (13 - 15)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-3408)\/(-1065))*704\/(-4972)\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*x - 31658 = -822*x - 539 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/17 (b) 3\/4 (c) 0.1 (d) -15.1 (e) 3 (f) -14076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b1791 (base 12) in base 16?\nAnswer: -25b21d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112.3 - 6.3. What is v rounded to zero decimal places?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/4 - 5*l + 4. Let u(w) be the first derivative of v(w). Let o(x) = -2*x**2. Give u(o(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164777\/140 - 1177. Let z = 729440071\/167503980 - 2\/2791733. Let h = z + a. Calculate the common denominator of -149\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 10) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, v: 2, z: 10}. What is prob of picking 2 z and 1 b?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*t - 15 - 5, 0 = -7*i - 5*t + 151. Let h = 43 - 19. Solve -g + h = i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -22 + 9 + -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0016 (b) 1\/3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 45\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19567771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 130, -1, 1.\nAnswer: -4, -1, 1, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68227666 a multiple of 2081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 6 = -f - 21, 2*z = 2*f + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3186 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = -2. Suppose r + 408 = -s*r. What is r rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {a: 3, e: 3, m: 5, v: 4, t: 1, n: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 16) in base 6?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 101 (c) -0.57 (d) 6\/11 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -24. Let o = -3 - s. Suppose f = -o*q + 3*q, 0 = -4*q. Solve -c - 2 + 0 = f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/8 - d**3\/3 + d**2. What is the smallest common multiple of n(6) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 8, -4*n - 2*c + 910 - 102 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*z + 455*z = -11*g - 171, -z = -3*g - 35 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 47. Let m = 17 + s. Put m, 1\/2, -1\/4 in descending order.\nAnswer: m, 1\/2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179297\/5 + -35859. Factor u*y**2 + 32\/5 - 34\/5*y.\nAnswer: 2*(y - 16)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -10)\/(2\/(-4)). What is the third derivative of f*l**6 + 11*l**2 - 9*l**6 + l - l wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-5) - 94450\/(-250) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/4 - 57*i**2\/4 - 111*i\/2 - 42.\nAnswer: -3*(i + 1)*(i + 4)*(i + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27400 divided by -57?\nAnswer: -27400\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*w - 19507 + 19507.\nAnswer: -529*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1941168 and 95\/2368.\nAnswer: 7764672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iduunuouou. Give prob of picking 1 u and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1196 divided by -598\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (42 - (20 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*q + 100, 4*q - 2*w = -q + 288. Let c be 27\/(-4) + (-14)\/q. Let z be (-2)\/(-5) - 111\/15. Is z < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -283, -550, -805, -1042, -1255, -1438?\n\"Answer: p**3 - 274*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:14 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -f + 16, 17*s - 26*s - 8*s + 20*s + 2*f + 28 = 0 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1506 and -114.\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-5))\/n)**(27\/4)\/(n*n\/n**17*n*n**12\/n) assuming n is positive.\nAnswer: n**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(0 - 3\/12). Put g, 3, 1 in ascending order.\nAnswer: 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*v + (-2 + v + 2)*(6247 + 2301 + 12691 + 8741) to g*v + r and give g.\nAnswer: 29978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 46764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 17 - 5 = 0. What is the tens digit of 2\/n - (-376)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*o - 545*o + 91439 = -204*o for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5201702461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 2*w + 6. What is h(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.94 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 5 - 4 - l**2 - 2. Let t(q) = -q + 1. Let j(n) = -n + 3. Let o be j(5). Let a = -3 - o. Determine a*i(u) - t(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 4*l + 7. Let d be v(8). Let s = -77 - d. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {g: 1, m: 2, t: 2, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + 3*r)*(-2*r + 13*r - 5*r + (r - 6*r + 3*r)*(3 - 4 + 3))*(-6*r + 3*r + r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 4*p - 5. Let j = 2 - -1. Suppose -14 = j*r - r. Calculate the lowest common multiple of 18 and t(r).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 3*w - 4. Let m(l) = 284*l. Give q(m(g)).\nAnswer: -161312*g**2 + 852*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w + 7. Let o(a) = -7*a - 8. Let p = 1 - 6. Let c(n) = p*b(n) - 4*o(n). Let s be -2 + 2 + -1 + -1. Determine c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-52) + (-26290)\/(-143)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 129*z**2 - 106*z**2.\nAnswer: -235*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*m - 34765 = -92526 - 140239. Calculate the greatest common divisor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1865801 plus 481?\nAnswer: 1866282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/17)\/(-167 + 213000\/1275).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/25, -6, 1\/10, -5160?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, v: 4, o: 6, n: 2, d: 3}. What is prob of picking 1 n, 2 v, and 1 d?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 798917 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -201. Let t = -17 + -62. Let d = t - z. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + b + 8, 1 + 3 = -b. Sort -2, 6, s.\nAnswer: -2, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 69*i + 84. List the prime factors of h(26).\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236906 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -949*w - 450. What is the units digit of p(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujrrbuiirbrfiii. Give prob of picking 1 u, 1 j, and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3012 + 3060. Solve 2*a + 48 = o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5014 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5356\/3 or 0?\nAnswer: -5356\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 - 33*d**2 + 54*d**2 - 4*d + d**3.\nAnswer: d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 - 2*s**4 + 3*s**3 + 8*s**2 + 4*s.\nAnswer: -s*(s - 2)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 11ae2?\nAnswer: 11ae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*k**2 - 78*a**3*k + 2*a**2 + 87*k**2 + 2 wrt k.\nAnswer: -2*a**3 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9838 + 9838.2. Suppose 4*a + 6 = 2. What is the third biggest value in t, -0.3, 9, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 307, 533, 849, 1255, 1751, 2337?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 14*u - 24. Determine m(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 - 4*v**2 + 1079*v + 1081. Give d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -851 + 1309. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -19*u - f - 151, 0 = -3*f - 9. Sort 0.5, u, -0.7 in decreasing order.\nAnswer: u, 0.5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 8*g**2 + 8*g + 3. Does 9 divide i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/574548 and 71\/4524?\nAnswer: 574548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, j: 16}. What is prob of picking 3 j and 1 a?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4 + 1 + 5. Let k(w) = -2. Let q(j) = -3*k(j) - 2*l(j). Let s(r) = -r + 5. Give 5*q(f) - 2*s(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a**3\/3 + 25*a**2\/3 - 10*a\/3 = 0. What is a?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ankga. Give prob of sequence nag.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1*(-1)\/2*(-944)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 12, 17 = -3*k - j + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11747*q**2 - 342*q + 1 wrt q?\nAnswer: -23494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 - 5?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-1)*(-140)\/(-10). Suppose -5*c = -c + 5*s - 66, -3*s + 6 = 0. Calculate the highest common factor of j and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16154350 by 6.\nAnswer: 8077175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 3*a + 10, 3*y + 5 = 3*a + a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in 0, -4, 5, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 891.7526 weeks?\nAnswer: 149814.4368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2140\/1070)\/((18\/(-12))\/(42\/(-8)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*f**2 - 1269*f**2 + 22 - 1268*f**2 + 5084*f**2 - 1274*f**2.\nAnswer: 3*f**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (12 - 24 - -41)) + 19.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 77, 84, 89, 92, 93, 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjjjd. What is prob of picking 2 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -19, -3 in decreasing order.\nAnswer: -3, -19, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*g**2 - 13 - 126*g**2 + 45*g**2 in the form k*g**2 + m*g + a and give k.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 5, 2\/5.\nAnswer: -1\/13, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:52 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 u when three letters picked without replacement from {u: 2, j: 1, i: 1, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/6 - (-1)\/(-3). Let y(c) = 2*c + 6. Let o be (-438)\/72 + 4\/48. Let g be 7 - (o + -3 + 20). Let r(w) = w + 5. What is g*r(v) + m*y(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + z = 3, -14 = 4*y - 2*z - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/19? (a) -2226\/11 (b) 2 (c) -0.2 (d) -0.12 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from nlbpbdd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*f + 3*i + 1154, -3*i - 1441 = -5*f. What are the prime factors of f?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 438363 + -245696. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w = 0. Let x be (-1)\/(w - -1) + 5. Suppose 2*j - 5*f = 13, x = 2*j + 3*f - 1. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 2 (b) -1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(363) + -4 + sqrt(363)*-1 + -1 + -1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2863 - 2570 = -118*x + 1227 - 288 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*j**3*q**3 + 1581*j**3 + 12*j*q**4 - q**2 wrt q?\nAnswer: 138*j**3 + 288*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.85 + -185.85. Let s = -1011418 + 1011232.9913. Let o = s - l. What is o rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20406 or -20417?\nAnswer: -20417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6100\/15250)\/(14\/2)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*f + 20, -3*f + 2*u + 19 - 2 = 0. Let y be (-3)\/f - 65\/(-25). Suppose -y*d + 14372981 = -14627019. Round d to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g + 25. Suppose 6*p = -0*p + 24. Let x be d(p). Let b be (4 + -7)\/(-3*x\/4). Solve 0 = f + 3*f - b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*k - 5, 5*k + 2*n = 4*n + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 0.3 (c) 173\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1797.2 + 1797.2. Put -0.1, 1\/973, j, 4, 2\/5 in decreasing order.\nAnswer: 4, 2\/5, 1\/973, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u - 390. Calculate q(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6 = -7*j. Suppose 5*u - 17 = k, 2*k + 1 + j = u. Differentiate -72*r - 21*r**2 + 72*r + u wrt r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3629.\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13*m**2. Let g(t) be the third derivative of -t**5\/30 + 6*t**2. What is g(x(n))?\nAnswer: -338*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 215 = -17. What is the remainder when 63 is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 5. Let u be z(-2). Let p(d) = -4*d + 2. Let r = -1 - -2. Let f(n) = 0 + r - n - 1. Determine u*p(a) - 2*f(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791540.\nAnswer: 2, 5, 19, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:06 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 234?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -163617*q - 2. Let g(t) = -3*t. Calculate g(r(a)).\nAnswer: 490851*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**2 - 9*a**2 + 9*a - 2*a**4 + 19*a**2 - 20*a - 5 in the form n + p*a**4 + j*a**2 + b*a**3 + u*a and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (12\/132)\/(1\/(-2))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4443, 35600, 120167, 284850, 556355, 961388, 1526655?\nAnswer: 2278862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -105*u**3 - u**2 + 331*u + 6. Let i(l) = -24*l**3 + 83*l + 1. What is -2*g(z) + 9*i(z)?\nAnswer: -6*z**3 + 2*z**2 + 85*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 - 4*c**3 + 6*c**3 + 5*c**2.\nAnswer: -6*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a + 5*b, 5*a + 7 + 8 = -5*b. Let m = 14 + -14. Suppose 3*l + 14 = 2*d - 1, m = -l - 5. Solve o + a*o + 3 = d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, p: 4}. Give prob of sequence xpx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44195, 44369, 44543, 44717, 44891?\nAnswer: 45065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644.1 rounded to the nearest ten?\nAnswer: -2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/25)\/((t**(9\/5)\/t)\/t))**41 assuming t is positive.\nAnswer: t**(369\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6)\/(9\/24). Solve 23*u + 73 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2586*f - 755*f - 56651 = -588*f + 28692 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.061878 - -53.985122. Let g = -54 + a. Let y = g + -0.147. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 354968 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/5252 + 5237\/15756. Sort o, -302, -1\/2 in increasing order.\nAnswer: -302, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 3:50 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q*r + 34*q*v - 9*r**4*v**2 - 7*r**4 + 4*v**2 wrt r?\nAnswer: 2*q - 36*r**3*v**2 - 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/11 + 44288*n**2\/11 - 6117390*n\/11.\nAnswer: -2*n*(n - 22005)*(n - 139)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -21, -32, -43, -54?\n\"Answer: -11*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1902 = -9*n - 2*w, 0 = n - 5*w - 375. What is the greatest common divisor of 810 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 7*h + 17. Differentiate -9 + 18 + 5*c**4 - h*c**4 + 18 with respect to c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/(-38)*-1 - 2. Let b be (-424)\/318*6\/8. Are l and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150 - -1122?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 9*i**2 - 9*i - 1. Let b be q(10). Calculate the greatest common factor of b and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1016)\/(-264) - (-2)\/(-11). Let o = -44\/19 - -106\/95. Let d = o - -1. Which is the second smallest value? (a) 1\/4 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 2500 = 91*o. Calculate the lowest common multiple of o and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 12. Suppose 0 = -7*r + b + 7. Let d = 9 - r. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 20*l - 22400 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 1101544.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -28*j**2. Let w = 67 + -17. Let x(i) = 29*i - w*i + 23*i. What is x(o(l))?\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 175. Let u = 208 + i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 13*a**4 - 1)*(3 + 0 - 2)*(-9 + 4*a + 4 - 6*a).\nAnswer: 26*a**5 + 65*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*l - 2080 = 803*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 128.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8555872, 34223491, 77002854, 136893961, 213896812, 308011407?\n\"Answer: 8555872*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 741?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 48*u + 358. Calculate q(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11\/3, -2\/17, -0.0519, -1\/5?\nAnswer: -0.0519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 7*p**5 + 22*p**2 - 6. Find the second derivative of m(b) wrt b.\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*w + w + 7254480 = 18709060. List the prime factors of w.\nAnswer: 2, 5, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -40. Solve 0 = -c - 3*n + 6, 3*c - a = -5*n + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115 or -1741\/15?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 42. Find the second derivative of -2 + 42*t**2 + 3*t + 25*t - k*t wrt t.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*g - 2252 - 2593 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 329?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:23 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-26))\/y)\/(((y*y**(-15\/2)*y*y)\/y)\/y)*(y**(4\/9)\/y)\/(y\/y**33) assuming y is positive.\nAnswer: y**(215\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407427553?\nAnswer: 13, 31340581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79613505.\nAnswer: 3, 5, 1769189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/5, -1.12, -2, -4 in ascending order.\nAnswer: -21\/5, -4, -2, -1.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(0 + (-4)\/(-5172)). Suppose -74 + f = 2*m. What are the prime factors of m?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + sqrt(1539) + -1 + sqrt(1539) - (3*sqrt(19) + sqrt(19) + -4 - (-4 + 1*sqrt(19))).\nAnswer: 2 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -851604 divided by -206\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1491.99615 + 1492. Round p to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 4*t**3\/3 - 3*t + 19. Let u(y) = 5*y**2 - 4. Let r(d) = -4*p(d) + 3*u(d). Let k(i) = -i + 0*i + 9*i + 8*i. What is k(r(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5406*r**3 - 101*r**2 - 41*r + 87*r - 48*r - 827*r**2 - 89*r**2 wrt r.\nAnswer: -32436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16007, -32013, -48017, -64019, -80019?\nAnswer: -96017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 80 = 4*c + 15*q - 30*q, 5 = -c + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = -2*v + 226, 4*o - 5*v = 247. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + 4 - (-1 + 0 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -4\/5 (c) -1\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1861226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.1 (b) -1 (c) 1084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1214 (base 9) to base 7\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p - 0*p. Let a(q) = -q**2 + 5*q + 4. Let b be a(6). What is the units digit of (-1 - -9) + p\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2283 + 4550. What are the prime factors of s?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w**2 + 7*w + 54. Let b be -12*(-15 + 14 + 6\/4). What is the units digit of z(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose -4*v = 5*v - 153. Suppose 8*h + v = 57. Solve 3*d - 3 = k*g + h*d, -g = -d + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:34 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 65274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -71058 divided by -26?\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3859 - -3860. Put 32, 2, i in ascending order.\nAnswer: i, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000451937 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 977.1 - 1164. Let s = -187 - o. Is s != -19.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 875, 3, -2\/5, 1\/7, 25?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {e: 5, i: 2, p: 3, h: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 1. Let s be m(-6). Let z(g) = g**3 + 5*g**2 - 2*g - 6. Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -53. Let r(h) = -2*h - 9. Let q be r(a). Solve -5*w + 4*s = -q, 3*s - 16 = -4*w - 43 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 m when four letters picked without replacement from {m: 2, y: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**28)**(5\/13)\/(((r*r\/((r\/((r**15\/r)\/r))\/r)*r)\/r)\/(r**(2\/41)\/r)) assuming r is positive.\nAnswer: r**(-2762\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 87. Calculate the remainder when 314 is divided by i(-14).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 482*t + 62*t**5 - 4*t**2 + 8*t**5 - 478*t - 1 + 3 - 1 wrt t.\nAnswer: 1400*t**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17456281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/7 + 5526*m**2\/7 - 16652*m\/7 - 22128 = 0. What is m?\nAnswer: -2766, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 84*r - 82. Let v be y(1). Solve -5*j + 15 = -2*j, 28 = 4*w + v*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 - 1 + 3*d**4 - 278*d - 366*d + 139*d - 6*d**4 as p*d**3 + x*d**4 + o*d**2 + g*d + i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 9 + 5. Let h(w) = -669*w**2 - 4 + 336*w**2 - 3*w + 5*w + 334*w**2 - 1. Let n(r) = 3*r**2 + 4*r - 11. Give l*h(i) - 3*n(i).\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 6*j**2 - 8*j + 9. Let s be p(7). Suppose -s*m + 0*m - 16 = -2*l, m + 23 = 4*l. What is the highest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -25, 234536, -5 in ascending order.\nAnswer: -25, -5, 3, 234536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + -4*sqrt(1377) + sqrt(1377) + 5 - (3 + (sqrt(1377) + 1)*6)) + -2)*-1)**2.\nAnswer: 1458*sqrt(17) + 111618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35969004 and 72?\nAnswer: 71938008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 572926*c**4 - 205906 wrt c.\nAnswer: 2291704*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8244 to the nearest 100.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -1\/3*j**4 + 6*j + 4 + 2*j**3 - 4*j**2. Let q(g) = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 8*l - 9. Let j be h(-9). Let u = -7 - -11. Suppose u*n = -j*n + 4. Are n and -2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138*b**3*g**2 + 2*b**3*g + 18*b**2*g - 4*b**2 - b - 37893*g**2 wrt b.\nAnswer: 828*b*g**2 + 12*b*g + 36*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 2*v - 3*v + (v - 3 + 3)*(0 - 1 + 2) - 59*v + 62*v + 206*v + (0*v + v + 0*v)*(2 - 4 + 4).\nAnswer: 214*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3\/7 - 666*t**2\/7 - 189*t - 660\/7 = 0.\nAnswer: -220, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 + 4*i + 5. Let p = 10 - 14. Let o be ((-4)\/6)\/(p\/(-30)). Does 16 divide s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29430034 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - 32\/(-3). Solve -2*y + 0*u = u + 15, -3*y + u = t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 0. Let l(z) = -4*z - 3*z**2 - 5*z**3 - z**2 - 55 + 52. What are the prime factors of l(i)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1964*c**2 - 2*c - 406 wrt c?\nAnswer: -3928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 3 = 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.825 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15676405, -0.08, -5 in ascending order.\nAnswer: -5, -0.08, 15676405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 17. Let n be g(12). Let b(x) be the first derivative of 3*x + 5\/2*x**2 + n. Let u(c) = 4*c + 2. What is -3*b(a) + 4*u(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13072617 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/13)*j)\/(j**0*j))\/(j**(-7)*(j**(-2\/3)*j)\/j)*(j**7\/((j*j**0*j)\/j))\/(j**(-7)*j*j*j*j*(j\/((j\/((j**1\/j)\/j))\/j))\/j) assuming j is positive.\nAnswer: j**(686\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.143451ns?\nAnswer: 0.000000002143451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 + 26 = 25*n - 2*b, -132 = -2*n - 2*b + 7*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-5 - -5) - (10 + 43)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 23 - 9*l + 49 to s + u*l and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22503, 22496, 22493, 22494, 22499, 22508, 22521?\nAnswer: 22538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321145 (base 7) to base 14.\nAnswer: 163cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 4:01 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*b**5*x**2 - b**3 + 27*b**2*x**2 + 2*b*x**2 + 5073*b*x - 2*b wrt b?\nAnswer: 540*b**3*x**2 - 6*b + 54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + i**2 - 2*i + 1. Let y be q(2). Suppose 0*f - 3*f = y. What is the units digit of 4\/5 - f\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-76690)\/(-6) + 80\/(-120) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**2 - 252*t + 246. Determine k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2783732 is divided by 51545?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (885\/70 - 3) + (0 - (-138)\/161).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + 43. Suppose 3*j + 21 = o. Calculate the remainder when j is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -15 + 49. Let q = 33 + 18. Calculate the greatest common divisor of g and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 - 1.3. Let b = -5096.6002 - -5096. Let i = c - b. Round i to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7469 is divided by 437?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o = 66*o - 15851. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**2 - 9*n**2 - n**3)*(0 - n**2 + 0 + (2*n + 3*n - 4*n)*(3*n - 5*n + n)).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9))**(-8\/11)\/((q\/q**(-2\/7))\/q*q)**(-26) assuming q is positive.\nAnswer: q**(23054\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68577269?\nAnswer: 17, 4033957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*y + 334*y = -403*y - 2472 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*h - 56, -67*i - h = -71*i - 31. What is the nearest to 2 in i, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -28*i - 3. Suppose 0 = -7*j - 121 + 37. Let s be -6 + 7\/((-21)\/j). Is 19 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 smaller than -1140\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9*b + 14504 = 9*y - 4*y, -5*b = 0. Calculate the highest common factor of 185 and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:27 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24644 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*l + 44, 8*j + 44 = 4*j - 2*l. Let a(c) = -c - 7. Let p be a(j). Factor -2\/5*u + 2\/5*u**p + 2\/5*u**3 - 2\/5*u**2 + 0.\nAnswer: 2*u*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:44 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 4*y + 98. Let i be p(31). Calculate the common denominator of (0 - 6)*1 - 13150\/i and 13\/5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1185)\/6*(-4 + 756\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**4\/4 + 14*h**3\/3 + 11*h**2 - 10*h + 69. What is the remainder when g(-12) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-98696)\/(-49335) - 2). Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 0*l**2 - 37*l**4 + 2*l**2 - 39*l**4 + 46*l**4 + 15*l**3 to the form t*l**3 + f*l + c + n*l**4 + z*l**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 + 60*s\/11 - 400\/11.\nAnswer: -2*(s - 20)*(s - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -1.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 5*p. Let k(x) = -21*x**2 - 56*x. Let v be (-15 + 0)*(0 + -1*(-4)\/12). What is v*k(h) - 56*o(h)?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, -7, -63, -155, -295, -495?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/180 and 91\/24.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*(6 - 4336\/728). Which is smaller: i or 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j + 30. Let z be a(-2). Suppose -4*n = t + 7, -t - 1 = -4*n - 18. Suppose z*f - 5*u = 2*f - 13, 4*f - t = -3*u. Is -1 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -783*f + 74. Is b(-8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2. Let n = -1570 - -37681\/24. Let z(v) be the third derivative of 0 - n*v**4 + 0*v**3 + 0*v - 4*v**2. Determine s(z(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 540*k**2 + 142\/3*k**4 + 725\/3*k - 250\/3 + 3*k**5 + 778\/3*k**3 = 0.\nAnswer: -5, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v - 9*v + 3*v**3 + 24*v + 1 + 6*v**2 - 6*v**3 + 3*v**4 as d + x*v**2 + g*v**3 + j*v + b*v**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26.314 * -1.83\nAnswer: -48.15462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*u + 3*u - 188, -4*p + 3*u + 376 = 0. What is the remainder when p is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918021781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 21892?\nAnswer: 1\/5473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 8. Let q(j) = -6*j**2 + 5*j + 3. Let t be q(-1). Determine m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**8\/1344 - f**5\/20 - f**4\/6 - 7*f. Let l(r) be the third derivative of u(r). Find the first derivative of l(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 14, -13\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205 - -209.57. Let n = u - -0.43. What is the nearest to -1 in n, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3131, 3123, 3111, 3095, 3075, 3051?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 128*n**3 - n**2 - 14 with respect to n.\nAnswer: 384*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15582143.\nAnswer: 37, 151, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-749 + 1251 + 935 + 2 - 5 + 2 + (1 - 2 - 1)*(0 + 0 + 2) - 2 + 3 - 3)*(-2*b**2 + 0*b**2 + 0*b**2).\nAnswer: -2860*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41497\/45672 - 100\/519. Calculate the common denominator of -59\/2 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:39 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12485*g**5 - 2*g**2 - 1414*g wrt g.\nAnswer: -249700*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*p - 4*w, 3*p - 14 = -12*w + 16*w. Let q(k) = k**2 - 4*k - 3. Determine q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3044 by 3.\nAnswer: -3044\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, -0.15, 2.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s - 408. Let q(i) = -14*i + 80. Let v be q(9). Let j be t(v). Solve 2*k - 2*x = x - 6, 0 = -5*k + 3*x - j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/2 + 150856*k**3 - 15835719*k**2 + 407620456*k + 847214063\/2 = 0. What is k?\nAnswer: -1, 53, 301607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29830 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + w - 6 = 0, 3*x = 4*x + 3*w - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r - 7. Suppose 5*s + 4*c + 35 = 0, 0*s + 5*c + 37 = -4*s. Calculate n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5056224mm?\nAnswer: 0.05056224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w. Let u be s(-1). Let y(q) = q**2 + q. Let c(d) = d**4 + 2*d**2 + 4*d. Let z(k) = u*y(k) - c(k). Find the second derivative of z(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-200)\/14 + 4\/14. Let p be -1 + d\/(-8) - (-350)\/40. Let a = -14 - -23. What is the highest common factor of p and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - o - 36, 0 = -5*t - 4*o + o - 38 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001000001010101011 (base 2) to base 14.\nAnswer: -368cd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - a + 369 = 3*a, 2*j + 2*a = 246. What is the remainder when j is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 2*f - 3. Let i(k) = -k**2 + 1. What is 6*i(x) + r(x)?\nAnswer: -2*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 30*d**2 - 125*d - 2. Let a be r(-25). Let s(h) = 2*h + 30. Let q(p) = -p - 15. Determine a*s(g) - 5*q(g).\nAnswer: g + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p - 3*p + 2*p)*(-2*p + p + 0*p) - p**2 - 2*p**2 + 5*p**2 - 11 to q*p**2 + c + g*p and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/4 - v**3\/3 + 122*v + 10. Let z be h(0). Let t = -80 + z. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(2*p**4 - 5*p**2 + 5*p**2) + (11*p**2 + 57*p - 57*p)*(2*p**2 + 0*p**2 - 4*p**2).\nAnswer: -26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Suppose -25*b + 15*b + 10 = 0. Let p(c) = 3*c + 1. Determine b*p(i) + 5*o(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((5\/(-30))\/(1\/3)). Let l(j) = -81 + 112 + 10*j + p*j. Is l(5) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.77203 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/7, -5\/3, 1, 0.1, -1, 14\/5, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + 33763*x**3 - 61*x**2 - x - 398832.\nAnswer: -12*x**2 + 202578*x - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g + 15 = 18*g + 5. Sort 120, g, -4 in descending order.\nAnswer: 120, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*r**5 - 295*r wrt r?\nAnswer: -2900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1662 + 1012. Let j = a - -665. Let z be (1 - 1)*(-6 - -7). Solve z = n + 4*n - j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 35, -2, -53, -118, -197?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 18, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -5*w**3\/6 - 2*w. Let z(a) = 15*a + 15*a + 18*a - 58*a. Calculate c(z(m)).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.6, -9, 3, 5, -310, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:42 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*h = -24, -5*y - 3*h - 45 = -8*h. Let p = 0.3 + -1.3. Does p = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*v - 8, 25 = 5*v + f - 0*f. Suppose 0 = v*l - 0*l - 108. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1700) + 0 + 2)**2 - (4 + -2*(-1 + sqrt(1700) - sqrt(1700))))*1.\nAnswer: 100*sqrt(17) + 1719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a second in milliseconds?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-8)\/(-12) + -34*3\/(-90)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*j**4 + 66224*j - 66224*j + (j - 3*j + 0*j)*(0*j**2 + j**2 + j**2)*(0*j - 3*j + 2*j).\nAnswer: -57*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.83431 (b) -0.1 (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q = -13*q. Suppose -4*b + 632 = -g - 261, 4*g + 660 = 3*b. Suppose 0 = -q*c - 4*c + b. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87912841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2 + 6 - 6 + 6*y. Let c(b) = 7*b - 2. Suppose j = 3*j - 4*q + 14, -3*q = -4*j - 23. Determine j*c(p) + 6*r(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/63 - 13\/(-3). Find the common denominator of 5*(-6395)\/(-5250) + o\/21 and 19\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -5, 2, -76?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8*(-64)\/896)\/(2\/119)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*(-132)\/176. Let p = -3 + -2. What is the nearest to 2\/5 in p, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70083309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*j + 2. Suppose -2*z = -0*i - 5*i + 64, -2*i + 20 = 2*z. Suppose -3*v + 4*n + i = 0, 0*n - 20 = -j*v - n. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*t**3 - 2303931275*t**2 + 1843145080*t - 368629020.\nAnswer: -5*(t + 18431451)*(5*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1590 (base 13) in base 16?\nAnswer: -c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/6 and (-1)\/(15\/20*4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/203*-18*(-119)\/612?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/99 and 5\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**4 - 3*y**4 - 2*y**3 - 98*y**2 + 94*y**2 + y + y**5 + 2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 547*u - 30267\/2.\nAnswer: (u - 1121)*(u + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 34170*p + 714. Let t(c) = 192*c + 4. Let q(r) = -714*t(r) + 4*z(r). Let s(w) = 11*w. Determine -6*q(y) - 221*s(y).\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4478403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*q**5 - 256*q + 256*q + (-1 - q**2 + 1)*(-q**3 + 0*q**2 + 0*q**2) - q**5 + q**5 - 4*q**5.\nAnswer: -25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1218 and 101\/24.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-143))\/((-291)\/194).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.207573511 + -3.2076. What is n rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400838 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (50\/(-20))\/((-2)\/4). Let g(x) = x**3 - 5*x**2 + 4*x + 2. What is the remainder when 63 is divided by g(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 5717.35546 and 2358.\nAnswer: 8075.35546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 2301.1987.\nAnswer: 920.47948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/566 and 19\/10.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-11) + 8\/44. Let o(q) be the third derivative of 0 + 26*q**2 + 7\/24*q**4 + i*q + 0*q**3 - 3\/20*q**5. Find the second derivative of o(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2460?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -3\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -372 - 575. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(-1\/38))**(-1\/3)*((c*c*c*c*c\/(c*c**(-4))*c)\/(c*c\/c**(-2\/15)))**(-2\/153) assuming c is positive.\nAnswer: c**(-206\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*(-24)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 56*t - 380. What is x(-47)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -364*n**3 - 3270*n**2 + 54*n.\nAnswer: -2*n*(n + 9)*(182*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 658037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 26 - 10. Let i be s - -2 - (9 + -26). Solve 0*o + 5*v - i = 5*o, 0 = 2*v + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -7. Suppose 14 = -h - i. Let r = 46 + h. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.23, -3, 2, -0.222, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -114, -180, -262, -354?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*f + 338*f = -2178. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 5 - 75*c.\nAnswer: -75*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.66387963 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -3\/38 (b) -3 (c) -25\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 10*a - 9. Let h be w(-9). Solve -3 = -h*r + r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 9:33 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 21 + 52 - 17)*(-4*f + f + f)*(-7 - 57 + 13) to b*f**2 + g + w*f and give w.\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 362 + -3239\/9. Let m = 34\/9 - q. Let f = 1 + -2. Which is the closest to -0.1? (a) f (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 30, -1\/4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13528 by -1485.\nAnswer: 13528\/1485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v - 4299 = 35*v - 47*v - 1145 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -84, 627.\nAnswer: -84, -3, 2, 627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150589, -150588, -150587, -150586, -150585, -150584?\nAnswer: -150583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -21*g**2 + 178*g + 672. Calculate t(-9).\nAnswer: -2631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 2 + 2 + 18 - 43 + 19 + 3*y**2 + (4*y + y - 3*y)*(4*y - 2*y + y) as b + v*y**2 + m*y and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8173 (b) -0.2 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230375.9792 + 230534. Let z = r + -147.02. Let q = -11 + z. Round q to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1326717.84 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 4, j: 1, u: 1}. What is prob of sequence gjn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 + 58*h + 47. What is v(11)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 224*v + 273. Let o be u(3). What is the highest common factor of 175 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 36, -1.\nAnswer: -6, -1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/8)\/(1\/8). Let k(x) = 109*x**2 + 3*x - 4. Let b be k(u). Suppose -s - 2950 = -5*f - 0*f, -3*f + b = 3*s. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1) + 5 + -2. What is the nearest to -2\/7 in -0.3, -2\/3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5940185183 + 5940185183 + 24*k**2.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -848528.706 rounded to the nearest one thousand?\nAnswer: -849000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 20*n - 48. Let d be w(-17). Let c = -9 - -13. Let g(j) = j + 2. Let x be g(0). Solve 37 = -d*z - 5*b, c*z - x*b + 1 = -5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 7*b - x - 29, 0 = -5*b + 5*x + 45. Suppose -2*l + 5*l = 9. Suppose 52 = b*a + t - 183, 5*a + l*t = 245. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 982.6488 nanoseconds?\nAnswer: 0.00000001637748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 510 + -461. Let l be (483\/b)\/(((-6)\/(-2))\/3). Are l and -2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1341960 and 25320?\nAnswer: 1341960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/20 + h**4\/2 + 2*h**2 - h. Let u be i(6). Suppose 0 = -u*v - 26973 + 118973. Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40051807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30144)\/168 + 8\/(-14). Is (-4)\/(-18) + 10\/(h\/(-1172966)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1 (b) -1 (c) -3 (d) -136 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:05 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -1313, -2052, -2789, -3524, -4257?\nAnswer: -4988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889*q**3 - 881*q**3 + 2653*q**3 - 885*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -d + 3*d - 28, 3*d - 4*j = 31. Let o = 23 - d. Does 25 divide (o*-1 + 2)*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0897673 to four decimal places.\nAnswer: -0.0898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -17*b - 5. Suppose 2*w = 4*l + 5*w - 11, -9 = -3*l - 3*w. Suppose -3 - l = q. Does 13 divide s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 4716 = -199558. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.5, -3, 0, -10, 4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 13520\/98901 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 186.358347 seconds?\nAnswer: 0.0021569253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iufmfuummgimfiummum. Give prob of sequence mui.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-5)*(12\/4)\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -60424282.6.\nAnswer: -60424277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2\/379, 5, -303\/2 in descending order.\nAnswer: 5, -2\/379, -2\/5, -303\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/16 and 139\/62064.\nAnswer: 62064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-30)\/2)*-55?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/24 + 29*v**3\/6 + 6*v**2. Suppose 0 = 2*z + z - 72. What is the lowest common multiple of z and n(13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100010001111001000011 (base 2) to base 7.\nAnswer: 36234605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 308602.8 microseconds?\nAnswer: 0.000085723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*g + 55. Suppose 3*x = u + 9, 2*u - 2*x - g = -6*x. Suppose 5*v + 462 = m + 42, 5*v + 1300 = u*m. Round m to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 206 = 426. Suppose -68 + h = 6*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-3.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/7)\/n*n*n)\/(n*n\/(n*n**1)*n))**(-1) assuming n is positive.\nAnswer: n**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175.099 + -175. Let g = o - 0.599. Which is the closest to 0.1? (a) g (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(13\/((-520)\/48)) + 91\/(-78).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-283\nAnswer: -28.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - w**2 + (w**2 + 3*w**2 - 2*w**2)*(-12 - 3 + 1).\nAnswer: -29*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.0625 - -32.0075. Let d = 0.035 - 31.035. Let b = i + d. Round b to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3698 and -0.02?\nAnswer: -73.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66.862777 and -1.\nAnswer: -66.862777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 582992, 1165985, 1748978, 2331971, 2914964?\nAnswer: 3497957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -3 - -1 - 4) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16456 plus -40697574?\nAnswer: -40714030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h. Let c(v) = 11 + 3 - 14 - 18*v**2. Determine s(c(l)).\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/360 + t**5\/24 - t**4\/12 + 7*t**3\/6 - 8*t**2. Let v(c) be the first derivative of h(c). Calculate v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59940 and 2080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -741*k + 734*k + 42, -5*w - 2*k + 142 = 0. Solve 17*m = w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 38. Let g(t) = -t**2 - 3*t + 17. Let m be g(f). Let q = m - -112. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8597 * 0.4.\nAnswer: 3438.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 20*x - 19. Suppose -95 = -5*l - 3*t, -5*l + 2*t = -l - 76. Let v be n(l). Suppose 5*j + 0*j - 95 = v. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 1719 (c) 0.1 (d) 3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15.1 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - -11 - 42 - (1 - -17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*k - 4 = 0, -12 = 3*r - k + 4*k. Let w be r\/10 - (-901368)\/45. What is w rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -25*f**2 + 148*f + 11. Let x be s(6). Put 15, x, -12 in increasing order.\nAnswer: -12, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 241, -23, -463, -1079?\n\"Answer: -88*o**2 + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*l - 27*l - 937295. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - -6)*-1 - -64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 48. Suppose -m = -6*l + l. Factor 6*d**3 + 0 + 3*d**4 - 6*d - l + 2.\nAnswer: 3*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 173\/9 - (-4)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 + 10*i + 14. Let f be p(-8). What is the closest to 0 in f, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -4, -1\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 7. Let v = -1.84 + 1.84. Which is the closest to v? (a) 6 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1603134526 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a + 7. Let t(n) = 1. What is -6*t(s) + w(s)?\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.8 or 575335?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/40976 and 11\/195?\nAnswer: 614640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1576? (a) -2 (b) -1\/4 (c) 0.6 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1076 - -1120. Suppose 3*j - 2*u = 8, -3*j = -2*u - u - 6. Suppose i - s - 40 = j*s, 3*s = -15. What is the remainder when t is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6731 - 6010.61. What is s rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (34176\/36)\/((-1 + 2)\/3). Suppose x + 2*u = 6*x - j, 0 = -5*x - u + 2836. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1861939246 and 6834?\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/309 + -629\/3399. Sort -3, 0.3, l, -1\/4 in descending order.\nAnswer: 0.3, l, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7 = -y - 13, -20 = -5*y. Which is the nearest to i? (a) 0.1 (b) 3 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 219.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = -q. Let s = q - 13. Put s, -2, -4 in descending order.\nAnswer: -2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6\/324 - o**5\/135 + o**4\/108 + 2*o**3\/3 - 11. Let t(u) be the third derivative of y(u). Factor t(c).\nAnswer: -2*(c + 1)*(5*c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-13) - 387780\/780. Let c = m + 501. Sort -5, c, -19.\nAnswer: -19, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 7. Let k be (-1)\/l + 1489\/5. Suppose -k = 4*r - 1046. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3442*j + 3*j**2 - 1 + 3433*j - 1 to h + b*j**2 + y*j and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-4\/3))\/k**(-3\/8)*k**(3\/4)*k*k**(3\/2))\/(((k*(k\/k**(-2))\/k*k)\/k)**22\/(k**2\/(k\/(k\/((k**(-2\/7)*k)\/k))))) assuming k is positive.\nAnswer: k**(-9703\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b + 87. Calculate m(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**3 + 4*c**2 - c - 4. Let o be q(2). Let g = o + 83. Is g >= 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31020 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/7160477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.5 - -9. Let r = -4.5 + m. Are 0 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**3 + 2*x**2 - 2*x + 1. Let c be g(1). Suppose -4*p + 5*q = c, 5*p - 3*q - 2 = -q. Solve k**p + 9 - 8 + 1 - 3*k = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96981493 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 0*h - 5*h. Let d(q) = -q**2 + 9*q + 11. Let g be d(5). Let i(c) = 2*c - 31 + g. What is i(p(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-4) - -2 - 8. Let g be -2 - d\/(15\/6). Solve g*f = -2*c + 2*f + 2, -2*c = 4*f - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.3433 nanometers in millimeters?\nAnswer: 0.0006403433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**9*b**(5\/3))\/(b**5*b**8))**(2\/15) assuming b is positive.\nAnswer: b**(-8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*j + 25, -s + 5*s + 20 = 4*j. Suppose -4*i + 16 + j = 0. Suppose 47 + 41 = i*y. Calculate the remainder when y is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p**2 - 29*p + 69. Let d(g) = -3*g**2 - 10*g + 23. Let q(f) = -7*d(f) + 2*w(f). List the prime factors of q(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/3 or 5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 - 2*i + 1. Let v be p(-2). Let d = v - -9. Let z = 98102 - 98095. What is the least common multiple of z and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 913*l + 641. Let d(x) = -39*x**2. Determine i(d(q)).\nAnswer: -35607*q**2 + 641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/36)\/((5 + -50)\/(-135))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -21*r - 88. What is y(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 48. Is 3\/19 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 1\/2*c**2 - 1\/2*c**4 + 0*c - 1 + 0*c**3. What is the second derivative of p(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960202062 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-232)\/(-6) + 7\/21 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1110, -1410, -2240, -3864, -6546?\nAnswer: -10550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 2:31 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 50*k - 51*k - 153, 0 = -l + 4*k + 73. Let z(x) = x**2 - 3*x - 1. Calculate the remainder when l is divided by z(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 7*m = -1, 20*x = 35*m - 38*m - 94 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*g - 9. Let h = 75 - -27. Let y = h - 101. What is the greatest common factor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*v + 5*v**4 - 15*v + v**4 - 2*v**2 + 2*v**2 + (-v**3 - v**3 + 3*v**3)*(-v + 0*v - v) as b*v**3 + t + k*v + w*v**2 + d*v**4 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 94*r + 6381. Determine f(-52).\nAnswer: 1493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0.4 (c) -89393 (d) 78 (e) -1 (f) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -10. What is the third derivative of -14*h**6 + 13*h**2 - 69*h**3 + 31*h**3 + 3 + b*h**3 wrt h?\nAnswer: -1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 15 - (84 + -57)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.9 - -12.1. Let n = -59.13 + d. Is 1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n. Let g(x) = x + 7. Let o be g(n). Solve -c - 4*p - 12 = 0, 4*p - o*p = -4*c + 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:32 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200780022 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(1\/4)*s)*s)\/s)\/s**(-1))**(-25) assuming s is positive.\nAnswer: s**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -56.06 * -4.4\nAnswer: 246.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 2*d**3 + 1 - 6*d + 4*d - 3*d**4 - 4*d**3 to t*d**2 + c*d**4 + f + g*d**3 + z*d and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 108 - 16) + 63 + -15\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlwll. What is prob of sequence wll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266128*x - 1 = 5*p - 266127*x, 5*x - 22 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a3 - -11?\nAnswer: 6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -228*q - 4. Let a be w(-5). Let p be a\/(-44) + 6\/(-33). Let o be 3 + p\/(-9)*-1. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -257.6 and 6.\nAnswer: -251.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 477727243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13342 - -13336. Let z(o) = -8*o - 47. Determine z(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((65\/(-13))\/180)\/((-2)\/6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - ((-8 - -7) + -37)) + 5 + 11.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103653 + 50000?\nAnswer: 153653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-1 - 0)*12\/(-54). Suppose -5*v + 8 = -3*v. Suppose 3*i - w = v. Solve 6 + 0 = -i*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c - 27*c = -32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 3 + 2)*(-1 - 2 + 7 + 2*s**2)*(-4 + 3 + 3) to the form v*s + w*s**2 + t and give t.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 650 or -21?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(11\/6 + 74\/111)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 - -18. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-23 - 1) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 11:05 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 - 78. Let j = l - -12. Solve -3*i - 3*m = -j, -i - 2*m + 15 = -0*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-160)*-2 + 70\/24\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 188 + 253 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 830788 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - 15. Let u = -25 - s. Let g = -15 + 22. Calculate the lowest common multiple of g and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-207)\/75)\/(12\/30). Which is the closest to 4? (a) h (b) -24 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840.8347 millennia to centuries.\nAnswer: 8408.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170386116 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuuu when four letters picked without replacement from {u: 3, w: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74340 and 120?\nAnswer: 148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from cjbbjcjjyuc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(5\/8)))\/m)\/m**(2\/123) assuming m is positive.\nAnswer: m**(-385\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 1. Let w(g) = 4*g + 4 + 4*g + 7*g**2 + 2*g**2 + 7*g. Let d(y) = 5*y**2 + 8*y + 2. Let v(c) = -7*d(c) + 4*w(c). Let h be v(-4). What is b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 979, 3, -5\/4, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 22*q + 24. Let r(v) = 18*v + 22. Let o(k) = 4*n(k) - 5*r(k). Calculate o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 h, and 1 d when four letters picked without replacement from wsziisdhh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h - 3*h + 4*h)*(0 - 1 - 1) - 3*h - 2 + 2)*(-2*h + 4*h - 6*h)*(4 + 3 + 4).\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 10*i + 26. Give m(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*n + 505*b**2 + 16*b - 52*n - 58 wrt b?\nAnswer: -4*b*n + 1010*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.68, 13, -0.1 in ascending order.\nAnswer: -1.68, -0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 28 + (45 - 2) + -10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271226124, 542452251, 813678378, 1084904505, 1356130632?\nAnswer: 1627356759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-18) - (6354\/(-162) - -32).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x\/x**(-7)*x)\/x)\/(x*x**(-2\/7))*(x**(-1\/2))**(-3\/8)*(x**(-2))**(10\/13)*x**(-5)\/x**8 assuming x is positive.\nAnswer: x**(-5919\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m + m**4 + 4419*m**2 - 2104*m**2 - 1898*m**2 in the form j*m + n*m**3 + b*m**2 + k + l*m**4 and give b.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3773732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -828723, -1657458, -2486193?\n\"Answer: -828735*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 37 and 22412\/595 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109.9 - 14.9. Let u = 94.9632 - l. Round u to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 703761 times 0.4\nAnswer: 281504.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6*6\/(-378))\/((-5)\/30). What is the third biggest value in 0.1, c, 96\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 1 - 2*r + 6*r - r. Let f(m) = -1. Let q(t) = 2*f(t) + 2*z(t). Let k(i) = 4*i. Calculate k(q(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5249 at least 448\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:39 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -43525905828?\nAnswer: 43525905828.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:30 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 38\/8261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118500189.\nAnswer: 3, 2309, 17107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**4 - 11*o + 20*o + 16*o**2 - 9*o. Let t(q) = q. What is t(b(y))?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - v**4 + 1 + 0*v**4 - 3*v**4 + 5*v**4 + (3*v**4 - v**4 + 2*v**4)*(0 - 7 + 0) to k*v**3 + x*v**4 + r*v + d + w*v**2 and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2573 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -121*y**7\/15 + 1453*y**3\/3 - 763*y**2 + 2. Find the first derivative of m(x) wrt x.\nAnswer: -6776*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1495 - 3?\nAnswer: -1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(0*j + 0*j - j) + (-j + 2*j + 0*j)*(-24 + 59 + 52) + 2*j - 2*j + j as k*j + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4 - 13137*b**3 + 56996205*b**2 - 81514273003*b + 81457289934 = 0.\nAnswer: 1, 3534, 4801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:33 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, 1, -10.\nAnswer: -10, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2876.81t in kilograms?\nAnswer: 2876810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.860113 millennia to months.\nAnswer: 118321.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54457, 107515, 160567, 213619, 266677, 319747, 372835, 425947?\nAnswer: 479089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3\/4 + 6171*v**2\/2 + 3976224*v + 1527187704 = 0. Calculate v.\nAnswer: -1708, -698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5)*((-15)\/54)\/((-24)\/(-36)). What is the nearest to 1\/4 in y, -1.68, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 + 0.26. Let d be (-10)\/(-3)*15\/225. What is the closest to -0.07 in d, 4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 20*o + 3. Let d be g(20). Suppose -2*r - d*p = -7 - 20, -r - 3*p = -12. What is the remainder when 39 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5 + 1. Let p = 4 + -3. Let a be p\/(-4) + -1 + 685\/20. What is the greatest common divisor of a and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(17\/14 + -1). Suppose 67 = 7*y + 123. Let u = y - r. Let s(x) = -x**3 + 7*x**2 - 6*x - 2. Calculate s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 8*k + 120. What is the units digit of i(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 12*j + 9. Calculate the remainder when u(12) is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(21\/8))*i*i)**47*(i**19\/i)\/i**(17\/4) assuming i is positive.\nAnswer: i**(1849\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 337*x + 246. Give l(-2).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 11*u = 8. Let p be 2\/(-8) + (-50)\/(-8). Solve -u = -x + 3*y, 5*x - 5*y = x - p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-7\/5)*x*x)\/((x*x**(2\/29))\/x))**(35\/3) assuming x is positive.\nAnswer: x**(4396\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c. Let q(s) = 10*s**2 + 3*s. Suppose 5*h - 3*h - 8 = 0. Let k(b) = 9*b**2 + 4*b + 1. Let r(m) = h*q(m) - 3*k(m). Calculate v(r(j)).\nAnswer: -26*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)\/(x*(x*x\/((x\/(x*x*(x*x*x*x*(((x\/x**7*x)\/x)\/x)\/x*x*x*x)\/x*x))\/x*x))\/x))**(11\/6) assuming x is positive.\nAnswer: x**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 11:40 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 2, m: 1, f: 1}. What is prob of picking 1 w and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1904, -1913, -1922?\n\"Answer: -9*m - 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Let v be 1\/x - (-26)\/(-30). Let k = 3443.5 + -3444. What is the second biggest value in k, -0.2, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 + 248. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 + -1) - (35 + -28)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 + -5. Suppose 4*h = 2*r + 8, 2 = h - 0*r + 4*r. What is the third biggest value in 2\/15, h, q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-170)\/8 - (2025\/(-100) + 21). Let w(a) = -a**2 - 21*a + 54. Determine w(p).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1195\/167637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let v be x\/8 + (-6)\/(-8). Let m(h) = h - 9. Let d be m(10). Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.863 and 1168.6.\nAnswer: 2177.1018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9139710 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-12) - (-12)\/8. Let u(t) = 11*t**3 + t**2 - 2*t + 1. What is u(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 11*u**4\/4 - 4*u. Let k(a) = -126*a + 47*a + 44*a + 37*a. Calculate m(k(p)).\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515 divided by -103.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/((9\/(-75))\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-53)\/(-5) - 34\/(-85). Let l(t) = -j*t**3 - 4*t**2 - 1 - 12*t**3 - t + 24*t**3 - 1. What is l(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 190. What is the remainder when 71 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2259, 4615, 7169, 10011, 13231, 16919, 21165?\n\"Answer: 15*a**3 + 9*a**2 + 2224*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2341\/4 - -20923\/36. Calculate the common denominator of r and -91\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 5*x**3 - 5*x**3 + 3*x**4 - 3*x - 4*x**4 to i*x**4 + w*x**3 + u*x**2 + f + o*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -128467786 rounded to the nearest 10000?\nAnswer: -128470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -913d - -1?\nAnswer: -913c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (-6*((sqrt(68)*-1 + sqrt(68) - sqrt(68)) + sqrt(68)) - sqrt(68) - sqrt(68)))\/sqrt(4) + -5*(sqrt(17) + 1)*-3 + -4.\nAnswer: 11 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859608844.\nAnswer: 2, 3, 1823, 43573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 866.5568ng?\nAnswer: 0.0000008665568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y**5 - 1096*y**4 - 32952*y**3 + 83396*y**2 + 84938*y - 30300 = 0. Calculate y.\nAnswer: -25, -1, 2\/7, 3, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284237*m**3*q**3 + 6*m**2*q**3 - m**2*q - 482*m*q**3 - 11*q wrt m.\nAnswer: -1705422*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00507121408 to 6 decimal places.\nAnswer: -0.005071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1237*o**4 + 2*o - 118 with respect to o.\nAnswer: 4948*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Suppose -x = b*q + 29, 0*x = 3*q + 5*x + 37. List the prime factors of 6\/(-3) - (q + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-7))\/(11\/77). Solve -s*j = -3*v - 10, -3*v - 7 = -v - 3*j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**5\/5 - 8*p**4\/5 - 4*p**3\/5 + 8*p**2\/5 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 2 - 37. Suppose 5*i = -y - 50, -y - 30 = m*i - 6*y. What are the prime factors of (55\/i)\/(2\/(-48))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/8 - 2\/8. Suppose -4*s = -3*t - 343, -c*t - 5 = -2*t. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*u + 449 - 2528 = 1538 + 240 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 28*q + 19. Let g be y(0). Let x = -548 - -543. Which is the smallest value? (a) 7 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 1 - 3)*(1 - 1 + 1) + 2 + 2 - 2 + (2 - 5 + 5)*(-5 + 5 + 1) + 0 - 1 - 2)*(4*l - 2*l - l) as h*l + m and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*o + 342 + 13 = -497 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -60. Is 5 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -43, -54, -79, -124, -195, -298?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l + 198 - 1638. Suppose -3 = o - 2*o. Suppose -o*t + 2*f = -0*t - 58, 3*f = -5*t + 103. What is the highest common divisor of l and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -285452 and 8.\nAnswer: -2283616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 greater than -5685\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60151 divided by -13\nAnswer: -4627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(3*f + 4*f + 0*f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uun when three letters picked without replacement from {n: 6, u: 4, s: 3, t: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352) + sqrt(352)*-2 + sqrt(352) + sqrt(352) + sqrt(22) + (sqrt(88)\/(sqrt(16)\/sqrt(4)) - sqrt(22)))\/(2*(sqrt(108)\/sqrt(6))\/sqrt(9)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 571058143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - 30. Let r = j - -44. Suppose 3*m - 3 = 0, 0 = r*v + 5*m - 132 - 25. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33748708613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.6. Let m = s - 0.6. Let k = 164.81 + -164.51. Which is the nearest to m? (a) -0.2 (b) 4\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13503015 divided by -5.\nAnswer: 2700603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*n - 6273*n - 12274*n - 39298*n.\nAnswer: -57481*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (57\/(-42) + 1)*-11 and -19\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 - 2. Let s = -1165.7 - -1165. Which is the biggest value? (a) s (b) 5\/4 (c) 0.5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 1. Let z(j) = -j**2 + 23*j - 19. Let w be z(22). Let k be w + (-4 - -7) + -9. Let c(o) = -6*o**2 - 3. Determine k*d(t) + c(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 21928*p. Let j(m) = -m. Determine b(j(u)).\nAnswer: -21928*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 2 + 8*z + 22*z + z + 3*z**2 as j + k*z**2 + n*z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-68)\/8)\/(58\/20 + -3). Let o be (-2)\/(-10)*l\/68. What is the second smallest value in 2\/9, o, 3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16369\/12 - -1362. Let o be -1 - 0 - 43915\/(-25). Let f = -140713\/80 + o. What is the common denominator of f and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 132659, 0 in decreasing order.\nAnswer: 132659, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.9294 and 25915778?\nAnswer: 25915779.9294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*q**2 + 247*q**2 + 2*q**3 - 121*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00165096863 to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2*(-66)\/(-44). Let i be (1 - -2) + (-9)\/r + 0. Put 6, 2, i, -0.5 in descending order.\nAnswer: 6, 2, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 345 = -105. Let g be 1\/((0 + 1)\/a). Suppose -3*y + g = 2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121020 (base 3) to base 5.\nAnswer: 14132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.1 (b) -0.3 (c) -10 (d) 7\/17 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -650*i + 644*i + 90. Calculate the remainder when i is divided by 8 - (-1 - (-1 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247389992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -115*m + 101*m. Suppose -m*s + 20*s + 5607 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose -5*a - 2*q - 8 = -6*a, s*a - 16 = -4*q. Suppose -2*f + 24 = a. What is the lowest common multiple of f and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1107854 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (0 - 364*-1). Let i be 3 - ((-2)\/5 + k\/(-80)). Solve 5*r - i = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004735 to six decimal places.\nAnswer: 0.000474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-4)*436\/36 and -81\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - s = 0, -g - 4*s + s + 16 = 0. Let c = 57 + -33. What is the smallest common multiple of g and (25\/(-15))\/((-2)\/c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -180 - 33*r**2 + 149\/3*r**3 + 0*r. What is the second derivative of c(b) wrt b?\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(3\/4)*j))**(-38)\/((j**(-5\/7)\/j)\/(j**0\/j)))**(24\/7) assuming j is positive.\nAnswer: j**(4908\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/393, 2\/3, -4, 1?\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52498 (base 16) in base 14?\nAnswer: 8ab8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 224 = 4*f, 0 = 4*q + 2*f + 204 + 124. Let x = q + 66. What is the third biggest value in -1\/3, -2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 19*m - 14. Let l(t) = -2*t**2 + 42*t - 28. Let r(g) = -3*l(g) + 7*s(g). Calculate r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {f: 4, b: 2, x: 1, a: 1, y: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/170 + 5109\/(-195)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/4)*m)\/m*m**(-2\/13))\/(m**(-2\/67)*m**(-19)) assuming m is positive.\nAnswer: m**(68377\/3484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/657 and 62\/1431?\nAnswer: 104463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 17*w + 9. Suppose 2*t + 3*r = 4*t + 11, 3*r = -3*t + 21. Let h be t\/3 + 26\/(-3). Let f be s(h). What is f rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/(-84)*260)\/((-1)\/35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 - -3)*(-6)\/7. Let j be (-8)\/12*l\/4. Solve j*z + 5 + 1 = -4*q, 4*z + 8 = -3*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 4 - 5 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58425494 rounded to three dps?\nAnswer: 0.584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3928 + 143 - 1920 - 237 - 4179)*(-x + x - 2*x).\nAnswer: 20242*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.1 - -5. Let r = -275.071 - -274.97099968. Let h = d - r. What is h rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:08 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (22 - 3) - -15) + -2 + -29?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 0 - (6 + -4). Which is the second smallest value? (a) 9 (b) s (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 455*j**2\/2 - 56*j - 180. Let b(k) = 24*k - 3. What is 56*b(f) - 3*c(f)?\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1 + -11.7. Let n = 3.6 + d. Let s = -0.9 - 3.1. Which is the closest to 0.1? (a) s (b) -2\/13 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/8*(65968\/(-651))\/(-152)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762262 is divided by 2344.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3325 and 39\/1905500.\nAnswer: 253431500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 + 2*l - 1. Let m(t) = -7*t**2 - 2*t + 1. Let q be (1\/(-2))\/(2\/4). Let k = q - 4. Calculate k*z(o) - 6*m(o).\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16874 + 16875.59948. Let t = g + -1.6. Round t to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -x - 5, -3*n + 7*n - 3*x - 15 = 0. Let w be 1 - 28\/(n - 2). What is the units digit of 2\/10 - (-72)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/(((-725)\/29)\/(-25))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 3*n - 3. Let m be r(-2). Sort -1, m, 0 in decreasing order.\nAnswer: 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*sqrt(720)*3 + 3 + -1 + sqrt(720) - (-4*(-2 + sqrt(720) + -2) + -5))**2.\nAnswer: -360405 - 10800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**11*b*b**3)\/((b\/(b\/((b\/b**2*b)\/b)))\/(b*b\/((b\/(b\/(b*b*b*b**(-27)*b)))\/b*b))) assuming b is positive.\nAnswer: b**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20813, 41623, 62433, 83243, 104053?\nAnswer: 124863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345.7966205 less than 1.22?\nAnswer: -344.5766205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241 less than 312901?\nAnswer: 308660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(-139)\/4*2\/(-3)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/11)\/k*k**(-10))**(7\/5))**(-1\/43))**(-10\/11) assuming k is positive.\nAnswer: k**(-1722\/5203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2595848 and 13132.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 10*z**2 + 4*z - 10. Let q be (-74)\/(-8) + (-15)\/(-20). What are the prime factors of b(q)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/8694 and 59\/66654.\nAnswer: 199962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 12:59 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/(-24)*(-4)\/206 and (-1305)\/198 - (2 + -2 + -2).\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -128006 - 5?\nAnswer: -12800b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15828310 is divided by 168386.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2081 = -919. What is v rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {s: 1, f: 3, r: 1, e: 2, x: 1, i: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 58373?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 4. Let x(u) = u**3 + 8*u**2 - u - 1. Let j be x(-8). Let s be w(j). Suppose s + 19 = r. Calculate the lowest common multiple of 4 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m. Let g(q) = 488*q - 4737. What is g(k(c))?\nAnswer: -2440*c - 4737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 5\/24*i**4 + 0 + 0*i - 4\/3*i**3 - 4*i**2 + 1\/60*i**5. What are the prime factors of l(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 5. Let n be v(0). Let j = 8 - n. Suppose -70 = -3*y + 4*b, y - 6*y - j*b = -107. Calculate the highest common divisor of y and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 1)*8\/(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111101000000011 (base 2) to base 6.\nAnswer: -1212151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 7*n + 5. Let w = -16 - -12. Let i be u(w). Solve -4*d + i = -9*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 323892.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2160 and 2592?\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 228 = b, 3*x + 3*b + 58 = 184. Let c(l) = -l**3 + 29*l**2 - 25*l + 48. Calculate the remainder when c(28) is divided by x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 24*d**2 + 25*d + 14. Let u be n(25). Calculate the highest common divisor of 448 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33 - 0.73. Let y = -10 - -9. Let f = y + 1.3. What is the nearest to -0.2 in p, f, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*s - 185*s = 4*x - 47, 4*x = 12 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 29*l**2 - 6. Let o(b) be the first derivative of -29*b**3\/3 + 5*b + 1014. Determine 6*o(m) + 5*r(m).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -1 - 2\/3*k**3 + 0*k**2 + 0*k. Let f(n) = 4*n**2. Give p(f(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1069415*-5\nAnswer: 5347075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**2 + 3*t + 51*t**2 - 5*t - 1. List the prime factors of u(2).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/20 + m**3\/6 - 15*m**2 + 19. Let g(p) = 4*p - 13. Give w(g(t)).\nAnswer: -48*t**2 + 312*t - 506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.715 + 0.231. Let a = s + -0.036. Round a to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*l)*(-l - 3 + 1 + 1) + 4*l**2 - l**2 + 5*l**2 + (2 + 2*l - 2)*(0*l - 6*l + 14*l).\nAnswer: 20*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*3\/9)\/((-14)\/(84\/138))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4\/17 - 24*c**3\/17 - 28*c**2\/17 + 24*c\/17 + 26\/17 = 0. Calculate c.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103053 is divided by 386.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*p + 407*p = -5*m + 62014, 0 = 4*p + 3*m - 62002. Does 284 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*f**2 - 4*f**2 - 7*f**2 + (2*f + 0*f - 3*f)*(-2*f + 3*f + 0*f).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.119? (a) 104 (b) -2\/5 (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 70*p**4 - 230*p**3 + 220*p**2 + 875*p + 490 = 0. What is p?\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -2 - ((-8 - -18 - -8) + -11)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42\/5 - 321\/40. Which is the nearest to 0.2? (a) 4 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/6))**(8\/9)*((b\/(b**0\/b))\/b)**(23\/6))**(-3\/2) assuming b is positive.\nAnswer: b**(-247\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -35802 divided by -1?\nAnswer: 35802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 10. Let y be g(-5). Which is smaller: y or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133419353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1021 + 51?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 + 171.999923. What is a rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -64.376. Let c = l - -0.249. Let j = -0.11 - c. Round j to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - (-20)\/3. Let d(a) = 4 + 2 - a**3 + 6437*a + 2*a**3 + a**3 - 6430*a - 7*a**2 - a**3. Calculate d(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 65437*d - 8310527. Determine s(127).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, f: 1, r: 1, v: 1, n: 2}. Give prob of picking 1 e, 1 n, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 227*y\/3 + 150.\nAnswer: (y - 225)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -29.8. Let r = -147.2 + w. Let k = -155.99999685 - r. Round k to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77580 is divided by 125.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5361 + 23*g + 5371 + 110*g**2 - 8*g wrt g?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33285013243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 rounded to the nearest 10?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*w - y - 3, -w + 3*w - 2*y = 4*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(567)*1 + 4)*-2 - (-1 + (3*sqrt(7) - sqrt(7)) + sqrt(7) + -6*(sqrt(7)*-4 + sqrt(7) - sqrt(7))))**2.\nAnswer: 630*sqrt(7) + 14224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 231.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-2)\/4) + 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3616535319 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f = 461*f + 3807 - 2240 - 11867 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - 14\/(4\/2). Suppose -w - w + 2200006 = a, 2*w - 6 = p. What is a rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*y + 10. Let u = 0 - y. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 1711*z**6\/60 + z**5\/12 - 118*z**3\/3 + 726*z**2 - z. Find the third derivative of l(v) wrt v.\nAnswer: 20532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8985909 divided by -15?\nAnswer: 2995303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 - 2*v - 115 + 281 to the form d + a*v and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by (-3)\/(-15) - (-24)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.465 - 0.075. Let a = p + -5.19. What is a rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8866391707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-6))\/(12681\/27 - -3). Are v and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 45. Suppose 4*d = -3*n + 951, -3*d + h*d + 5*n - 961 = 0. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*((-276)\/966)\/((-4)\/(-728)*-2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 29*r**4\/4 - 8*r**3\/3 - 56. Let a(g) = 19*g**3 - 5*g**2. What is 8*a(h) - 5*v(h)?\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 72. Do 90\/19 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 74910\/27 + (168\/54)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 2, e: 1, d: 1, f: 1, h: 2}. What is prob of sequence vfe?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:16 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 2, y: 5, u: 1, v: 1, q: 1, i: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*z**2 + 8*z**3 - 5249 + 5251 - 6*z**3 as j*z**3 + g*z**2 + o*z + r and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -32*t**2 - 899*t + 64. Let m be f(-28). Is 139 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*b - 18 - 73 + 17*b)*(58 - 58 - 9*b).\nAnswer: -18*b**2 + 819*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1623*h*x**2 - 340*h + 921*x**2 + 30701 wrt x?\nAnswer: 3246*h*x + 1842*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -237.8 - 0.3\nAnswer: -238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2. Let j(p) = -2*p**2 - 685*p - 1. What is j(n(y))?\nAnswer: -18*y**4 + 2055*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 8:03 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qygmmafyyyyayqqmqga. What is prob of picking 1 a and 1 q?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - -76) + (3\/(-6) - 8665\/910)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 40*v + 30. What is u(19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11757, -23515, -35287, -47079, -58897, -70747?\n\"Answer: -t**3 - t**2 - 11748*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*3\/45 - (-3564)\/180. Solve -3*d + h - 14 = 0, -3*d = -2*h + g - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (894 + -888)*(-11)\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*y = -454, 3*y - 2*y = 4*i - 1873. Let q(w) = 6*w - 25. Let m be q(5). Suppose -3*o + 3*t = -507, 376 = m*o - 4*t - i. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -310*m**4 - 6*m + 16*m**2 - 12 + 6*m**3 + 3 + 307*m**4 - 4*m**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 16*t**2 + 1705*t - 988. Determine a(-106).\nAnswer: -1942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7725 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 0 = 5*u + w, -u - 9 = -3*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55364 (base 9) in base 6?\nAnswer: -442051","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1051*y + 8429. Let h(b) = b**3 + 9*b**2 + 3*b - 2. Calculate the remainder when h(-5) is divided by r(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/175, -0.5, 1.3, 5, 0.06 in increasing order.\nAnswer: -0.5, -2\/175, 0.06, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9842? (a) 2\/7 (b) 4 (c) -4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(1740\/(-750))*-2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t*t\/(t**(-18)*t))*t)*t**1*t assuming t is positive.\nAnswer: t**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -51.99. Let n = 1.03 + r. What is n rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 428552.\nAnswer: 5\/428552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -12*k - 5. Let u be o(-2). Suppose -384 = -4*f + 660. Let g = -109 + f. Calculate the highest common divisor of g and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/(5 + 117\/(-26))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7083, -14168, -21253, -28338, -35423?\n\"Answer: -7085*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-4))\/(3\/36 + 34\/((-7344)\/234)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 5210.\nAnswer: 57310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111.29*-170\nAnswer: 18919.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:36 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -o - 2160, -2*u + 2880 = 2*u + 3*o. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 8*c**2 - 5*c - 10. Let s be d(7). Suppose m = -2*l + 1, -m + 3*l - 18 = 3*m. Sort 5, m, s.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + -6 - -9) + -79 + 84?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11554 or 1?\nAnswer: -1\/11554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/7)\/(-2))\/((-4026)\/(-18117)*(18 - 0))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**2 - 154*x + 3004. What is b(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -969, -1410, -1865, -2340, -2841, -3374?\nAnswer: -3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 + 8*b**3 + 5*b**5 - 1 - 10*b**2 - b**5 - 18*b**3 - 5*b**4 - 5*b = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181*t + 180*t - 4*d + 4, d - 6 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03548 * -382.2\nAnswer: -13.560456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19582, 0.1, -2\/11, -2\/7 in descending order.\nAnswer: 0.1, -2\/11, -2\/7, -19582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 + g - 1 + 2 - g**3 + 0*g**2. Let v be 3\/((-28)\/(-8) - 5). Give d(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13*s**3 - 2*s**2 - 22. Let r(m) = 25*m**3 + 5*m**2 + 45. Let z(f) = 5*b(f) + 2*r(f). Find the first derivative of z(o) wrt o.\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 20 - 2. Is ((-11885)\/a)\/((-168)\/(-16) + -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(3\/(-11*3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 - 4453?\nAnswer: -5011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 733042.1 kilometers?\nAnswer: 733042100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-760*s - 2193*s - 2162*s)*(0*s - 2*s + 4*s).\nAnswer: -10230*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 269*r**2 + r + 12. Let l(i) = -269*i**2 - 2*i - 15. Let w(v) = -3*a(v) - 2*l(v). What is the second derivative of w(o) wrt o?\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49274173*l**2 + 76422460*l wrt l.\nAnswer: 98548346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 13*p - 30. Suppose -5*y + 24 = -3*z, p*y + 0*z = 5*z + 2. Solve -2*v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibicccibbnincncbiii. What is prob of sequence nbic?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -911, 7, -1, 4, 0 in descending order.\nAnswer: 7, 4, 0, -1, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Suppose n*j = 3*j + 2. Solve -j = -5*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -607, -1038, -1577, -2254, -3099?\nAnswer: -4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: c40b (base 13) to base 4\nAnswer: 12212223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*u - 710*u - 7076 + 3882 = 4312 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000491 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24247367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((132\/(-11))\/(15\/2))\/(176\/(-40)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 116. Let u = g - 13. Suppose 2*t - m - 31399998 = 0, -u*m = t - 5236952 - 10463058. What is t rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Let n(x) = x**3 - 2*x + 2. List the prime factors of n(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 5*z**4 + 4*z**4)*(-35*z - 8*z - 15*z).\nAnswer: -406*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -647 - -647. Let b = -720 - -718. Sort -3, v, b, 134 in descending order.\nAnswer: 134, v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292553390?\nAnswer: 2, 5, 127, 230357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.4698 litres to millilitres.\nAnswer: 92469.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112035 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -796*j - 39. Let t(x) = 199*x + 10. Let i(g) = 2*s(g) + 9*t(g). Is i(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*v - 29799 = -41727 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*4\/(-18)*6 + (-5)\/4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10\/7)*z)**(22\/7)*(z\/z**(-13\/2)*z)\/(((z\/(z\/(z*z**(-2\/35))))\/z)\/z) assuming z is positive.\nAnswer: z**(4023\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 7. Let r be b(-5). Suppose 3*q - 2*d = -q + 36, r*d - 36 = -5*q. Let p(a) = -a + 12. Determine p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*q - 4 - 6, 6 = 3*q + k. Let w = q + -2. Let j = -4 - -3.5. Sort j, 2, w in descending order.\nAnswer: 2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 4*a**2 - 5*a + 3. Let r be y(5). Suppose r*l - 126 = 789. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -5*r**2\/2 + 8*r - 1. Let n(m) = 4*m - 7. Let s(f) = f**3 - 7*f**2 + 6*f + 6. Let q be s(6). Give q*n(p) + 5*h(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**4\/4 + 8*t**3\/3 - 5*t**2\/2 - 8*t + 2. Let o = -215 - -217. Let w be o\/8 - 2\/(48\/(-162)). Determine i(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 0*z + 2 + 0*z + (z - 2*z + 2*z)*(-175 - 23*z + 175).\nAnswer: -25*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cemmmra. Give prob of sequence er.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:04 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*u - 8\/7*u**2 - 2\/7*u**3 - 4\/7.\nAnswer: -2*(u + 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w - 2*w**2 - 6 + 13*w. Let k(j) = 3*j**2 + 7. Calculate 7*d(f) + 6*k(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/8, -22, 3 in increasing order.\nAnswer: -22, -3, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 64140.2 centuries?\nAnswer: 641402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18297.58 weeks to minutes.\nAnswer: 184439606.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63688500?\nAnswer: 2, 3, 5, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10940*s**4 - 1221*s - 164624280.\nAnswer: -43760*s**3 - 1221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 36 = 0. Calculate the remainder when 3 + 69 - (0 + 1) is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 5:36 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/8 and -77\/1352.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/5)*h*h)\/(h*h\/h**(2\/67)))\/(h**(-19)\/(h*(h\/(h*h**9*h))\/h)))**(-1\/7) assuming h is positive.\nAnswer: h**(-3159\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -470\/7 (b) -2\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 883 + -882. Let g = -1\/14 - 19\/126. Is q < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.144 - -5.774. Let h = m + -118.83. Let x = h - -100. Round x to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -22*i**7\/3 - 2*i**3\/3 + 7*i**2\/2 + 128*i + 3. Find the second derivative of x(g) wrt g.\nAnswer: -6160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**3 + k + 1. Let q be w(-1). Let y(i) = -i**3 - 3*i**2 + 3*i - 5. Let j be y(q). Let z = j + 22. What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 6*q + 56. Let m = 16 - q. Suppose -m*z = -6*z. Solve -s + z*s = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-17 - ((-5 - 0) + 16)) + 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/115))\/(g**(-32)*g)*(g\/(g**30\/g)*g)\/(g**(-20)*g) assuming g is positive.\nAnswer: g**(2758\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Sort 12, 0, v.\nAnswer: 0, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3662 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*k + 3430, -k - f + 2*f = -695. Suppose -7*g + k + 297 = 0. Calculate the remainder when g is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 35, -9, 8 in increasing order.\nAnswer: -9, -5, 0, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2009*k = -564*k + 1130*k - 221450 for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-27))\/(24\/108). Suppose 0 = n*i - 34 - 20. Are i and 28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4201, 1\/4, 13.5 in ascending order.\nAnswer: 0, 1\/4, 13.5, 4201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 21*p**5\/20 + 4*p**4 + 2*p**3 - 4*p. Find c such that t(c) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 15*m**2 - 46*m - 164. Calculate s(-18).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 11:25 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:12 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8222*b - 4132*b = 4150*b + 1200 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 0. Let c be 0 - (-186)\/(-2 - d). Suppose 0 = -3*n - f + c, 8 = -n - 3*f + 26. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -3, -0.5, -0.055, 3\/8 in increasing order.\nAnswer: -3, -0.5, -0.055, 3\/8, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 98470, 202976, 307482, 411988?\n\"Answer: 104506*f - 6036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = 2*q, 4*o - 2*q - q + 3 = 0. Suppose w + o*w = 2. Determine h so that 0*h - h + 6*h**w + 3*h + 2*h**4 + 6*h**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129466079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00562 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 1\/16 (c) -20.6 (d) -2\/11 (e) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25394929 + -4?\nAnswer: 25394925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -2*o**7\/15 + 5*o**6\/12 - o**5\/5 - 7*o**4\/12 + 2*o**3\/3 - o**2. Find z such that q(z) = 0.\nAnswer: -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15639634 rounded to the nearest ten thousand?\nAnswer: -15640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 8*t - 3*t + 101, 50 = -2*v - 2*t. Let n be 1\/1 - (-6)\/(v\/(-20)). Suppose 271 = -n*o + 1021. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-10)\/(-4))*(-116)\/(-145). Sort 44, l, -4, -5, 3 in ascending order.\nAnswer: -5, -4, l, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28*(55\/10 - 5). Calculate the remainder when 122 is divided by -2*(106\/(-8))\/(7\/z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -75 + 0*l**3 - 19\/5*l**5 - 1\/12*l**4 - 9*l**2 - 3*l. Find the third derivative of i(k) wrt k.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*c + 6*c**2 + 194*c - 68*c**2 - 89*c.\nAnswer: -62*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + (-107 - -76 - (-1 - 15) - -15)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14427461 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 8 = 32*n. Suppose c = -3*c - 12, -v + n*c = -59. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttfw when four letters picked without replacement from fwwftwtttt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -60. Suppose -x = 2*q - 2*p, 0*q + 2 = -q - 5*p. Let t = 8 - q. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - t**2 + 40*t - 329. Let l be v(7). What is the greatest common divisor of l and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238970 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -35.9?\nAnswer: -14.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662, 673, 698, 743, 814, 917?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/10 - 63797*y**2\/10 - 6380*y + 63798\/5 = 0.\nAnswer: -2, 1, 63798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 274 and -0.3.\nAnswer: -82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -1 - (-1060 + 1033)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32786.84 rounded to the nearest 10?\nAnswer: 32790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:19 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16242355 + -3?\nAnswer: 16242352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -3, 9342?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3724, 7451, 11178, 14905?\nAnswer: 18632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 6 = -132 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32450*b*h**3*j - 3*b*h**2 + 2*b*j - 6*h**3*j + 13178*h wrt h?\nAnswer: 194700*b*j - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -10, -41, -72, -103, -134?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*y - 11*y + y**3 - 20 + 0*y - 22 wrt y.\nAnswer: 3*y**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 19*h**2 - 17*h + 10. Let s be p(18). Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -437 or -1307\/3?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j - 3. Calculate p(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1334 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7600 + 3480799\/458. What is the second smallest value in x, 0, -1\/5, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/60 + o**4\/8 + 19*o**3\/6 - 4*o**2. Is p(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 2\/7, -1\/23, 1, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900*c - 3802*c + 7 = -1911*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 1, b: 9, k: 7}. Give prob of picking 2 b.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u - 9. Let c be y(7). Let b = c - 27. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*((44\/(-40))\/(33\/(-330)) - 1958\/198)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -53.6. Let k = -1 - -0.9. Sort k, 3, h.\nAnswer: k, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156 - 142 + 254 + 134*s - 183 wrt s?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*k**2 + 492*k**2 - 77690822*k + 77690822*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30 = i. What is the least common multiple of ((-8)\/3)\/(6\/(-27)) and ((-2)\/(-6))\/((-2)\/i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - 16*s - 72. Suppose 0 = 3*a + 9 + 6. Let b = s + a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033015484 to 5 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odwott. What is prob of picking 1 d and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -24 (b) -0.05 (c) -1 (d) -0.1385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/31, -5, 0.04 in decreasing order.\nAnswer: 0.04, -14\/31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**0)\/m)\/((m*m**(-3))\/m)*(m\/((m\/((m*m**(-1\/3)\/m)\/m))\/m))**(1\/8) assuming m is positive.\nAnswer: m**(119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0112 or -2\/405?\nAnswer: -2\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2018596?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(168) - (sqrt(168) + (sqrt(168) + sqrt(168)*-2 - sqrt(168)) + sqrt(168)))\/sqrt(6))\/(sqrt(4) + (sqrt(4) + sqrt(16)\/sqrt(4))*2).\nAnswer: -3 + sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2388518 and 75\/242?\nAnswer: 26273698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75.5 + -70.5. Which is the biggest value? (a) 2\/13 (b) -2\/617 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 7*j. Suppose j = 5*v - 0*v + 30. Let a(w) = w**3 + 5*w**2 - 9*w - 2. What is the remainder when a(v) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (64\/448)\/((-1)\/2). Let n = -0.38 - 3.82. Let d = n - 0.8. Put d, -1\/3, f in descending order.\nAnswer: f, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(-3*((-90)\/(-9))\/(-1710))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 172935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6344 + -44426\/7. Suppose -6*g - 2*r = -3*g + 14, 3*g - 3*r + 9 = 0. Is g at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 - 3*b + 4. What is d(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112726746 to the power of 1\/3, to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x - 2. Let i be x\/(-3)*(-147)\/(-14). Calculate the highest common factor of 126 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 + 62 = -9*x. What is the remainder when 87 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-90) + (-3)\/9. Which is the third biggest value? (a) 4\/7 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y - 3*y)*(-1 + 6 - 6)*(214 - 214 + 88*y**3).\nAnswer: 176*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 0.5 (c) -5 (d) 0.2 (e) -122\/7 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 2. Let l be ((-2)\/(-4))\/(10\/(-80)). Let u be q(l). Solve 54*s + 54 + 15*s**u + 2*s**3 + 0*s**3 + 3*s**2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m - 815 + 1666 - 852.\nAnswer: 34*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 4*k**2 + 1. Suppose 25*c = 18*c - 3556. Let a = 506 + c. Calculate p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -466337*y**2 + 606075 wrt y.\nAnswer: -932674*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-88))\/((-1)\/(-2)). Let g = -1\/103 - 203\/309. Which is the closest to 1? (a) 2\/13 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6053644350.331 take away -0.1?\nAnswer: 6053644350.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 7*t + 4*t**2 + 21*t**2 - 7*t to u*t**2 + g + r*t and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-567)\/36*(686\/(-441))\/(-14).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -873.99142 + 874. Round g to four decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 12 = 0, 0 = 2*l + 2*f + 10 + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let j = 157 - 156.8. What is the nearest to j in n, -2\/9, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 48*c**2 + 57*c + 208. Is 73 a factor of n(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 21, 0.3, 0, 1\/3, -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000104546 to seven decimal places.\nAnswer: 0.0001045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - 1240002?\nAnswer: -1240034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1239 = -29*o + 8*o + 14*o. Calculate the remainder when 3539 is divided by o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + k - 12 + 4 = 0, -2*a - 3*k = -21. Suppose 39 = 6*n + a. Find the third derivative of -9*s**n + 15*s**4 - s**2 - 15*s**4 - 3*s**6 wrt s.\nAnswer: -1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -754297273 + 445.\nAnswer: -754296828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.461 - 0.939. Which is the third smallest value? (a) n (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -19 - -1) + -4689 + 4722\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/20 + (-51)\/15. Let m be (-2 + 1\/c)*60. Round m to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 462a (base 15) to base 4\nAnswer: 3220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(720) + 0 + 1 + sqrt(720) + -1*sqrt(720) + sqrt(720) + (-3*(sqrt(720) + 5) + sqrt(720) + -5 + -4)**2.\nAnswer: 1176*sqrt(5) + 3459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from {d: 11, f: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -16*m**3 - 4*m**2 - m. Let q(a) = 15*a**3 + 3*a**2 + a. What is -3*d(r) - 4*q(r)?\nAnswer: -12*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 1, s: 1, d: 1, m: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-11 + 5 - -11). Which is the nearest to g? (a) -1\/4 (b) -16 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - y + 56*y**2 - 67*y**2 + 15 + y**3. What are the prime factors of h(-16)?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 610 - 575. Find the third derivative of 66*i**2 - 32*i**6 - n*i**6 - 10*i**6 + 159*i**2 wrt i.\nAnswer: -9240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f - 2656 = -430 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1943 - -33a?\nAnswer: 1c80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187791*w**3 + 4*w**2 - 10215*w wrt w.\nAnswer: 1126746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.378 + -19?\nAnswer: -44.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**(1\/20)\/(k**3*k**(-2)))\/((k**0)**(3\/29)\/(k**0)**(-8)) assuming k is positive.\nAnswer: k**(-81\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5 + 5576*i**4 - 364812*i**3 + 6349568*i**2 - 11284480*i = 0 for i.\nAnswer: 0, 2, 32, 5510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21\/2 - 81\/8. What is the third biggest value in -1\/2, 3, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 109 + (49 - (-18 - -36))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 55.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 229567477 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62fa9 - f1?\nAnswer: 62eb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:05 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 6) in base 13?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 405262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-4)\/(-208)). Let s be (-134)\/b - 4\/26. Suppose 2 + 13 = s*w. Solve -w*d = -d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9823524 and 46697?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from {s: 5, v: 4, p: 8}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 198 = 4*r. Solve -r*s + 13*s = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/7 + 36*w**3\/7 - 57*w**2\/7 - 1026*w\/7 + 1944\/7.\nAnswer: 3*(w - 4)*(w - 2)*(w + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*y - 2339 - 3440 = 191*y + 8339 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12328 - 12328.039863. Round g to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 6*f - 21*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21a82 (base 12) in base 2?\nAnswer: 1010111011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (750\/(-100))\/((-5)\/4). Let h(b) = -87*b + 4 + 3 - w + 94*b. What is h(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*d**5 + 4*d**3*t + 81*d**2*t + 13150*d*t + 11*d + t - 2 wrt d.\nAnswer: -1680*d**3 + 24*d*t + 162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(9\/12) + 4. Solve 9*v - 4*v - 15 = k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726 divided by 726.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/3548 - -126435\/131276. Calculate the common denominator of u and 401\/(-42) + (-176)\/28 + 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*m - 54*m = 2706. Let s(g) be the first derivative of 4\/3*g**2 - 4\/3*g - 5\/9*g**3 + m + 1\/12*g**4. Factor s(i).\nAnswer: (i - 2)**2*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 30126*q\/5 - 90396\/5.\nAnswer: 2*(q - 3)*(q + 15066)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15139 - -15414. What is the highest common factor of f and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2718087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10731 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -170520 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 - -107?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 at least as big as -2507.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 38*c**3 - 888*c**2 + 16632*c.\nAnswer: 2*c*(c - 22)*(c - 18)*(c + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -481781837419.24 take away -0.3?\nAnswer: -481781837418.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1432.298 millilitres to litres.\nAnswer: 1.432298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/76 + (-9)\/24. Which is the closest to 0.4? (a) 2\/9 (b) -2 (c) -0.5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/13 or -1?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -52, -136, -264, -442?\n\"Answer: -n**3 - 13*n**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67115 - 204176 = -71*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301a (base 14) in base 3?\nAnswer: 102022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3850 and 2984828.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 - 13*g + 17. Let l(c) = -25*c**2 + 53*c - 70. Let x(a) = 9*i(a) + 2*l(a). Is x(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12996*z = -12572*z + 11024 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 24*p - 10. Let y(i) = -4 - 3625*i**2 - 5*i - 5*i + 3624*i**2. Let w(g) = -5*v(g) + 12*y(g). Determine n so that w(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14201 + 14202. Put -20, f, 7 in decreasing order.\nAnswer: 7, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*l + 2 - 2 + 230*l**2 - 214*l**2 + (2*l - 4*l + 3*l)*(11 + 3*l - 11).\nAnswer: 19*l**2 - 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12754055 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -638*(-57)\/(-3762)*6\/2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 4. Let g be y(-5). Suppose g - 105 = -2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 4, b: 2, z: 3}. Give prob of picking 2 h and 2 z.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8084*l**4 + 7509*l**2 wrt l.\nAnswer: -194016*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 - 24. Let g(a) = -8*a. Calculate v(g(c)).\nAnswer: -64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366596307.\nAnswer: 3, 7, 11, 176333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 43. What is the units digit of u\/((-3)\/(-5)*(-10)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10368109 to 3 dps.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*f - 203*f + 83*f - 381.\nAnswer: -267*f - 381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 + -165. What is the greatest common divisor of v and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 968*u**2 + 7*u + 12. Let n(p) = -968*p**2 - 6*p - 10. Calculate -6*n(f) - 5*o(f).\nAnswer: 968*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, f: 5, k: 1, z: 1}. Give prob of picking 2 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1601 = 7*m - 7492. Suppose -5*c + 1241 = -m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 206629 in decreasing order.\nAnswer: 206629, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = 5. Let h = -33 - -72. Suppose -f*t + 3*x = -0*x - h, t - 13 = -2*x. What is the lowest common multiple of t and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 + ((-3126)\/392)\/1 and -5\/28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -11*x**4\/24 - 15*x**2. Determine k(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 512 = -5*o, 0 = 5*o - d - 318 - 200. Suppose 0 = -13*r + 9*r - n + 82, -n = 2*r - 40. Calculate the remainder when o is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22221011101 (base 3) to base 10\nAnswer: 175807","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1791 or -8?\nAnswer: 1791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102096 and 7090.\nAnswer: 510480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 417019 + -249377253\/598. Calculate the common denominator of 65\/4 and h.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f**5 + 0*f - 13*f**2 + 0*f**4 + 11\/120*f**6 + 0 - 11\/6*f**3. What is the first derivative of k(c) wrt c?\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 21*w + 43. Let o be r(16). Let h = 2502 - 15233\/6. Let t = o - h. Do -1 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959679189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l + 5. Let z = -73 + 78. What is b(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 448 = -888. Let j = -374 + x. Suppose -2*c + j = c. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 4) + (-3 - -1). Let q be (-18)\/72 + 5\/j. Let m be (-33)\/(-22)*(q + 1)\/(-6). What is the second smallest value in 6, 0.4, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-139 - ((-36 - -42) + -11))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(40\/(-15))*(-22288)\/14. Solve 58*j - o = -249 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 3*t - 3*t)*(2 + 0 + 2)*(7 - 3 - 2) + (-1 - 1 - 4)*(5 + 2*t - 5).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-3*(-6)\/(-9)))\/(-1). Let t = 28 + s. Let i = t + -16. Calculate the remainder when 34 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - ((-24)\/(-10) + 2 - 3). Let u = 3.2 + -3. Let o = 0.1 - u. What is the second biggest value in 2, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*j + 4*p, 0*p = -2*j - p - 21. Let z = -12 - j. Suppose 33 = -z*c + c. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 21*y**2\/2 + y + 4. Let v be m(-4). Is v\/(-2*3\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * -0.1.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 693149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 4*q - 1. Let p be a(2). Let o(z) = -3*z. Let m(i) = -i. What is p*m(u) + o(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 0.31514.\nAnswer: 9.4542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012661731 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*q = -10, 218*q + 67 = 4*f + 223*q. Let a(z) = -4*z + 8. What is a(f)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 + 410. Let h = 328 - u. Solve -n = -h + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4373.9 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2835 - -6032. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - b + 1927 = 0, -3*p + 5*b - 4*b + 1153 = 0. What are the prime factors of p?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(-2\/17)\/((m**(-1\/2)*m)\/((m\/(m\/(m**(-5)*m)))\/m)) assuming m is positive.\nAnswer: m**(-94\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.546 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 + 7. Let s be (2 - 15\/6)*1*-10. Determine x(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/1279, -0.7, -2\/5, 0.2, 79, -4, 3\/7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13*m**2 - 174*m + 54. Determine n(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*f + 4*f. Let s be 9\/f + (-68)\/(-30). Let i = -16 - -47\/3. What is the smallest value in s, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20*(-270)\/(-252)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - n + n - 5 + 9*n in the form f*n + z and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85951 divided by -5.\nAnswer: 85951\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01536149 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 4*r. Let b = -6 - -1. Let u be v(b). Suppose -47*a + 50*a - u = 0. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p. Let c(j) = j**2 + j + 11. Let m(o) = o**2 + 2*o + 15. Let g(l) = 7*c(l) - 5*m(l). What is g(i) + 3*h(i)?\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*a**3*g**2*j**2 + 139*a**3*g - 785882*a**3*j**2 - 3*a**2*g**2*j + 9778*a*g**2*j wrt j.\nAnswer: -56*a**3*g**2 - 1571764*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/5 - 8*k**2\/5 - 13*k\/5 - 6\/5 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Let d = -10 + 9.9. What is the closest to d in -0.2, m, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79\/18 - 17\/9. Are 3 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/30)\/(740\/(-1850) + 32\/(-10))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.6 (c) 1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 1, s: 2, u: 4}. Give prob of picking 1 u and 1 s.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36396 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*u = -6 - 19, -8 = -2*q + u. Suppose -4*c + j = -q*j - 5460, -4*j = -4. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*m + 53, 30*b - 32*b = 12. Let s(f) = -f**2 + f. Give s(m).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 2*c - 9. Let y(n) = 3*n**2 - 3*n - 13. Calculate 7*d(f) - 5*y(f).\nAnswer: -f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -378983000 rounded to the nearest 1000000?\nAnswer: -379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2878 = 28346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 105514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8990 is divided by 253.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) 37 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:33 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*o*u**3 - 35581*j**2*o*u - 48*j**2*u**3 + 274*j**2*u**2 with respect to o.\nAnswer: -2*j**2*u**3 - 35581*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 19*i**2 + 36*i - 29. Calculate h(-21).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3*x - 16 = 0. Let s = x + -6. Let t be ((-3)\/3)\/(s\/10). Solve -3 = 2*g - t*b + 10, 5*g + 5*b = -15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*x**2 + 15*x - 26*x - 604*x**2 + 264*x**2 + 12*x.\nAnswer: -111*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 3*p + 39. Let d be m(-5). Let b = 3 + -4. What is the closest to b in -4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-18))\/((-20)\/((-70)\/14))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15*2\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 8 = 14*w. Suppose -w*q + 2*q + g = -221, 3*q = 3*g + 327. Calculate the greatest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94.71 + -2.29. Let x = j + 100. What is the nearest to -1\/5 in x, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 + 2*m**2 + 23*m - 1. Let i be s(-3). What is the highest common divisor of 16 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994771511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**3 + n**2 - 12*n + 19. Let x(r) = 4*r**3 - 6*r + 9. Let s(i) = 3*o(i) - 7*x(i). Calculate s(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 30*z**2 - 55*z - 28. Let x be t(28). Suppose x = d + 4*d + 5*w, 0 = -d - 2*w + 4. Sort -11, d, 4 in decreasing order.\nAnswer: 4, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2350*h**2 + 2344*h**2 - 3 - 4672*h**2.\nAnswer: 22*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 16) to base 11.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:17 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121016558 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -16*f + 79. Let k be d(10). Round k to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -185*d - 7. Let q(n) = 92*n + 3. Give -3*p(r) - 7*q(r).\nAnswer: -89*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 10 - 10 = 0, -5*f + 161 = 2*s. Is 94 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 56*a + 24. Give b(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*i + 134 = 106, -12*i = 4*p + 32 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 427, -0.1, -1\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20 - (-1 + (0 - 1)). Suppose -4*n + p = -34. Suppose 3*s + n - 43 = 4*f, s + 1 = -4*f. Calculate the least common multiple of 4 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179421260 a multiple of 3739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 2\/(1 + -2). Let h(x) be the third derivative of c*x + 0*x**3 + 0*x**4 - 1\/20*x**5 - 4*x**2 + 0. Let q(y) = y**2. Determine q(h(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 134. Suppose 0 = -2*a - 3*u + 16, 3*a + 3*u + 0*u = 21. What is the tens digit of (-5 - r) + a + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 24. Let x = t + 13. Let w be -2 + 4 + 2\/(-2). Which is the nearest to w? (a) 1 (b) -3\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c - 3*s + 135 = -22*c, 135 = 5*c - s. Solve 26*i - c*i = -3, 5*i - 5 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 134956, 269909, 404858, 539803, 674744, 809681, 944614?\n\"Answer: -2*u**2 + 134959*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h + 23. Let f be c(8). Let d(x) = 3*x**2 - 6*x. Let b be d(6). Let t be (142\/(-9) - 1) + (-16)\/b. Is f smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43304567?\nAnswer: 241, 179687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35718, -35721, -35726, -35733, -35742, -35753, -35766?\n\"Answer: -u**2 - 35717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 0*y - 8*y**3 + 2\/5*y**5 + 1\/2*y**4 - 90 + 0*y**2. Solve b(n) = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 6695.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -2*y + 25, y - 31 = 5*d. Suppose -332 = -y*b + 556. Calculate the remainder when b is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1778*l**5 + 21342*l**4 + 58602*l**3 - 113990*l**2 - 148968*l + 504 = 0. Calculate l.\nAnswer: -3, -1, 3\/889, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -12 (b) -0.1 (c) -3\/5 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 5*i + 3*b, 3*i + b + 1 = 0. Is 3 a factor of -6*(-1)\/(-2)*i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001356139 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 7*y - 10. Let n be -4 - (70 - -4)\/y. Suppose 2*g + 3*q = 2*q + n, 0 = 4*q + 20. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11526*m**2 + 785*m**3 - 11526*m**2)*(m - m + m) as s*m**2 + d*m + b + p*m**4 + u*m**3 and give p.\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + (0 - -6) + (-2 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/((-2)\/(4\/3)). Let t be (48\/k)\/((-6)\/(-20)). Let o = -6 - -4. Put -5, t, o in decreasing order.\nAnswer: t, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - (2 + -1)) - (97 + 97 + -205)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.533067 - -0.4983. What is r rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21560\/41 or 526?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.831585 centuries?\nAnswer: 8.31585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2874*d + 3221*d = 6940 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 1)*(-h + 3*h + 0*h) + 2*h - 2*h - 2*h)*((-1 + 5 - 2)*(-1 - 3 + 3) - 6 - 1 + 2).\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -447*u + 82525. Calculate c(185).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -3*x - 85. Calculate the remainder when 74 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52494, -104816, -157138, -209460, -261782?\nAnswer: -314104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3361 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116427 is divided by 2646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 4*s**2 + s**2)*(-6420*s + 174*s**2 + 6420*s) + 4 - 4 - 2*s**4.\nAnswer: -176*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-117)\/26)\/3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {f: 11, m: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 28 = -5*r, -4*r + n = -r - 16. Suppose 0*l - 2*l + 1 = 3*w, -w = -r*l + 28. Suppose -l*q = 30 - 35. Solve -h + 2*h + q = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3573107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 624 and 2597528?\nAnswer: 202607184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Suppose 4*k = c*m - 96, -5*m + 163 - 58 = -2*k. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/36)\/((-3)\/(-18))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d - 411c?\nAnswer: -415a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s + 3*k - 43 = 0, s - 4*k - 6 = 0. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose -n*f + 14 = -10. What is the units digit of 3\/f + 7\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -23\/12529?\nAnswer: -23\/12529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:01 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 12*v - 8*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 10*d + 28. Suppose 4*s + 24*t - 13 = 25*t, -3*s = -3*t - 12. Determine b(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npacppwpnpaacpc. What is prob of picking 1 w and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25136211091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53 + 25 - -17) + (2 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 + -3) - (0 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101011101000010110 (base 2) in base 9?\nAnswer: -4247805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336338)\/8778 + 38 - (-4)\/11?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1474*y - 157715. Give f(107).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/4*-1 - -3. Suppose -5*c + v + 15 = -0*c, f = -3*v + 15. Let r = 0 - -2. Solve 0 = -3*p + r*p - c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 1 l when three letters picked without replacement from {k: 3, r: 6, l: 1, o: 3, e: 1, n: 3}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 4*t + 3. Let u = 3 - 5. Let q be z(u). Sort -4, 4\/3, q in increasing order.\nAnswer: -4, 4\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1175 - 1175.10994. Let t = h + 0.11. What is t rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 + -277. Let c = 67 + s. Let g be 9\/18 + 26\/c. Sort g, 0.4, -4 in ascending order.\nAnswer: -4, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, 1\/159, 2, -10, -3?\nAnswer: 1\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2.37, 2\/3 in increasing order.\nAnswer: -2.37, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -560*y + 1. Let g(s) = 1683*s - 3. Determine -19*b(x) - 6*g(x).\nAnswer: 542*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6928 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-221)\/(-650))*(50\/(-10))\/(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 328*b - 328. What is v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3.1. Let y(h) be the first derivative of 3*h**4\/4 + h**3\/3 - 43. Let q be y(-1). Which is the closest to -2\/7? (a) q (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 7095, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*a - 10. Let d be (1 + 3\/6)*a. What is the highest common factor of 12 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-9 + (2 - (-12 - -4 - -6)))) + 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4.7. Suppose 5*x = -4 + 24. Suppose -8*l - 14*l + 22 = 0. Which is the closest to 1? (a) l (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + w**2 - 2*w**2 + 5*w**2. Let f(v) = -9*v. Let m(s) = 14*s. Let g(x) = 8*f(x) + 5*m(x). Give k(g(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {c: 2, k: 1, f: 4, p: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from aieeeieimeme.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1640379 = -235*a + 222*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/373 or -1?\nAnswer: 1\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o + 33*o = 80*o - 282387. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -7*g + 23 + 40 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000072743 rounded to six dps?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 361791 - 723553 + 361762.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k + 34\/7*k**3 - 30\/7*k**4 - 4\/7*k**2.\nAnswer: -2*k**2*(k - 1)*(15*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i. Let w(c) = -c**3 - 8*c**2 + 10*c + 6. Let d(p) = 4*q(p) + w(p). Let r = 42710 - 42716. Determine d(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 - 138*n + 919. What is q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4330 + -1510. What are the prime factors of q?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 36*o**2 - o + 17. What is h(-3)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 5*m**2 + 2*m - 2. Let n be v(-2). Let f = 135 - 127. What is the remainder when f is divided by (1 - -2)*n\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.719 - -0.419. Which is the fourth biggest value? (a) -2 (b) 0.3 (c) o (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84301.81 millennia to decades.\nAnswer: 8430181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -l + 4*l. Let q = 4 - l. Suppose t + 5 - 17 = q. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 597 in 0.3, 25, 1\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70.4 and 13.53097?\nAnswer: 952.580288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971516 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 209471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-4)*(-4)\/5. Let d be (0 - (-3)\/6)*(27 + -17). Let c(m) = -4*m + 20 - 18 - 2*m + d*m + 2*m - m**3. What is c(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:47 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 106, 108, 110, 112, 114, 116?\n\"Answer: 2*w + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 7. Let v be n(6). Let o be (v\/10)\/((-1)\/(-20)). Calculate the highest common divisor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156507895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 23*n**2 - 3*n**3 + 115*n**2 - 138*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - 8*m**4 + 7*m**4 - 1 - 2*m**3 - m**4 + 4*m - 2*m**2 to p*m + n*m**3 + k*m**2 + y + z*m**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgglggllgg. What is prob of sequence lglg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/40 + (-53)\/52470*737?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/26 - -2 - (-14)\/78.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 5*a + 13. Let n be v(4). Is 12 a factor of n - (-20)\/(-2 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5 + -26?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 18*l**2 - 122*l + 168.\nAnswer: (l - 4)*(l - 2)*(l + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11240413002 - 30?\nAnswer: 11240412422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/250213743?\nAnswer: 2\/250213743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 39028428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**3. Let q be o(-1). Let r(x) = x**3 - 6*x**2 + 3*x + 5. Let b be r(q). Let z be 12\/(-30) + (-17)\/b. Let m(p) = p**2 - 2*p + 1. What is m(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -25.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383266223 is divided by 662?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -162 + 2*b - b + 159 - 7*b in the form l*b + t and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1244 and 7464?\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 850064 (base 9) in base 2?\nAnswer: 1111011010110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let h(y) = -9*y. Let m(q) = -6*q. Let l(g) = 5*h(g) - 8*m(g). Give l(s(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594837, -594835, -594833?\nAnswer: -594831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, h: 12}. What is prob of picking 3 y?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**3 + 17 - 18 + c + 8*c**2 + 50*c**3 + 33*c**3 to the form f*c + k*c**3 + s + q*c**2 and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**3 + 45*c**3 - 17*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + sqrt(55)\/sqrt(5))*-2*6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 457 + -21\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 5. Let b be w(-5). Suppose -z - z - 16 = -2*v, -4*v = -b*z - 28. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (-11 - (-23 + (23 - -7)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -1 - 0)*(7 + (-51 - -45)). Let l(k) = -12*k**3 - 4*k**2 - 3*k - 1. Let n(c) = c**3 + c**2 + c. What is d*n(b) + l(b)?\nAnswer: -9*b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9477237 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4749624, 9499251, 14248878, 18998505?\n\"Answer: 4749627*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 65\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 1)**2*-6 + 2 + sqrt(153) + 1 + 4 + -2.\nAnswer: -919 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 97*y**6\/6 - 4*y**5\/15 - 25*y**3\/3 - 228*y**2. Find the third derivative of t(m) wrt m.\nAnswer: 11640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgc when three letters picked without replacement from {i: 4, r: 2, g: 1, c: 2, v: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((sqrt(648) + 4)**2*1 - sqrt(648)) + (3 + (sqrt(648) - (sqrt(648) + (sqrt(648) - (-2*sqrt(648)*5 + sqrt(648))))))**2.\nAnswer: -576*sqrt(2) + 67470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 10. Let n = d + 112. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y + 8. Let m(w) = 15*w - 17. Let b(h) = -2*m(h) - 5*p(h). Calculate the remainder when 25 is divided by b(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 165, 242, 315, 384?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 97. What is l(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 186*g - 549. Give o(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = 2*y, 3*x - 4*y - 32 = 0. Suppose -3*c + 8 = 2*u, 3*c + x*u - 6 = 4. Let q(t) = -3*t**2 + t**c + 0*t**2. Let n(b) = -2*b**2. What is q(n(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*n**2 + 492*b**2 + 22*n**2 with respect to n.\nAnswer: -2*b**2*n + 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*p = 0, -3*y = 2*y + 5*p - 40. What is the lowest common multiple of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 9 - -2 - (28 + 19 + -64).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 7*v - 51*v**2 + 146*v**2 + 163*v**2.\nAnswer: 258*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 12*t**2 + 69*t + 2*t**2 - 3 - 4*t**2 + 9 - 54*t. What is g(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 32*z - 32 - 2, 0 = -z - 8 + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60654643 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002344425 to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011212 (base 3) in base 2?\nAnswer: -11000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(-2)*14*(-169)\/1183?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or 1366979?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 7. Let u(i) = -10*i + 30. Let f(t) = -9*g(t) - 2*u(t). Calculate f(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -4. Let p(v) = 13 + f*v + 6 + 0. Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 68?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 185*s**3 - 2*s**2 - 17*s + 18. Let m be v(1). What is the highest common factor of m and 5589?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -24. What is the third derivative of 6*t**d + t**5 + 137*t**2 - 135*t**2 - t**5 wrt t?\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.09496 - 1.09. What is s rounded to four decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 5031?\nAnswer: -5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 27*q + 76. Let s be c(-17). Let o = -152 - s. List the prime factors of o.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5473153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 a, and 1 m when four letters picked without replacement from {m: 1, t: 4, a: 2, s: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.41*-14.\nAnswer: -33.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - g - 5*g + 3*g + g - 7*g - 2*g + 3*g - 3*g + (2 + 1 + 0)*(5*g - 5*g - 2*g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 2*s**2 + 2*s - 3. Let m be o(3). Suppose 0 = 4*u - 215 + m. Calculate the remainder when u is divided by 133\/7 + 1*4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*f = -4*r + 13, -2*f + 22 = 4*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = 173*k - 112*k. Let s(w) be the third derivative of w**5\/60 - w**4\/6 - 5*w**3\/6 - w**2. Calculate the remainder when 44 is divided by s(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 19054*m + 76248.\nAnswer: -2*(m - 9531)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 2 + 14*x**2 + 11.\nAnswer: 11*x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*2 + (-71)\/(2769\/(-78)). What is the nearest to -0.1 in -4, 0.06, 8, m?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/546)\/(1\/(-7))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 967885571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**2 - 2*o + 1. Let p be r(1). Let z(g) = -g - 2*g**2 + 8*g - 16*g + 2. Let w(f) = -2*f**2 - 8*f + 2. Determine p*w(i) - 6*z(i).\nAnswer: -2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 1424. Suppose 4*d = -0*d + 3*r + y, -267 = -3*d - 3*r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 579\/4739 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + 2*u**2 + 2*u - 13. Let l(p) = 16*p**3 - 10*p**2 - 11*p + 67. Determine 2*l(g) + 11*z(g).\nAnswer: -g**3 + 2*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.144 + -1071.6999604.\nAnswer: -1071.5559604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -28. Let i = 45 + j. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*z + 28, -16 = -566*m + 564*m - 2*z. Let b(i) = i + 11. Let f be b(-8). Solve -m*u - f = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 8*v**2 + 13*v + 9. Let z(i) = i + 9. Let t be z(-15). Let l be u(t). Let p be 3\/2*(-8)\/(-6). Solve -l*x + 1 = -y, 5*x - p*y - 4 = 2*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992.73278 rounded to one dp?\nAnswer: 992.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/2))\/(z**(2\/53)*z))**(4\/21) assuming z is positive.\nAnswer: z**(14\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26200 + -39315. Let c = y - -18664. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 605*z**6\/6 + 469*z**2 - 1285. Find the second derivative of q(c) wrt c.\nAnswer: 12100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*o + 42, 3*o = 381*x - 380*x - 14. Let z = 106 + -130. What is the third biggest value in x, -10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 5*h - 4. Let p be k(-6). Calculate the common denominator of ((130815\/3456)\/51)\/(2\/(-8)) and p + (-27)\/20 - -2.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313.4 - -251. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**4 + 30*u**3 - 40*u**2 + 54*u - 10. Let r(x) = -2*x**2 + 20*x**4 - x**3 - 1 - 10*x + 9*x - 19*x**4. Let d(c) = -6*r(c) - s(c). Factor d(a).\nAnswer: 4*(a - 2)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.361 + -0.361161. Round m to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -73*i**4\/24 - 14*i**3\/3 - 51*i**2. Differentiate r(x) with respect to x.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 37*17*14\/119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*m**4 - 144*m**4 - 321*m**4)*(88 + 27*m - 88 + (3*m - 2*m + m)*(3 - 2 - 3)).\nAnswer: -8694*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -138 - w**2 + 138. Let u be -1*1 - 6*1. Let p(z) = -z**2 + 6*z + 6. Let b(g) = g + 1. Let f(i) = -6*b(i) + p(i). Calculate u*f(v) + 6*k(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2708989902?\nAnswer: 2, 3, 241, 624479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.9. Let l = 0 + o. Let x = -47\/2 - -23. What is the closest to x in 0.5, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -68979 - 2?\nAnswer: -68981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1657785546 + 5.\nAnswer: 1657785551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(-1*sqrt(72)*1 + 2*sqrt(72)*2 + sqrt(72) + 1 + (sqrt(72) + -2)*2))**2.\nAnswer: -6480*sqrt(2) + 93537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 3*f - 20 + 33 + 168.\nAnswer: f + 181","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3 - 4*q**3 + 5 - q**2 + 3*q in the form m*q + i*q**3 + o + z*q**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11226367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1472, 2961, 4450, 5939?\nAnswer: 7428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -73 * 1009\nAnswer: -73657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 14319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12*18\/(-48)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104, 99, 90, 77, 60, 39?\n\"Answer: -2*y**2 + y + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283082 is divided by 93941.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 126928250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -49, -76, -119, -184, -277, -404?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*-3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*q - 260 = 514 - 2899 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 183*l**2 + 0*l - l - 12*l**2 + l. Let a(i) = -i**2. What is t(a(j))?\nAnswer: 171*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61823608 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.97936 - -6. Let p = -5.98 - -6. Let d = p - v. What is d rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1891*a**3 - 5*a - 4. Let f be l(-3). Suppose -2*u = -4*i + 59320 - 18448, 5*i = -3*u + f. Suppose -5*j + i = 3*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 20, -1 in descending order.\nAnswer: 20, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-6 + 39\/6). Let i(g) = g - 2. Determine i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 726, 1263, 1840, 2451, 3090, 3751, 4428?\nAnswer: 5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 305980, 3, 4 in decreasing order.\nAnswer: 305980, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 83162 and 0.048991.\nAnswer: 83162.048991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**5\/30 - l**4\/8 + l**3\/2 - 2*l**2. Let q = -60664 + 60661. Give y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9074 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694884907 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.81 and -713?\nAnswer: 710.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1322854 and -0.55?\nAnswer: 1322853.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041800 is divided by 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -33\nAnswer: 59\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2499527711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 9:42 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/489 and 32\/4915719.\nAnswer: 801262197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 16*x + 24. Let g be j(-17). Suppose 3*a - g = 22. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 33, -275787.\nAnswer: -275787, -4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.645645*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 42*l - 40. Let a be b(-43). Solve 10 = -0*x + x + a*g, 3*x = 4*g + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 4. Let y(h) = 2*h - 5. Let d(w) = -5*k(w) - 4*y(w). Let j(s) be the third derivative of 67*s**4\/6 - 15*s**2 + 63. Calculate d(j(u)).\nAnswer: 536*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*8\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -u. Let f(q) = -3*q + 15. Let y be f(-11). Suppose y = s + u*s. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - -7 - (-713 - -681).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43731\/258 - 30\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 53*q**2 - 6*q - 17. Let f be b(-4). Suppose 863 - f = 8*n. Solve -4*t + n = 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 + 7*n**4 - 4*n**4)*(2 - 22 - 5*n + 12).\nAnswer: -40*n**5 - 64*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*3*8\/280.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h**2 + 6*h - h**2. Let z be s(-6). Suppose l - 2*b = 18, z = 5*l + 3*b - 2*b - 46. Calculate the remainder when 19 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**3 - 10482275*n**2 + 167717605*n - 157235325 = 0.\nAnswer: -2096471, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -261885 take away -4841.649?\nAnswer: -257043.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -275, -1621, -5107, -11801, -22771, -39085?\n\"Answer: -178*p**3 - 2*p**2 - 94*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2. Let m(w) be the third derivative of -w**5\/12 + 19*w**2. Determine m(l(j)).\nAnswer: -320*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -194494.\nAnswer: 194494.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 3 - m + 33 + 15.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 450137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 0, 5*l - 114 = -2*d + d. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4 = 2*v, -8*v + 12 = -3*v + 3*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -26. Let i = 2 - j. Let z = -13 - i. Put -0.5, -1\/3, z in ascending order.\nAnswer: z, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h, f + 0*h - h = 4. Let i(m) = -4*m - 4*m**f - 2 + 2*m**3 + 13 - 8. Does 19 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101110 + -11?\nAnswer: -10101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -243, -5, -9 in descending order.\nAnswer: -5, -9, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*n + 5. Let q = n - 5. What is the units digit of (2 - -1) + q\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2422617243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4561 is divided by 2229.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10315 at most -10315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 1040 + 360 = 0. Calculate the lowest common multiple of 1 and n.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**5\/60 + 7*t**4\/24 + 5*t**3\/3 - 12*t**2. Let p be u(9). What is the smallest common multiple of 6 and (3\/6*2)\/((-1)\/p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**11*(((r\/(r*r**10))\/r)\/r)\/r*r**(2\/15)*r**2 assuming r is positive.\nAnswer: r**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16066.78 * 0.1.\nAnswer: -1606.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330 - 327.49. Let l = v + 0.09. Let r = -0.4 - l. Which is the third smallest value? (a) r (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 9. Let w be z(16). Suppose -5 = -3*g + w. Sort g, -4, 5.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Let y be (-6)\/8 - (-27)\/(-12). List the prime factors of 2*y*q\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -100, -176, -270, -382, -512, -660?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71912063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 193 - 78*b - 34*b - 78 - 68*b + 80 wrt b.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 8*p**2 - 2*p + 14841. List the prime factors of b(0).\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i + 16*i + 3*i**2 - 19*i to the form u*i + y*i**2 + g and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*c + 15, -5*c - 4*b = -c - 20. What is the third derivative of -4*y**2 - 3*y**3 + 6*y**3 + c*y**2 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -257 + -5?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 171*v + 172. Calculate b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674344, -1351649, -2028942, -2706217, -3383468?\nAnswer: -4060689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2, 4*x = -5*n + 9*x - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51.153*5.\nAnswer: -255.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/27392 and -39\/88.\nAnswer: 301312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35338 is divided by 11774.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 13 (c) 1\/7 (d) 0.9 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1073 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72.3 - 75.3. Let t = 72 + -71.947. Let i = t + 4.947. Which is the nearest to -0.8? (a) i (b) -2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162290 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*k - 6, 0 = 5*i - 8*k + 12*k - 29. Suppose 3*g + 3*o = -15, g - i*o = 4*g + 23. Let b(r) = -3*r**3 - 1. Give b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -33*m + 165*m - 165 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7549.6796 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 11012?\nAnswer: -11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 5, a: 1, x: 6}. What is prob of sequence nx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s - 4. Let y = -1365 - -1363. What is i(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4095, 4115, 4135, 4155?\n\"Answer: 20*d + 4075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*k = 65, 178*k - 177*k + 70 = 4*i. Calculate the remainder when -142*(-3)\/6 - 1 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(7) - (sqrt(7) - sqrt(56)\/(sqrt(8) - sqrt(200)))) + -6*(-2 + sqrt(7))) + -5.\nAnswer: -25*sqrt(7)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 - -69. Let n be 1 - r - 5\/(-30). What is the third biggest value in -2\/5, 9, -5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = 12. Let v(c) = -6. Let g(a) = a + 5. Let k(r) = o*v(r) - 6*g(r). What is k(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 1. Suppose -3*t = -t - 14. Suppose -29 + 8 = t*q. Let b be q*(8\/4 + 5\/(-3)). Let y(w) = -1. Determine b*o(l) + 3*y(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7217416 millilitres to litres.\nAnswer: 0.0007217416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -668339\/5 - -134520. Which is bigger: j or 851?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 - 67*x + 8. Let v be i(-5). Calculate the greatest common factor of 390 and v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35324 is divided by 6909?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 112*x + 1293. Determine q(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-904)\/(-470) + 1)*(-42)\/(-378). Let g = 2\/235 + y. What is the closest to 2\/15 in 5, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 40607790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.63? (a) 4 (b) -2\/5 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 101. Let u(l) = l + 17. Let d(j) = -j - 17. Let f(x) = 6*d(x) + 7*u(x). Let c be f(h). Calculate the greatest common divisor of 52 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 26*c**2 - 92*c + 46. Determine y(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, 3, -2261, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3 + 2*x + 8 + 1. Determine f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41524 - 46384.8. What is r rounded to the nearest 10?\nAnswer: -4860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 5, 4, 3\/5, 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + (17 - (-24 - -31) - 2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 277924.60000116 - 277928.5. Let r = -3.9 - h. Round r to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*f = 15, 0 = -3*u - 0*f - 2*f - 7. Calculate the smallest common multiple of u and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 + -99. Suppose 2*l - 3*i - 67 = 0, 3*l - 35 = -2*i + a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 + -0.2. Let v = -0.31 - i. Let o = -22.2 - -18.2. Put v, o, 5 in decreasing order.\nAnswer: 5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - ((-52)\/(-6))\/((-2)\/18) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2015, 6803, 14373, 24719, 37835, 53715, 72353?\n\"Answer: -j**3 + 1397*j**2 + 604*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15540 - -5?\nAnswer: -15534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/12 + 3625\/20. Suppose 5*g - 4*c = a, c - 140 = -4*g + 3*c. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4865 is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30*40\/(-350) + 9\/(-21). Let b = 34 - 24. Suppose f - b = -f. Solve x - 16 = -4*q, 4*q + c = 5*x - f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/286 and 89\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*f = 1219 - 1228, f = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - 1222120?\nAnswer: -1221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 9*h**2 - 4*h - 7. Let v(r) = 2*r - 4. Let t be v(6). Let p be n(t). Let b be 1\/(-2) + 2\/4. Solve b = -s - 4*s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 2*j**2 + 3*j - 2*j**3 - 4*j - 3 as x*j**2 + m*j + s + n*j**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3200 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.31704 + -0.06096. What is l rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438699?\nAnswer: 3, 257, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-2)\/6*1). Suppose 0 = -a + 5*j + 17, j + j = -o*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 9 = -7. Which is the closest to -5\/4? (a) 4 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 11*k + 10. Let g be r(12). Let w be g\/(-15) - (-130404)\/45. Suppose 0 = 3*i + j - 3588, 3*i - 5*j - w = 672. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03907551 rounded to 5 decimal places?\nAnswer: 0.03908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {d: 6, c: 13}?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 1079079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1314 (base 11) to base 14.\nAnswer: 8a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.591659663 to five decimal places.\nAnswer: 0.59166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431366.\nAnswer: 2, 13, 47, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/10 + (-17)\/(-2). Suppose 11*a = 4*a - b. Let n be -15001 - 0 - 2\/2*a. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3\/7, -0.7, -8, 2731, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 1)\/((-18)\/(-27)). Let d be c\/2*(34 - 20). What is the common denominator of -53\/12 and ((-3)\/d)\/((-144)\/(-8344))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:52 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/135 - -56\/135. Let v = -17788 + 17788.2. Let k = 4.11 + -0.11. What is the closest to v in d, -3, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 32*r + 8. Let k be g(-5). Let n be (-4)\/18 - k\/36. Sort -2, 1, n.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 529 and 4?\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.543 + -2.333. Let k = 1.31 - y. Round k to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - a + 18. Let b(z) = -4*z. Let p(u) = 4*u. Let h(v) = -4*b(v) - 3*p(v). Calculate the lowest common multiple of h(2) and d(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*c - 97*c + 2*c**2)*(-4*c**2 - 90*c + 90*c).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {i: 1, y: 5, z: 3, g: 1, t: 1, a: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**3 + 9*z**2 - 14*z - 19. Suppose 0 = -36*i + 34*i + 10. Is r(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3709.04019 - 3709. Let c = i - 0.04. What is c rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/5 - (-12)\/(-15). Let d be ((-24)\/3)\/o + -301. What is d rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a tonne in kilograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -20\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 10*b**2 + 11*b - 1. Let w be 4\/18 - (-64)\/36. Suppose w*v - 3*v = 8. Is 13 a factor of n(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -3*f = -3*w + 5*w - 2860. Suppose -3*a = 23*a - w. Calculate the greatest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + r**2 - r**2. Let u(y) = -6*y**2 - 5*y. Let v(m) = -18*m**2 - 16*m. Let q(c) = -16*u(c) + 5*v(c). Calculate k(q(g)).\nAnswer: 72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/112*((-131000)\/(-2751))\/125?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125451245 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from oqqbcwcqqbwwwbqcqwd?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 - 9*b**2 + 30*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1299 - 114. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20561670*j**4 + j**3 - 5*j + 102425078 wrt j.\nAnswer: 82246680*j**3 + 3*j**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -13230*p + 2. Let d(x) = -29*x**2 + 1. Determine i(d(u)).\nAnswer: 383670*u**2 - 13228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 - 8 = 7*o. Calculate the remainder when 114 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 86*q**3 + 0*q**2 + 0*q + 168*q**3 - 2 - q**2 - 38*q**4 - 85*q**3 in the form w*q**3 + p + k*q + i*q**2 + d*q**4 and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 3*m**3 - 4*m**3 + 63 - 14*m - 9*m**2 - 66. Let t be w(-7). Solve -4 = 4*d - t*v, -3*v = -v + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9686304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1927828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005171 to four dps.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -21916000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23\/((3\/2)\/3).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, h: 1}. Give prob of picking 1 m and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t - 140. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 543161811 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10750*i - 1446*i + 35 - 35 + i**3.\nAnswer: i**3 - 12196*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 855\/2 - 426. Sort -5, k, 8, 1 in descending order.\nAnswer: 8, k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 6:43 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/12 - l**4\/24 + 4*l**2. Let o(c) = 9*c**2 - 2*c. Let n be (-9)\/6*30\/9. Give n*m(b) + 3*o(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*v - 36*v + 555 = -31*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19502, 19607, 19720, 19847, 19994, 20167?\nAnswer: 20372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 125 + 43 + 37 + 99*s**2.\nAnswer: 99*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9372 and 40128?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 7. Let x(o) = -o + 4. Let s be x(j). Let r = 25\/3 - 8. What is the closest to -0.1 in s, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -17 + 45. Let y be ((-6)\/6 - s) + (-5)\/1. Let l be y\/((15\/5)\/(-3)). Solve -12 = -2*v - l*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxaxxxaaa. What is prob of sequence ax?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.4 times -0.12743?\nAnswer: -26.174122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0866*0.1875.\nAnswer: -0.0162375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -3\/94?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7255024?\nAnswer: 2, 7, 211, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dlldlldlldlllldlllll?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 - -15) + (13 - 0). Solve -22 + v = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g**3 + 773*g**2 - 574*g - 385. What is t(-71)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 - (-2 + 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, 15, -3, -5 in decreasing order.\nAnswer: 15, 3, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862460549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1042*n**2 - 20*n + 9708. Let y(c) = -417*c**2 - 8*c + 3887. Let d(r) = 5*t(r) - 12*y(r). What is the first derivative of d(j) wrt j?\nAnswer: -412*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -759 - -752. Let i(v) = 7 - 2*v + 2*v - 3*v**2 + v + 6*v. Let y(f) = -3*f**2 + 6*f + 6. Give b*y(m) + 6*i(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3182\/148*(3 - (0 + 6) - 1). Which is smaller: p or -53?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/(3\/(-9)). Let o(k) = k**2 + 2*k**2 - k**2 + 3*k - h. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001231 (base 5) to base 10.\nAnswer: 468941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/3 + 2*i**2 + 405*i. Let t(z) = -17*z**2 - z - 17. Determine -9*n(p) - 2*t(p).\nAnswer: -2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 56. Suppose 5*p - 4*z - 676 = -0*p, -p + 3*z = -133. What is the remainder when p is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -264*p**2 + 120*p - 60. Let s(o) = 75*o**2 - 34*o + 17. Let d(r) = 17*c(r) + 60*s(r). Let m(y) = 2*y**2 + 3*y**2 + y**2. What is d(m(i))?\nAnswer: 432*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3270536.\nAnswer: 2, 408817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 12.\nAnswer: 19\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08793 - -679.21207. What is h rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2\/11, -3, 1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72 in -3\/41, -1.1, -1\/7, 0.5, 0.2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/(i**(2\/19)*i)))\/(i\/i**(-3)*i))\/(i\/(i*i\/i**(-1))*i**(1\/9)))**(-35) assuming i is positive.\nAnswer: i**(6020\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2 - (-16 - -33 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4*g - 3*g)*(-171*g - 233*g + 476*g + 2).\nAnswer: 144*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 60*q**2 - 320*q + 75. Give f(54).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 10:11 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 9:25 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94180 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -388956 and -388813 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.26 rounded to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2672730 by 27.\nAnswer: -98990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46060 is divided by 142.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**5 - 3*o**3 + 4*o**2. Let q(b) = b**5 - 2*b**3 + 5*b**2. Let p = 4 + -7. Let w(d) = p*q(d) + 2*j(d). What is the third derivative of w(k) wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, -5, -6 in decreasing order.\nAnswer: 17, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-1586)\/(-732)*9*(-2)\/(-2)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3 - (-1 - 1)). Suppose -m*c - j = -155, -2*c - 2*j + 232 = c. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52622, 105230, 157840, 210452, 263066?\nAnswer: 315682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5124)\/47824)\/(2\/84)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3631287 and 131386566?\nAnswer: 1445252226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-30)\/(c*c**30*c))**(2\/7) assuming c is positive.\nAnswer: c**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/16 in 1390, -3, -3\/2, 1\/7, -1\/3, 2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 45 = -5*k, -4*k = -3*d + 31. What is the least common multiple of d and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -1407, -2443, -3741?\nAnswer: -5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-18)*((-64)\/(-10))\/8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-546)\/(-52)*(-15)\/(-14))\/((-5)\/(-48)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/260*-2*(-286)\/(-2552)?\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 6. Let j be q(-6). Suppose 5*h = -7 + 17. Suppose j*s = h*s - 16. Calculate the remainder when s is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8822 - -1.62. Let l = x - 0.0378. Put 2, 9\/16, l in increasing order.\nAnswer: l, 9\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91679, -364244, -818519, -1454504, -2272199?\n\"Answer: -90855*i**2 - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9112 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.281 - -461.219. Let b = d - 463.497959. What is b rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {w: 3, g: 3, y: 3, b: 4}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -26. Solve -3*p = -2*x - 15 - z, -x = -4*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 - -4.9. What is the nearest to f in 2\/9, 2\/3, -33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -4, -1, 6 in increasing order.\nAnswer: -78, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 - 1922 = -64*k. Solve 0 = -52*o + k*o + 162 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 8*j + 24. Let h be m(8). Calculate the highest common divisor of 32 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217496 and 1612.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11948 is divided by 3977?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -1 - 3. Let n(c) = -2*c**2 - 1. Let o be n(m). Let f(j) = 3*j**2 - 2*j - 4. What is the tens digit of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m + 26*m + 21*m**2 + 3*m.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 78*p + 84. Let g be t(-40). Let v(j) = 10*j - 6. Calculate v(g).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.59 + -0.51. Let t = -0.64 + -0.36. Sort t, 4, 1, u.\nAnswer: t, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*v + 50 = 0, v = 47*n - 135*n - 1724 + 409 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8462.\nAnswer: 2, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1. Let y(k) = -k**3 - 12*k**2 - 29*k - 12. Let m(s) = -6*d(s) + y(s). Let v = -59 - -50. What is the remainder when 46 is divided by m(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1022\/5, -4, 81, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 4*b + 6. Let v be q(-4). Let a be 3 - ((-269)\/(-24) + 3\/v). Let z = -127\/48 - a. Calculate the common denominator of 14\/11 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 4*s. Let w(h) = h. What is 3*w(d) - z(d)?\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15726079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33843*s - 33836*s + 67668*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 42 (c) 0.05 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.744 millennia in years?\nAnswer: 544744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8895715 or -8895714?\nAnswer: -8895715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 322?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nenmiimemieivinnvvv. What is prob of picking 3 v and 1 i?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 11*l**2 - 11*l - 6. Let x(k) = k**2 + 5*k - 10. Let a be x(-5). Let y be u(a). Solve 4*q = y*z + 20, -10 = -5*z - 3*q + q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.3 - -31. What is the third biggest value in 0.2, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in 2\/9, -4\/5, 1\/5, 244?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341411.\nAnswer: 3, 447137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759?\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x**2 + 5. Let q be 4\/(-20)*(8 + -18). Let h(s) = 10*s**2 + 2. Give q*c(b) - 5*h(b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + l - 3*m - 38820015, -25879995 = 2*l - m. What is l rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z = 54*z + 187 + 177 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*k + k - 16, -2*k = 2*x. Let h(d) = 2*d**3 - k*d**2 + 9 - d**3 - 5 - d. List the prime factors of h(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46\/3, 1\/5, -1\/6, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 25 + 5. Suppose -3*t - 2*h - 10 = -6*t, u*t - 3*h = 13. Solve 0 = t*q + 12 + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/7 in 2, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178.1 - -178. What is the closest to 0 in y, -7\/16, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -5*b + 6*q, -714*q = -710*q + 8 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, -398607, -4 in increasing order.\nAnswer: -398607, -4, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 65*d + 949446 = -24*d. What is the ten thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2209 and -0.046.\nAnswer: -101.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -37. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 582?\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7697 is divided by 175.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)\/q**7)**(7\/11) assuming q is positive.\nAnswer: q**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 69*h**2 - 184*h + 17790. Give l(70).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -223, -462, -715, -988, -1287, -1618, -1987, -2400?\n\"Answer: -r**3 - r**2 - 229*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115670536 to the nearest integer?\nAnswer: 33402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*u - 24*u - 72*u to k*u + s and give k.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.23, 0, 15999 in decreasing order.\nAnswer: 15999, 2\/7, 0.23, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/8 - -2 - -2) + (23902\/(-3256) - -6)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 + 173. Which is the third biggest value? (a) w (b) -0.3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 58, 86?\n\"Answer: 28*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -60 (c) 5 (d) -0.7 (e) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21414406.\nAnswer: 2, 13, 19, 67, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 3*h**5\/10 - h**4\/6 - 16*h. Suppose 5*f - 3*z - 4 = 0, -f - f + 6 = z. Is x(f) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 95. Suppose -4*h - m*r = -7*h - 1, h = -3*r + 17. Solve 0 = -h*l - u - 23, l + 3*u + 3 = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -73.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*y - 4, -8 = -6*y - 14*y + 19*y + 5*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (767250\/(-405))\/(-110) + 2\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.65 + 18. Let d = x + 0.23. What is d rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 460 and 216?\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 375 = -g, a + 3*g - 29 = 68. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2114 and -20072 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369212042?\nAnswer: 2, 683, 270287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - 1*-1*sqrt(209)) - -3*sqrt(209)*-1)\/(4*sqrt(22)\/sqrt(2) + sqrt(275)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 + 331. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78.984 + -79. Let q = i - -0.016000123. Round q to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = r - 3*o, -238 = -3*r + 5*o + 264. Suppose 4*t = 6*t - r. Suppose -15*y + 12*y + t = 0. Solve 3*n - 3*p = -3, 3*n - y + 8 = -3*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3939 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.13 + 1.34. Let r = -36 + z. Round r to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505509 is divided by 177?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-30))\/(243\/(-162)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 9*g**4\/8 + 7*g**2. Let o(b) = -11*b. Calculate -5*l(s) - 12*o(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l - 8. Let d(w) = w + 4. Let p be d(0). Let z be k(p). Suppose 2*x - 84 = -y + 14, 0 = 4*x - z. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 20*v = -24. Suppose v*s + 59 - 111 = 0. Calculate the highest common divisor of s and 494.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 260 = -2*h + 14, 0 = -5*h + 2*z + 667. Suppose y + 0*y = 15. What is the greatest common divisor of y and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 7*i + 10. Let s be x(7). What is the first derivative of -10*y**2 + s*y**2 + 12*y**4 - y**4 - 3 wrt y?\nAnswer: 44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/(f**(-1\/2)\/f)*((f*f**2)\/f*f)**(7\/2) assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 1. Let d = -5 - -1. Let m = d + 3. Let z(r) = -2*r + 1. Let n(i) = m*z(i) - 3*p(i). Differentiate n(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7.6 (b) -1 (c) 3754\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 459*v**3 + 2*v + 0*v**2 + 457*v**3 + v**2 in the form p + a*v + f*v**2 + n*v**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**7\/840 - y**5\/60 + 2*y**2. Let u(q) be the third derivative of d(q). Let h(t) = -t**2. What is h(u(o))?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**6\/900 - u**4\/180 - 5*u**2\/2 + 5. Let w(f) be the second derivative of n(f). Suppose w(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1317*v**2. Let z(y) = 15*y. What is z(r(h))?\nAnswer: 19755*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 9*w**2 - 13*w - 7. Let n be p(-9). Suppose -4*j = n + 202. Let o = -78 - j. Is o equal to -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c = 85*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a - 27*a - 3*a + 16*a - 26*a.\nAnswer: -59*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2859*b**2. Let d(p) be the first derivative of -p**2 - 898. What is d(u(t))?\nAnswer: -5718*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103522049731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87795 and 1260.\nAnswer: 2458260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/24*-1*(-6)\/(-2).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2016\/(-2268))\/((-8)\/174) - (-5 - -24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 77, 169, 261, 353?\n\"Answer: 92*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 695, 1418, 2403, 3656, 5183, 6990, 9083?\nAnswer: 11468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-30) - 2\/(-6). Let j = 0.39 + -0.79. What is the smallest value in j, 3\/2, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 2, w: 4, q: 3}. Give prob of picking 1 q, 1 d, and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -1\/4, -6488, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)\/((h**7\/h)\/h)*h**(6\/7)\/(h*h\/(h**(3\/5)*h)) assuming h is positive.\nAnswer: h**(-89\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*g - 0. Suppose 5*w - r = 489, -g*w - 387 = -20*w + 5*r. Put w, 4, -5 in decreasing order.\nAnswer: w, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 4 + -17 + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247092 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 10:51 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -8478858.\nAnswer: -8478858.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7696377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwwwdwqdwldwwnwdw. Give prob of picking 2 n.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**5\/20 + b**3\/2 - 2*b + 2. Let v(m) be the first derivative of o(m). What is the second derivative of v(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let m(u) = -6*u**2 + 3*u - 1. Let j(w) = m(w) + 2*z(w). Let g(r) be the first derivative of j(r). What is the units digit of g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + (-4 - -4). Suppose -4*r + 3*y - 53 = 0, -5*r - 68 = -g*r - 2*y. Let o be 764\/28 - (-4)\/r. What is the greatest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*w - 57 - 21 + 27*w - 57 + 25*w as i + n*w and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-45)\/(-18))*48\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2*m*(m\/m**(2\/29))\/m*((m*m*m\/m**(-1\/4)*m)\/m)**(2\/7) assuming m is positive.\nAnswer: m**(1567\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 7\/9 (c) 5 (d) 5\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22354082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*t - 50276 = 103*t - 15276 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -719.4 - -711. Let n = u + 5.4. Which is the second smallest value? (a) 23 (b) n (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4\/5 - 991839*s**3\/5 - 9*s**2\/5 + 2975523*s\/5 - 1983678\/5 = 0.\nAnswer: -2, 1, 330613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 54\/(441\/98 - 73\/6).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q - 10 = 0. Let r(i) = 940*i**2 + 974*i**2 + 888*i**2 - 2631*i**2. Let d be r(q). Round d to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1604*p**3 + 201*p + 410. What is the tens digit of z(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 18. Let j(l) = 3*l - 120 + 28 + 27 + 31 + 31. What is the tens digit of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -30, 4, 3 in increasing order.\nAnswer: -30, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4}. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*g - 275 = 2*d + 620*g, 2*d + 15 = -5*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*u + 4*u - 4*u + 4*u**3 - 5*u wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1928\/14 - (-4)\/14. Let g = 201 - m. Suppose o + l = 15, 4*o - 100*l + 96*l - 68 = 0. Calculate the remainder when g is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3112321*d**6 - 3*d**2 + 7561*d + 70.\nAnswer: 373478520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15662 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 8*k**2 - 7*k + 12. Let u be m(7). Suppose -120 + u = -4*x. What is the greatest common divisor of 81 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -t - 3*y, -1341*y = -4*t - 1339*y + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-20))\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -53\/2. What is the nearest to n in 6, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 - 53715*r**4 + 144184470*r**3 + 432875750*r**2 + 432983205*r + 144345645 = 0. Calculate r.\nAnswer: -1, 5373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -258.7 - -44.7. Let z = 0.034 + 187.866. Let k = z + i. What is k rounded to 0 decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*(2*sqrt(110)*-1 + sqrt(110)))\/(-4*sqrt(640)*-5) + 0))**2.\nAnswer: 11\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1245 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -46. Suppose -i*o + 19 = p - 1, 0 = -2*o + 4*p - 10. Let x(v) = 4*v**2 - 17*v + 4. What is the remainder when 56 is divided by x(o)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + 11. Suppose -3*y - 80 = -5*m - 289, -y = -m - w. Suppose -u = -y + 19. Calculate the remainder when u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403398 divided by -9\nAnswer: -44822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 252367 divided by 242\nAnswer: 252367\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 8:07 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60044*s**5*y**3 + 3*s**3*y**3 + s**2*y**3 - s**2 + 2376*s*y**2 + 2*s wrt s.\nAnswer: 3602640*s**2*y**3 + 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cttccctcctccttccctc. What is prob of picking 2 t and 1 c?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 0.58. Let p = -0.18 + k. What is the closest to -2\/5 in -4, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58192 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**5 + 294*q**4 + 19884*q**3 - 1300326*q**2 - 1319913*q = 0.\nAnswer: -73, -1, 0, 49, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147447210.4999961 + 147447198. Let n = y - -12.5. What is n rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g**2 - 3 - 13*g**2 + 1 to the form l*g + t + w*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8994658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1060.96695 + -1061. Round h to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2878 by 1439.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 97 in ascending order.\nAnswer: 1, 7, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*l - 3*z, 0 = 4*l - z - 12 + 1. Let j be 22 - (1 + -3 + l). Suppose 0*r = r - j. What is the least common multiple of 6 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4\/48 + 65*o**3\/12 - 2*o - 7688. What is l in a(l) = 0?\nAnswer: -130, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390903?\nAnswer: 3, 229, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -61*u - 41. Suppose -11*a - 596 = 702. Let w = 114 + a. What are the prime factors of c(w)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*j**4 - 455*j**2 - 787*j**2 + 3512 - 3512 wrt j.\nAnswer: 1656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 1020*j**2 + 4032*j + 4016.\nAnswer: 4*(j + 2)**2*(j + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiiiiiiiiuiiiiiii.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550 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: Put together -0.48587 and 89871632.\nAnswer: 89871631.51413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u - 16 = 40*u - 5*n, 5*u + 4*n + 61 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -11*d**3 + 46*d**2 - 52*d + 8 = 0.\nAnswer: 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234240578.\nAnswer: 2, 3, 7618769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10941825 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -771717, -771728, -771739, -771750?\n\"Answer: -11*j - 771706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 338606 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/754 and -5\/9.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 590567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 890, 1674, 2354, 2930, 3402?\n\"Answer: -52*y**2 + 940*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -11017 (c) 0.1 (d) 2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562195 is divided by 8781.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-1) - -161 - 0. Suppose 3*d - r = -2*t, -d + t + 49 = -0*d. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -137, -142, -147, -152, -157?\n\"Answer: -5*r - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 918 and 1527\/3*(-7)\/(-7) - (2 + -3).\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 4:45 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 741\/23 - -12525\/46. Let m = -519 - -824. Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)*h)\/((h**(-1\/2)*h)\/h*h))\/((h\/(h**(6\/5)\/h))\/h**(-2\/29)))\/((h**(-2\/17))**50)**(-12) assuming h is positive.\nAnswer: h**(-359679\/4930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -2 (b) 0.3226 (c) 11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56885 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 153?\nAnswer: -5\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*a + 161*a + 96*a + 81*a to r*a + p and give r.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 14000159*b\/3 - 14000162.\nAnswer: (b - 3)*(b + 14000162)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - 16*n - 3. Let t(a) = a**2 + 5 + 70349*a - 4 - 70350*a. Determine 3*t(q) + w(q).\nAnswer: q**2 - 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = 51594*s - 51589*s - 3*m, 3*s + 5*m - 71 = 0 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 35. Let x be (-6)\/(-2*y\/(-6)). Suppose x*s - 10*s = -324. What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-5\/4)\/(u*u*u\/(u**(1\/4)\/u)*u*u)**(-44)*(u**(-4\/5)\/u*u**(-7))**(-20\/3) assuming u is positive.\nAnswer: u**(3725\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 354\/(-45) + 14\/(-105). Let b be n\/(-40) - (-174)\/30. Solve 2*j + 0 + b = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-692)\/(-28) + 10\/35. Suppose 21*o = k*o + 20. Let q(y) = -2*y**2 + 8*y + 3. Let n(a) = -3*a**2 + 15*a + 5. Let s(t) = 3*n(t) - 5*q(t). What is s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25*(70\/25 + -3). Solve j*n - 5*b = -0*b - 25, -5*n + 11 = 4*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f. Suppose f = -l + 3*l - 4, -74 = -4*v + 5*l. Suppose 4*s - v = 103. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d - 3 = 0. Suppose -f + 1 = -d. Calculate the remainder when (4760\/700)\/((-27)\/15 + 2) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a. Let r(m) = 1. Let q(w) = -w. Let i(f) = -7*f - 5. Let c(k) = i(k) - 6*q(k). Let o(n) = -c(n) - 5*r(n). Calculate z(o(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.074*-0.02\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/59, 1, 1726?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/105*35\/10*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37452 and 28089.\nAnswer: 112356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + (-21)\/(-12)*12. Suppose 245 = -3*r + 8*r. Suppose r = -q*t + 139. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*9\/306?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-125)\/50 + 669\/(-6). What is the nearest to r in 1, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-14)*((-36)\/21)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -45*f**3 - 13*f**2 + 13*f - 19. Let q(j) = -23*j**3 - 6*j**2 + 6*j - 9. Determine -6*o(c) + 13*q(c).\nAnswer: -29*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*q + 180*q + 416 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p - 2 + 13*p - 2. Let u be o(10). What is the greatest common factor of 272 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242972738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4425452?\nAnswer: 2, 1106363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/((-100)\/(-15))*6066. Suppose -29*y + 20*y = -q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56784 and 2028?\nAnswer: 56784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkkv when four letters picked without replacement from {g: 1, t: 2, a: 1, w: 1, k: 2, v: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -175790, -353230, -530668, -708104, -885538, -1062970, -1240400?\n\"Answer: u**2 - 177443*u + 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 4 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/140*-4)\/((-30)\/42)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -2245?\nAnswer: -2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/5 - 4*d**3\/5 + d**2\/5 + 4*d\/5 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/7)\/(-10 - -11). Let k = 3 - 2.7. Let r = 3 + -2.9. Which is the nearest to r? (a) 4 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32\/3829 in 0.09, 7, -2\/7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 673776.936 + -3?\nAnswer: 673773.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.07\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -77, -145, -235?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 1002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3 = 3*g, 0*g - 4 = 2*f - 4*g. Suppose -14*h + 4*h - 1290 = f. Let d = h + 257. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/((-2)\/(-60)). Suppose 3*x = -2*t + 65, -5*t + 105 = 4*x - 68. Suppose 19*c - 39 = t. Solve -2*j = 0, -c*l - 2*j - j = z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)\/(u*u**(1\/9)*u))**(-2\/171) assuming u is positive.\nAnswer: u**(29\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**5 - 3*q**5 + 0*q**5)*(3 + 4 - 3)*(-2 + 1 - 1)*(-135 + 10 + 27).\nAnswer: 784*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -5, 4, -13, -1\/6, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(8) + sqrt(8) - sqrt(8)) + (sqrt(392) + 1)**2.\nAnswer: 16*sqrt(2) + 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 22563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5 - 128*w**4 - 12*w**3 + 752*w**2 + 1018*w + 384 = 0. What is w?\nAnswer: -1, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1929486 minus -186370.64?\nAnswer: -1743115.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 8281059338866*s + 4*s**2 + 8281059338866*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1675960 and 98043660.\nAnswer: 196087320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39002, -39003, -39004?\n\"Answer: -q - 39001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -807 divided by -3\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9087098?\nAnswer: 2, 4543549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11430307 divided by -119?\nAnswer: 96053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q**2 + 5*q + 5. Let n(v) = -14*v**2 - 6*v - 6. Give 5*n(k) + 6*o(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 54*n. Let d(m) = -67*m - 32*m + 98*m. What is d(v(b))?\nAnswer: -b**2 - 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-1 - -2)*-1. Suppose 2*y = 4*f - 8, -2*f = -5*y - 0 - 4. Solve y = q - 4*i + i - 12, j = -5*q - 5*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 22. Let f be 3\/(-2)*(-2 + 0). Solve 15 = f*t - a*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5 - 47*p**4 + 279*p**3 + 47*p**2 - 280*p = 0 for p.\nAnswer: -1, 0, 1, 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*t = -35, b = t + 3 + 7. Suppose -3*l - a = -13, -b*a - 1 + 6 = -5*l. Solve l*z = -n, -4*z - 2*n = n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 2. Suppose -6 = -t*f - 0. Suppose -u + f*i = -i, -2*u = 5*i - 13. Solve -4*v + u + 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 1669854.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 0.2, 0.5, -3\/8, -0.2, 31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -5. Let m = -1.2 - f. What is the closest to -1 in -2\/3, m, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i**2 - 9*i. Let d = -1415 - -1419. Let m(x) be the second derivative of -x + 1\/6*x**d - 1\/3*x**3 + 0 + 0*x**2. Give 2*h(z) - 9*m(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380613 divided by 1?\nAnswer: -1380613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9820 is divided by 2850?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142\/6 + (-2)\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*m - 37919975 = 0, -4*m - 7 + 27 = 0. Round d to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 207*s - 106. Determine d(-8).\nAnswer: -1762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -918 divided by 459.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f**3 - 9*f**2 - 11*f - 9. Let o(s) = -6*s**3 + 4*s**2 + 5*s + 4. Let y(j) = -9*o(j) - 4*p(j). Find the second derivative of y(c) wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 23. Let p(k) = k**3 + 4*k**2 + k + 1. Let i(g) = -3*g**3 - 13*g**2 - 3*g - 4. Let s(d) = -2*i(d) - 7*p(d). What is s(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508 and 152400.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 3, e: 4, c: 3, j: 2, q: 6}. What is prob of picking 2 m and 1 c?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2269 - -1?\nAnswer: -2268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*o**3 - 58*o - 12*o**2 - 460*o**3 + 229*o**3 as j*o**2 + i + d*o + c*o**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1705*l + 1713*l - 3418*l - l**2 + 1 + 0*l**3 - 2*l**3 - 192*l**4 to i + f*l**3 + q*l**4 + b*l + k*l**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p. Let c(n) = 864*n**2. What is c(s(m))?\nAnswer: 146016*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11562\/(-25380)*360\/(-16).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -181737*y - 545209. Give g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Suppose 1 = -h*b + 19. Suppose -b*p = -p - 2*k - 71, -5*p - 2*k + 79 = 0. Calculate the greatest common divisor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a - 14. Let h(p) = p + 8. Let k(n) = -5*h(n) - 2*w(n). Calculate k(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**2 - 8*s + 8. Let d(x) = -x**2 + x - 1. Let r(z) = 12*d(z) + t(z). Let u(g) = g**2 - g + 1. Calculate r(j) + 3*u(j).\nAnswer: -j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + -32 + 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20400 from 12.89.\nAnswer: 20412.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13001 - 4?\nAnswer: -13010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -17, 1, -12.7, 3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -2, -2\/15 in increasing order.\nAnswer: -2, -1\/7, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 - 12 = v, 4425*v - 24 = 4415*v - 4*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 20 = 3*x + 3*t, 0 = -x + t + 18. Suppose -x*d = -15*d - 7585. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (14 - 2) + -3. Let q = -8 + 13. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22, 97, 220, 391, 610, 877, 1192?\n\"Answer: 24*x**2 + 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(108) - sqrt(108)) - ((-2*sqrt(108) - sqrt(108)) + sqrt(108))*-4)\/(sqrt(864) - sqrt(54) - (sqrt(486)*-4 - sqrt(486))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -5\/3 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16014*m - 2. Let l(z) = 3*z. Calculate l(t(r)).\nAnswer: 48042*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*w + 7*w + 87*w + 74*w + (1 + w - 1)*(-3 - 2 + 3) to the form z*w + y and give z.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3836\/23 + 285957\/1702. Find the common denominator of a and 27\/17.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639134356 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 418553260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/19 + 293600*j\/19 - 587208\/19 = 0.\nAnswer: -146802, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 395002?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*p*x**4 - 2*p*x**2 - 8*x**3 + 17*x**2 + 3*x wrt x.\nAnswer: -168*p*x - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17671101, 35342202, 53013303, 70684404?\nAnswer: 88355505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 2*y**2 - 2*y + 1. Let o be u(-1). Solve 44 - 43 = l - 3*s, 0 = -l + o*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - ((21 - 15) + 4)) + -5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 12 (c) 3 (d) 0.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -41*(-2448)\/11808*20\/17*(-2)\/(-52)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 898 - 892. Suppose -o*a + 2328 = -53694. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 24*f - 17. Let t be n(13). Let v be 2*t\/(-6)*40\/(-15). Suppose -v*j - 136 = -12*j. Calculate the greatest common factor of 272 and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6036 (base 10) to base 6.\nAnswer: 43540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 598460*j - 598641*j - 11222 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*k**4 - 409*k**3 + 9*k**2 + 25*k + 9?\nAnswer: -528*k - 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*t - 4*q, -2*q = -2*t - 0*q - 4. Which is bigger: t or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**2 - 208. Let v(r) = 303*r**2. Determine a(v(u)).\nAnswer: -606*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228 - 432. Let t be (-3)\/(-5) - n\/25. Let b = t + -26. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.396 + 296.396. Let x = 295.99999684 - h. What is x rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(60\/58 + -1). Let a = c - -33. Solve -b + 2*b - 2*i - 7 = 0, -a*b = -5*i - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -503 in 5\/4, -2\/9, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 156*b - 14. Let j be a(14). Suppose 0*o + o + 5*y = 446, 5*o - j = -5*y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-5*(sqrt(170) + -2*sqrt(170)))\/sqrt(10) - (5 + (1*sqrt(136))\/sqrt(8))))**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 1 - 8. Sort -1, k, -4 in ascending order.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75950507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -201?\nAnswer: 201.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(2\/17))\/c)\/c)\/c*c**4*c assuming c is positive.\nAnswer: c**(49\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33417868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 - 58*y + 49. Calculate the least common multiple of 3324 and r(11).\nAnswer: 13296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1194 + 1196. Solve -j*h + 0 = 4, -h = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -9. Let m = 7 - -20. Let b = -27.06 + m. What is the nearest to 1\/2 in -1\/3, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1 + 3*b**2 + 11 - 18 + 15.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 230181 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 + 20*m + 17. What is the hundreds digit of o(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6275 divided by 1255\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvvuvdvdddlvusudavv. What is prob of picking 1 a, 1 d, and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -14828, -3, 5\/3 in increasing order.\nAnswer: -14828, -3, 0.9, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 11*v - 8. Let u be g(9). Let c be u*(-2)\/(4\/(-1)). Let f be 1\/((-7)\/(-2) + -1). Which is bigger: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67107686 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33\/53 + 2633\/1590. What is the common denominator of c and -13\/99?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 31*g - 30*g + 4*w, -4*g - 3*w + 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 94 = y + 91, 0 = 2*y + 7*l - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 4. Suppose 0 = 2*k - t*k. Suppose -4*w - 12 = k, 4*m - 1 + 10 = -3*w. Solve -2*r - 2*r - 12 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*j = 41*j - 27*j - 18573 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43339107 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -5. Factor 20*r**3 - 2 - 20*r**2 + 9*r + r - 1 + 1 - w*r**4 + 2*r**5.\nAnswer: 2*(r - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-3)\/((-189)\/(-3)). What is the nearest to 3\/11 in w, 3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1)\/(-4 + (-90)\/24). Is -1 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450353219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11230 (base 5) to base 6.\nAnswer: 3435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-12) + 15\/3 + -2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/(-51))\/(20\/(-45)). Which is the closest to 1? (a) -0.05 (b) s (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 7*l + 30. Let x be n(-7). Suppose 5*y = 2*f - 6*f - x, -y - 3*f = 18. Is y*(-30)\/14 + (-1)\/7 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27033?\nAnswer: 3, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -24412?\nAnswer: -24422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5)\/((t\/(t*(t*t**(1\/7)\/t*t*t)\/t*t))\/t))\/(t\/(t\/(t\/(t*t**1*t*t))))**(1\/26) assuming t is positive.\nAnswer: t**(2783\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let b(w) = w**s + 54*w - 54*w. Let a(p) = 4*p. Calculate a(b(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11162 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -50?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16855219?\nAnswer: 53, 318023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 3*j + 3*j + (0*j**3 + 3*j**3 - 4*j**3)*(0*j**2 - j**2 + 2*j**2) + (17 - 17 + 6*j**4)*(1 - 1 - j) + 3*j**5 - 4*j**5 + 0*j**5.\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 13*a**2 + 4*a + 9. Let i be s(9). Is 1\/4 + i\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157976671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 5*q**2 - 7*q - 2. Let j be g(-6). Let a be (-1)\/((-4)\/8) + j. Suppose -3*y = -a + 3. Sort -2, 5, y in increasing order.\nAnswer: -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**5 + 4*l**3 + 3*l**2. Let v(q) = -q**3 + q**2. Let h(y) = -4*v(y) - w(y). What is the third derivative of h(p) wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -49, 3, 2, 1, 10, 4 in decreasing order.\nAnswer: 37, 10, 4, 3, 2, 1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 2*q**7\/21 + 22*q**6\/15 + 34*q**5\/5 + 46*q**4\/3 + 58*q**3\/3 + 14*q**2 + 136*q + 4. Determine g, given that l(g) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 14*f**2 - 2. Let x(m) = 3*m - 42. Let h be x(9). Let l be v(h). Let i = l + 413. List the prime factors of i.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 1. Let o be j(-1). Let a = -4 + o. Let z = a + 12. Solve z = y - 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 j, and 2 w when four letters picked without replacement from cwcjcpppwwpwccppcw?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*z - 16, 24 + 14 = -4*i - 3*z. Let m be i\/(-20) + (-8)\/45. What is the nearest to m in 3, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3 + (5 + 1 - 4)*(-2 - 2 + 2))*(-1488 + 1488 - 36*m).\nAnswer: 324*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 484329 and 8233593?\nAnswer: 8233593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 356077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -582 - -579.27. Let w = 2.51 + u. Round w to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -438*h + 5. Let d(w) = 2. Calculate -2*d(b) + x(b).\nAnswer: -438*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.270616 rounded to 1 dp?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/34116 and -3\/159208.\nAnswer: 477624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**2 + 11*j**2 + j**3 + 6*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 7. Let l be m(4). Suppose -l*o + 6 = 0, -8*b + o = -4*b - 6. What is the remainder when (((-148)\/(-5))\/b)\/((-1)\/(-5)) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-10)*44\/6. Let b = c - 4. What is the highest common factor of 35 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1480 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zss when three letters picked without replacement from szzsssszsszzs?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -79 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 24*s + 62. Let z(f) = -6*f**2 - 37*f + 9. Let x be z(-7). Let g be n(x). Sort 6, 0, g in descending order.\nAnswer: g, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -3, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Solve 4*v - 12 = 4*i, 0 = 6*v - 4*v + l*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.9 + 2.9. Let b = f + 18. What is the third biggest value in b, -5, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from rwrrrrwrwrwrwrwwrwwr.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -259. Let j = 164 - f. Let l(a) = -a**3 + a**2 - a - 3. Give l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/10 - j**4\/4 - 7*j**3\/6 - 3*j**2 + 201*j - 3. Let m(i) = i**3 + 2*i**2 + 4*i + 3. Calculate 7*m(c) + 4*q(c).\nAnswer: -c**3 + 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 5*h + 7, -3*h + 3 = 3*u - 0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 0.12, 483 in ascending order.\nAnswer: -2, 0.12, 10, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a98576 + -12?\nAnswer: -5a98588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/35)\/(q\/(q**37\/q)))\/((q**(5\/8)\/q)\/q*q\/((q**40*q)\/q)) assuming q is positive.\nAnswer: q**(21121\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 8 = 4*g. Let u be (g + -1)\/(9\/(-12)). Suppose u = 2*b - 0. What is the closest to -1 in 2\/17, -4\/3, b?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 - -5. Let l = j + -3.4. Which is the third smallest value? (a) 0.2 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0 + 85. Let p be (-134)\/m - (-130)\/1105. Solve p*c - 4*c + 8 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20*-4)\/(1\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36160852.\nAnswer: 2, 7, 13, 41, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 + 2*u - 10. Let r be z(-4). Let v = r + 174. Calculate the highest common factor of v and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302414629 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 46. Let s be z(12). Suppose 2\/3*t - 1\/3*t**s - 1\/3 = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 66132236 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + c**2 - c - 19. What is l(-4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36526 = -1768*a - 1703*a - 78017 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62061807\/76 - 816590. Let n = 142\/19 - o. Find the common denominator of 127\/6 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76628+0.054052\nAnswer: -76627.945948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/72*(-14)\/(-20) + 54\/(-24))*102?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 9)*((-228)\/110 - (-174)\/(-145))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -147.6 * -17718\nAnswer: 2615176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/10 + 96\/10. Suppose -96 - 14 = -11*c. Differentiate 15*n**2 + 3*n**2 + q - c*n**2 with respect to n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -1. Suppose -4*p + i = p. Find the second derivative of 2*b**2 - 3*b - 2*b**2 + 6*b**2 + b**p wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1677 + -1672.863. Let c = 0.037 - w. Let o = c - -4. What is the closest to -1 in o, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -0.4 (c) 39\/197 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.5 or -9138211?\nAnswer: -9138211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/16*4\/(-6). Let c = -1113.4 - -1113. What is the third smallest value in j, 0.4, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 = -4*s + 39, 0 = 3*s - 4*t - 12. Solve s*g = 12*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/69? (a) -4\/3 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 7117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1022620)\/(-80) - 10\/(-8). Suppose -21*q = -5*q - p. What are the prime factors of q?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a67 - -5?\nAnswer: a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - 2.95. Let y = -16\/6253 + -12426\/31265. What is the second smallest value in -2\/7, j, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93048337 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i + 18*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*95\/(19285\/174)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1) + -1 + 1. Let d be (-2 - a)\/(0 - 1). Suppose -5*b = -z + 63, -d*z - 2*b = -5*b - 119. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11295.\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -53*t**4\/12 + 7*t**3\/3 - 947*t**2 - 3342*t. What is the first derivative of q(z) wrt z?\nAnswer: -106*z + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37685212127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/14)*v\/(v*v**(-22)))\/((v\/v**(-8))\/v*(v\/v**(4\/17))\/v) assuming v is positive.\nAnswer: v**(3337\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2499 + 2500. What is the nearest to 2 in 17, 2\/11, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2727 - 0.0273. Let b = 9.3 + v. Sort b, -0.02, -0.4 in ascending order.\nAnswer: -0.4, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 130903 = -18*k - 5*h, 0 = -4*k - h + 30800. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 3*n. Suppose n*a - 66 = 54. Suppose q = -z - 2*q + 4, 0 = -5*q - 15. Calculate the remainder when a is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c - 35673 = 58*c. What is the remainder when c is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:31 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*j = -23, -3 = 4*y + j - 21. Suppose -y*t + 15 = -5*g, -1 + 4 = -3*g. Let k = 6 - t. Sort k, -3\/8, 3.\nAnswer: -3\/8, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 1, a: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1271*d**2 + 7*d - 2. Let j(u) = -1265*u**2 - 8*u + 2. Determine -5*j(p) - 6*y(p).\nAnswer: -1301*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3463707\/5 + 690060. Is h greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -68, 0, -2.94, 3 in decreasing order.\nAnswer: 5, 3, 1, 0, -2.94, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 + 5. Let g(a) = -2*a**3 - 8*a**2 - 14. Let u = 13 - 12. Let x be ((-2)\/u)\/(10\/15). What is x*g(r) - 8*k(r)?\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 14 = 11. Put 4, -4, x in ascending order.\nAnswer: x, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791312 is divided by 52484?\nAnswer: 4052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/(2 - 1). Let r = -2 - -2. What is the nearest to r in i, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 6 = 24*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y - 4*v = 0, 0 = -3*v. Find the common denominator of 1358\/(-196)*(1 + y) and -67\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -916 + 950. Calculate the lowest common multiple of 36 and b.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.505 less than -708.2286?\nAnswer: -709.7336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-69)\/(-10))*4\/(-30)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4732517 to the nearest integer?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -4*o**5\/3 + 109*o**4\/6 + 26*o**3\/9 - 22*o**2\/3 - 314. Let u(i) = 0. What is i?\nAnswer: -1\/2, 0, 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/189 - 43*h**6\/135 - 161*h**5\/30 - 49*h**4\/6 - 1416*h. Determine x so that k(x) = 0.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2626843*x**3 + 2626739*x**3 - 5253573*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 121 = 111. Suppose -2*a + 11 - 5 = 0. Suppose -5*g + z + h = 0, -10 = -a*g + 2*z + 13. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 2. Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -34*n**2 - 17. Let a be (-27)\/4 + 2\/(-8). Let v be i(a). What is the tens digit of v\/34*(-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*n + 28, 3*b + 270*n - 267*n = -37 + 64 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 2*j**3 - 2*j**3)*(-2*j + j + 2*j)*(2 - 9 + 6).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 6*c. Suppose 4*v + 5*z = 506 + 550, 5*v - 4*z - 1361 = c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*g - 3 - 1 + 25*g + 30*g as f*g + l and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e8 + -275d?\nAnswer: -2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:58 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 - 4*b + 15. Calculate k(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1072)\/(-2) - (-3 + 9). Let x = c - 366. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 20 + 20. Calculate the remainder when l is divided by 1*(-2)\/2 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k**5 - 209*k**4 + 2456*k**3 - 2252*k**2 - 10528*k + 3136 = 0 for k.\nAnswer: -14, -7\/4, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + (-123 - (-26 - 15))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = d + 3*d - 15, -2*d - g = -11. Let m = 0.05 + 0.15. Sort d, m, -0.2.\nAnswer: -0.2, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -61. Suppose -9 = -o - p*k, 0*o - 5*k + 7 = -3*o. Is (o - -3) + (-7 - -134) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1. Let q = f - 0. Let o = -0.1 - -0.2. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1367, -2733, -4099?\nAnswer: -5465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/4068*-20*(-522)\/(-1305)\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409385.\nAnswer: 5, 11, 71, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(0 + 0 - 2*g) + 3*g - 3*g - 2*g + (-3 + 1 + 4)*(5*g + 20 - 20))*(0*g + 0*g + 3*g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-325))\/((-4)\/(-50))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.031 (b) 1 (c) -5 (d) -6 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322235 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 43. Solve f = g*y - 2*f + 32, f = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 7*s - 5. Let g be t(-7). What is the closest to 2\/7 in 1, g, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. What are the prime factors of g*(-1 + (-8)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 406925426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1\/(-97)*-1). Let y(w) = 9*w**3 - 2*w**2 + 2*w - 3. Let d be y(2). Let z = k - d. Solve 0 = 4*m - 4*f + z, -3*m + 6*f - f = 34 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22838113 from -0.021.\nAnswer: -22838113.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 503395678 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)*(a**(-3)\/a)\/a)**(-2\/27)*a**6\/(a*a\/(a**(1\/6)*a))*a**(-5)*a\/(a\/(a\/(a\/a**7*a)))*a*a assuming a is positive.\nAnswer: a**(1379\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/12 - 17*b\/12 + 13\/3.\nAnswer: (b - 13)*(b - 4)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and -3 - -30 - 2\/(-4)*-6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9642.7 and -17?\nAnswer: -163925.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(5*(0 + 1*sqrt(2299))**2 - 1*(4 + -2*sqrt(2736))).\nAnswer: 144*sqrt(19) + 68948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -577 by -61493.\nAnswer: 577\/61493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-1 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*t)*(3 - 2 + 0) + (4*t + t - 4*t)*(-6 - 8 + 16).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*v - 21*v + 704. Suppose 20 = -7*o + 2*o. What is the remainder when v is divided by (-5)\/(10\/o) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/20101 or 1?\nAnswer: -2\/20101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138429 by 166.\nAnswer: -138429\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*u**3\/7 - 18*u**2\/7 - 3*u - 4\/7.\nAnswer: (3*u - 4)*(3*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**2 + 237*p - 48.\nAnswer: 3*(p + 16)*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. Calculate the lowest common multiple of p and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**2\/2 - b + 2. Let k(t) = -87*t - 89. Let d be k(-1). Determine c(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n - 34*n + 15*n**2 - 6 + 99 + 16*n**2.\nAnswer: 31*n**2 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-87)\/(-232) + 7 + 5\/((-160)\/236)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 14. Solve 2*j + t*j = 4*o, 5*j = -o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02104561254 to 6 dps.\nAnswer: 0.021046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggtabygybggg. What is prob of sequence gbbg?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 7901 = -13743. Let c = l - -15276. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.44615 to 1 dp.\nAnswer: 76.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 2461a53?\nAnswer: 2461a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(133))\/sqrt(7) + (sqrt(171))**2 + 4 - -1*(sqrt(475) + (sqrt(475) + sqrt(475) + 4)**2).\nAnswer: 84*sqrt(19) + 2091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9275.\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 5*g - 1. Let h be s(4). Suppose 0*f - 7 = -5*f - d, h*f = 4*d + 18. Factor -5*w**2 - 1 + f*w**2 + 4*w**2.\nAnswer: (w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 4*u. Let c = 3333 - 3318. Calculate the smallest common multiple of c and g(4).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbvvbbbbvbb. Give prob of picking 1 b and 1 v.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1454 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-9)\/(-6))*6. Suppose 66 = y*q - 46. Let i be q\/20 + 4\/(-10). Is -2\/7 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-4)\/(-9)))\/(-644*127\/(-420624)).\nAnswer: 81\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/18*(-16182)\/899?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -2\/13 (c) -1\/2 (d) -68 (e) -6.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17404 is divided by 295?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bdc15 (base 14) to base 10.\nAnswer: -998443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1982 and 24?\nAnswer: 23784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.93 + -0.07. Let a = -2.9 - t. Let k = 6\/7 + -25\/21. Which is bigger: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w**2 - 13*w**2 - 13*w**2 - 19*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 22 = -3*a + 2*a, -8 = a + b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idxdjirjdiii. Give prob of picking 2 d and 1 i.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, 165, -0.2, -0.1.\nAnswer: -0.4, -0.2, -0.1, 4, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 1620, 3729, 6684, 10485, 15132, 20625?\nAnswer: 26964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 69?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/((-1)\/(-1) - (2 + -3)). Let p(x) be the first derivative of 2*x**2 + 1\/3*x**6 - 12 + 0*x + u*x**4 - 2*x**5 - 14\/3*x**3. Factor p(d).\nAnswer: 2*d*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 461\/7 - 66. Which is the closest to s? (a) 5\/2 (b) -1\/8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 68 (b) -0.033 (c) 0.087 (d) 0.3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 28 + 42 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3906 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 61\/3*3 - -3. Which is greater: 61 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 29014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400 = 86*l - 35 - 855 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/16 and -61\/38882?\nAnswer: 311056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeey when four letters picked without replacement from eyehyhhehhey?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6754*x**3 - 127*x**2 - 319*x**2 - 368*x**2 - 1 - 1873*x**2 wrt x?\nAnswer: 40524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209 and 2945.\nAnswer: 32395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.2 (c) -524\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -774*a**5\/5 + 169*a**3 - 659. What is the third derivative of v(n) wrt n?\nAnswer: -18576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413 and 499051.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 278491900 to the nearest 1000000.\nAnswer: 278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 291 + -152. Suppose -7*o - 2*m - s = -2*o, -2*o - 52 = 2*m. Is o > -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 1 - 1 + 39*z + 37*z - 7*z + (5*z - 2*z - z)*(-1 + 3 + 6).\nAnswer: 83*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*h - 124, 7*h + 4*d = 5*h + 124. Suppose h*p - 56*p = 900. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -1.2561089.\nAnswer: 0.062805445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:22 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 283013 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.148 - -0.148. Put z, 4, 7\/15 in descending order.\nAnswer: 4, 7\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 62. Suppose 16*b = p*b + 1332. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7\/5)\/(f*f**(1\/2))*(f**(1\/4))**(-27) assuming f is positive.\nAnswer: f**(-193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 - (-8 - -8) - (-1 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/5)*t*t**(1\/2))**(2\/11) assuming t is positive.\nAnswer: t**(31\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -256, -516, -776?\n\"Answer: -260*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(72)\/sqrt(6)) - sqrt(2) - (sqrt(2) + sqrt(50)*-6)) + 0 + sqrt(16)\/(sqrt(72)*2))**2.\nAnswer: 30625\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10995609 < -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 - -108. Let r = 38 - x. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14529075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 768\/40 + (-1)\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -377756 or -377356?\nAnswer: -377356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -128994, 0.65, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) 8 (c) 2\/3 (d) -39 (e) -5 (f) 2\/11 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 1. Let o be b(0). What are the prime factors of (o*-11)\/((-1)\/7) - 1?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193*a + 3 - 19*a + 3)*(4*a**2 - a**2 - 2*a**2).\nAnswer: 174*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/112)\/(2\/24)*26\/(-39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 63 = 365. Suppose 3*t + h - 32 = 0. Is ((-8)\/2)\/(3 - (-80)\/t) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82788 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Let r be (q - 1) + 5 + 1. Factor 3*z**2 - z**2 + 4*z**3 - r*z**3 + 2*z**4.\nAnswer: 2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-42)*2)\/(17*(-44)\/748)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 9:11 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c + 1. Suppose -2*o - 6 = -c*o. Let n(u) = -u**2 + 8*u - 4. What is the units digit of n(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3320790.36 to the nearest 1000.\nAnswer: 3321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(98) + sqrt(98))*-3)**2*1.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5577 rounded to 2 dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210 or 3.7?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 766503266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 19. Let v = 2 - -3. Suppose 0 = v*i + 9 - 34. Solve o = 4*n + 3*k - 33 + 7, -15 = -5*n + i*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/445 or 249?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1, -19395, 2, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -8 - -4 - (-40 + -1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2149, 4297, 6445?\nAnswer: 8593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 17. Suppose 3*j - 4 = 5*j - 4*a, -f*j + 16 = 3*a. Solve -j*b + 4 = -3*b + 5*y, 5*y + 8 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -7. What is the remainder when 42 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 4444885*i**2 - 987732333175*i - 52362300084625.\nAnswer: -5*(i - 444515)**2*(i + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 338259737, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/20 + 19*m**4\/4 + 361*m**3\/2 - 2*m**2. Factor i(f).\nAnswer: 3*(f + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 838 + -681. Is 2 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5580 divided by -1395.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406, 402, 396, 388, 378, 366?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6593.3883ms?\nAnswer: 0.00183149675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81117939 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - (-105)\/28. Suppose -5*t + p*h - 58 = -164, 38 = 3*t + 4*h. Calculate the remainder when 47 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-27))**(-40) assuming y is positive.\nAnswer: y**(-1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 11*c**2 + 7*c - 9. Let w(s) be the second derivative of -s**4\/2 - 2*s**3\/3 + 5*s**2\/2 + s. Suppose 7*b = 2 - 51. What is b*w(y) - 4*d(y)?\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -205, -400, -615, -856, -1129, -1440?\n\"Answer: -z**3 - 4*z**2 - 176*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -471*f**2 + 2*f + 35*f**2 + 63*f**2 in the form k + u*f**2 + d*f and give u.\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*c**3*n**2 + 18*c**3 - 29*c**2*n + 47144*c*n**2 - 2*n + 26 wrt c?\nAnswer: -48*c*n**2 + 108*c - 58*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34885604.\nAnswer: 2, 13, 670877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**7\/2940 - a**6\/210 - 27*a**3\/2 + 2*a**2 - 34. Let h(m) be the first derivative of j(m). Solve h(k) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 399*c + 1 - 8*c**2 + 812*c - 405*c. Let u(s) = -2*s - 1. Let r be u(-4). What is f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let o(s) = 2*s + 1. Give o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 2405*j**2 - 1307580*j - 34114500.\nAnswer: 5*(j - 342)*(j + 25)*(j + 798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17594 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 413?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5126606552 a multiple of 12446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3*i + 17, -20*i + 15 = 2*g - 15*i - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 + 18 = 0. Let s = 194 - 196. What is the smallest value in s, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 + 18767*o - 11026361. Let s(y) = -y**2 + 2346*y - 1378294. Let v(t) = -51*s(t) + 6*x(t). Factor v(m).\nAnswer: 3*(m - 1174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*i + 17 = 0, 3*d + i = 3*i + 23. Let o = 6 - d. Let b be (-1 + 2)*-6001 + o. What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 15. Round o to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 + 5 = 0. Suppose y = n*k + 20, -120 = -5*y + 5*k - 0*k. List the prime factors of ((-15)\/(-3) - 2) + y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159309670.\nAnswer: 2, 5, 13, 1225459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from qyixiqtg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-1))\/(-120)*(-3)\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30 - -6)\/((-3)\/8). Suppose 3 + 11 = q - b, w = 5*q - 2*b. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.685 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 2*d - 3*d + 2*d + d - d + (d - 4*d + 4*d)*(9 - 3 - 2).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or -5\/38?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*o - 7*o - 23*o)*(9160*o - 9160*o - o**3 + 2*o**2 + 9) in the form b*o**2 + j*o**3 + y*o + k*o**4 + n and give y.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -53532.0449 and 0.06.\nAnswer: -53531.9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 18) + (6 - 2) + 126 + -133.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 11. Let a(m) = 4*m**3 + 45*m**2 - 17*m - 305. Let q be a(-11). Solve 0 = -q*p - f - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.213245 and -2.\nAnswer: -0.42649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 80\/5*102\/(-136)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 = -5*h - 4*w, 3*w + 255 = 2*h + 6*w. What is the remainder when h is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 10. Determine t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -270, -261, -256, -261?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -30*o + 17. What is w(4)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -171, -2\/19, 154, 114, -0.1, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20520 and 1026.\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6983 - -0.06.\nAnswer: 0.7583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -20. Suppose 3 = -3*m, -h - 4*m = -o*h - 16. What are the prime factors of 4\/6*(0 - 186\/h)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 - 259. Let h = y - -72. Let n = 2 - 2. Which is the closest to -1\/4? (a) n (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -5*x**2 - 1\/10*x**5 - 1\/6*x**4 + 2 + 0*x - 1\/120*x**6 + 1\/3*x**3. Suppose -3*n - 10 = -n. What is z(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 7 - 48 + 41.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 5, 0.3, -0.05 in increasing order.\nAnswer: -1\/6, -0.05, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h + 16*h - 2234 + 2231. Let q be (-3)\/(-1) + (-1)\/1. What is l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2887 = -33*g + 8695. Calculate the greatest common factor of 112 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (3 - 1)) + -1. Let q be m\/(-2) - (-1)\/2. What are the prime factors of (-4*(q + 0))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**7\/2520 - a**6\/180 - a**4\/12 - 3*a. Let u(b) be the third derivative of k(b). Determine u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415 (base 8) to base 16.\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5*q - 17 = 0, 5*p - q - 4*q = 35 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - n**4 - n**3 + (0*n**2 - n**3 + 0*n**2)*(n + 0*n + n) + 0*n**4 - n**4 + 0*n**4 as l*n**4 + r*n**2 + s*n**3 + i + z*n and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7463 and 2551468.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*l + 4)*(-l - 3*l + 2*l) + 2*l**2 - 3 + 4 - 2*l + 0*l**2.\nAnswer: 6*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 4458.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50706110.\nAnswer: 2, 5, 7, 13, 55721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3254*w + 1063691867 = -3103*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + -270.79. Let y = g + -2.1. Let s = y - -0.4. Round s to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + i - 8 = 0, 7*i - 12 = 3*v + 4*i. Is -1 - -1 - (v + -22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 360406053*q**6 - 14980*q**2 + 10625*q wrt q.\nAnswer: 43248726360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -61*q**2 - q + 6. Suppose 3*b + 0*b + 6 = 0. Let w be a(b). Round w to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33645 + -33629. Suppose 0 = -0*p - 5*p - q + 227, -p + 58 = -4*q. What is the remainder when p is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(9)\/sqrt(75) + sqrt(3)))**2*6.\nAnswer: 275\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + -1a1984?\nAnswer: -1a19cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j - 16. Let l(m) be the first derivative of -1\/2*m**2 - 3*m - 2. What is 4*b(r) - 22*l(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.64 - 40.24. Let x = 36.54 - -1.46. Let s = x + a. What is the second smallest value in 0, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + 90\/54. Find the third derivative of 228*r**z + 3*r**6 - 13*r**6 - 213*r**2 wrt r.\nAnswer: -1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/10, -4, 1, 0.16, -0.3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -23213?\nAnswer: -23212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 356*n**2*t**3 - n**2*t + n*t**2 - 74*n wrt t.\nAnswer: 2136*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71463820*r**3 - 136144277*r**2 wrt r?\nAnswer: 428782920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/2)\/((-1)\/(-23)). Let x = c + -24. Which is smaller: x or -12\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -211231002?\nAnswer: 211231012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*m + 65*m - 3*c - 2, 0 = -19*m + 4*c - 11. Is -1\/6344 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 338098*r + 1014292\/3.\nAnswer: 2*(r - 507146)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)\/(a**7*a)*((a*a**(-2\/3))\/a)**(-2\/83))**(1\/2) assuming a is positive.\nAnswer: a**(-2488\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51598000 rounded to the nearest 1000000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93379.26mm in nanometers?\nAnswer: 93379260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 54949, 5, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**2\/3 - 5815*p\/3 + 1454\/3 = 0.\nAnswer: -1454, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - -12 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 and 116\/20*(1 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251*b - 16 = 1249*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3, 0.2, 8, -12982, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 7493.602?\nAnswer: 7494.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11603 + -11600. Which is the closest to 0? (a) -2 (b) w (c) 0.2 (d) 860\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 6*c)*(-6 - 1 + 4) - c + 0*c - c + (14*c + 25*c - 30*c)*(2 + 5 - 5)*(-2 - 4 + 3).\nAnswer: -68*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. What is q(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 = -14. Let t(y) be the first derivative of y**4 - 5*y**2\/2 + y - 43. Let o(h) = -3*h**3 - h**2 + 4*h. Let f(x) = 3*o(x) + 2*t(x). Give f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 559 * 7.\nAnswer: 3913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-3))\/(5 + (-8589)\/1719) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11600806.11 rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + x**3 - 6*x**3)*(x + 3*x**2 - 4*x**2 - 3*x).\nAnswer: 9*x**5 + 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 2*h**2 + 2. Let k be j(2). Let p be -2*1\/4*k. Suppose -22 = 5*u - 3*m, -2*u + 0*m = -m + 8. Which is greater: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1801 divide 1021120174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*u - 55, -206543*x + 1481 = -206545*x - 290*u - 1417 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8079*l - 10428 = -8316*l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1222\/35 or 1102\/3?\nAnswer: 1102\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7367, 10667, 9895, 5051, -3865, -16853, -33913?\n\"Answer: -2036*j**2 + 9408*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvuuthsvyvuvvtht. What is prob of picking 1 v and 1 h?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.18 and -34\/14157 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 + 7*t**3 + 39*t**3.\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*y - 38*y - 115 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3 + 38*i**2\/3 - 860*i - 288 = 0.\nAnswer: -24, -1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 26183738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2405 = -36*b + 1649 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((k + 2*k - 4*k)*(-6 + 2 + 3) - 2*k - 5 + 5 + 2*k - 2*k + 3*k)*(1 - 1 + 1) to u*k + l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 2, c: 2}. What is prob of sequence gww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 16*a = 26*a - 49*a. Let x(s) be the first derivative of 16 + 7\/3*s**3 + a*s + 0*s**2 - 1\/2*s**4. Find the third derivative of x(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 21727 + 21727. Let h(i) = -105*i**2. What is y(h(q))?\nAnswer: 105*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29\/2 - (-6)\/12. Let r(f) = -2*f + 21. Let o be r(y). Let b = -17\/2 - o. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-4)\/(-112)*-7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95527478 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 45*t. Let c(q) = 5*q. Calculate -35*c(w) + 4*j(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + (-2)\/1)*3. Suppose 0 = p + 2*p - b. Suppose 0 = -k - p*k + 2*x + 30, -5*k = -x - 25. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:20 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*j + 402 = 510, -142*g - 22 = -141*g + 2*j for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/289 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 170\/161 + (-156)\/(-1794). Put -3, -9, y, -1 in decreasing order.\nAnswer: y, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f + 1. Solve t - 2*t + 2*s - 5 = 0, -3*s = -f*t - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -496201*k**2*p - 63943112*k**2 - 69*p wrt p.\nAnswer: -496201*k**2 - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75953.57 millimeters to meters.\nAnswer: 75.95357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/492120739 and 27\/223691245.\nAnswer: 2460603695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(96) - sqrt(6)))\/(sqrt(6) + sqrt(30)\/sqrt(20)).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d\/(d\/d**(-1))*d*d**(-4\/9)*d\/((d\/d**(-25\/4)*d)\/d)*d\/(((d*d*d**(12\/7))\/d*d*d*d)\/d) assuming d is positive.\nAnswer: d**(-2119\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183641 and 449.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -1\/6*k**3 + 31\/6*k + 14\/3*k**2 - 29\/3 = 0?\nAnswer: -2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -442650545441.\nAnswer: -442650545445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 35. Suppose 9*h + r = 5*h. Let o = 2 - h. Solve -4*v - o*s = -3, -4*v - s + 2 = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223417781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(176)\/sqrt(4) + sqrt(44) - sqrt(5324)*1)\/(sqrt(400) + sqrt(400)*2 - sqrt(400) - -2*sqrt(100)).\nAnswer: -13*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13 + 7*o + o + 21*o - 17*o**2 - 3*o**2 - o**3. Is p(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*m**3 - 2*m**2 + 11*m + 9190?\nAnswer: 177*m**2 - 4*m + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 12326696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + -15. Let h = d + 33. Suppose 0 = 3*k + 3*i + h, -11 = 2*k - 2*i + 7*i. Solve 2 + k = x, -3*r + x = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44060, 88185, 132312, 176441, 220572, 264705, 308840?\nAnswer: 352977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.8 + 7.075. Let u = v + -0.154. Let n = u - 0.521. Which is the third smallest value? (a) -23 (b) n (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32896958.\nAnswer: 2, 311, 52889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(((-16590)\/12)\/(-79))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -19634*n - 2343. Is y(-40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 4 (c) 2\/7 (d) 0.04 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 720 and 28.\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-26) - (-324696)\/53950*30\/9. Factor -w*n**2 + 28\/5*n - 2\/5.\nAnswer: -2*(7*n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b - 123. Let p be f(-14). Let r = p - -277. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229116 divided by 12?\nAnswer: 19093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 120. Suppose 137*u - 37 + 367 = 140*u. What is the remainder when u is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.355 - -0.35747. Round j to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 + 5. Let p(q) = 0*q + 0*q + 107 - 113 - 8*q**2. Let x(o) = -5*p(o) - 6*r(o). Let j(a) = 4*a - 2. Give j(x(c)).\nAnswer: -8*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-416)\/(-160) + (-56)\/10)*(-8)\/6*11?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -84*w + 4. What is a(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2300 and 294300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**3\/3 + 4*y**2 - 9*y + 1. What is the remainder when 20 is divided by k(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (1 + 7 + 5 - 37 - -10).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7047*g - 362612 - 240624 - 298780 = 0 for g.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (2 + (7 - 23)) - (1 + 10)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*((sqrt(99)*1 - sqrt(99) - sqrt(99))*-3 + sqrt(99)))\/(-1*(sqrt(144) - -1*sqrt(144)) + sqrt(144)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, u: 2, f: 7, j: 1, k: 1, h: 5}. What is prob of sequence nn?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 125944 to the nearest 1000.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1) + (-2 - -3). Let r = 1555 - 1547. What is the greatest common factor of r and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -42, -14, 42, 132, 262, 438, 666?\n\"Answer: f**3 + 5*f**2 - 16*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225582, 902325, 2030230, 3609297, 5639526?\nAnswer: 8120917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1\/37391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 124213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19488 + 19487.0396. What is l rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 14. Let l(b) = 7*b + 7. Let h be l(d). Suppose -h = -2*u + 102. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, -3, 4 in descending order.\nAnswer: 4, -3, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 78440043?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*x = 4, 3 = -5*v + x + 25. Let n(t) = -2*t**2 - 2*t - 2. Let y(l) = l. Calculate v*y(z) + n(z).\nAnswer: -2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.57 + -0.57. Let o = p - 27.0000034. What is o rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -51*h + 42 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.582 - -0.582. Sort 273, w, 1\/6 in ascending order.\nAnswer: w, 1\/6, 273","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(1377) + ((sqrt(68) - sqrt(68)*-1) + sqrt(68))\/sqrt(4) - (-4 + (-2*sqrt(833) - sqrt(17) - sqrt(34)\/sqrt(2)*4)**2).\nAnswer: -6133 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -66, -60, -52?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2508 and 78?\nAnswer: 32604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 2*o**2 + 2*o**2)*(15 - 5 + 0) - 7 + 7 + 4*o**3.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 16, 25, 54, 109, 196, 321?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:43 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 27. Let b = -12 + d. Let x(a) = a**2. Calculate x(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*u - 62, -2*k + u - 27 = -4*k. What is the highest common factor of 26 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-9 - 2 - -2). Let b = o - -13. What is the units digit of 8 + b + (-76)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6659 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34020\/(-3474900)*20\/(-14).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1555.0016875 + 1555. Round z to 5 decimal places.\nAnswer: -0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8073088449 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13 - x**2 + 132*x - 21 - 19 - 116*x. Calculate d(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**31)*y\/(y\/y**(2\/55))*(y\/(y\/(y*y*y*y**(6\/13))))\/(y*(y*y**14*y*y*y)\/y) assuming y is positive.\nAnswer: y**(-32534\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y**3 + 15*y**2 + 28*y + 4. Let b(a) = 9*a**3 - 15*a**2 - 27*a - 3. Let d(p) = -5*b(p) - 6*s(p). Factor d(j).\nAnswer: 3*(j - 3)*(j + 1)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2937\/5, -4\/9, 61?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7580 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = -6*w + 2*w - 11*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-4))\/(683\/6830).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*p - 97*p - 45 = 0. Sort 2, p, 26 in descending order.\nAnswer: 26, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*p - 285 + 378*p - 185*p as k*p + m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063539947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190330.\nAnswer: 2, 5, 7, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 392\/(-735) + 1\/3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.03107 minus -0.05?\nAnswer: -122.98107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**3 - 284*v**2 - 5180*v - 4900 = 0?\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*c - c = -66, -2*c - 50 = -3*p. Calculate the highest common factor of 112 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 4:49 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + x - 59 = 0, -2*x - 10 = -2*d + 16. Suppose -4*h - d = -8*h. Suppose -6 = h*n - 4*n. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {d: 7, j: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 21. Suppose -2*n = -t + 2, -4*n + c = 3*t + t. Differentiate -3 - 4*x + t*x**2 + 4*x wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1513624523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 13) in base 12?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o**5 - 77835627*o**4 - 155671074*o**3 + 207561502*o**2 - 74952771*o + 8648397 = 0.\nAnswer: -2882799, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12836710 rounded to the nearest 100000?\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-28)\/(-12)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 655, 2617, 5881, 10441, 16291, 23425?\n\"Answer: -a**3 + 657*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*v + v - 10, 6 = 3*y - 3*v. Suppose -y*t + 12 = 4. Suppose t*m - 116 = -2*b, 2*m + 244 = 3*b + b. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5675380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = y - 3*y. Is (-4)\/y - (-1407)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 395345 - 131780 + 4*r**3 - 131784 - 131781.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + -16)\/((-1)\/(-701)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -165. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14725, 14610, 14495, 14380?\nAnswer: 14265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1336*s = -636*s - 1452*s + 136960 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972874389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*((-10)\/3 + 2). Solve -5*i + 30 = -5*o, o + 12 = d*i - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20061 + 28522. Is 8460 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/5 - 1836*b\/5 - 421362\/5 = 0?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 6*w - 5*w = 0, -5*w = y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*(-14)\/(-4). Let o be -19 + (-2 - -3) - -16. Which is the fourth smallest value? (a) 0.5 (b) y (c) -2\/13 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 9*s**2 + 8*s + 22. What is the remainder when k(9) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0287 + 0.0887. Let g = -2890091.94000006 + 2890092. Let x = d - g. Round x to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 29\/87*(-33)\/1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56771, -56754, -56735, -56714?\nAnswer: -56691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3242138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4900?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4164005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*(z**2\/z)\/z))\/z)*z*z*(z**(-1\/2)*z)\/z*z)**(-28\/9))**20 assuming z is positive.\nAnswer: z**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*a + 15, 3*a + 0*a - 3 = 5*f. Put f, -0.5, -27 in increasing order.\nAnswer: -27, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by (48 - 55)\/(2\/6*-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 15 = 26*v. Let d = -11111\/23 + 483. Put 0, d, v in decreasing order.\nAnswer: v, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -963 = -2*o + 2*b - 957, 3*b = -o - 1. Suppose -4*t = 2*d - 10, 0 = d - t - t - 1. Solve -5*j - d = o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371.63324 rounded to one dp?\nAnswer: 2371.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3864*z**2 - 3865*z**2 + 11587*z**2 - 2*z**3 - 3858*z**2.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(13)*5 + sqrt(143)\/(sqrt(11) - (sqrt(22)\/sqrt(2) - sqrt(11))))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5*i - 5. Let h = -29 - -31. Let n(o) = 4*o - 5 + o**2 - 2*o**2 + 2*o**h + 1. What is 4*m(c) - 5*n(c)?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-830)\/249)\/(2\/(-3)). Solve 4*c - p*j - 25 = 0, -c + 2*j + 7 = -0*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55614868 divided by 783308?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -3, 0, -1.\nAnswer: -3, -1, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -293.24*-10\nAnswer: 2932.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 27*c = 19*c + 55, -3*w = -4*c + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r**2 + r**2 - 6*r - 23*r**2 + 4 + 35*r**2. Calculate o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3190867880 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4933 rounded to two dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133331355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 10, h: 9}. Give prob of picking 2 h and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27\/11, -22, 0, 0.2 in ascending order.\nAnswer: -22, -27\/11, -1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-16))\/((-4)\/2). Let q be 2\/9 - 38\/9. Let w = 0.1 - 0.6. Which is the closest to -1? (a) q (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 3 - (23 + -20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/8, 2\/11, 5, -5, -2626 in decreasing order.\nAnswer: 5, 4, 2\/11, -3\/8, -5, -2626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(75\/20))\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 807 = -n. What are the prime factors of n?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l + 168*y - 81*y - 704 = 86*y, -9*l + 188 = 2*y for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11457 + 13*d + 3*d + 1737.\nAnswer: 16*d + 13194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22890, -46401, -69912?\n\"Answer: -23511*c + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1032\/(-3456) - (-1 + (1 - 2\/18))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -233936*a + 233963*a - 945 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.14 (b) -0.3 (c) 3 (d) 0 (e) -6805\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(480) - sqrt(480) - 3*(sqrt(480) - -2*sqrt(480)))\/(((sqrt(96) - 1*sqrt(96)) + sqrt(96))*5*-3).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26358743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1539\/(-684)*(-561)\/51*12\/(-11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t - 17*t + 8*t + (-10*t - 19*t + 16*t)*(0 + 2 - 1).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Suppose 0 = 4*x + 6 - 2. Let k be z(x). Suppose q + q = k. Solve -t - 3*t - 4 = q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18447, 18459, 18493, 18561, 18675, 18847?\n\"Answer: 2*s**3 - s**2 + s + 18445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3518 - -1781?\nAnswer: -1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1180 divided by -3\nAnswer: -1180\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 330 - 320. What is the lowest common multiple of (-35)\/7 + 9 + (77 - 1) and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 75846\/11 and 6896 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m)**(7\/4))**(-5) assuming m is positive.\nAnswer: m**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113.14 - 113.04. What is the fourth smallest value in 9, -0.096, -0.1, c?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250695 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p**2 - 12*p**2 + 2*p**2 - 9*p**2 to x*p + l + a*p**2 and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13085 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -116882272 divided by 6?\nAnswer: -58441136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s = -27 - 7 - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, c: 2, f: 2, q: 1}. What is prob of sequence fcf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - w + 4*w, t + w = -2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 5*y - 4. Let m be t(-3). Let b(s) be the third derivative of -s**5\/60 - s**4\/12 - s**3\/6 + 6*s**2. Calculate b(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110120 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -121329?\nAnswer: 121327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 45. Suppose 4*l - 20 = -8. Solve -12 = -l*v, -d + 19 = c*v + 2*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2344\/43 (b) 4\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11826 - 11825. Let u(b) = -b**2 + b. Let d(k) = 20*k**2 - 5*k. Calculate l*d(f) + 5*u(f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 q, 1 v, and 1 h when four letters picked without replacement from rchcvyqh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) - sqrt(132)*2)*6)\/(sqrt(192) - sqrt(192)*5))**2.\nAnswer: 539\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.3, -6, 1, 3, -10\/7 in descending order.\nAnswer: 7, 3, 1, 0.3, -10\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -1\/4*y**4 - 3*y**3 - 7*y - 4*y**2 + 3. Let a be w(-8). Is a bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1593\/354*(-17)\/((-918)\/264).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 3:31 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 25. Let n be (-3)\/6 - l\/8. Suppose t = -0*t. Put 5, n, t in decreasing order.\nAnswer: 5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 8. Calculate z(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + y)*(-y + y - 2*y**4) + 3*y**5 + 4*y**5 - 4*y**5 + (y**2 + y**2 + 0*y**2)*(-3*y**3 - 3*y**3 + 5*y**3) - y**5 + 2*y**5 + 0*y**5.\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2474 - 2474 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:07 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624*g + 720*g + 1536 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2*-6)\/((sqrt(16)*1)\/sqrt(4)).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48*18\/(-10 - -82). Calculate the highest common factor of q and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*v = -386*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 5*o = 3*z - 33222, -11058 = -z + 3*o. Round z to the nearest one hundred.\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 18*l - 2. Let w be p(13). Let n = w - 296. Is (0 + 5)*n\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 194 - 190. Let k(s) = s. Let h(w) = 8. Let p(j) = h(j) + 5*k(j). Is p(a) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v = 40*v - 360. Is v bigger than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 3*r + 2 + 14, -l + 5*r + 24 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 1143504 = -36*m. Let i = m + 285292. Round i to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 11. Let h be d(0). Let p = h - -15. Let z be (-2)\/(-4) - 2\/4. Solve -k + z*k - 6 = a, p*k + 3*a = -21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 550*s + 11182. Calculate t(22).\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 2. Let q = 15 - 13. Let c be r(q). Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/u*u)**(-26))**(1\/10))**(-17) assuming u is positive.\nAnswer: u**(221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - -1129. Let t = u - 694. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -4*g - 2*g. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 44 = 35*b - 30*b, -4*z - 117 = -10*b - 179 + 86 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56113768?\nAnswer: 2, 331, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/12 - k**2. Let r(c) be the first derivative of 14*c**2 - 17*c**2 + 18 + 1. Determine p(r(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/3171391 and 17\/1005563?\nAnswer: 41228083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9228.650168 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277313, -1109299, -2495943, -4437245, -6933205, -9983823?\nAnswer: -13589099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 10. Let p(x) = -8*x**2 - 8*x - 6. Let c(k) = 9*k**2 + 9*k + 7. Let y be (21\/(-15) - 1)*21\/((-588)\/70). Determine a*p(v) + y*c(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*i**2 - 409 - 553*i**2 + 407)*(-32*i + 8*i**2 + 32*i + 1).\nAnswer: -3664*i**4 - 474*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 + v**2 + 6*v - 2. Let z be o(-2). Which is smaller: z or 15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2080 = 5*a, -k + 731 + 1349 = -5*a. Let f be 1 + ((-404)\/a)\/(-1). Let u = f - -121\/3016. Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = -480. Let g be (j\/(-16))\/((-6)\/8). What is the units digit of (-5)\/g - (-38)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346599523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 35. Suppose 4*c = -0*c + i, 0 = -5*k + 4*c - 10. Is ((-1)\/k)\/((-6)\/12684) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*x = 5*x + 95, q + 4*x - 41 = 0. Calculate the remainder when 83 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (4\/(-8)*6 - -3681). Let b = w - 33170\/9. Calculate the common denominator of b and 17\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1931, 5, -5, -4, -20 in increasing order.\nAnswer: -20, -5, -4, -1, 5, 1931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*u**3 - 156 + 70*u**4 - 275*u**2 + 35*u**4 + 6*u**5 - 26*u**2 - 610*u - 13*u**4 - 83*u**2 = 0. Calculate u.\nAnswer: -13, -3, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1 - 3*p + 34*p**2 - 58*p**2 + 14*p**3 - 1 + 31*p**2 - 7. Let d(r) = 25*r**3 + 13*r**2 - 7*r - 17. Let o(y) = 4*d(y) - 7*j(y). What is o(-4)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:38 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 831 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 5090 = -2001. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v - 8. Let i(x) = -3*x - 5. Let t be ((-2)\/(-5))\/(3\/60). Let n(g) = t*i(g) - 5*u(g). Calculate the smallest common multiple of 24 and n(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2758 - -2922. What is the highest common divisor of k and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:07 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*2 - -31. Suppose 2*j - 3*d = -3*j + 297, 4*j - 236 = 4*d. What is the highest common factor of l and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dscsdcsghshn. Give prob of picking 1 d, 1 n, and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1220 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42872839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 449*i**2 + 0 - 8 - 3*i - 286*i**2 + 3 in the form c*i + m*i**2 + z and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*p*u**3*x - 2*k*p*u**2*x - 10*k*p*u**2 - 3*k*p*x - 2*k*p + 3*k*u**3 - 18*k*u*x + 2*p*x - 1349*u**3*x wrt u?\nAnswer: -12*k*p*x + 18*k - 8094*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16040135 is divided by 1244.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 5. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27265 and 4655.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/2 + (-16920)\/(-600) + (-1 - 2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/18*12502\/133?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 318 = 5*p, -o = -7*p + 2*p - 316. Let y = p + 97. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -576 - -228. Let w = 348.2 + c. What is the third smallest value in w, -0.3, -3\/4, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13979 - -13979. Solve -51*v + 59*v - 40 = h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143623548 divided by -71811774.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4 - 102*r**3 - 1274*r**2 - 5586*r - 6860 = 0.\nAnswer: -35, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1367418 by -47.\nAnswer: -29094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10863 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 0 + 2*o - o + 4 to the form d + n*o and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329767 + 224.\nAnswer: -329543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**4*y**3 + 365*c**4 + 262*c**3*y - 3827*c**2*y**3 - 2*c**2*y**2 - 5*c**2 - 6*y**3 wrt c.\nAnswer: 120*c*y**3 + 8760*c + 1572*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -69099*u. Let p(q) = -13*q - 3. Give p(g(o)).\nAnswer: 898287*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {r: 7, i: 1, p: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12045 = -600*d + 4755 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -88342.6 times -37\nAnswer: 3268676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0*q**2 + 0 + 31\/6*q**3 - 28\/3*q**4 + 53*q. What is the second derivative of g(i) wrt i?\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 120, -7, 1, 1389 in descending order.\nAnswer: 1389, 120, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y - 15 + 15 to j*y + c and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -116935\nAnswer: 2\/23387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582454?\nAnswer: 2, 17, 37, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13716 + -13702. Calculate the remainder when 124 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 220, 731, 1728, 3373, 5828, 9255, 13816?\nAnswer: 19673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20589*u**2 - 18*u + 1 + 20582*u**2 + 3*u + (3*u + 3*u - 4*u)*(3*u + 2*u - 6*u) to the form l*u + r + n*u**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-1*-3.\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366547, 733093, 1099639, 1466185?\nAnswer: 1832731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-107)\/(-2))\/((-69)\/(-276))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-344)\/(-86))\/(-3*(-4)\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/10)\/(28\/210)*4\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2))\/(-6*4\/(-8))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -2*k + 481. Let n be k\/(-6) + (-6)\/4 + -1. Let l = 62 + n. Solve 0 = l*x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p + p + 3*p)*(3 - 3 - 3)*(5 - 3 + 2)*(-12 - 152 - 285) as m*p + w and give m.\nAnswer: -10776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280823 is divided by 260?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 12:19 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.52 - 1.48. Which is the closest to s? (a) -0.1 (b) -0.07 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023519773 to four decimal places.\nAnswer: -0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-1 + 2) - -1. Let l = 5 - 8. Let u = 42 + -42.5. What is the third biggest value in l, k, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.118845 nanometers to centimeters.\nAnswer: 0.0000004118845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 683150617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x + 1985 + 3263 = 0. Suppose 0*l - 5*l + 4*y + 4486 = 0, 4*l + 2*y = 3594. Let d be 2 - (l\/x - 5). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-1)\/((3\/(-29))\/3). Let b be ((-4)\/(-3))\/(8\/(-84)). Let x = b - y. Calculate the greatest common factor of 76 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1431670 and -32\/1525.\nAnswer: 7158350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802364410 - 802364410 - 36*h**2 - 25*h**2.\nAnswer: -61*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let g(j) = -j**2 - 9*j + 7. Let o(b) = -g(b) + 5*k(b). Let c(r) = r - 1. Determine 3*c(y) - o(y).\nAnswer: -y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (8 - (-8 - -30) - -8 - -8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/66*-9 + -2. Let s be 2 + 4\/((-24)\/(-18)). Suppose 4 = -4*w + s*t - 3, -5*w = 4*t + 19. What is the nearest to w in 0, 6, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 7 = a - 5, 0 = -r - 4*a + 24. Suppose 5*y = r*y. What is the nearest to -1 in y, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 11:56 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -308*z + 618*z - 322*z. Let g(w) be the first derivative of 8*w**2 - 10. Calculate g(b(i)).\nAnswer: -192*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 6*b**2 - b + 10. Let i be 4\/(-3*2\/(-6)). Let l be ((-1)\/i - 39\/(-12)) + 3. Let x be t(l). Solve -3*s - x = 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 765492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2688\/768)\/((36\/486)\/((-48)\/(-63)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21686*f**2 + 18080*f wrt f?\nAnswer: -43372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + 2079\/(-108))\/((-4)\/(-16)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-932)\/(-22995) - 6\/(-15). Let m be (29\/((-74095)\/28))\/(28\/10). Let l = m - f. Put 7, -2, l in decreasing order.\nAnswer: 7, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Let w(o) = -o**3 + 2*o**2 + 3*o + 4. Let t be w(3). Suppose -2*x - 2*x - t = 0. What is the third smallest value in c, x, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -18*o - 139. Calculate q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1674)\/(-21) - (-8)\/28. Let j = -27 + v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((1*sqrt(272) + sqrt(272) + 5 + -2 - (-1 + 0 + sqrt(272) + 1))*-2)**2.\nAnswer: 192*sqrt(17) + 2252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 12*u + 4. Determine s(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 5*o + 27. Calculate m(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywcwwywccwwwccwcwwwc. What is prob of sequence ycc?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:55 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:35 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.33 - 2.21. Let j = 2.12 - w. Let f = 5 - 4.7. Which is the nearest to -2\/3? (a) j (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213 - 428 + 215 + 507*j**2.\nAnswer: 507*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8 + (-154)\/(-4). Is f - 2*6\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -0.57 (c) 2\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/26)\/(-3)*((-532)\/(-38))\/7.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 + 245 - (-8 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.5 (b) -0.4 (c) -4\/17 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/4107 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 33*h**2 - 5*h + 5. Let f be n(2). Let g = f + 336. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m + d - 10 = 0, -d = 4*m - 40. Let x(l) = 22 + l**3 - 140*l + 149*l - 11*l**2 - 9. Let s be x(m). Solve 0 = -f + 1, 2*y + 3 = s*y + f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -294.5?\nAnswer: 88.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*f + 3 - 1730 = 2385 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11902255?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.5 (b) 2 (c) -0.4 (d) -2\/1241\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*d = 4*j - 7, -4*j - 5*d + 2 = 0. Factor -28*c**j + 1 + 15*c**3 + 15 - 16*c**2 + 9*c**3 + 4*c.\nAnswer: -4*(c - 1)*(c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 238*t + 3579. Let o be v(-15). Let w(s) = -6*s + 1. Let c be w(-1). Let k be -4*1\/(-2) + c. Calculate the greatest common divisor of o and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b4 (base 14) to base 5.\nAnswer: 20314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*0\/(-3))\/1. Let i = u + 3. Let b(p) = -3*p**3 + 3*p**3 + i*p**3. Let g(a) = -13*a**3. Calculate -9*b(s) - 2*g(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 980773.4 millilitres in litres?\nAnswer: 980.7734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246515 is divided by 61530.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 3*g**3 + 2*g**2 + 11*g - 14 - 13*g as h*g + l*g**2 + x*g**3 + w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547807261?\nAnswer: 6863, 516947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - p + 29. Calculate n(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v - 33. What is f(9)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152 - -154. Solve -i*h - 8 = 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -42. Let r(x) = 47*x - 171. What is the remainder when d is divided by r(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568*o = 576*o - 200. Solve -v + 4*x - 24 = -4*v, 4*v = -3*x + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 5*k - 44 + 52, 2*z - 8 = -3*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 213, 197?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 8*a**2 + a. Let d be z(8). Let b(w) = -17 + w**3 + 34 + d*w**2 + w**2 - 31*w + 9*w. Is 6 a factor of b(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161944 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by (32\/(-40))\/((-1)\/55).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*g = -128, 0 = -3*y + 13*g - 9*g - 38 + 220 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582426499?\nAnswer: 101, 5766599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22561671*p**3 - 106*p**2 + 559*p**2 - 22561672*p**3.\nAnswer: -p**3 + 453*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*(128\/(-228) - (-6 + 19 + 82\/(-6)))\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -12, -17, -2 in ascending order.\nAnswer: -17, -13, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561402.\nAnswer: 2, 307, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j**2 - 52*j**2 - 58*j**2 to the form g*j + p + z*j**2 and give z.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlbr when four letters picked without replacement from lwnwrnjb.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65.656783473 + -8210.094616047. Let c = a - -8269.7514. Let v = -6 - c. Round v to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57938, -57965, -58004, -58049, -58094, -58133?\n\"Answer: z**3 - 12*z**2 + 2*z - 57929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g. Let c(q) be the second derivative of 3*q**4\/4 + 2*q - 3. What is c(k(f))?\nAnswer: 1296*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-320)\/15*-1*249\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4 + 75515*p**3 + 499*p - 235.\nAnswer: -36*p**2 + 453090*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c6de1 + -1?\nAnswer: c6de0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 2*s + 31 - 27, -v - 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.228 - 0.012. Let a = w + -0.56. Round a to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1052543.5 * 0.5.\nAnswer: 526271.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -32. Suppose -q*z + 0*z - 3 = 3*m, 5*m + 25 = 5*z. Calculate the lowest common multiple of z and (6\/4)\/(9\/132).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 281 and 3.\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*3*-2)\/(3*(sqrt(432) - sqrt(48))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4706 - 674. Suppose 300*g - l = 294*g. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/40359 and -79\/128415.\nAnswer: 1412565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1376, 1650, 1888, 2072, 2184?\n\"Answer: -3*h**3 + 295*h + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 - -0.26. Which is the closest to h? (a) 4 (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*a = -69*a + 33*a - 70 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -63. Let d = -20.5 + j. Put -3, -2, d in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -507\/35 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + sqrt(6897)*3 - sqrt(57) - sqrt(57))\/(sqrt(147)*4) + -3.\nAnswer: -3 + 8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a + 1. Let f(h) = -2*h - 3. Let n(t) = -t - 10. Let x(g) = -3*f(g) + n(g). What is x(d) + y(d)?\nAnswer: -d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2830*k*s + 9288*k - 1876*s - 5369 wrt k?\nAnswer: 2830*s + 9288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*n + 4687*n - 3230*n - 29961*n.\nAnswer: -28622*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 25 = 12*x. Let j be x*1*(1 + (-9)\/15). Solve k = j*u + 3, 2*k + 5 = 7*k - 5*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**17)))\/(y\/y**(-6\/11)) assuming y is positive.\nAnswer: y**(181\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 7\/240*r**6 - 6*r**2 + 6 - 50\/3*r**3 - 71\/60*r**5 + 185\/12*r**4 + 0*r. Factor m(q).\nAnswer: (q - 10)**2*(7*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, r: 1, n: 1, z: 3}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 6. Let j be a(5). Let g = j - 9. Suppose g*i + i = 27. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001360289941 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1 + 3 + (-12)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 1, q: 1, b: 1, r: 2, u: 2}. What is prob of picking 1 u, 1 q, and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + 242.76. Let d = r - 242.8. Let o = -0.25 - 0.05. Which is the closest to -1\/3? (a) d (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times -1031395?\nAnswer: -74260440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, h: 9, a: 1}. Give prob of picking 2 h and 2 r.\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and -0.6.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 5. Let p be u(7). Suppose 0 = k - p*l - 26, -2*k - 2*l - 3*l = 8. Let r = k - -9. Solve -q - r = -6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -718\/3 less than -238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.4, 3, -208\/9, 54.\nAnswer: -208\/9, -0.4, 3\/4, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4649 (base 13) to base 5.\nAnswer: -303423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + r - 8*r + 0*r + 2*r.\nAnswer: -5*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12845 and -103?\nAnswer: 1323035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 680 = -504. Let i = -292 - n. Solve -6 = c - 3*c - i*y, -5*y - 9 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1171 - -1171.4. Suppose 4*h = -40 - 4. Which is the closest to h? (a) z (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 + 44030*n - 176040 = 0.\nAnswer: 4, 8802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 3899 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -35.17. Let k = 0.23 - y. Sort k, 1, -2\/11 in decreasing order.\nAnswer: 1, k, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6592721 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 29*h + 332. What is g(-3)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.94473 millilitres in litres?\nAnswer: 0.00594473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 276 = -2*c, 3*i - 2*c - 2*c - 207 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:34 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vuvuvvuvuuvvvvvvvv?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9 = 6. Let z be x\/9 + (-5)\/(-3). Let o(w) = w - 3 + z + 5. Calculate o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214455 and 1758038?\nAnswer: 764746530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:15 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -170dc4 (base 14) in base 8?\nAnswer: -3054760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*4\/6. Let h = -58 + 59. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.809213093 take away 0.01?\nAnswer: -22.819213093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 2. Let a(p) = 32 + 3 - 63*p - 2. Let o(n) = 3*n**2 + 60*n - 130. Let l be o(-22). Give l*a(w) - 33*s(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160*a**2*i + 36381*a*i**2*r + 2*a*i*r + 2*i**2*r + 22*i**2 + 8*i*r - i + 2562*r + 1 wrt a?\nAnswer: 320*a*i + 36381*i**2*r + 2*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -26. Let q be x\/(-2)*(-128)\/(-5). Calculate the greatest common divisor of 160 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/5)*w**(-4\/7))\/(w*w*w**5*w*w*(w*w**(2\/3))\/w))\/(w\/w**6*(w*w\/(w*w**(-2)\/w))\/w*(((w\/(w**4\/w))\/w)\/w)\/w*w**(2\/13)) assuming w is positive.\nAnswer: w**(-4357\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6183613.\nAnswer: 59, 311, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 566, 2189, 4878, 8621, 13406, 19221, 26054?\n\"Answer: -2*a**3 + 545*a**2 + 2*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.544 + 11.824. Let q = -0.28 + b. Let g = -12 + q. Do g and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4062701806.\nAnswer: 2, 127, 1123, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/8 + 523*u\/4 - 33756 = 0 for u.\nAnswer: 464, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 12037, 24073, 36109?\nAnswer: 48145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -5.97. What is the nearest to 0 in o, 5, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2 + (-3 - -1). What is the tens digit of (n\/4)\/((-65)\/(-18330))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + j - 3*j - 33)*(j**3 + j**3 + 0*j**3) as x*j**3 + g + u*j + h*j**2 + m*j**4 and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36598.38ml?\nAnswer: 36.59838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113409*o**2*u**2 - o**2*u - 2*o**2 + 8*o*u - o - 145*u**4 - 2*u + 195580 wrt u?\nAnswer: 226818*o**2 - 1740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3552465*c**3 - 2028066 wrt c?\nAnswer: -10657395*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3116519564 to the nearest integer?\nAnswer: 55826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x**3 + 807. Let o(r) = -13*r**3 - 1210. What is -5*o(g) - 7*w(g)?\nAnswer: 2*g**3 + 401","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5540 is divided by 5492.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 198933 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (-1*sqrt(288) + sqrt(288)))*6 + -3.\nAnswer: -3 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**4 - 63730*r**3 - r**2 + 243248?\nAnswer: -4*r**3 - 191190*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - a + 6. Let q be t(4). Put -4, q, 5 in increasing order.\nAnswer: -4, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g + 1. Let p(w) = 14*w**3 + 5*w**2 + 4*w + 74. Let o(c) = -5*k(c) - p(c). What is the first derivative of o(t) wrt t?\nAnswer: -42*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:34 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 26*t - 27*t. Solve t*a - a - m - 6 = 0, 14 = a - 5*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 1095*q - 19184. Give y(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 8050994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -1 (c) 7 (d) -0.08 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, -0.01, 25?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -221\/466620 and -229\/233310.\nAnswer: 466620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 9*u + 8. Let m = 45 + -23. Calculate the least common multiple of m and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:14 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2c0c1?\nAnswer: -2c0c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u - 15*u - 17 - 35 + 12*u. Let v be f(18). Suppose 213 = v*g - 227. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/20)\/(1\/(-5)). Suppose -4*w - n*i + 794 = 0, 5*w - 5*i - 73 - 957 = 0. What are the prime factors of w?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1165928358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 10*t**2 + 7*t - 13. Suppose 7*a = -45 - 18. Let l be f(a). Suppose -l*c = -c - 8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.547 and -0.97.\nAnswer: -1.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -41. Suppose -o = -5*o - k. Let p(n) = -6*n + 4. Let c(t) = -12*t + 7. Let s(m) = 3*c(m) - 5*p(m). Give s(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2294.8 + 2295. What is the third biggest value in -0.31, n, -0.3?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458016970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 take away 785?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -91, -149, -223, -319?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:20 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/990 and -167\/330.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102210100 + 20120?\nAnswer: -102112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) 0.1 (c) 1876\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -36.7. Let j = -17 - l. Put j, -2, 5 in decreasing order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 9*x**2 + 106*x + 1. What is the remainder when 1162 is divided by r(6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6299 - 2?\nAnswer: 6297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -130333030101 (base 4) to base 8\nAnswer: -34771421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*v - 68 - 45, -5*c - 2*v - 100 = 0. Let j be (-26)\/(-91) - c\/14*3. Does 13 divide 23 - 1\/((-1)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -5 + -58 + 43 + 103?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1460427 - 27425.12.\nAnswer: -1487852.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 822 and 6964806.\nAnswer: 6964806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 864386060*n - 37358163036116180.\nAnswer: -5*(n - 86438606)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 89, 27, -71, -217, -423, -701?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40\/3 - 13. Suppose -1648 = 35*p - 1403. Let r = -4 - -2. What is the closest to q in -0.4, p, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6025 - 5689 = -20*f + 4*f for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 627926\/9 or 69769?\nAnswer: 69769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -59*x + 8. Let g(o) = 51*o - 9. Determine 4*d(b) + 3*g(b).\nAnswer: -83*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 2*n - 10 - 4, -4*d - 15 = -3*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceeyyyesycm. What is prob of picking 1 c, 2 y, and 1 s?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose 5*l + 11 = -h, -4*h - l = 3 - 16. Suppose 0 = 3*r + a + 2, h = -2*r + 2*a - 0. Is r at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194*w**3*y - 28*w**3 - 2*w**2 wrt y.\nAnswer: -194*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - ((3 - -2) + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 3*t - 8160. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10712, -21414, -32090, -42734, -53340, -63902, -74414?\nAnswer: -84870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, r: 3, t: 1, z: 3, h: 2, q: 3}. What is prob of picking 2 r and 1 z?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 129*f**2 + 774*f. Let q be m(-6). Which is the closest to -2\/9? (a) q (b) -2\/3 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = z - 1, -h + 1 = 0. Suppose -z*u + 0 = q + 13, -3*q + 4*u + 25 = 0. Solve o - 2 + 14 = 4*k, q*k + 4*o = -10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*j - 8433 - 1917 = 19520 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 18}. Give prob of sequence kkk.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13728, 13719, 13706, 13689?\n\"Answer: -2*q**2 - 3*q + 13733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1504000 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 6*d**2 - 9*d - 7. Let x be n(-7). Let l(i) = -6*i + 9. Let h be l(x). Let u = h - -53. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1560 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*3\/6 - -5. Suppose 3*v + 4*b = 10, 0 = j*b + b - 5. Suppose v*x = -2*x + 76. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.1 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-32)\/84)*(-26)\/91\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.4, 0.06, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 1 + (-38 - (-31 + 11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**13*(x**25\/x)\/x)**(-34) assuming x is positive.\nAnswer: x**(-374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256548 is divided by 11154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 262738737 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110746.\nAnswer: 2, 55373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*g + 30, -4*t + 2*g + 41 = 47. Let o(f) = 17*f**3 + 20*f**2 - 11. Let p(u) = -6*u**3 - 7*u**2 + 4. Determine t*o(s) - 11*p(s).\nAnswer: -2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3837*u**2 - 42*u - 6. Let g(d) = 8997765*d**2 + 98483*d + 14069. Calculate -14069*c(v) - 6*g(v).\nAnswer: -3837*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*m - 33 = 26, 0 = 2*i + 4*m - 50. Solve 0 = -2*s + 5*s - v - 12, 4*s - i = 5*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 2*y - 27. Let b be w(-3). Let m be ((-33)\/44)\/((-3)\/b). Put 0, m, -2\/13, 2 in descending order.\nAnswer: 2, m, 0, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-10)\/(-4))*15. Let a(b) = b - 7. Let r be a(j). Which is smaller: r or -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let z(l) = 2*l**3 + l**2 + l + 2. Suppose -4*h + 8 = -16. Let s = 5 - h. Give s*z(u) + 2*q(u).\nAnswer: -2*u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 967\/3243?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/120 + q**5\/15 + q**4\/12 - q**3\/2 + 2*q**2. Let s be h(-3). Let t = -4 - -8. Solve -8 = -s*j - t*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54501060 and 2928?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2163*g + 895512. Give k(414).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-213)\/(9159\/129) - (-8)\/2. Let u(o) be the second derivative of -19*o**5\/10 - o**4\/12 + o**3\/6 - o. Give u(z).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2\/32*732)\/((-21)\/14).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 7. Let o be q(3). Suppose -10 = -3*x - o*l, -4*l - 7 - 9 = -3*x. Suppose j = -x*j + 50. What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 28. Let m be k(-4). Suppose m = 25*c - 30*c + 260. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2304700, -2304698, -2304696?\n\"Answer: 2*w - 2304702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*s = 2*k - 16, -5*k + 15623 = -5*s + 15593 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359 minus -0.5?\nAnswer: -1358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 10 = 12*l. Let s = -18 + 21. Solve -n = 5*f, 0*n - l*n = s*f + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6d99 + 8?\nAnswer: a6da3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 2372 and 2430 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, c: 2}. Give prob of picking 1 v and 1 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:25 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 + -924?\nAnswer: -94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 442887, 4, 0, -22.\nAnswer: -22, -4, 0, 4, 442887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 33*o**2 + 42*o - 72.\nAnswer: -3*(o - 12)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -51615, -91331, -131047, -170763, -210479, -250195?\n\"Answer: -39716*c - 11899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 0*b - 2*b)*(0 - 2 + 0 - 3 + 0 + 2 + (4 - 4 - 2)*(5 - 1 - 3) + 1 - 4 + 1 + (-23 + 4 + 4)*(19 - 10 + 21)) in the form f*b + w and give f.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 3, d: 4, j: 9, l: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 + 10*n + 2. Let l(c) = -55*c**2 + 120*c + 25. Calculate 2*l(q) - 25*v(q).\nAnswer: -10*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 172 = -4*w, 435 = 5*y + w + 4*w. What is the remainder when y is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 - -158.1. Let g = o + 22. Let b = -0.97 + 1.07. What is the nearest to b in 1, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b (base 15) to base 16.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 5*x + 807. Give f(-34).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*z + 1, -45 = -3*c - 5*z - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194400 divided by 120.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a factor of 548622130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 + 9*n**2 - 80*n + 33. What is b(6)?\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, 34, -3 in increasing order.\nAnswer: -211, -3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-90)\/70)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.31 + 2.69. Put 0, 2\/9, r in ascending order.\nAnswer: 0, 2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/36 and 28\/(-80) - 1\/2.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -54?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1140*b + 9118*b - 84809 - 2527*b + 84809)*((1 - 1 + 2*b)*(-5 + 4 + 3) - 7*b + b + 3*b) to the form u*b**2 + t*b + x and give u.\nAnswer: 7731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/90)\/(((-1547)\/(-1683))\/(-91))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11394191 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*z**3)*(119 - 2*z - 74 + 21) + (0 - 3 - 3)*(-2*z**3 + 2*z**3 + 3*z**4).\nAnswer: -22*z**4 + 132*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 236\/935 + -6\/85. Let x = 1.94 + 0.06. Let h = -2.1 + x. Which is the third biggest value? (a) r (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from {z: 2, t: 4, l: 2, o: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -32*b + 62*b - 10*b. Let o(u) be the first derivative of 2*u**2 - 9. Determine o(g(v)).\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t**2 - 51*t + 20. Let i be o(-5). Let d(z) = -z - 190. Let g(k) = -95. Let h(x) = -4*d(x) + 7*g(x). Does 26 divide h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:46 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 9:53 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 255316604 to the power of 1\/2, to the nearest integer?\nAnswer: 15979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let y(m) = -1. Suppose l - 6*l = 4*d - 28, -d = 2*l - 13. Suppose 4*u - l = -0*u. Calculate u*y(h) + r(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -576*c**3 - 5*c**5 + 573*c**3 - 15 + 5*c**5 - c**6. Find the third derivative of n(a) wrt a.\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22232 is divided by 1234.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2811 + -1)*18\/45. Suppose 0 = -5*z - n + j - 18, 3*z - 4*n - 659 = 0. Suppose z - 23 = 3*p. What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28472213 and 3754?\nAnswer: 56944426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -229 + 373. 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 98367 divided by 4205?\nAnswer: 98367\/4205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:19 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 48 = 25*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41764757 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 3*b + 1. Let t be p(-3). Suppose s = -2*s. Solve 5*z - t - 10 = s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531 = -13*l + 544*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 72 = -11*h. Let v(j) = j**2 - 6*j - 72. Does 6 divide v(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(91)*2 - sqrt(91))\/sqrt(7) + sqrt(13) + 2 + (1 + sqrt(13) - sqrt(13))).\nAnswer: -10*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1027 (b) 0.089 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n - 738. Let d = 256 - 311. Let c = n + d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71402175 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*v = -12, -3*m + 3*v - 29 = -8. What is the nearest to -1 in 2, -2\/13, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/27)\/(-4) + (-544)\/(-18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708145 + -10.145?\nAnswer: -708155.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2294*z**2 + z - 4442*z**2 - z**5 + 3 + 16*z + 2250*z**2 wrt z.\nAnswer: -20*z**3 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 2)\/((-2)\/124). Find the common denominator of (4326\/1854)\/(11\/24 + 0) and t\/(-8)*(-4)\/30.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + 243. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492871856 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 2*m**2 - m - 1. Let d be v(-2). Suppose -2*q = -5 + d. Let p = 22 + q. What is the greatest common divisor of p and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 - 9*w + 23. Let j be y(5). Is 9\/5 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72717.591 rounded to the nearest one hundred?\nAnswer: -72700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77472443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -594483?\nAnswer: 22\/594483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -709\nAnswer: -283.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 4 + 4 - 5*t - 9. Give r(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*d - 130*d + 4952421. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030 divided by 58?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -354*j**4 + 352*j**4 + 15*j**3 + 5*j**3 - 20*j**2 + 18 - 20*j + 4*j**2.\nAnswer: -2*(j - 9)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 + -59. Let y(k) = -14*k + 8. Let j(c) = 5*c - 3. Calculate g*y(i) + 11*j(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 15*y + 1207*y - 656*y)*(-6 + 10 + 18).\nAnswer: 11792*y + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29624719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7539*t - 7545*t - 4 + 10 - 3 - 3 + 15083*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 2, y: 3, d: 8}. What is prob of picking 2 y and 1 s?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(4 - 4 + 2)*(-3 - 47 - 92)*(-2*p + 4*p + 3*p + (-p - 2 + 2)*(2 + 1 - 2)).\nAnswer: 2272*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 36.3367 centuries?\nAnswer: 3.63367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {o: 5, s: 1, k: 7, z: 4, r: 1, b: 1}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25326112 to the nearest integer?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 36*k**3 + 114*k**2 - 36*k - 189.\nAnswer: 3*(k - 7)*(k - 3)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 14 = -0*h. Let d = 6 + -5. Let m = 42 - d. What is the remainder when m is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 7 + 11 - 5 + 3. Let o be h(9). Solve 0 = 2*b - o*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 4 + -8 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 202144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2393232 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -25 in ascending order.\nAnswer: -25, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32903328?\nAnswer: 2, 3, 233, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 - 158897*b**3.\nAnswer: -158897*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01085832 to 5 dps.\nAnswer: 0.01086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-472)\/118)\/((12\/(-5))\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g. Let v(j) = 4775*j. Give n(v(c)).\nAnswer: -23875*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -109*d**3 - 1767*d**2 - 385*d - 5. Determine z(-16).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 22. Give v(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0 - -1) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b - 1)*(-3*b**3 + 7*b**3 - 3*b**3) + 0 + 2*b**4 + 0 + (-1 + 2 - 3)*(-4*b**4 - 3*b**4 + 5*b**4).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 36\/7, -1, 0.012, -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*k = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22907924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 6*z**2 + 2*z + 3. Let h be (0\/(2 + -3))\/2. Suppose 4*l - 72 = -h*l. What is the smallest common multiple of l and r(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*o - o - 2*d, -2*d - 3 = -o. Let c(v) = v**2 - 8*v + 2. Give c(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b3 (base 13) in base 14?\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 107*o + 2264. Calculate z(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*v = -8, -3*v + 2 = 8. Which is the nearest to 0.5? (a) 5 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -117? (a) -2\/3 (b) 1 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q**2 + 10*q**2 + q**2 + 3*q**2 as y*q + s*q**2 + p and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2408767\/15948528 + -744\/7727. What is the common denominator of 73\/1032 and u?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*b = -16, 4*y + 46*b - 48*b = 12. Is -19\/28 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*g = 742 - 181 + 314. Let x(m) = m**2 + 3*m - 3. Let n(a) = -a**2 - 4*a + 2. Let l(c) = 4*n(c) + 3*x(c). Give l(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*f = -14, -5*f = 4*p - 2*f + 5. Let v = 4 + 0. Which is the nearest to p? (a) -2\/17 (b) v (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*v**4 + 0 + 5\/4*v**3 + 0*v + 0*v**2.\nAnswer: v**3*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*o - 7166 = 12145 - 4936 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110100111000101111011 (base 2) in base 12?\nAnswer: 55b6363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 32 = -3*r. Suppose -5*s - 20 = 0, -r*z + 2*s + 788 = -s. List the prime factors of z.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 78*u**2 - 2841*u - 4679. Calculate x(38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s + 41 - 121 = 0. Solve 0*x + 25 = 2*d - s*x, -d - 10 = 2*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -102. Is f a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 122. Is z greater than or equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose u*a + a = 1. Calculate the remainder when (-130)\/(-50) - 3\/5 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + a + 13. Determine w(-12).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -78380755.6 to the nearest 10000.\nAnswer: -78380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = -520 + 67841. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 44 + 208. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-1832))\/((-3)\/12). Let o = -13357\/1145 - j. What is the common denominator of o and 107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 6094*o\/5 + 858104\/5.\nAnswer: 2*(o + 148)*(o + 2899)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 3204492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {f: 1, j: 2, c: 3, w: 1, q: 2, z: 6}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 186*n - 98*n + 9*n**3 - 88*n.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4230231?\nAnswer: 3, 1410077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**5\/5 + 35180*l**4 + 439796*l**3\/5 + 87968*l**2\/5 - 35184*l = 0. What is l?\nAnswer: -2, -1, 0, 1\/2, 21990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -15*y**2 + 3*y - 10. Let g be s(2). Let w = -42 - g. Calculate the least common multiple of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 p when three letters picked without replacement from {f: 2, p: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -5, -4, -13, -38?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2722*v - 661. Is h(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*r + 6*l - 12, 25 = 5*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 111\/3288334?\nAnswer: 111\/3288334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/20 - 44*y**2 + 46*y. Let f(t) = -2*t - 121. What is f(x(m))?\nAnswer: -6*m**2 - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 3 - 10986*v + 12 to the form o*v + t and give o.\nAnswer: -10986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3095880051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times -187470?\nAnswer: 9560970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (365\/99 - (-91)\/1001). Let z be (-15)\/54*2\/1. Sort z, -4, h, -2\/3.\nAnswer: -4, -2\/3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y - 2 = 0. Let v(w) = -11*w - 127. Let z be v(-12). Suppose -5*m + q = 6*q, -2*m - 28 = -z*q. Sort y, 0, m, 4 in increasing order.\nAnswer: m, y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 180\/(-108)*6\/(-5). Suppose 3*k - 5*k + 26 = 0. What is the third derivative of -k*b**4 + 19*b**l + 3*b**2 + 12*b**4 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 10*u**2 - 12*u - 9. Let i be x(-11). Solve -3*l = 3*n - 18, -3*l - i*n + 12 = -5*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 304050415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77643753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513 is divided by 255?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 43 + 15. Let x = 10 - 7. What is the smallest common multiple of w and x?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71581333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001572 to 6 dps.\nAnswer: 0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5944, -11887, -17830, -23773, -29716, -35659?\nAnswer: -41602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 584, 1912, 4126, 7226, 11212, 16084, 21842?\n\"Answer: 443*s**2 - s + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**2. Let q be l(1). Let b be q\/10*1*-2. Suppose -6*o = -9*o + 42. Solve -3*a - 2*i = -o, b*i - i = 2*a - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -449*x**3 + 2619*x**2 + 447*x + 21. Calculate q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101102 - -222?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -488.35 - -5.45. Let d = q + -5.1. Let h = d - -488.523. Round h to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeeeeeeezezeeee. Give prob of picking 2 e.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - u - 1 + 4 + (8*u - 45*u - 8*u)*(-4 + 2 + 3)*(1 + 6 - 2)*(1 + 2 - 2) to k + i*u and give i.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 8, i: 1, o: 1, l: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 5*c**2 - c - 6. Let s be d(-5). Let v be (255 - -2)*s*3. Let r = v + -79. Round r to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/52 - 109\/260. Which is the closest to d? (a) -4 (b) -1\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1282129321 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 divided by -9344.\nAnswer: -233\/9344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 3\/5 (b) -0.2 (c) -236 (d) 235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, q: 2}. Give prob of picking 3 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54358283 or 54358282?\nAnswer: 54358283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0131102 millennia in decades?\nAnswer: 1.31102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:15 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -17*k**2. Determine z(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(44) - 4*sqrt(4400))) + sqrt(44))\/(sqrt(20)\/sqrt(5)*5).\nAnswer: 41*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.4, -4, -0.7, 5, 2\/3, -3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwwwkwwwwwwwwwwwww. Give prob of picking 2 w.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1795\/434 + -64\/31. What is the common denominator of (-17)\/(-3)*57\/266 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.1371ml in litres?\nAnswer: 0.4741371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 3 + -27 + 25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -20*s**2 + s. Let h(v) = -v + 1. Let k(u) = -2*u + 3. Let j = 11 - 13. Let a(x) = j*k(x) + 6*h(x). What is o(a(m))?\nAnswer: -80*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61371 - 6382691\/104. Calculate the common denominator of -59\/72 and v.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10421240 (base 5) to base 10\nAnswer: -92070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 + 2*s - 6. Let h(p) = -2*p**3 - 2*p**2 + p - 2. Let r(g) = g**2 - 7*g - 2. Let t be r(7). Let u be h(t). Is j(u) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 19 + 16 + 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*m**3 - 670*m**3 - 655*m**3 + 47 + 3 - 3 + 1990*m**3.\nAnswer: 3*m**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42, -85, 176, 741?\n\"Answer: 152*k**2 - 499*k + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -469 + 469.00000451. What is b rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71678 is divided by 122?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -17. Suppose 6 = -x, -2*f + 49*x = 53*x - 52. Calculate the remainder when f is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f + 15*f**3 + 13*f + f**3 - 3*f - 15*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 495155669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1497140 (base 12) to base 4.\nAnswer: -33330210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 139 and 3.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*w**2 + 52*w + 230.\nAnswer: -6*w + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -360352653?\nAnswer: 360352645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9336339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7014 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 101?\nAnswer: -35\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 + 4*o + 4. Let f(w) = 6*w**2 + 10*w + 5. Let s(c) = 3*c**2 + 5*c + 3. Let p(u) = -2*f(u) + 5*s(u). Give 4*p(r) - 5*z(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - -1170?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/19964 and -89\/460.\nAnswer: 99820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l + 2. Suppose 3*k + 5*v = 6, -k - 4*v - 6 = -5*v. Let w(m) be the third derivative of 7*m**4\/24 + m**3\/2 - 59*m**2. What is k*w(a) + 4*j(a)?\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = 5*u, -5*u - 1 = -2*t + 4*t. Let g be 3 + (u - (-128)\/(-4)). Calculate the remainder when 115 is divided by -2*((1 - g\/(-4)) + 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/13)\/h*h**(-2\/7)*(h**(1\/11))**(-4\/31) assuming h is positive.\nAnswer: h**(-35487\/31031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5690 is divided by 212.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -3*x**2 + 5\/3*x**3 - 1 + 1\/4*x**4 + 4*x. Let o be j(-6). Let i(s) = s**2 - 2*s - 4. Determine i(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -1\/3 (c) -0.58 (d) -0.4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-56))\/((-773)\/(-43288)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725481 and 1835613.\nAnswer: 4869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(12) - sqrt(12)*1) + sqrt(12))*-1 + 5.\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 15, 33, 57, 87, 123?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*b + 2*b. Let p be 1\/b*(-49)\/(-6). Let i = p + -5\/6. Which is smaller: 2\/7 or i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5953 + 0.5953. Which is the nearest to 2? (a) 30 (b) u (c) 3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 1 - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -55501 (base 7) to base 2\nAnswer: -11011010001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 361 + 361.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186789853?\nAnswer: 71, 2630843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28674 and 94779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = 0. Let b(u) = 2*u**2 - u**3 + 0*u - u**2 - u. Give b(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1726297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 8) + (-4 - (-17 - -8)) + -36.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/2 + 19*w\/2 - 9 = 0. Calculate w.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001000010 (base 2) in base 8?\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0558 (b) 0.1 (c) 26 (d) -5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -377*v**2 - 10*v + 55. Let c(x) = -x**2. Let q(n) = -2*c(n) - r(n). Is q(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*x - 17 = -21, 4*x + 16 = 0. Suppose 0*n - 2*n - 5344 = 0. Let s be (n\/f)\/(9004\/3000 - 3). What is s rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221649*l + 4472*l**2 + 221649*l to the form p*l**2 + g + m*l and give p.\nAnswer: 4472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j - 63 - 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16627820 is divided by 77?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 24 - -64) + 36 - 23?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/40*138\/(-69)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*h**5 + 4\/3*h**2 + 14\/3*h - 16\/3*h**3 + 4\/3*h**4 - 8\/3.\nAnswer: 2*(h - 1)**3*(h + 1)*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80065 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 3336*x**2 - 966144*x - 21307392 = 0. Calculate x.\nAnswer: -544, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/44 - 5) + 3)\/1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 17*o**4\/12 + o**3\/3 - 3*o**2\/2 - 993*o. What is b(2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 9:22 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7*h = -3*h, -5*h = -5*c + 45. Solve -4*y - 10 = -c*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3153 or -6?\nAnswer: 3153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12260 and 1130985?\nAnswer: 4523940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1460663 (base 10) to base 4\nAnswer: 11210212313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1639 and 463287.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 11:51 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4)*-2*-27. Suppose 3*m - j = 2*j + c, -4*j = m - 4. Solve -3*a + m*a - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + -73. Let y = -26699.286 - -26586. Let w = a - y. Round w to 2 dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551.7664l to millilitres.\nAnswer: 551766.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569238903?\nAnswer: 7, 11, 97, 157, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2682094940 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 6*l + 246, b - 99 + 17 = 7*l - 5*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*w + 731 = -325 - 894 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6106184 and 10467744.\nAnswer: 73274208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2 - 8. Let x be (2 - 5) + 0\/i. Suppose 3*w + 9 = 0, -5*b - 11 + 0 = -3*w. Does b = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 5*q**4\/12 + 40*q**3\/3 + 160*q**2 - 11*q. Factor m(n).\nAnswer: 5*(n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211012121 + 102?\nAnswer: 211020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 208, 0, -0.24, 14?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*a + 139*a - 10642 = -69*a. Solve -3*w = 5*t + a - 39, 3*t - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/12*-18*2\/6. Solve o*f = 168 - 108 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 - (32 + 15 + 14 + (-9 - 27) - 15).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.36, -1\/5, 2, -4 in descending order.\nAnswer: 2, -1\/5, -0.36, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90287557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3\/2, -33, 14, 2.262?\nAnswer: 2.262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2 - 8*q**3 - 6 + 5 + 2*q**2 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 8. Let y be d(9). Suppose -5*f - y + 80 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 - 2*u**2 + 2*u - 2. Let m(a) = -21*a**3 - 1 - 11*a**2 - 8 - 2 + 11*a. Give -2*m(q) + 11*s(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*k - 1374 = -136*k. What is the remainder when k is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 2\/18465 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-89)\/(52955\/210))\/(-6*(-2)\/8)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(225) - (sqrt(25) + (sqrt(25) - sqrt(125)\/(sqrt(5)*1)) + sqrt(25)))\/(5*2*sqrt(720))*-3.\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4162860, 0, 4, -1.\nAnswer: -4162860, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 260 + 2?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 + 9 - 4*m**3 - 7 - 4*m + 3*m - m**2. Let o be y(0). Factor -2\/3*x**o + 1\/3*x - 1\/3*x**3 + 2\/3.\nAnswer: -(x - 1)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 12*t**2 + 4. Let w(b) be the third derivative of b**6\/120 - 11*b**5\/60 - b**3\/2 + 2*b**2 + 723*b. What is 6*w(z) + 5*x(z)?\nAnswer: z**3 - 6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2905, -5772, -8619, -11434, -14205?\nAnswer: -16920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)*y)**(-2\/29))**11\/((y**(3\/2)\/(y*y**(2\/13)))\/(y**(-1\/2))**(3\/28)) assuming y is positive.\nAnswer: y**(-24455\/21112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -84, 5, 3, -2 in ascending order.\nAnswer: -84, -2, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10632 + -2315?\nAnswer: -13250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 19, 0.5, -87, -1, -0.5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 771, 1157, 1543, 1929?\nAnswer: 2315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 2*c**2 - 3*c + 2. Let s be d(-3). Suppose -3*b + 2*b = -s. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275990, -275924, -275856, -275786, -275714, -275640, -275564?\nAnswer: -275486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 1:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72022 or -72070?\nAnswer: -72070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 172008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 - 17*h**3 + 9*h**3 - 4*h**3.\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137 + -820724.\nAnswer: -820587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312 divided by 2.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 32 = 424. Suppose 2*t - 16 = -2*j + 26, 0 = -2*t + 8. What is the remainder when m is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4465, 10727, 18779, 28621, 40253, 53675?\n\"Answer: 895*o**2 + 3577*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose 0 = 5*g - 15 - m. Suppose -33 = -4*l - 5*x + 5, 5*l - 66 = g*x. 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 = 10 + -5. Let h be (-2)\/j + 0 + 1. Let v = -2\/47113 - -8568\/47113. Is v greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 11*h - 14. Let a = -3637 + 3641. Let i be 12\/18*99\/6. Let d(y) = -4*y + 5. What is a*l(o) + i*d(o)?\nAnswer: 4*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 17. Put 5, -5, o in decreasing order.\nAnswer: o, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:28 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-10))\/((-792)\/(-2640)). Suppose 5*x = 4*j - 3*j + 11, 3*x - 9 = 3*j. Differentiate -5 + 26*c**k - 59*c**2 - 1 + x wrt c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 99?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Let r = -53793 + 53795. Solve -4 = -r*v - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 divided by 12\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**5 + 2487*q**4 - 13276*q**3 - 119*q**2 + 2*q + 23853?\nAnswer: 60*q**2 + 59688*q - 79656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:48 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-265*v - 30*v**2 + 5 + 31*v**2 + 264*v)*(-3*v**2 - 6*v**2 - v**2) to the form h*v + w + y*v**4 + t*v**2 + g*v**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 2\/45 (c) -0.02 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 + 6 + (-12)\/3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 32\/59 (c) -3.3 (d) -1\/4 (e) -1148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8602.\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-11) - -1)*1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4)*(-592*s + 592*s + 132*s**4 + 5072*s**4).\nAnswer: -20816*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*l - 2, 2*l + 4 = 4*p - 4. Solve 0*v - p*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -511\/26575 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 19*a - 25. Calculate z(-15).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/(-7) + (-218)\/(-32) and 61\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 8*y - 23 + 10*y - 25*y. Let n be b(-4). Suppose -129 + n = -4*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0. Suppose 17 + 1 = 3*z + 3*u, -18 = -5*z - u. Suppose 3*j = 5*m + 21, 4*j - 45 = -2*m + z*m. Solve j = -3*k - x*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - w + 19 = 0, -15 - 10 = -3*q - 4*w. Suppose -2*z - 138 = 3*d - 361, 142 = 2*d + q*z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21760725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 4\/5 (b) -1\/171 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2758 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 + 6 + 6 - 12*a - 8 + 6. Let s be k(1). Solve 29*h - 28*h = s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*u**3 - 2 - 21*u**3 - 22*u**3 - 6*u**3 + 46*u as l*u + x + z*u**2 + t*u**3 and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15*b**2 - 4*b - 10. What is r(4)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 59 + 74 = 0. What is the third derivative of -6*c**b - 4*c**3 + 3*c**3 + c**3 - 33*c**2 wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**3 + 1404*w**2 + 1392*w - 2800 = 0.\nAnswer: -350, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/2)\/(0 - -1). Let d(m) be the second derivative of -m**5\/5 - m**4\/6 + m**3\/6 + m**2\/2 - 58*m. Let f be d(c). Solve -n = f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {o: 1, i: 3, f: 3, n: 1, k: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 1242384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/(-80)*(-6 + 10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16893*k + 1614*k**2 + 16893*k - 1616*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 21 + 20 - 37 - k. Determine p(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 289 and 1445?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - 17*v + 17. Give p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -f + 11, 0*f + 2*f + 6 = -w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4\/3, 0.2, -2\/4397, 0.11 in descending order.\nAnswer: 0.2, 0.11, -2\/4397, -3\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -2843.76.\nAnswer: 227.5008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38.997 + 0.003. Let n = w + -43. What is the biggest value in 0.25, -0.5, n?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvfcaccyccn. Give prob of picking 1 n and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 16. Let n be 399\/(-15) + d\/(-10). Is 4*(1 - n\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3 + 19994*b**2 + 120050*b - 140042 = 0.\nAnswer: -7, 1, 10003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let j = 1307 + -721. Suppose -8 = j*s - 594*s. Solve -l + 6 = 5*d, 2*d + 4*l = 7*d - s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 28*o**2 - 7*o**2 - 23*o**2 + 9*o - 10*o - 151. Let x(r) = r. Give x(h(l)).\nAnswer: -2*l**2 - l - 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 23*d**2 + 61*d - 26. Calculate f(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.2 - 23.7. Sort -1\/6, -1, o, 1\/5.\nAnswer: -1, o, -1\/6, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -12. Let s(o) = -f*o - 2 + 4 - 1 + 0*o. Calculate s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j - 149*j + 19*j + 54*j.\nAnswer: -130*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:58 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 531388 and 1211416?\nAnswer: 3716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 169320\/285 - (222\/(-57) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*d = -f + 1, -2*f + 10 = 2*d. Suppose -f*h + 4 = 8. What is the units digit of (4\/6)\/(h\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -159 + 21143?\nAnswer: 20a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, a: 1, y: 3}. Give prob of sequence ia.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7859 - 7864. Let d(o) = 6*o**3 - 15*o**2 + 4*o + 4. Let z(j) = 7*j**3 - 15*j**2 + 5*j + 5. Give h*d(y) + 4*z(y).\nAnswer: -2*y**3 + 15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (-6 - -17)) + -5 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 29520*w**3 + 88525*w**2 - 59010*w.\nAnswer: 5*w*(w - 5901)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-m - 2*m + 5*m) + 880 - 994*m - 1793 + 919 + 0 + 0 + 2*m + (0 + 3 - 4)*(-4*m + 3*m - m) in the form p*m + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/887 or 0?\nAnswer: -2\/887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (209\/(-44))\/19 - (-243)\/24 and -53\/114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:45 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/49 + (-1354)\/63. Let w = a + 22. Let u = -0.2 + 0.2. Sort w, u, -4 in descending order.\nAnswer: w, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 25*u**4 - 53*u**3 - 27*u**2.\nAnswer: u**2*(u - 27)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -1\/2*u**2 + 0*u - 1. Let d(i) = 416*i**2 + 2 - 2 - 419*i**2. What is d(q(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 2*t - 6*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + 966\/112)\/(4\/(48\/(-9))). What is the nearest to -1\/4 in -33, 0, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163 less than 8242072220?\nAnswer: 8242073383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11011420 divided by -6\nAnswer: 5505710\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433760790?\nAnswer: 2, 3, 5, 167, 86579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 286216\/(-41895) + 128\/(-72) + 4\/(-70)\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23474554?\nAnswer: 2, 269, 43633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 24*n**2 - 3*n + 472. Give l(-23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + b + 459. Let y be d(0). Suppose -y = -5*m + 6. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2\/5 + 848*p\/5 - 2816 = 0?\nAnswer: -440, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 - 17*n**2 + 46*n + 189. Calculate t(-6).\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + s**2)*(2*s - 2*s - 3*s) + (-285 + 101*s + 285)*(2*s + 2*s**2 - 2*s) + 2*s**3 - 2*s**3 + 2*s**3.\nAnswer: 201*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/37 + 142\/111. Let v = 670 - 666. What is the fourth smallest value in r, v, -5, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Suppose 0 = -4*o + g*v - v - 4, o + 23 = -5*v. Let m = 7 + o. What is the remainder when 10 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268 - 185. Suppose 203 = -3*r - 5*a - v, -5*a + 428 = -4*r. Let w = r - -179. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 11. Suppose -2*y + y = -1. Is (-5)\/(-5) - y*c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197573953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 46*x**3 + 42*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(15 - 15 - 2*k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*5*(-3*(1*(sqrt(204)*-2 + sqrt(204)))\/sqrt(12)*1)**2.\nAnswer: -11475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 897*r**3 + 107694*r**2 + 3235680*r + 194400.\nAnswer: 3*(r + 60)**2*(299*r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423093.\nAnswer: 3, 11, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*p + 12. Suppose 0 = 4*r - 2*t - 64, 2*t = -r + t + 16. Solve -p*g + 2*j = -r, -3*g - 4*j - 6 = -0*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-9))\/(20460\/540 - 39)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/(-3))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16793710345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-1) + 4)\/1. Let u = -2 + y. Suppose c = u*c. Solve -f = -c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-2))\/a**(-6))\/(a\/a**(-2\/5))**(-28))\/((a**5\/(a\/(a**(-2\/9)\/a)))\/(a\/a**3*a*a\/((a\/(a**(-5\/6)\/a)*a)\/a))) assuming a is positive.\nAnswer: a**(3833\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 5*u**2 - 14*u**2 - 2*u**2 - 25*u**3.\nAnswer: -25*u**3 - 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 6*j + 5. Let v be k(-5). Let q = v - 51. What is the common denominator of q and (41\/(-2) - -5) + 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1555 + -0.8445. Let g = -12.09 + 12. Let k = g + 0.21. Is k <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18131?\nAnswer: 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j - 21. Let h(x) = 5*x + 32. Let i(u) = -5*h(u) - 8*l(u). What is the units digit of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = -17 + 61 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/13 + 1452*y**3\/13 + 225990*y**2\/13 + 34432*y + 17160 = 0.\nAnswer: -130, -1, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 5 (b) -34 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 599132008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*x + 489*x + 2574 = 1021*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/28*3\/(-6). Which is smaller: g or 0.07?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggigiigiigggigiiig?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 9 + -1 + 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9809 + -9808.907175. Round x to three dps.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -7. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v + 124*v = 890*v + 9372 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 6 + 3*x + 3. Let m be y(-6). Suppose 7*v - 4*v + 3 = -m*s, -2 = -3*v - 2*s. Sort v, 3, 0.\nAnswer: 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140.616 - 117.57. Let j = b - -0.054. Round j to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2345791 - 8.89.\nAnswer: 2345782.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -54.\nAnswer: 19\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2781\/7 - -403. What is the common denominator of 2\/101 and w?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1\/30, 0.9, 1\/5, -2\/9, 1\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3678 divided by -1226.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22035 + -22126.69. Round f to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084 - 41948094.5334.\nAnswer: -41948094.4494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-21 - -9) + 9 + 2287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85926998.\nAnswer: 2, 47, 914117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475 is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -387*f**3 - 4*f**2 + 2*f - 14. Let g be r(4). Let m = g - -2185811\/88. Find the common denominator of 63\/2 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 1. Let b be x(2). Let r be b\/((-14)\/4) - -10. Let u be r\/(-6)*(-3)\/(-2). Let y(i) = -i - 1. Let z(p) = p**2 - p - 2. Give u*z(g) + 4*y(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 35 + 687359*f - 687363*f + 7*f**2.\nAnswer: 8*f**2 - 4*f - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 27*b - 15. Calculate x(27).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*v**4 - 564*v**3 - 4*v**2 - 117293*v.\nAnswer: 132*v**2 - 3384*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 2. Let f be (-63)\/n + (-4)\/(-16). Suppose -j = j - 24. Solve 2*k + 3*y = 5*k + j, f = -4*k + 2*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wctw when four letters picked without replacement from ucwuwtdwwt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 15*l + 26. Let c be d(-12). Let f = c - -23. Let r(u) = u**2 - 4*u + 1. Let s be r(8). Solve s = 5*j + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 0 + 16 + (-6 - (15 - -2)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*d - 10 = -110, -d = 4*h - 122. Calculate the remainder when h is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-654)\/763*(-2)\/18.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:43 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 99 = 351. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 + 18 = 5*m, 0 = -4*m - r. Let h(t) = 12*t. What is the least common multiple of h(m) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2918004251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40290 = 10710. What is t rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1416488921191\/1780 - 795780313. Let d = a - 24\/445. Find the common denominator of (651\/18)\/7 - 1 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*y = 30, 3*y - 21 = -5*d + y. Solve -8*n = -d*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiuxpwdi. What is prob of sequence xw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136935508 to the power of 1\/2, to the nearest integer?\nAnswer: 33718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 1)*(-8 + 0 + 2 + (-3 - 1 + 3)*(-1 + 3 - 1) + 5 - 4 - 4 + 2 - 2 - 4)*(-3*i + 0*i + 5*i) to the form f*i + j and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1\/3 (c) -32859 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*h - 13*h + 0.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - i = -44, 3*i - 28 = -2*g - 6. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138677542*x + 138677500*x - 277355041*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -91 + 0 + 2 + 12 - -30\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z**2 - z + 4*z**2 - 2*z**2 - 3*z**2 + (-11*z + 0*z + 5*z)*(86*z - 8145 + 8145))*(-2*z - z + 0*z).\nAnswer: 1548*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -3)*51\/6*-5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100111 + -5?\nAnswer: -100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 2 = -2*v, 28162*s - 2*v = 28165*s - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 + 1405*t\/2 - 1974025\/4.\nAnswer: -(t - 1405)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/((22\/11)\/4). Suppose 2*r + 4*o - 14 = 0, i*o + 4 = 2*r + 2*o. Let 4*z**2 + 4\/3*z**4 + 14\/3*z**r - 2\/3*z - 4\/3 = 0. What is z?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 52*r**2 - 356*r + 4. Calculate l(44).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -30, -4, 0 in descending order.\nAnswer: 5, 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**2 + 5441420*x - 1480452580820 = 0.\nAnswer: 544142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 29*p**2 - 6*p + 6. Let j(w) = -w**2 + w - 1. Determine -6*j(u) - x(u).\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 3*b**2 + 12*b - 8. Let v(q) = 9*q**3 - 7*q**2 + 25*q - 17. Give 7*c(t) - 3*v(t).\nAnswer: t**3 + 9*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gny when three letters picked without replacement from {j: 8, v: 4, g: 1, y: 1, n: 1}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34575?\nAnswer: 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8076 is divided by 1999?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/8, 2\/13, -5, 129, 1?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59981 or 59993?\nAnswer: 59981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - p - 1. Let t = -1 + 2. Let f(m) = -m**4 - 7*m**2 - 3*m - 3. Let a(q) = t*f(q) - 3*j(q). Find the third derivative of a(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**5\/20 + 5*o**4\/4 + 8*o**3\/3 - 9*o**2\/2 - 46*o. Let w be g(-5). What is the greatest common divisor of 46 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1023 >= -1022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = -3. Let s be (0 - (-13 - -1))*p. Let h(z) = -z**2 + 12*z + 2. What are the prime factors of h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 33060*u**2\/7 + 19507758*u + 78106616.\nAnswer: 2*(u - 8267)**2*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1610 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1)*(-4 + 34\/8). Suppose -3*r + 5*l + 80 = 0, -r + q*l - 3*l = -36. Let a(b) = r*b + 1 - 1 - 35*b. Let k(x) = -x - 1. Calculate -a(h) + 4*k(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -202*x - 3. Let d(c) = 67*c + 1. Let w(n) = 3*d(n) + s(n). Let y(u) be the second derivative of 19*u**4\/12 - u. Give y(w(g)).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 548692808*a*z**3 + 2*a*z + 87234*a + z**2 + 11 wrt z?\nAnswer: 3292156848*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 5) in base 9?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*y**2 - 2 + 19019*y - 19019*y in the form l + z*y**2 + h*y and give z.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3126, -4, -1 in ascending order.\nAnswer: -3126, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, d: 12}. Give prob of sequence uudd.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/3? (a) -2 (b) 4\/5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -69?\nAnswer: 49\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136630838 is divided by 219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z - 30. Let n be g(5). Let w be (6\/n)\/(4\/(-20)). Suppose -w*v + 84 + 177 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.05511609\nAnswer: 0.0011023218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - sqrt(931)*2) + 2 - (6*(sqrt(931) + sqrt(931) + 0))**2) + 2.\nAnswer: -134060 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 87563, 700724, 2365085, 5606246, 10949807, 18921368, 30046529?\n\"Answer: 87600*z**3 - 39*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27097*t**2 - 25741*t wrt t.\nAnswer: -54194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-262)\/655*(26\/3 - 7)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1469666197 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**4 - k**3 - k**2. Let c(l) = -l**4 + 83*l**3 - 7*l**2 - 256*l - 168. Let u(r) = c(r) - j(r). Suppose u(g) = 0. What is g?\nAnswer: -42, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 - 4609011644.\nAnswer: -4609011574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l - 126 = -91*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203232 - 10?\nAnswer: -203302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -9*k + 8*k - 57, k = 2*i - 29. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 924\/19 - 133037\/2736. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111020121 (base 3) to base 6\nAnswer: 343454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**5)))\/z**(5\/6) assuming z is positive.\nAnswer: z**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 + 2062562*c**2\/3 + 531775406848*c\/3 + 2658825470440\/3.\nAnswer: 2*(c + 5)*(c + 515638)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 591*b - 590*b - 2 - b**3 + 41*b**2 + 5*b**2 + (-1 - b + 1)*(-b**2 + 4*b**2 - 2*b**2) + b**2 - 2*b**3 - b**2.\nAnswer: -4*b**3 + 46*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4.95. Let v = w - 0.45. Let l = 462 - 462.5. Which is the closest to 2? (a) -3 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9677 is divided by 97?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 648 = z - b, 5*z + 5*b - 3230 = 0. Let g = z + -265. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23855179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4 - 11. Let q(n) be the second derivative of 0 + 0*n**2 + 1\/20*n**5 + n + 0*n**h - 1\/12*n**4. Solve q(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*k + 89*k - 960 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99219097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 363248759131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 456 = -3*y + 2*k, 3*y = k - 466. Let d = -152 - y. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 9 = 7*i. Let z be 0 - (-22 - -2)*i\/6. Solve 0 = 4*a - 3*q - z, 0*a + 2*a - 12 = -2*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/11)\/(w**(-1\/10)\/w)*(w\/(w\/(w*w\/((w*w**(-1\/4)*w*w)\/w))))**(2\/131) assuming w is positive.\nAnswer: w**(9263\/7205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30269 + 36254?\nAnswer: 36254.30269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275677767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 > 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -274 times -0.2\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2. Let d(p) be the second derivative of -11*p + 0*p**2 + 5\/12*p**4 + 0 + 0*p**3. What is q(d(v))?\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 52654?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvttvltrtvgrtgfvvvtr. What is prob of sequence rf?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 86*j = 174. Put -4, -9, j in increasing order.\nAnswer: -9, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*c + 855 = -49*c. Let w = 1 - 2. Which is bigger: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68.1 - 64. Let s = -4 + c. Let m = 98.09 - 98. What is the smallest value in s, 1, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 11 = 18 + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 3:25 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68\/7 - -218\/21. What is the smallest value in -1\/4, 3\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193101 is divided by 365.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33cb + -b76?\nAnswer: -3f41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*v = 39, 3*z - 2*v - 16 = 2*z. Solve -2*o + z = -7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 5. Let n(z) be the second derivative of -z**3\/6 - 2*z**2 - 27*z. What is 5*g(k) + 6*n(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 + 6*q + 1. Let u be z(5). Suppose 0 = -c - 4*f + 21, 5*c - 5*f + u*f - 29 = 0. Solve b + c = 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let h = 0.074 + -0.674. Let z = p + h. Put z, 0.5, 6\/5 in increasing order.\nAnswer: z, 0.5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*o + 21245 + 78052 = 0 for o.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(704) + -1)*-6)**2 - (-1 + sqrt(704) + 0 + -3).\nAnswer: -200*sqrt(11) + 25352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 + -233.5. Let g = -1 - -1. Which is the nearest to -2\/5? (a) g (b) 3\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.10992 + -0.112. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161? (a) 2 (b) 0.2 (c) 34 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0, -2, -1.7, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/108 + l**3\/27 - l**2\/18 - 65*l + 62. Let m(w) be the first derivative of u(w). Factor m(p).\nAnswer: -(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 126551930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110.51 - 10.39. Let i = q + 120.89421. What is i rounded to four dps?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 4*n + 2. Let a = -23 + 23. Let p be j(a). Let u(w) = 4*w - 9. Let i be u(6). Solve 2*l - p*h = 7*l - i, -l + 4*h = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 7 = -74*x. Suppose x*b - 8*b - 5*j = -3, -3*b + 9 = 2*j. Let r = -24 + 48. Calculate the greatest common factor of r and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 1074\/7*y - 1068\/7 - 6\/7*y**2 = 0.\nAnswer: 1, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 (base 14) in base 13?\nAnswer: 81c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -34*i + 191. Determine a(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**2 + 899650*f + 6666798?\nAnswer: 10*f + 899650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrrrerrj?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6977718 and -129\/170.\nAnswer: 34888590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/19 or 1\/3?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -72*p**3 - 2*p**2 + 7*p + 7. Let k be 88\/(-8) - -6 - -1. Is w(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 4, 2\/37, -2\/131?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 + 2.3. Let g be 5*(-6)\/4*28\/165. Is g at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 12. Let x be u(-9). Suppose -12 = -7*g + x*g. Factor -2*q - 2*q**2 + g*q**2 + 0*q.\nAnswer: q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y - 2*y - 8*y + 854 + 0*y + 775 to q + r*y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*a + 3*a = -29, 2*z = -4*a - 18. Which is bigger: z or -20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 9*o - 472. Let x = 62 - o. What is the remainder when 4 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -624386*q - 1873138. Calculate m(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5666, 11306, 16908, 22454, 27926?\n\"Answer: -3*h**3 - h**2 + 5664*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 11569?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899411 is divided by 1678.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3645348?\nAnswer: 1\/3645348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*s - 3*v + 21, -v + 42 = 5*s. Suppose w = -4*i - 0*w + 1123, 4*w = 5*i - 1367. What is the greatest common divisor of s and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3266\/3588 + 15\/(-18).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**3 - 24*l**3 - 96*l**3.\nAnswer: -153*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1565408 times 59?\nAnswer: -92359072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4 (c) -4\/7 (d) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 82968 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -76*l**5\/5 - 25*l**2 + 35. What is the second derivative of d(g) wrt g?\nAnswer: -912*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -521312 - -2?\nAnswer: -521310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14784 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeebeblebbiblblbb. What is prob of picking 1 b and 1 l?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 1 + 12 = -5*b, 3*b - 125 = 134*p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 29, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45539 divided by -6\nAnswer: -45539\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2 + 33502. Let n(k) = 18*k - 5. What is l(n(i))?\nAnswer: -1620*i**2 + 900*i + 33377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 14, e: 1}. What is prob of picking 2 a?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**4\/8 + v**3\/6 - v**2. Let s be (-5)\/1 + 3\/1. What is the units digit of f(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2433, 9674, 21743, 38640?\nAnswer: 60365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14)\/(7*2\/(-4))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 143889.\nAnswer: 1151112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1578, 815, -1220, -5151, -11602, -21197?\nAnswer: -34560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 3*t - 2 + t**4 + 0*t**3 + 3*t**3 + 1 - 16*t**2 - 4*t**3 to y*t**3 + r + w*t + u*t**2 + a*t**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 323498 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + p - 33 = -0*p - 0*p - 18, 5*p = -43*c + 167 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18 - 13) + 19\/(-3). Which is the closest to -1? (a) -1 (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -6803155?\nAnswer: 6803158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 16*o + 60. Let n be d(-8). Let z be (((-216)\/(-42))\/(-3))\/(n\/14). Solve 4*k - 8 = z*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*i**2 + 40*i**2 + 18*i**2)*(0*i - 3*i + 4*i)*(1 - 4*i - 1) as y*i**3 + a*i**2 + p + m*i + k*i**4 and give k.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -199\/7 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeezooooo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*w**3*x**2 + 54560*w**3 - 2*w**2*x**2 - 759*w*x**2 - w + 608*x**2 - x wrt w?\nAnswer: 540*w*x**2 + 327360*w - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {p: 1, w: 1, g: 1, f: 2, j: 1, x: 9}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02591 + 4.97409. What is the nearest to -0.06 in 4, 7\/9, 3, d?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-8 + 4) - 5) + 0 + 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 17802 = -z, 574*b + 11902 = 576*b + 5*z. What are the prime factors of b?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 7, h: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6565321 (base 7) to base 14.\nAnswer: -16db48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m. Suppose 5*h - 223 = -3*z, -254 = -0*z - 4*z + 2*h. Let g(a) = -72*a - 4. Let o(i) = z*t(i) + 6*g(i). Find the first derivative of o(v) wrt v.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 times 1699.8581\nAnswer: -628.947497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22831 and 14536?\nAnswer: 4200904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34 - 34 - 3*w**3 - w**2 + 19*w**2 wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.24 - -13.24. Let z = m + -8. Which is the biggest value? (a) -2\/7 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801722291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, -1\/20, -1\/3, 1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from aataslt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 2*d**3 - 147 + 290.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 349959.1 nanograms in milligrams?\nAnswer: 0.3499591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 5700.\nAnswer: 74100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 102, 121, 140?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szsszssszsz. Give prob of picking 3 z and 1 s.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 + 16*m**4 - 15*m**3 - 580*m**2 + 1636*m - 1056 = 0. What is m?\nAnswer: -6, 1, 2, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 363 and 98.\nAnswer: 35574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 4*o + 2*t + 5, 5*t - 5 = -4*o. Suppose 4*h + 2*d + o*d + 14 = 0, 4*h + 3*d = -11. Let i be 6\/8 + (1035\/372)\/h. Do i and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 = -28. Let r(x) = -x**3 - 3*x**2 - 4*x - 7. What are the prime factors of r(t)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 8*t - 7. Suppose 3*a - 20 = 4*s + 26, a - 2*s = 18. Let v(p) = -p**3 + 10*p**2 + 2*p - 15. Let h be v(a). Is i(h) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**5\/20 + 3*f**4\/4 - 5*f**3\/6 - 8*f**2 + 3*f - 4. What is the remainder when 6\/7*(-2 - -37) is divided by m(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1769\/5 + -353. Suppose -1\/5*n**3 + 0*n - 3\/5*n**2 + s = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.7 - -16.5. Which is the smallest value? (a) 3\/341 (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ac7c2 (base 14) in base 4?\nAnswer: 1212031012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:25 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**2 + 3*k**2)*(-2*k**2 + k**2 - k**2) + k - 7*k**4 - 3*k + 0*k.\nAnswer: -9*k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/334 + 4439\/83834. Is u less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 21. Let i = c - -16. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.1 + 35. Let y = 0.1 + f. Let p be -1*(-3 - (-57)\/21). Which is the biggest value? (a) y (b) p (c) -1\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49.53 + 13.37. What is b rounded to 0 dps?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 3*i**2 + 4*i + 4. Let g be m(3). Let h(y) = y**2 + 4*y - 5. Let a be h(-5). Let p = a + 2. Calculate the greatest common factor of p and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 28*b**2 + 26*b + 9. What is v(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672658, 5381384, 18162224, 43051240, 84084494?\nAnswer: 145298048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310230120 (base 5) to base 4.\nAnswer: -10303022300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109 smaller than -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 4*a - 12. Give w(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1813 + 1813 - 10*w - 39*w - 21*w - 35*w.\nAnswer: -105*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 267159 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Let z(b) = 2*b - 5. Let m(g) = 2*r(g) + 2*z(g). Let h be m(10). Suppose d = 4*k - 6, -4*k + h = -0*k. Solve -d = -0*s + s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*s - 2*s**2 - 2*s)*(2 - 1 + 3) - s**2 - s**2 + s**2)*(-3 + 4 + 1) to q*s + w + g*s**2 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:09 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430301 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/7)*w)\/w)**41*(w\/(w\/(w*w\/(w\/(w**24*w*w)*w))*w)*w)\/(w\/(w\/w**(-9)*w*w)) assuming w is positive.\nAnswer: w**(423\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 6*s**2 - s - 4. Let q be c(-6). Let l be 0*q\/(-4)*-1. Let b = 6 + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 90782?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkztjtwwfwkfztkzwzkw. What is prob of sequence fwtw?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, w: 1, b: 2, j: 4}. Give prob of sequence jjgb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759575659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.3 + -1.7. Let n = r + 14. Is 1\/3 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.07. Round l to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 6 (c) -1\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1491263*l - 227*l**3 + 1491263*l.\nAnswer: -227*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.3 and 6003119.\nAnswer: 6003113.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 15344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 158 - c - 311 + 154 + 115 as o*c + z and give z.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.00013? (a) -3 (b) -0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2137337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465206 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(3404\/(-1035)))\/(24\/(-8)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -16*n - 5*n + 19*n - 39. Give t(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11428.12 minutes in microseconds?\nAnswer: 685687200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2639072894 take away 31338?\nAnswer: -2639104232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)*d*d**21*(d\/(d*d**20))\/(d**(-2\/7)*d*d*d) assuming d is positive.\nAnswer: d**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2215 - -10?\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4042636509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 + 4.22. Let y = -1.504 + o. Let b = y + -0.056. Round b to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5963 is divided by 53?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 24*t**2 + 0*t - 4*t + t - 2510*t**2.\nAnswer: -2486*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1574\/5 or -314?\nAnswer: -1574\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and (84\/35)\/(-5*(-4)\/400).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 v when four letters picked without replacement from {o: 2, v: 4, b: 6, t: 1}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:36 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616181 = -4*m - 0*m + d, -2*d = -3*m - 462142. Is 2\/(-5) - m\/60 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88315537.\nAnswer: 88315537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b + 4*b + 95 = 317. Let 0 + 0*z + 1\/3*z**b - z**2 = 0. What is z?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 + (623\/84 - 7). Which is the closest to 1? (a) -0.5 (b) -1\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013375 to 6 decimal places.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*-1*((1*4*sqrt(325) - sqrt(325))**2 + 1).\nAnswer: -29260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51525180 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**27\/c**(-8))\/(c*c**(-32)*c**(-3\/2)))**12 assuming c is positive.\nAnswer: c**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31144965 to the power of 1\/2, to the nearest integer?\nAnswer: 5581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 6. Suppose -l - u = u - 10, -u + 50 = i*l. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and 24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*o**3 - 2*o**3 - 5 + o - o**3 - o + (179*o - 97*o - 15*o)*(2*o**2 + 3*o**2 - 4*o**2) to b*o**3 + n*o + t + v*o**2 and give b.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88695300 a multiple of 2460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = 3*a. Suppose 0*j + 2 = 3*p - a*j, 2*j = -2. Factor -2\/5*r**2 + p*r + 0.\nAnswer: -2*r**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*o**2 + 8\/5 - 2*o.\nAnswer: 2*(o - 4)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 0.09, 703, 17, 3\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 400.89929 to one dp.\nAnswer: 400.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a microgram in nanograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 278595 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/16282 and 41\/4652.\nAnswer: 32564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0018 - 0.1806. Round a to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719975069.\nAnswer: 11, 65452279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 8b8?\nAnswer: -8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 17266144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 316020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175799*u - 9*u**3 - 175799*u.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8012*c**4*v**2 - 39*c**3*v - 8*c**2*v**2 - 3*c**2*v - 4*c + 1461*v wrt c?\nAnswer: -192288*c*v**2 - 234*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1242\/2208)\/(6\/4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10130 (base 4) in base 5?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q**4\/9 - 17780*q**3\/9 - 309784*q**2\/9 - 506032*q\/9 + 9472 = 0. What is q?\nAnswer: -666, -16, -2, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 = 17. Let k be 3\/6 + (-14)\/j. Suppose g - 3*g + k = 0. Solve -4*i - 4*c - 24 = -3*i, -3*i - 2 = -g*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3)**(-48))**12\/(y**15\/y**(-1\/29))**48 assuming y is positive.\nAnswer: y**(-71040\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 36084*n - 36082*n + 190 to the form a*n + b and give b.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6429615 rounded to 1 decimal place?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 + 1)\/(4\/8). Let x be i\/5 + (-2)\/5. Suppose 4*d + 2*o + o = 67, 0 = x*d - o - 63. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 46 = -4. Solve 0 = -2*q + d - 5*d + 16, 5*d = b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1836743 micrograms in kilograms?\nAnswer: 0.0000000001836743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283 - -285. Which is the third smallest value? (a) -116\/11 (b) -3 (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2882*j + 5871*j - 2989*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:16 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -82*h + 30*h + 0 + 28*h - 1 + 22*h. Calculate i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-6)*2202\/(-5872)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -55099030 to the nearest ten thousand.\nAnswer: -55100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -t - 87. Let p(x) = -x**3 + 22*x**2 + 17*x - 17. What are the prime factors of p(t)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 - 75*z**4 + 255*z**3 - 265*z**2 + 90*z.\nAnswer: -5*z*(z - 1)**3*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*l - 3*u - 65, -4*u = 2*l - 20. Suppose -8*a + l*a = 20. Is (1*-34)\/((-10)\/a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51244173247 take away 3?\nAnswer: -51244173250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.0747\nAnswer: 0.2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8 + (-2)\/4. Solve j*x = -2*x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 619773.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245 + 734\/3. What is the smallest value in 0.05, d, -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/1*((-150)\/(-70) - 2). Let x = 0.18 + -0.33. Let y = -0.27 - x. Is y at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x + 9*x - 11*x**2 + 4*x - 7*x - 11*x.\nAnswer: -11*x**2 - 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 13*q**6\/24 - q**5\/30 + q**4\/3 - 12*q**2. What is the third derivative of b(c) wrt c?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 5*k + 5, -k = 3*a + 18. Let n be 15\/1 - k\/1. Let g be 2\/(3*3\/n). Solve g = -4*d - 5*r + 25, d + 21 = 4*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -80. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2048)\/(-288)*(-126)\/28?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, a: 2, r: 4}. Give prob of picking 1 r, 2 a, and 1 e.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/5*(624\/4896)\/(-13).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1925 and -0.27.\nAnswer: 1924.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-76)\/(-10) - (12\/15 + 217\/35). Which is the fourth smallest value? (a) -1\/2 (b) 25 (c) k (d) 2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 712 - 512. Calculate the highest common divisor of q and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 372106260 times 1\nAnswer: 372106260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + 0 + 3. Suppose 2*d = 2 + 2. Suppose -a*o + 9 = 0, 4*o + 211988 = d*y - 6*y. Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(180) - -1*sqrt(180) - ((sqrt(45) - (sqrt(405) - sqrt(45))*-4) + sqrt(45)))\/(sqrt(441)*-1 + sqrt(9) + (sqrt(225)*2 - sqrt(225)))*-2.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 311473481*h**2*u - 19909*h*u - h - 103 wrt h?\nAnswer: 622946962*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 498 and 2490.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3 - 12. Let k = 298 + -294. What is the second derivative of -y*q**2 + 2*q - k*q**2 - q + q wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c. Let l(o) = 200*o**2 + 2. What is u(l(z))?\nAnswer: -1800*z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 22. Calculate the smallest common multiple of 8 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 11*f**4\/24 - f**2 - 97*f. Let t(v) = -70*v**2. Determine t(h(y)).\nAnswer: -8470*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + -9 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 24*l**3 - 52*l + 44*l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1156 + 573 + 582 - 351*z.\nAnswer: -351*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 - 7*m + 10. Let p = 35 + -33. Calculate the remainder when g(p) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3679 - -3679. Solve -13*y + 24*y = c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 788*j**3 - 4*j**2 + 15*j - 14. Calculate x(1).\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*6*(4 + -3). Let i be (v\/18)\/((-1)\/(-3)). Let l be (2 + i)\/(0 + 1). Put 5, 1, l in increasing order.\nAnswer: l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/55*2*(-160)\/24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037607109 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 2:28 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101300 + -13?\nAnswer: 101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/2531255?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -2) + -17 + 15 + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-6 + (-4 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 1:55 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8841715 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/2 + 11*b\/2 - 238 = 0.\nAnswer: -28, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4622*a**2*k*o**3 - 1474*a**2*k*o - 3*a**2 + a*k*o**2 + 69*a*k*o + 2*a*o + 2092*o**4 wrt o.\nAnswer: -27732*a**2*k + 50208*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1670 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15429739 divided by -20117\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.9292326 years?\nAnswer: 0.0009292326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146205 is divided by 44891?\nAnswer: 11532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-99) + (-5)\/165*-6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-27\/4))**(19\/3) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let h(l) = 7*l + l - 2*l - 7*l. Let x(q) = 6*h(q) - 5*o(q). Let d(u) = 5*u - 12. Let z(f) = -d(f) - 6*x(f). Calculate z(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117\/(-21) - 5\/70*-8. Put m, 2, 0, 4 in descending order.\nAnswer: 4, 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0295 and -0.5?\nAnswer: 0.01475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 4) to base 15.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwwkkokw. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0)\/(6 + -2 + -3). Suppose -25*s + 20*s - 10 = h. Does 18 divide s\/((-2)\/73) + 3 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) - 680\/(-180) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53821 times 4?\nAnswer: 215284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (180 + -135 + 4 + (0 - 2) + 3)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 9:25 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 21288080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 3*o**2 - 15)*(-10 - 1 + 3)*(50*o + 2 - 56*o - 1) to f*o + n*o**3 + j*o**2 + a and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 169 + 207. Let c be r\/(1 + (-279)\/276). Suppose -7*x + c + 11314 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnoxxoooxo. What is prob of sequence xnxo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-26)\/66 - 0. Let t = -58\/33 - h. Let l = -1649\/35 - -348\/7. Find the common denominator of t and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2 + 3)*(-146174)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 301 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -3, -4, -20.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-2516))\/((32\/(-48))\/(-12*(-4)\/(-9))).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (59*q**3 - 28*q**3 - 28*q**3 + 21)*(11 - 11 - 12*q)*(-2 + 2 + 2)*(-1 + 2 - 2) as a*q**4 + z*q**3 + w*q + u + x*q**2 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 434412 and 19090416.\nAnswer: 19524828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 4 (c) -5 (d) -3 (e) 34 (f) -355\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 417.5 - 417.5. Which is the smallest value? (a) -0.2 (b) -0.1 (c) j (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 7 + 4 - 29085*x**2 + 572*x - 11813*x**2 - 6 = 0. Calculate x.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:43 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 176?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/4 + -73\/20. Suppose -j - 5 = -11. Suppose 3*x - 2*r - 7 = -r, -j = -4*x - 2*r. Sort g, -0.5, x in decreasing order.\nAnswer: x, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 0.18. Let w = 0.36 - -29.64. Let l = -28 + w. Put v, 0.5, l in descending order.\nAnswer: l, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12351024 to the nearest integer?\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2341 and -40\/3.\nAnswer: 7023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -141023*g + 1186. Is a(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/7 + 304278236*p\/7 - 11573155612908962\/7 = 0.\nAnswer: 76069559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 4:25 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 3, -3, -5 in increasing order.\nAnswer: -142, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.95 + -2.55. Let t = -61 - m. What is the nearest to 2\/7 in -10\/9, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109\/8084 - 5\/172. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2620 - -2609. What is the nearest to -1 in m, 5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 32. Let n be r(14). Let w(p) = p**2 - 17*p - 8. Calculate the remainder when w(n) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:29 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 411301275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**4 - 4*l**4 - 3*l**4 + (-3 + 3 + l**3)*(0*l + l + l) to m*l**4 + b + c*l**3 + g*l + k*l**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 10 = -2. Let b = -14 - -7. Let r be (b\/3)\/1*-3. Solve -o + 2*z = -r, 3 = -o - v*z - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 2:17 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/3))**(-3\/26)\/(f**6\/(f\/f**4)) assuming f is positive.\nAnswer: f**(-119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12044297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 245000*q**2 - 11*q - 44. Let n be g(-4). What is n rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 1. Let k = 15 + -9. Let v be s(k). Suppose 0*z + 158 = -45*z + 113. Put z, -6, v in increasing order.\nAnswer: -6, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.623691403 and 0.5.\nAnswer: -1.123691403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 - 3 + 8 - 14*t - 13 wrt t?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - s - 9, 9*x - 27 = 14*x - 4*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 1. Let o(y) = -y**3 - 3*y**2 - 4*y - 4. Let f(r) = -d(r) + o(r). List the prime factors of f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*y = -3*q - 6, 17*y - 26 + 24 - 64 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 7:15 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7272 divided by -13.\nAnswer: 7272\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.103? (a) 0 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-20)*86\/(-1))\/(2424\/(-6060)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -744 smaller than -743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y - 1. Let p be j(0). Let a be (p - 7)*(-1)\/(-2). Let h(d) = d**2 + 6*d + 5. Let i be h(a). Sort 5, i, 4 in descending order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -513*t**4 + 11*t + 5.\nAnswer: -6156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 11*m**3\/2 - 11*m**2 + 119*m. Let t(r) = -r + 1. Determine -o(p) - 22*t(p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 8, -2.\nAnswer: -5, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62\/483 - 1\/69. Put s, 0.5, 31, 3 in descending order.\nAnswer: 31, 3, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1062)\/3009*(-2)\/6.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107140712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.39 or 9\/5?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 27*p**5\/20 - p**4\/3 - 168*p**2 + 9*p + 253. Let c(h) be the first derivative of j(h). Differentiate c(q) wrt q.\nAnswer: 81*q**2 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 1 = -3*o, m + 1 = -3*o. Sort -5, 5, o, 19 in decreasing order.\nAnswer: 19, 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 3\/80 (c) -5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -400 + 451. What is the highest common factor of j and 1173?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/210 - w**4\/21 + 7*w**2\/2 + 7*w. Let d(y) be the first derivative of q(y). Factor d(b).\nAnswer: 2*b*(b - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 9. What are the prime factors of p(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23474357.\nAnswer: 23474357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2.5. Let a = -115 + 457\/4. Let d(m) = m**2 - 33*m - 230. Let t be d(-6). What is the closest to 1 in b, a, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*g + 14, -g - 7 = -a - 1. Let h be 1\/3*a*6. Calculate the lowest common multiple of 2*h*(3 + -1) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 22. Let d(c) = 9*c - 38. Let x(k) = -d(k) + 2*l(k). Let s(g) = -6*g - 7. Give 5*s(o) - 6*x(o).\nAnswer: 12*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1116 and 50199066?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w + 170. Determine h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 - -93. Calculate the common denominator of 10\/7 and 49 + k + 698\/96.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjee when four letters picked without replacement from {j: 6, e: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 9 + 23*r + 16*r - 2*r.\nAnswer: 43*r + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24850.71ng in micrograms?\nAnswer: 24.85071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26665 * -0.0928.\nAnswer: -2474.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22474, -22475, -22476, -22477, -22478?\n\"Answer: -v - 22473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100331130 (base 4) to base 10.\nAnswer: -69468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 3 - 12. Let x be (-4)\/(-6)*(-3)\/6. What is the closest to u in 2\/3, x, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8607 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Solve -d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 0.5 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -373 - -22981?\nAnswer: 2260a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 9*j - 2. Let i(p) = -2*p**3 - p**2 - p + 1. Calculate i(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*c - 3 + 3 - c to s + y*c and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*c - 117*c - 360 = 0. Solve -c*h - 4 = -23*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*4*-6)\/((sqrt(11) + (sqrt(11) - sqrt(11)*-2))*-2).\nAnswer: 23*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 5*f**3\/6 - 55*f**2\/2 + 605*f\/2 - 274. Let m(c) = 0. Calculate c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 1, b: 2, c: 1, s: 1, d: 1}. Give prob of picking 1 d, 1 r, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 0 in descending order.\nAnswer: 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24712294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2 + 2)*(-3*g**3 - 2*g**5 + 3*g**3).\nAnswer: -38*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.578, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 0 - (4 + -1). Let r(h) = -7*h**3 + 6*h**2. Let x(f) = -8*f**3 + 7*f**2. Let y(o) = c*x(o) + 6*r(o). What is the third derivative of y(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -13. Suppose f*r - 11 = -2. Suppose 0 = r*g - 4*g. Solve l + g = -5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/120 + x**4\/24 - x**3\/12 + x**2 - 2*x. Let c(w) be the first derivative of s(w). Factor c(b).\nAnswer: -(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1299003593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*n = 5479 - 17227 for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 84\/(-7) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-2)\/(-4) + 4\/24). Let a(d) = 6*d - 19. Let f be a(x). Suppose 2*j - f = 2*r - j, j - 1 = -4*r. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6663*v. Let a(t) = -3*t. Give a(r(w)).\nAnswer: 19989*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**0*o*o**(-1\/5) assuming o is positive.\nAnswer: o**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 2*p + 166 + 1\/2*p**2 - 4\/3*p**3. Calculate u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 2947.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2 - (162 - 183)) + (-4 - -2) - -67?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -2.98. Let t = -470.08 - -470. Let h = t - v. Is h equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -30*y**3 - y**2 + 326. Let w(u) = 5 + 0 + 2*u - 5. Calculate w(k(b)).\nAnswer: -180*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.1 - 15. Let p = c + 6.9. What is the nearest to 0 in 0.4, p, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -153, -0.5, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189 by 7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(176) - 2*sqrt(176)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030 + -10?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 - 5*k**3 + k - 11360*k**2 + 13541*k**2 to c*k + q + d*k**2 + x*k**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(243)*-1)**2.\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 7 - 29*q - 3 to a + d*q and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(2016))\/sqrt(7))**2 + 5.\nAnswer: 28805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416333 is divided by 108?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (4 - 10) - (7 - (-4 + 10))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18775 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 6, c: 4, z: 7, t: 2}. Give prob of sequence cc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960 a factor of 1019426960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*j. Suppose 4*t - t = j. Suppose 201 = 2*n + 3*m, -5*n - m + 4*m + 555 = t. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (478 + (28 - 15))*23 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2591645 and -72\/4165.\nAnswer: 308405755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a + 281311 + 77825 = 0. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 3970\/570 - 12*(-3)\/6.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*n - 35 = 73*n. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 2*w**4 - w**4 + (w**2 + 0 + 0)*(-2*w**2 + 4*w**2 - 3*w**2) + (-w + 2*w - 4*w)*(-6*w**3 + 3*w**3 + 4*w**3).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-998)\/(-14) - 2\/7. Let n = -33290 - -33360. Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1773 and 507.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.68 + 12.435. Let q = 24 - a. Let n = -0.1069 - q. Round n to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395\/66 or 135?\nAnswer: 395\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/2))\/f**(2\/7)*(f**(-1\/5)*f)\/f**(-1) assuming f is positive.\nAnswer: f**(211\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -497*m**2 + 161*m**2 + 486*m**2 + 1137*m**2 + 1034*m**2 to i*m**2 + y*m + z and give i.\nAnswer: 2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j**3 - 34*j**3 - 11*j**3.\nAnswer: -110*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 3*x + 9 + 1\/4*x**4 + 1\/3*x**3 + 2*x**2. Give d(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -926\/37 or -24?\nAnswer: -926\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5628*p + 253*p + 5922*p to u*p + x and give u.\nAnswer: 11803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, 7, 2, 5 in increasing order.\nAnswer: 4\/11, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/120 - o**5\/10 - o**4\/24 - 7*o**3\/3 - 20*o**2. What are the prime factors of m(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddtd. Give prob of picking 3 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -30. Suppose -4*g = -g - p, x + 18 = g. Let b = x + 38. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34083 - 6295 + 36008 = -195*f - 1361*f for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((2 - -1)\/3). Let c be -2 + 5 + -2 + h. Suppose 2*d - 45 - 193 = c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3029 + 3057. Solve -98 + t = 14*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3 = -y. Suppose -7*f = -y*f - 40. What is the lowest common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13759\/11400 - 2\/1425. Let o = -1\/8 + h. Let k = -857 + 852. What is the third biggest value in k, -0.5, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4) + 8\/5. Which is the second smallest value? (a) 1\/11 (b) l (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 q, and 1 r when four letters picked without replacement from {q: 2, h: 3, r: 13}.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 473*a**3 - 46*a - 671412 wrt a?\nAnswer: 1419*a**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(-2 + sqrt(2)))**2.\nAnswer: -24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220374360 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 3. Let r(b) be the second derivative of -5*b + 0 - 1\/6*b**3 - 1\/2*b**2. Determine -10*r(y) + 4*u(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -562.7 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**5)\/(s\/((s\/(s*s**0))\/s))*(s\/(s\/s**(-2\/5)))**(-1\/23) assuming s is positive.\nAnswer: s**(577\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1*65\/13. Suppose 120 + 62 = c + r*p, 0 = 5*c + 2*p - 933. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = -2*b, 3*w + 2*w = b + 5. Suppose -2*y = -w*v, v + 5*y - 4 = 2*v. Let m be v*(-2 + 10\/2). Solve 0 = k + 2 + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 4. Suppose 0 = 2*u + 10, -2*u = -t + 3*u + 53. Suppose -8*m = -12*m - t. What is the least common multiple of r(m) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:33 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 2203\nAnswer: -44060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 6656 - 6084. List the prime factors of x.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2*k - 2*m, 315*m - 320*m + 35 = -4*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 39 + 44. Suppose 15 = -2*u + q*u. Suppose 5*m - 164 = -2*c, u*c + 2*m + 0*m = 410. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**3 + 9*d**2 + 10*d - 3. Let i(v) = -5*v**3 - 8*v**2 - 9*v + 2. Let w(z) = 4*a(z) + 5*i(z). Let q be w(-3). Solve j = -0 + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21485 (base 9) in base 11?\nAnswer: -a787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 1353 (b) 0.1 (c) -123\/2 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**5\/20 + 7*j**4\/12 + j**3\/6 - j**2\/2 + 3*j. What is the remainder when n(6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*t + 2*j, 2*j = 6*t - 7*t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*b - 35 - 343, -4*b + 8 = 0. Calculate the greatest common divisor of 2080 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 - 391. Let x(y) be the first derivative of -10 - 2*y + o*y**2 - 2\/3*y**3. Let x(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -8)*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + t + 2 + (-8*t + 7*t - 10*t)*(5 - 3 - 3))*(4*t - 16*t - 19*t).\nAnswer: -372*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 224023160?\nAnswer: 224023150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 30 (b) 103\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 64. Let g(r) = -2*r - 33. Calculate 7*g(x) - 4*z(x).\nAnswer: -2*x + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 919712069*o - 766526154 wrt o?\nAnswer: 919712069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 < 0.38054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -55.00313. Round o to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37814 and 6.\nAnswer: 113442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206 and 5871.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*c = -230*c + 180*c - 3072. Solve -6*k + 108 = c*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -31*q**3 - 15*q**2 + 34*q - 7. Let h(a) = 25*a**3 + 12*a**2 - 34*a + 6. Calculate 5*h(f) + 4*p(f).\nAnswer: f**3 - 34*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (3 + -4 - -2). Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*d - 8064 = -4*d, 0 = 3*h - 2*d + 12094. Let c = -2535 - h. Is 65 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138350368 by 1.\nAnswer: 138350368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4722*i**2 + 1367418*i - 1367418*i + (i + 3*i - 5*i)*(2*i - 2*i - i).\nAnswer: 4723*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3 + 3. Let i be 1*o\/4*-10. Suppose -5*t - 2*d = 4298, 0 = -i*t + 2*d + 1127 - 5429. What is t rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t**3 + 7*t - 7. Let w(u) = -6*u**3 - 4*u + 4. Calculate -4*r(j) - 7*w(j).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 459986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12727 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12086791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.61*103040.\nAnswer: -62854.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = -48. Let l(g) = 3*g - 24. What is the tens digit of l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 12*t + 82. Calculate k(-12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918751332?\nAnswer: 2, 3, 17, 4503683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (864\/81*(-3)\/12)\/14.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(1 + -1 - (-18)\/54)*-22429.\nAnswer: 11, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**3 - 1467*y**2 + 316*y + 242. Calculate p(-105).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41317500.\nAnswer: 2, 3, 5, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10*f - 3. Let m(d) = -d**3 - 16*d**2 - 14*d + 13. Let h be m(-15). What are the prime factors of j(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(180\/8)*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/4 - 430\/860\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1277*w - 1272*w - k - 78, 16*w = -k + 258 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907632589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 3*w**2 - 3*w. Let s be t(6). Let i = -56 + s. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -1948*d**3\/3 - 1699*d. Let r(g) = -g**2. What is l(r(v))?\nAnswer: 3896*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 22*u**2 - 6*u. Let a = -1 - 4. Let t be p(a). Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 203. Let o be d(29). Let s be o\/(-8 + 5) + (-2 - 3). Which is greater: -37 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-2)\/(-8)*(-10)\/35.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 3757?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426 + -425.999482. Round z to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -569\nAnswer: -2\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/12 + k. Let f(t) = 7*t. Give f(d(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = -5*h + 3*f, -5*h - 5*f = -50. Let j be (-20)\/(-6) - 4\/h. What is g in 8\/3 + 2\/3*g**2 - j*g = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111011 + -110100010?\nAnswer: -1000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 622, 930?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5))**2*-1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221568773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 32407439.4 minutes?\nAnswer: 3215.02375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 plus -0.1628?\nAnswer: -0.1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) - 1006\/(-9). Let b be (-750)\/(-54) - 14\/(-126). Calculate the greatest common divisor of f and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23776377.\nAnswer: 3, 43, 149, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 3*y**4 + 8*y**4 + 2*y**3 - 12*y**4 + 3*y**4 to the form j*y**2 + a*y**4 + w + x*y**3 + p*y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r - 4*r)*(118*r + 109*r - 199*r) + 2*r + 4 - 2 - 170*r**2 + 135*r**2.\nAnswer: -91*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1472 (base 14) to base 5\nAnswer: -104003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/((-2)\/(-8)*3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*(-2 + -7). Suppose 0 = j - w*j. Solve -5*n = -u + 6, j = 4*n + u + 2 + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -410, -437, -512, -659, -902, -1265, -1772, -2447?\n\"Answer: -4*v**3 + v - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2 + -4)*(-140)\/28. Suppose 3*g - 12 = c, 0 = -2*g + 3*g - c - 6. Solve g*h = 6*h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q + 2088 = -139*q. Which is the third smallest value? (a) q (b) -2 (c) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let b(v) = v**3 + v + 2. Let l be b(0). Let c(s) = -16*s**l - 4 + 4. What is a(c(x))?\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 12*v**2 - 9*v + 8. Let b be h(12). Is -101 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, 2, 5 in descending order.\nAnswer: 5, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 6:42 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 4*m**2 - 65*m + 97. Calculate t(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 49 = -10*c - c, 0 = 2*u - 5*c - 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1088.381825 to the nearest integer.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000183811116 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 6)\/(-4) + 123. What is the highest common divisor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 3. Let a be o(10). Let g = a - -15. Suppose -5 = -r + g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1319 = -2*t - 463, -4*x = -t - 677. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179628 or -179661?\nAnswer: -179628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**4 + 3065*y**3 - 14*y**2 - 2*y - 96847?\nAnswer: -12*y**2 + 18390*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(-5 + -5 + sqrt(117) + 1 + 2 + -4 + 3))**2.\nAnswer: -432*sqrt(13) + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 578.77165*-5\nAnswer: -2893.85825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 919357973882?\nAnswer: 919357973881.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2484940 or 2484943?\nAnswer: 2484943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 2 w when four letters picked without replacement from wbbwwsbwwswwwb?\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 14) + (-8 - -18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-1 + sqrt(20))\/(-4*sqrt(16)\/sqrt(4)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3299877 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12364?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(2 - -1544). Suppose 5*j - 4*w = s, -3*j - 4*w + w + 453 = 0. What are the prime factors of (2\/(-6))\/((-1)\/j)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 1. Let u be v(-2). Let g = u - 0. Suppose -d = -4*l + l + 9, 3*l = -2*d. What is the highest common factor of g and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 - -0.06. Let l(x) = x**2 + 5*x + 3. Let u be l(-2). Let f be (6\/(-4))\/(u\/6). Which is the second smallest value? (a) f (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 15\/47 (d) 11346 (e) 0.2 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-16 - (23 - 53)) + (-25 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/12)*l**(-9\/13))**(-7) assuming l is positive.\nAnswer: l**(665\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 5*s**2 - 4*s**2 + (5*s - s - 2*s)*(3*s - s - 4*s) + 2*s**2 - 2*s**2 + 2*s**2)*(-1 + 3 + 7 + (-5 - 2 + 2)*(-3 + 2 + 2)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(-39)*(u**(1\/4))**27)\/(u*u\/(u*(u\/u**(6\/7))\/u*u*u*u)*u**4*u*(u**(-1\/4)*u)\/u*u\/u**1) assuming u is positive.\nAnswer: u**(-229\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -53123 divided by -2?\nAnswer: 53123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + ((-80)\/16 - -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1642 - -1664. Solve 11 = 11*y + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*(2 - (-74)\/(-40)). Let b = c + -41\/20. Let m = 0.2 - -0.8. What is the third biggest value in m, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4154066 (base 7) to base 12\nAnswer: -2019b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*b. Let k be 8*b\/((-4)\/4). What is the tens digit of k\/12*-48 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19)\/a**2)\/(a\/(a*((a*a\/a**(-4))\/a)\/a)*a**3\/a)*(a\/(a**8\/a)*a*(a*a*a\/(a\/(a*a**(-3\/8))*a)*a)\/a)\/(a*a**(-1\/5)*a)**(8\/9) assuming a is positive.\nAnswer: a**(-3861\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 0, 2*d - 4*d = f + 12800000. What is d rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) + 30\/9. Let f be (2\/(-5))\/((-2)\/10). Suppose -i*l = -f*l. Solve -2*s = -3*h - 7*s + 27, l = -4*s + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-26 + 5)) + (-2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8464 and 14812?\nAnswer: 59248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3581*o**2 + 2537*o + 9. Let v(u) = -3582*u**2 - 2541*u - 10. Let y(b) = -12*c(b) - 11*v(b). Find the second derivative of y(s) wrt s.\nAnswer: -7140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5469880706.\nAnswer: 2, 2734940353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -64. Suppose 9 = -5*h - 16. Let b(w) = w + 4. Let p be b(h). What is the biggest value in p, -3\/7, r?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 15*l - 1. What are the prime factors of (-231)\/l - 0 - (-1)\/2?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-162)\/1701*(-4)\/((-24)\/9). What is the closest to -2 in 1\/3, 0.5, -3\/2, r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 35 = -5*x, 0 = 2*x - 4*w + 14 - 0. Solve 0 = x*s + 2 - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -736, -1120, -2120, -4042, -7192, -11876?\n\"Answer: -51*q**3 - 2*q**2 - 21*q - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 12974*p**2\/5 - 5188*p.\nAnswer: -2*p*(p + 2)*(p + 6485)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24890)\/(-12445))\/((-1)\/(1\/((-2)\/23)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5*6\/(-10))\/(-3). Let s(l) be the third derivative of 0 + 3*l**2 + 0*l - 1\/6*l**3 + 1\/12*l**4. Calculate s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*o**4 - 165*m*o**2 - 27*m + 1 with respect to o.\nAnswer: -8*m*o**3 - 330*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1180, 0.26, -0.2, 0?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -14885 (b) 0.1 (c) 1 (d) 2\/33 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 546500\/90 + (-2)\/9. Let u = l - 1001788\/165. Let t = -14\/33 + u. Put 0.3, t, 4 in decreasing order.\nAnswer: 4, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0991 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 789593 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.38 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 275. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 192. Suppose -4*i = 5*y - g, -2*i - 3*i = -y + 27. Let s be (8\/y)\/(5\/(-3)). Which is the nearest to 2\/3? (a) s (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 2 + 1)*(-3 - 4 - 11)*(-115*w - 60*w + 46*w) as y + a*w and give a.\nAnswer: -16254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-3)\/162). Find the second derivative of o*a**5 - a**4 + a**4 - 85*a**5 - 5*a wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/14*4)\/((-47)\/11186) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 + 10*b. Let x(i) = -9*i**2 - 8*i. Let z(r) = -4*u(r) - 5*x(r). Let n(h) = 2*h + 31. Determine n(z(w)).\nAnswer: 10*w**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - g + 2*g + 2 + g - 2 + (5 + 0 - 6)*(-2*g + 5*g - 4*g) + 1 + g - 1 + 1 + g - 1 + 1 - 4*g + 0*g + 2*g.\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:40 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79850214.\nAnswer: 2, 3, 4436123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x - 7. Let j(v) = 17*v + 6. Let o(y) = -6*j(y) - 5*u(y). Differentiate o(m) with respect to m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -31*b**2 + 0*b**3 + 0 - 5\/12*b**4 + 0*b. Let k(u) be the second derivative of -u**3\/3 - 2*u. Give y(k(z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - 2*h**3 - 3*h**3 - 6*h**3 + 10*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/(-296))\/(2\/6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50007336 and 29716?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 719798 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**4\/12 + l**3\/6 + l**2\/2 - l. Let k = 7 + -8. Let u be 0 - ((k + -2 - -2) + -1). Determine g(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1640*(-76528)\/(-28698)?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o + 57*o = -23504. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5aaac (base 13) to base 6\nAnswer: -3323155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8143.\nAnswer: 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 52, 102, 164, 238, 324, 422?\n\"Answer: 6*z**2 + 32*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6797.\nAnswer: 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, 40, 77, 140, 235, 368?\n\"Answer: j**3 + 4*j**2 - 2*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109\/1020 - 5\/68. Let v(l) be the first derivative of c*l**6 + 0*l**3 + 0*l + 2 + 0*l**2 - 2\/25*l**5 + 1\/20*l**4. Factor v(z).\nAnswer: z**3*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.93913 rounded to two dps?\nAnswer: 16.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, 487, -1.652?\nAnswer: -1.652","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/2750580 and -169\/13860.\nAnswer: 30256380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 64*u**2 - 127*u - 122. What is the first derivative of b(q) wrt q?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Let r(h) = -105*h - 1010. Let a(b) = -57*b - 504. Let f(g) = 11*a(g) - 6*r(g). What is f(p(u))?\nAnswer: -3*u**2 + 516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(-2 + 0 + 0) + 5 - 2 + 1 + 2 + 2 - 2 + 2 - 2 + 5)*(-2 + 6*t**4 + 2).\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 13*p**4 - 2*p**3 + 52 - 52 to the form i*p**3 + z*p + m + d*p**4 + x*p**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 + 4.3. Let f = 2.4 - c. What is the nearest to 1\/4 in 2\/5, f, -2\/21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2009, 2021, 2033, 2045, 2057, 2069?\n\"Answer: 12*s + 1997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3100 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*t - 11000, 2*t + 5 = -3*t. Suppose -5*b + 4*u + 7032 = -y, -4*b = -3*u - 7385. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(45\/(-27)))\/((-9)\/(-3))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 19. Let s be w(16). Solve -s*p - p = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, 4*u + 0*u + q = -8. Let v = -3 - -5. Which is the closest to -2\/3? (a) u (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*n - 56 = 16, -h - 5*n + 44 = 0. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/42*-2)\/(2\/(-6)). Put -1\/2, -5\/3, 3\/5, g in increasing order.\nAnswer: -5\/3, -1\/2, g, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.927619g to kilograms.\nAnswer: 0.006927619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 26. Suppose 84 = j*o - 304. What are the prime factors of o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38158 divided by 495.\nAnswer: -38158\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w + 46*w + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose -1 = -t*n + 23. Suppose 50 = -n*l + 13*l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*c - 10 = -292*c - 3*m, 2*c + m = 30 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.47 + 0.67. Let o = 0.32 + -0.3. Let b = 4.98 + o. Sort -0.2, b, f in descending order.\nAnswer: b, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 6. Let a(p) = p - 5. Suppose 5*l - 20 = -0*l. Suppose 0 = l*s - 1 + 13. What is s*r(f) - 4*a(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.19 to 0 decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.45427524 * -4\nAnswer: 1.81710096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22220663 - -2?\nAnswer: 22220665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 - 1. Let s be 5 + (-8 - -3) + -5. Let u(t) = 2*t**2. Give s*u(n) - 2*w(n).\nAnswer: 2*n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2232\/(-620) - 38\/(-5)) + (58 - 1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1065\/(-6))\/(57\/190). Let y = -2353\/4 - n. Calculate the common denominator of -38\/9 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 13*d**2 + 10*d - 49. Give x(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2795, -11, -2\/211, 4 in decreasing order.\nAnswer: 4, -2\/211, -11, -2795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102201 - 5?\nAnswer: -102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -68. Let f be ((l\/(-5))\/(5\/25))\/(-2). Let c = 67 + f. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 d when two letters picked without replacement from mwwmmwmfdsfwmmmsss?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -672.1 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*i - 188*i = -523*i + 165*i - 875*i. Factor 50\/13*c**3 + i*c**2 + 2\/13*c**5 + 0*c - 20\/13*c**4 + 0.\nAnswer: 2*c**3*(c - 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*t + 1241 + 4374 = -31*t + 545 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = m - 2*m + 87, 0 = 2*l - 3*m - 47. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101.434*-0.5\nAnswer: 50.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2 - 139*b + 28. Let l be c(23). Solve 5*s = -l*t + 25, 3*s + 4*t = s + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -13*y - 5*g, -3*y - 4*g = -2*g - 15. Solve j = -2*z + 5 - y, 4*j + 4 = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 + 2 - 2 + 2 + (-2 + 0 + 0)*(1 - 5 + 2) + 3 + 1 - 1)*(-4*m + 12*m + 3*m)*(3 - 5 + 12).\nAnswer: 1210*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:08 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:16 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - n = 27, 4*u = n - 5*n + 36. What is the third derivative of 4*w**u - 2*w**6 - 3*w**2 + 2*w**2 wrt w?\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 156 in 1\/3, -0.5, 0.8, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -268, -0.3, 0.3 in decreasing order.\nAnswer: 0.3, -0.3, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**(2\/3)*(p**2)**(-18) assuming p is positive.\nAnswer: p**(-320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 48626047 and 0.1519027.\nAnswer: 48626047.1519027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, -97 in decreasing order.\nAnswer: 2, -2, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 14 = -0*y - 2*y, 12 = 3*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**2 - 4*l - 5. Let b(q) = -2*q**2 + q + 1. Let s(k) = 4*b(k) + r(k). Let y(c) = c**2. Let d be 2\/4 - (-3)\/6. Calculate d*s(f) - 4*y(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23241, 91795, 206053, 366015, 571681, 823051, 1120125?\nAnswer: 1462903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 51*h - m + 250 = 0, 5*h = 4*m + 377. What is the greatest common factor of 13716 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5252 and 1378?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 467 - 369. What is the first derivative of 24*y**4 + 8 - y + h + 117 wrt y?\nAnswer: 96*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + u + 1 = 0, 2*a + 109*u - 4 = 113*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171275*d**5 - 2*d - 24769?\nAnswer: 3425500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*y - 14*y + 94*y - 236*y + 79*y - 10.\nAnswer: 7*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7378.2991 + 7378. Round p to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26052777011515 take away -0.04?\nAnswer: -26052777011514.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1 - -6) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16583 + -596909\/36. Find the common denominator of l and ((-87)\/(-10))\/(42\/15).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((-3)\/3) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212466, -212470, -212474, -212478, -212482, -212486?\nAnswer: -212490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + (sqrt(297) - sqrt(297)*-2)\/sqrt(9))\/(sqrt(3) + (sqrt(12)\/sqrt(2))\/sqrt(2)))**2 + -3.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99.761 + -0.239. Let v = 63 + d. Let q = v + 37.2. Which is the closest to -0.05? (a) -2 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120*u**2 + 22*u - 6*u - 118*u**2)*(4*u**2 - 5*u**2 + 0*u**2).\nAnswer: -2*u**4 - 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859709 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 - 112*c + 950. What is i(19)?\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 12*t = -z - 171, 5*t - 348 = 2*z. What is the closest to 2 in -5, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 10*a**2 - 2*a - 4. What is b(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49172 and 380.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -17. Let m be 755\/15 - z\/3. Does 26 divide (9\/(-6))\/((-1)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = -3*p. Suppose -r = 3*a - 1, 0*a - 4*a - p*r + 5 = 0. What is the first derivative of y**2 - 1 - 2 + a wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + 70. Let p = r + 14. Suppose 4*b - 217 - p = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (8 - (-5 - (33 - 1)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.013 - 1.987. What is the closest to -6\/41 in 4, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 110*f**2 - 265*f - 4571. Calculate t(-112).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26 - -22) + 1059 + 0. Suppose 2*k + 2*m - 497 = 207, -3*k - 2*m = -h. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-170)*19 + 11.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48375583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 17. Let w(u) = 9*u - 24. Let x be w(3). Let i(r) = -2*r + 5 - 2 + 10*r**x - 9*r**3 - 3*r**2 + 4*r. Calculate i(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3449 - 49. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - v)*(4 - 4*v + 1 - 3).\nAnswer: 8*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116, 588, 1066, 1550, 2040, 2536?\n\"Answer: 3*t**2 + 463*t - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174592 and 46222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -535320398.9 + 0.4?\nAnswer: -535320398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 45*d**3 - 680 + 680 - 44*d**3.\nAnswer: -89*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/21*(-10)\/(-125)*(-30)\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 10*o**2 + 17 + (4*o - 5*o + 2*o)*(1 - 1 - 5*o) as r*o + j + x*o**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49856333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*v + 7 - 37, v - 5 = 0. Let o be 1\/s + 1404\/(-5). Let y = o - -400. Is y a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -53.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/20 + (-76)\/14*434\/(-310)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10503129 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 - 6*k**2 - 5*k + 8. Let u be o(4). Suppose -2*h + 173 = -5*d, 0 = -2*h + 4*d + 92 + u. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2352520, 2352507, 2352486, 2352457, 2352420?\n\"Answer: -4*f**2 - f + 2352525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 679006.5407 to the nearest 1000.\nAnswer: 679000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 23*i**2. Let w(d) = -126*d**2. Let n(m) = 27*f(m) + 5*w(m). Let t(v) be the first derivative of -157 - 2\/3*v**3 + 0*v + 0*v**2. What is n(t(h))?\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.22 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 1)*(247*a**3 + 2*a**2 - 281*a**3 - 1 + 0).\nAnswer: -102*a**3 + 6*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11\/(y\/y**(1\/21)))\/((y\/y**(-24))\/((y**(-12)*y)\/y)) assuming y is positive.\nAnswer: y**(-566\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-2) - (-38 + 31). Let s(m) = 2*m + 1. Determine s(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (510889*d - 510889*d - 5608*d**2)*(d - d - d)*(2 - 2 + 2) to r*d**2 + y*d**3 + j*d + u and give y.\nAnswer: 11216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5813595 divided by 1162719.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3 - 2*y)*(0 + 0 + 2*y**4) - 4 - 94*y**5 + 382*y**5 - 52*y**5.\nAnswer: 232*y**5 + 4*y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27119 - 25325 = 39*k for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - 24\/(-14). Let q(j) = -j - 1. Let x(b) = -b**3 + 4*b**2 - 3*b + 4. Let y(k) = d*q(k) + x(k). Give y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6424 to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 57257307 (base 8) to base 11\nAnswer: 7007274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 3:36 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41387, 82995, 124603, 166211, 207819, 249427?\nAnswer: 291035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1121642\/20398 - 55)\/((-57)\/21 + 3)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23*w - 42. Let y be j(2). Solve 0 = y*n - 10 + 26, -4*x = n + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34212309, 34212306, 34212303?\nAnswer: 34212300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 963681647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 23*h**2 + 9*h - 1. Let g = 0 + 11. Let j(y) = y**3 + 12*y**2 + 5*y. Let n(t) = g*j(t) - 6*d(t). Let u be n(-6). Solve v = -u*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3740900 divided by 20.\nAnswer: -187045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 488672729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 2*n\/3 + 1.\nAnswer: -(n - 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*s - 317*s + 8271 - 6149 + 18766 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 3*c - 6. Let d be w(-5). Let t be (-2 + (-15)\/(-6))*d. Suppose -t*o + 3*o = 0. Solve 3*u = -o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(52\/(-78)*3\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.13 - 8.87. Let z = 8.7 + w. Let t = z - -0.24. What is t rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from ccukkkkkcccckwkkwkkc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -563 (base 8) to base 7.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.77245 - 0.22455. Round u to one dp.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/3 + (-3)\/9. Let b = -5 + l. Find the third derivative of 2*j**b + 0*j**6 + 2*j**6 - j**6 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/9 - 3574*n**2\/9 = 0. What is n?\nAnswer: -1787, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 44. Suppose -2*l - y + 31 = 0. Let r be (-4)\/(-8)*-2 - 142\/(-2). What is the greatest common divisor of l and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2, 1.39, 3\/2, -13592\/9 in decreasing order.\nAnswer: 3\/2, 1.39, -4\/3, -2, -13592\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246*-1.4.\nAnswer: 344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 128? (a) 5 (b) -8\/3 (c) -0.01 (d) 2 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a minute in seconds?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 - 7*y**3\/6 + 9*y**2\/2 - 50*y - 1. Let b(m) = 4*m - 5. What is 5*b(g) + 3*n(g)?\nAnswer: 3*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6256.166 nanoseconds in seconds?\nAnswer: 0.000006256166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*o + 25*o + 18. Let t(a) = 2*a**2 - 3 + 3 - 1. Let d be t(o). Round d to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -120112?\nAnswer: 120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121077937.3 rounded to the nearest 1000000?\nAnswer: 121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7179*g**2 + 16087*g**2 - 57274*g**2.\nAnswer: -48366*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 16 - 16 - 4 + 4 - 3 + (-1 + 5 - 2)*(0 + 0 + 2))*(0*w + 4*w + w) - 2*w + 2*w + 2*w + (-2*w + 3*w - 3*w)*(1 + 1 + 0).\nAnswer: 118*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(99))**2 + sqrt(45)\/(sqrt(54)\/sqrt(6)).\nAnswer: 5\/9 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 467733402 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605)*-1 + -1 + sqrt(605))*-3 + 5 + 0 + sqrt(605) + sqrt(605) + -5 + 1 + sqrt(605) + sqrt(605))**2 + -3)*-3.\nAnswer: -29079 - 1056*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/440 and 139\/4274160.\nAnswer: 4274160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -67.8149 and 117.\nAnswer: 49.1851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3019999*c + 5. Let h be (-2)\/(5 - 2\/((-6)\/(-9))). Let q be (-3)\/4 - h - 63\/12. Let n be i(q). What is n rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 3*h**2 - 2*h - 4. Let x be 3\/6 + (-98)\/(-4) + -3. Let z be (1 + x\/(-10))\/(10\/25). What is the units digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (31\/14 + 5\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 32*i = z - 19, 0 = i + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 754575253 to the power of 1\/2, to the nearest integer?\nAnswer: 27470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 23 = 4*j, 4*j - 47 = -5*n. Suppose 0*t + 8 = 4*t. Suppose -j*u + 5*u + 0*u + 2*u**t + u**2 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 183 and 186 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*a = -181*a - b - 21, -5*a + 3*b - 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.5 + 3.4. Let t = o - 19. Which is the nearest to t? (a) 0.2 (b) -2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-19)*r*r*r**(-8)\/r*r*r\/(r*r\/r**14)*r**(-23) assuming r is positive.\nAnswer: r**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-1) + -5 + 4 + 0. Suppose -88 = i - z*i. Let j(s) = -s**2 - s + 4. Let d be j(0). Solve -l + 4*v = -0*v + 7, 0 = d*l + v + i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 22. Let c be (9\/j)\/((-1)\/8). Suppose -2 = -2*s + c. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*h + 8 + 37*h + 7 - 21 + 75*h as x*h + i and give x.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-8) + (-1172900)\/(-664432)\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 3*5*sqrt(77))\/((sqrt(77) + 3*sqrt(77) + sqrt(77) + sqrt(77))\/sqrt(7)).\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.3 - -13. Let o = 2 + -2.1. Let h = z - o. Which is bigger: h or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.8 - -31. Let q = 0.8 + u. Which is the closest to 0.1? (a) q (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 + 1 + (-3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/1227 and -2\/15.\nAnswer: 6135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82015196?\nAnswer: 2, 1153, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5122247 to the nearest one thousand.\nAnswer: 5122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13258 - 13236. Suppose -2*f + f = -11. Calculate the greatest common divisor of f and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*-2 - -6*sqrt(60)\/sqrt(2))\/(-4*sqrt(40)\/(sqrt(4) + sqrt(4)*-2)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -104, -106, -106, -104, -100, -94?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -10404942000843*i**2\/2 + 3724682*i - 2\/3 = 0.\nAnswer: 2\/5587023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2348780 is divided by 455?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2. Let z(t) = -100*t. Determine z(v(l)).\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 39, -5, 11, 1 in increasing order.\nAnswer: -5, 0, 1, 6, 11, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - k**2 + 0*k**2 + 2*k**2 - k**2 - 2*k**2 + (6*k**2 + 0*k**2 + 6*k**2)*(1 - 1 + 2).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035235 to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkkzzkkkkkzzkkzzzzzz. Give prob of sequence kzkk.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 232\/14 - 16\/14*(-1)\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 42 - (-8 - -30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v + 17. Let a(o) = 4*o + 9. Calculate -7*a(y) + 3*m(y).\nAnswer: -y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16051b6 (base 12) in base 14?\nAnswer: 84b762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 21*o**3 + 4*o**2 + 2*o. Let l be g(-2). Suppose 74*k + 1482 - 30653 = -2235. Let a = l + k. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 17 = -5. Let s(g) = g. Let a be s(-2). Let t = q + a. Solve -h = 3*k - t, k = -3*k - 3*h + 17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in 1, 0.052, 2?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/60 + 2*h**4\/3 + 32*h**3\/3 + 2*h**2 - 52. Solve n(z) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13516809 divided by 13516809?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 45184*s. Let y(w) = 2*w**2. Determine a(y(h)).\nAnswer: 90368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 5*g + 232. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546619447.\nAnswer: 11, 47, 1057291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43944 + 43941. Which is the nearest to 21.4? (a) -0.08 (b) s (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c**1*c)\/c)**(-21)\/((c*c**(-4))\/(c\/(c\/(c\/(c*c**(1\/11)))))) assuming c is positive.\nAnswer: c**(-892\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (1 - -9) - (-1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 + 11.3. Let m = s - 9.4. What is the second biggest value in m, 2\/9, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -597128840*r - 216102745 wrt r?\nAnswer: -597128840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497 is divided by 300.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 5, 356?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.863mg in tonnes?\nAnswer: 0.000000425863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*l = 45 + 49, -3*u + l - 76 = 0. Let h = 67 + u. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((8 - (18 - 6)) + 61 - 6).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -158280.\nAnswer: -316560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let p = q - 3. Let c = p - 2. Put -0.5, 0.5, c in descending order.\nAnswer: 0.5, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/20)\/((-1)\/(-30)). Suppose -4*d + y = -7*d. Let j(p) be the first derivative of p**3\/3 - p**2\/2 - 3*p - 492. Calculate j(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -g - 1 - 8, 5*r = 2*g + 33. Let o = 0.01 + 0.19. Which is the second biggest value? (a) g (b) -2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 8*s**2 + 9*s - 13. Let t be n(7). Suppose 0 = -2*m + 4*k + 3 + t, k = 2. Solve 5*i - 2*i - m = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**(1\/7)*p*p)\/p*p)\/((p**(-7)\/p)\/p))\/(p**5\/p**(-2)))**(1\/7) assuming p is positive.\nAnswer: p**(36\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/597 and 37\/1059.\nAnswer: 210741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/3)*h**14*h**(-2\/13)\/(h\/h**(-2\/7)) assuming h is positive.\nAnswer: h**(3611\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 29319?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8281 - 8281 + 4*z - 4*z - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -33. Solve 3*j + d = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:12 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94816199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 12\/4)*40751\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 31. Let x(g) = -20 - r + 59*g + 36. Is 17 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m**2. Let d(l) = -37*l**2 + 22*l + 2. Let b(h) = -1925*h**2 + 1155*h + 105. Let a(c) = 2*b(c) - 105*d(c). Give a(y(x)).\nAnswer: 14000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(14*(-1)\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apyyrbaaaaypa. Give prob of sequence ap.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d + 0*d - 4*d - 3*d - 7*d. Let u(t) = 2*t + 4. Let l(a) = a + 1. Suppose 0 = -0*w - 4*w + 16. Let x(q) = w*l(q) - u(q). What is x(v(k))?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -0.05 (c) -820\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 78131 and 62.\nAnswer: 78193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 74 - 338. Calculate the least common multiple of d and 6.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/(-1254) - -6*((-2)\/(-11))\/(-2). What is the nearest to 1\/2 in 9\/4, 5\/2, z, -1.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-5) - 2) + 2327. Suppose -4*o = -5*w - l, -2*o + w + 4*w = -1157. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/60 - 3*w**4\/8 + 62*w**3\/3 - 79*w**2. Is k(33) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 4*j - 13, 2*c + 42 = 3*j + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(r + 0*r + r)*(-433*r - 79 + 79) in the form z*r + w*r**2 + m and give w.\nAnswer: 1732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 10:23 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n - 6 - 34*n**3 + 14 - 3 wrt n?\nAnswer: -204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*p - 125*p + u - 11 = 0, -4*u = 3*p - 39. Let x = -4 + 55. Find the second derivative of 23*q**p - 101 + 49*q + 50 + x wrt q.\nAnswer: 460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/4 - 3 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**3\/3 - 4*q + 3. Differentiate b(k) with respect to k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 take away -4772?\nAnswer: 4774.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 12*t**2 + 20*t - 233. Give n(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -464187000 rounded to the nearest 1000000?\nAnswer: -464000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0103851 or -3?\nAnswer: -0.0103851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-4 - -5 - 2 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 - 826*c**2\/3 - 21080*c\/3 + 45448\/3.\nAnswer: 2*(c - 437)*(c - 2)*(c + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 + 22410*a + 112175 = 0. Calculate a.\nAnswer: -5, 4487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/80)\/(909\/15756).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 32. Let w be (f\/12)\/(10\/(-75)). Suppose -w = -h, -208 = -3*d - 5*h + 570. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*v**3 - 14*v**2 - 2901*v.\nAnswer: 588*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vetvvvvvevvvvtvvvt. What is prob of picking 3 t?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/9 and 26\/23?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 6*f + 7. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15645 = 2514*a + 26388 + 3219 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -15\/8 in descending order.\nAnswer: 0.3, 0, -15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*q + 21 + q - 24 - q - 2*q + q + (1 - 2 + 3)*(0*q + 3*q - q) as d + o*q and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 762062150 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 505.2522 litres?\nAnswer: 505252.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from {v: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*((w\/(w**(-3\/7)*w))\/w)\/w)\/(w*(w\/w**4)\/w*w*w\/w**(-3\/16)) assuming w is positive.\nAnswer: w**(-989\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2. Let x(m) be the second derivative of -7*m**5\/15 - 61*m**3\/3 - 130*m. Let z(l) be the second derivative of x(l). Give r(z(a)).\nAnswer: -6272*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 209296085 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12755887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*g + 18 - 69 + 21 = 0, 16*g + 160 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3022587274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**4*o**3 - 317*k**4*o**2 - 12*k*o + 5*k - o**3 wrt k?\nAnswer: 48*k**2*o**3 - 3804*k**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 20.3, 24\/49?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 138999554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1116, 1108, 1100, 1092, 1084?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 54 + 515 + 213 - 5.\nAnswer: -6*v**2 + 669","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3. Let l(r) be the first derivative of -r - 10. Let a(g) = 4*h(g) + 11*l(g). Let t(v) = 3*v - 4. Give -5*a(k) - t(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-112) - 1650\/21. Sort -4, -1, y, 1 in descending order.\nAnswer: 1, -1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 16. Let f be l*(-2 - 20\/(-8)). Suppose -4*x + 275 = -j + f*j, -435 = -5*j + 5*x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -113002130?\nAnswer: 113002213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11499*r - 34881. What is z(3)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 10*k = -2*u - 16, 0 = -k + 4*u + 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 + 1. What is the remainder when (-4)\/(-14) - (-682)\/14 is divided by g(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 4400 + 2*u**3 + 8794 - u**2 - 4396 as f*u**3 + r*u + j*u**2 + y and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 63. Suppose -5*h + b - 2 = 0. What is the third derivative of -w**5 + 3*w**h + 2*w**2 + 0*w**2 - 4*w**5 wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfa when three letters picked without replacement from fcaaaaaaaaaaa.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11*b**4 - 2*b**3 - 3*b**2 - 27*b + 4. Let v(g) = g**4 - g**3 - g**2 + 1. Let x(p) = -r(p) + 4*v(p). What is the third derivative of x(o) wrt o?\nAnswer: 360*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 3*g**2 + 3*g - 4. Let v(d) = 3*d**3 + 5*d**2 - 5*d + 7. Determine 5*m(i) + 3*v(i).\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 3*k**4 - 2*k**4 + (k**3 + 3 - 3)*(-k - k + 0*k) + k**4 + 0*k**4 - 3*k**4 + (k - 3*k - 2*k)*(-4*k**2 + 4*k**2 + 2*k**3).\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 5)*(b - 4*b + 4*b) - b - 3*b + b - 2 + 2 - b)*(3*b - 2*b + b + (-3 + 3 + 1)*(0*b + b + 0*b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 14*s**4 - 6 + 15*s**4 + s**4 - 3*s**4 + 5*s**4 + (0*s**3 + 3*s**3 - 5*s**3)*(-2*s - s - 3*s).\nAnswer: 16*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 20*n. Let s(g) = -4*g + 17. Calculate w(s(o)).\nAnswer: -80*o + 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8045, 0, 1 in increasing order.\nAnswer: 0, 1, 8045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*f + 94*f + 166*f to j*f + l and give j.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101001 (base 2) to base 6.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*d - 26 = 0, 42 = 5*k - 6*d + 8*d. Let i(s) = s - 11. Give i(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 70. Suppose -7*g + 11*g - r = 0. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/14)*m)\/(m\/(m**0\/m)))\/((m*m\/(m**4*m)*m*m*m)\/((m**(-3)*m*m)\/m*m)))\/((m**(5\/3)*m*m**6)\/(m**(1\/9)*m**(-2)\/m)) assuming m is positive.\nAnswer: m**(-1699\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1653, -3306, -4959, -6612, -8265, -9918?\nAnswer: -11571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 16 = 4. Suppose -68 - 202 = -l*o - 5*q, 5*o - 240 = q. Suppose 2*p = 61 + o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 + (-152)\/(-32). Let z(o) = o**2 - 6*o + 7. Let b be z(h). Solve 0*v - 4*q - 10 = 2*v, -b*v = -2*q - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.7. Let i = 2\/52229 + -19638134\/783435. Let q = -77\/3 - i. What is the nearest to q in 0.1, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*k + 22*k + 60, -k - k - 49 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8618 + 3909. Let h = t + 89518\/19. Find the common denominator of h and 2 - (0 + (-225)\/(-24)).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 10*f**2 - 5*f. Let d be s(-10). Let b = -55 + d. Is (1 + b)\/(2\/(-11)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(6\/(-2)) - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k = 20*k + 220. Sort -272, 5, k in decreasing order.\nAnswer: 5, k, -272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2037 divide 23107282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*o + 15589 = -285*o - 10112. List the prime factors of o.\nAnswer: 13, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 977*y. Let s(u) = -5*u. Give s(c(k)).\nAnswer: -4885*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -307625\/4 greater than -76907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 + 2*d**2 + 2*d. Let q(o) = -4702*o**3 + 95*o**2 + 6*o. Let b(i) = -5*k(i) + q(i). Find the third derivative of b(r) wrt r.\nAnswer: -28392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyiyvvhttyyyhhtiy. Give prob of sequence ih.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11685 and 799140?\nAnswer: 32764740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*9\/(-36)*140\/45?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2912.163 nanometers in micrometers?\nAnswer: 2.912163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*w - 36, a + 162 = a - 3*a + 5*a + 14*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606255087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000113531408 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*b = -1080, -3*t - 5*b + 823 = t. What is the remainder when t is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.323589 less than -0.1?\nAnswer: -0.423589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i + 9*i - 110*i.\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 436884365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40035971.\nAnswer: 40035971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459276.278 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3*z = -815. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021100001211 (base 3) to base 14\nAnswer: 13841a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + t - 96 = 0, 2*v - 6*t + 10*t - 48 = 0. Let x be v*(9\/6)\/(-3). Suppose -3*o + 5*i - 1 = 43, i = 4. Is o > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + (10 - -21 - -6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22633652 (base 7) to base 14\nAnswer: 39bc29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -4. Let d be (-1 - q)*(-6)\/(-6). Calculate the common denominator of 83\/22 and d + 1 + 399\/(-60).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzxjzhh. What is prob of sequence zjh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*z - 4*r = 470*z + 26, 6*r = z - 26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28294437*i + 9903610?\nAnswer: -28294437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 270, 348, 446, 558, 678?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 27664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 476280173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/11 + 84*o**2\/11 - 918*o\/11 = 0 for o.\nAnswer: -51, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**3 - 465*a**2\/4 + 987*a\/4 - 153\/2.\nAnswer: 3*(a - 17)*(a - 2)*(8*a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 1. Let o be (28\/84)\/(-1 - (-14)\/15). Let m(n) = 6*n**2 - 2*n - 3. Let v(h) = o*z(h) + m(h). Factor v(k).\nAnswer: (k - 4)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 105*a**2\/2 + 83*a + 47. Differentiate h(g) wrt g.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/399 - -397\/798. Let c = -0.81 - 0.09. Let y = -1 - c. Put h, y, -0.4 in descending order.\nAnswer: h, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j + 1687. Let o(c) = -c - 8. Determine h(f) + 4*o(f).\nAnswer: 2*f + 1655","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/112 and -181\/12960?\nAnswer: 90720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 259674?\nAnswer: -4\/43279","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 42 bigger than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 208, 256, 344, 484, 688?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(6\/(-4)) - 0. Let l(m) = -3*m**2 - 11 + 2 + h*m**2 - 11*m. Let f be l(-10). Solve n - f = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 13*i**2 - 10*i - 8. Suppose 0 = p + 4*o + 4, 4*p + 0*o - 60 = 3*o. Let g be h(p). Let v be g + (-3)\/1 + 1. Are v and 14 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from {j: 3, h: 4, y: 1, w: 1, q: 2, g: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 161*g**2 + 462*g + 17. Determine s(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from gcghogghcogcollcgh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99106298027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -46, 9, -4, -3 in descending order.\nAnswer: 9, 6, -3, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 + 3 - 3 + (3*u**2 - u**3 - 3*u**2)*(-2 + 2 - 2*u**2) - 4*u**5 + 5*u**5 - 2*u**5 + 10*u**5 - 24*u**5 - 6*u**3 + 7*u**3.\nAnswer: -10*u**5 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**4\/4 + 13*t**2\/2 - 11. What is the second derivative of j(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 95940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29137254?\nAnswer: 2, 3, 79, 61471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 17*k + 16 = 0. Suppose -k*q - 136 = -3*z, 0 = -5*z + 2*q - 4*q + 218. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 3*r**2 + 2*r - 4. Let y be g(-4). Solve -2*o + y = s + 9, 20 = -2*o - 4*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618*i - 24 = -616*i. Let k be 2 + i + (-18)\/(-2). What is the second biggest value in 2, k, -25, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(1 - (-10)\/(-8)). Let y be (s - 1)\/(2\/22). Is 4 a factor of (12\/6)\/(4\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 at most as big as 717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 20*f + 22. Let h(x) = -2*x**2 + 18*x - 23. Let l(d) = -3*c(d) - 4*h(d). Let r be l(-12). Calculate the greatest common factor of 325 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = -16073 - 47007. What is the units digit of (-1)\/(-3) + l\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9418179 is divided by 220?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 3 + 58 + -93\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390431181 by -1487.\nAnswer: -262563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1358*h + 1360*h - 107 = 3*f, 5*f + 253 = 6*h. Suppose 2*t = 2*x - 2, -x - x - t + 11 = 0. Solve -3*u + 24 = -u - x*g, -h = -5*u + 2*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 46 - (24 + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 11, -2, 4, 0, 2 in decreasing order.\nAnswer: 11, 4, 2, 0, -2, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326 + -10718\/33. Calculate the common denominator of -68\/75 and f.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -902216*c**2 + 40251*c + 10.\nAnswer: -1804432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-7))\/((-36)\/168). Let y = 42 + -37. Solve 2 = n + y*x, i*n + 19 = x + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 12:40 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 3 (c) -1\/4 (d) -6\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 374780?\nAnswer: 374780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861*h**3 + 3 + 3750*h**3 - 3.\nAnswer: 2889*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -41712, 4\/9, 5 in decreasing order.\nAnswer: 5, 4\/9, -0.05, -41712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*n**6*q**3 + 42*j*n**6 - j*n**2 + 27*n**2*q**3 + 4*q**3 wrt n.\nAnswer: 120*j*n**3*q**3 + 5040*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, v: 4, x: 1}. Give prob of sequence uuvx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by -334.\nAnswer: 504\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 7*f**4\/6 + 1678*f**3\/3 + 390907*f**2\/6 - 459189*f - 787320 = 0.\nAnswer: -243, -10\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 19*s**2 - 33*s + 71. Let c(x) = 6*x**3 - 93*x**2 - 165*x + 355. Let w(d) = 2*c(d) - 11*u(d). What is the hundreds digit of w(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514457?\nAnswer: 151, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -17. Suppose c + 4*o - 6 = 9, o - 20 = 3*c. Sort s, c, -3.\nAnswer: c, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7331 and -2.\nAnswer: -14662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91.6 + -92. What is the closest to 16\/7 in 0.1, -1\/10, -0.5, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 4, c: 5, k: 2, h: 4}. What is prob of sequence cch?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (3*sqrt(170) + sqrt(170))*4)*5)\/(sqrt(10) - (1*sqrt(110) - sqrt(110))\/sqrt(11) - -1*sqrt(10)*-6).\nAnswer: -17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156843 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 16, -1, 0.3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3)*-2)\/(29*30\/(-27405))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - 4.01. Let n = 0.221 - -8.879. Let x = 9 - n. What is the nearest to x in 4, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*k + 4*k + 5*q, 5*k = 3*q + 234. What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 6, m: 3, r: 3, a: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*b = -h - 44, -5*h + 2*b = -68. Suppose o + 4*o = -q + 4, h = 3*q. Let f(x) = 4*x + o*x - 10*x. Let w(g) = g. Determine f(w(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-4 + 9\/18*-1*-1)\/(-19))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g + 6 + 997*g**3 - 4*g**2 + 3*g**2 - 1988*g**3 + 1004*g**3. Let f(l) = 12*l**3 - l**2 + 5*l + 5. Determine -6*f(z) + 5*x(z).\nAnswer: -7*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + p**2 + 3*p + 0*p - 11*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:43 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**5 + 11*m**4 + 25*m**3 - 11*m**2 - 53*m - 24. Let y(b) = -b**5 + 5*b**4 + 13*b**3 - 5*b**2 - 26*b - 12. Let a(n) = -2*h(n) + 5*y(n). Factor a(r).\nAnswer: -3*(r - 2)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1304.9 + -1302.9. Which is the second biggest value? (a) o (b) -0.33 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 23 = -25. Sort 5, 3, u, -5 in decreasing order.\nAnswer: 5, 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 89 - 19. Suppose a*j - 18*j = -6. Differentiate -3 + 5*m**4 - 2 - j - 1 wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 34968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171*j**2 - 2*j**3 - 171*j**2 + 21 - 22*j**3 with respect to j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5193, 3, 4, -3\/5 in descending order.\nAnswer: 4, 3, -3\/5, -5193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 604452*t**3 + 50*t**2 + 1204?\nAnswer: 3626712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -37. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, 217, -22 in ascending order.\nAnswer: -22, -1, 21, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1408220.\nAnswer: 1\/281644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.4 - -21.38. Which is the closest to -1\/2? (a) h (b) -5 (c) -3 (d) 2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 264 = -18*t + 32*w, 56 = -5*t + 4*w for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1694 + -223. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -k - 4*a, -2*k = 83*a - 73*a + 86 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 44 = -5*y, 5*t - 5*y + 267 - 202 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 14*p = 0. Let a be 25\/60 - (-1)\/4. Let s = -6 - -6.1. What is the closest to s in 1, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/20 + 8\/5. Let n = 59 - 60.08. Let d = 0.08 + n. What is the nearest to 1\/4 in 1\/5, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2148 and 207868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.9 (c) -0.18 (d) -0.005 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1095 - 188 - g - 3014)*(1 + 1 - 4).\nAnswer: 2*g + 8594","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-8)*(-8892)\/(-3705)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p + 176*p + 108*p - 2508 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3*j**2\/2 + 42. Let w(b) = -b**2. Give n(w(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**5 - 6595*w**4 - 204635*w**3 + 1650735*w**2 - 3935880*w + 3011580 = 0.\nAnswer: -1287, -39, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 29520\/(-1552) + 2 - -14?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Let l be 3 + -1 + 2*c. Let b(m) = -9*m**3 - 2*m**2 - m + 5. Let x = -13 + 8. Let s(i) = -14*i**3 - 3*i**2 - 2*i + 8. What is l*b(f) + x*s(f)?\nAnswer: -2*f**3 - f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 6, 11, 16, 21, 26?\n\"Answer: 5*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*s - 12*s - 17*s - 27*s - 2*s**3 as q*s + x + u*s**3 + l*s**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:06 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*a + 1\/6*a**3 + 0 - 1\/6*a**2 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 l when three letters picked without replacement from ylwyyaa.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92598 and 4554.\nAnswer: 277794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 1 + 5\/((-35)\/(-651)) + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10537.838 - 10543. Round x to 1 decimal place.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73489091.\nAnswer: 13, 5653007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 279966.\nAnswer: 1\/93322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**3 - 2*v**2 + v. Suppose 2*y + 2 = 4*y. Let x be u(y). Is 13 a factor of (-104)\/x*6\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -22 + 36 + (7 - 2200\/104). Let m = 90 + -452\/5. Suppose -u + 6*u = -15. Put d, 7, u, m in decreasing order.\nAnswer: 7, d, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2462\/(-10) - 6\/(9 + -21). Let o = 29029\/120 + i. What is the common denominator of -131\/18 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 - 6640*k**4 - 8*k**3 + 3616*k - 17*k**3 + 694*k**2 + 6624*k**4 + 4480 = 0.\nAnswer: -8, -5, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251708045 a multiple of 1800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v**3 + 27*v**2 + 1411*v. Let m(p) = -6*p**3 + 12*p**2 + 706*p. Calculate 4*h(s) - 9*m(s).\nAnswer: 6*s**3 - 710*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -8*b**7\/21 + b**6\/30 + 62*b**4\/3 + 99*b**2. Find the second derivative of a(q) wrt q.\nAnswer: -960*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 11. Let s be k(-26). Let x = s + 120. Calculate the remainder when 27 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 8)*(-2 - 1 + 4) - 2 + 6 - 3 + (-2 - 2 + 2)*(0 - 5 - 4))*(-5*g + 5*g + 3*g).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 28. Let w(y) = y + 6. Let j be w(-6). What is the closest to j in 2\/3, m, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165*-0.6.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1.2, 0, -1, 38\/5, -0.5?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 40*b - 34. Let s be j(12). Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*a + 2*a + 22932, 3*a = 12. Let r = 55105\/12 + o. What is the common denominator of r and 111\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*i - 1582*i - 132840 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 6) to base 15\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:37 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*a - 2 + 42 = 0, 3*a - 6 = -3*n. Let f(m) = 38*m - 2. Let w be f(1). Let q = -18 + w. What is the greatest common factor of q and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3037248 divided by 189828?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -73*6*31*10\/(-30)?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - 0.923405655006.\nAnswer: -0.973405655006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 + 3*i**4 + 441*i**3 - 1327*i**2 + 1764 = 0. What is i?\nAnswer: -21, -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.99 - -0.01. Let k = m + -8. Let n = 5 + k. What is the nearest to 1 in -1\/6, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**7\/210 - 7*p**5\/60 + 69*p**3 + 16*p**2 - 14. What is the first derivative of l(y) wrt y?\nAnswer: -4*y**3 - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9813 + -19621\/2. Solve -b*x + 1 + 2*x**2 - 1\/2*x**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-1188)\/(-77))*(-6)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -721.886.\nAnswer: -722.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:23 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 76*c**2 + 180*c - 252.\nAnswer: -4*(c - 21)*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r + 18 - 18 - 5*r + 3*r + r + (1 - 2 + 2)*(-5*r + 3*r + 3*r) + 1 - 2*r - 1.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 713\/5 + -143. Let i be ((-4)\/(-50)*5)\/(-4). Sort h, -0.3, i in descending order.\nAnswer: i, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1580, -1581, -1582?\n\"Answer: -r - 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036438?\nAnswer: 2, 29, 35111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*x + 5. What are the prime factors of (-50)\/(-12) - 1\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2 - 2 - 3 + d**3 + 2*d**2 - 8*d + 5*d. Let a be u(-2). Solve h - 21 = -4*h - q, h + a*q = -7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 53*n**2 + 153. Suppose 38*z - 51*z = 39. Let r(h) = 2. Let o(a) = z*r(a) + p(a). What is the first derivative of o(s) wrt s?\nAnswer: 106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -19*s**6\/80 + 107*s**5\/48 + 11*s**4\/6 - 5*s**3\/24 + 1355*s**2. Determine r so that u(r) = 0.\nAnswer: -1\/3, 1\/38, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, t: 2, z: 1}. What is prob of sequence cz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139*-1.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 27. Determine z(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13*80\/(-416)*2*-7\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5e29 (base 16) to base 9.\nAnswer: 36053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**2 - 49. Let g(q) = -49*q**2 + 4*q. Let m(x) = -97*x**2 + 7*x. Let i(k) = -7*g(k) + 4*m(k). Calculate i(h(t)).\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14716397 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-28) - (-36704)\/868. Let d = 3634\/3 + -1169. Which is bigger: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 15 = 4*v. Let w(q) = 54*q + 432. Let n be w(-8). Solve n = 2*g - v*u + 17, -u = -g - 3*g - 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) -5 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(55\/(-42))*(25\/66)\/(2905\/(-2324)).\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 1\/30*z**6 + 0 - 1\/12*z**4 + 1\/6*z**3 - 1\/20*z**5 + 0*z**2 + 3*z. Factor r(v).\nAnswer: v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 3848.\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let b(o) = 3 + 4*o - o - k*o - 7*o. Let f be b(-3). Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 5*d = 6. Let v be 0 - 2 - (26 + -32). Solve -2*k - 3*h = -3*k - d, -4*k - v*h = -20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 2*q + 395. Determine p(-20).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 181033 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*l = 4, -3*l + 4 = -2*d + 4*d. Let u(m) = m**3 - 3*m**2 + 2*m + 2. Calculate the lowest common multiple of u(d) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 692 - -5?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from arar?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 4*m + 377 - m - 113 - 102.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115*d**3 - 58381*d**2 + 20301801 with respect to d.\nAnswer: 345*d**2 - 116762*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -432 + 69. Let g = u + 1863. Round g to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 404\/20 - 2\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1289448 or -1?\nAnswer: 5\/1289448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2a118f4?\nAnswer: -2a118f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**2*p**3*r**3 + 3*d**2*p*r**2 + 8*d*p**3*r**3 + 3*d*p**2*r**3 + 2*d*p - p**3*r**2 wrt d.\nAnswer: -14*p**3*r**3 + 6*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**3 - 16*o**3 + 2*o - o**2 + 2*o**3 to the form p*o**3 + g*o + r*o**2 + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 182875243340133 + 182875243340133.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -872882?\nAnswer: -15\/872882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 4*m + 4*m + 3 - 2*m. Let b be (12 - (1 - -1))\/2. Calculate the remainder when 37 is divided by l(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 12. Let q be t(-6). Suppose -y + q*y - 46 = 0. Let u = y + 68. What is the smallest common multiple of u and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 12:09 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:31 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17b6 (base 15) to base 7\nAnswer: 20634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(85))\/sqrt(5) - sqrt(17)) + -4)*-2)**2 - ((2*(1*sqrt(68) + sqrt(68)) - sqrt(68)) + sqrt(68))\/(1*sqrt(324)).\nAnswer: -292*sqrt(17)\/9 + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86659*a**5 - 10605*a**2 + 2*a - 1?\nAnswer: 5199540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 843602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 5. Suppose u*v - 6*v + 3 = 0. Solve 4*c - 10 = -5*s, -2*s + 9 = v*c + s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -687932*1635\nAnswer: -1124768820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 - 3 = 0. Which is bigger: -11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359409 is divided by 679697?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - 1) + -2 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(0*a + 3 - 2 + 2*a)*(2*a + 6*a - 4*a).\nAnswer: -8*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:36 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**2*(y\/((y\/((y**3\/y)\/y))\/y*y))\/y)**(-6\/41) assuming y is positive.\nAnswer: y**(-24\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 1, h: 4, v: 2, f: 1, k: 2}. What is prob of picking 1 k and 1 h?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(2198\/(-10 - -3)). Is 0 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419103.\nAnswer: 3, 46567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.03 (b) 0.1 (c) 421\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1462 less than -1464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 85, 0.04, -22973?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:42 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102)*4 - sqrt(102)))\/sqrt(6) + -3.\nAnswer: -2*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 - 5)*(5*k - 6 + 6).\nAnswer: -55*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 6\/(-3 + 1). Let z be (1\/2)\/((-2)\/(-20)). Let t(d) = -1 + z + 15*d - 6*d. Let r(i) = -4*i - 2. Determine o*t(x) - 5*r(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3028.086 grams in nanograms?\nAnswer: 3028086000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -9*r - 57, -171*p + 169*p - 2*r = -34 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-39))\/(124\/279)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-33))\/((-4)\/(-30)). What is the highest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 846524 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from apmooamaaaapoaoop.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11084\/33 at most 336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 79*t - 77*t = 7, 0 = -2*i - 5*t + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + (-7)\/(98\/(-84)). Solve -o - 2*f = 5, -4*o - 20 = -c*f + 4*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 3180 = -0*v. Let g be (-6)\/24 + v\/24. Let a = -6 + 18. Which is smaller: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 15 - (1 + -22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3250822.404 rounded to the nearest one hundred?\nAnswer: -3250800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*u - 6 = 0, -6*d = -3*d + 5*u - 10. Suppose -2*g + 4*h = -2 - 2, -2*g - 3*h + 11 = d. Differentiate 5 + 1 + 0 - 1 + 4*n**g with respect to n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2230230211 - -10031?\nAnswer: 2230300302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231219 is divided by 2202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 14 = 11 - 39, 2*s - 5*b + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6201821371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 - (-6 - (-8 - 11)). Solve -5*t + 13 = -v + y*v, -4*v - 2*t - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 2*n**2 + 5650 - 12*n.\nAnswer: -2*n**2 + 5650","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 612304977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 - (-2 + (-6)\/(-3)) is divided by 8\/6*3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 + j. Let h(c) = -c**2. Let o(z) = z**3 + 3*z**2 + z + 1. Let y = 39 + -41. Let a be o(y). Suppose -p - 2 = -3. Determine a*h(x) + p*f(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/19*(2 + 10\/(-4)). Suppose -2*s + 4*s + 3*c + 253 = y, 5 = -5*c. What is s rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-1\/7)*v))\/((v*v*v**(-27))\/v) assuming v is positive.\nAnswer: v**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489655*h**3 + 0*h**2 + 0*h**2 - 115199*h**3.\nAnswer: 374456*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870759.1 minutes to milliseconds.\nAnswer: 52245546000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 477 - 486. Sort 2\/57, 0, z in descending order.\nAnswer: 2\/57, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 69, 62.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:00 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5555 - 0.1?\nAnswer: -5555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n + 9 - 9 + 4 - 13*n + 17*n.\nAnswer: -4*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.29 (b) 1 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Suppose t*z + 6 = 2*z. Solve -4*b - z*o = -5, 0 = o - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.5. Let f = -437 - -437.4. What is the nearest to v in -0.1, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 2. What is the highest common divisor of l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 + 2*j**3 - 4*j**3 + (7*j**3 - j + j)*(-8 + 3 - 14) + 2*j**3 - 4*j**3 - 4*j**3.\nAnswer: -141*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 27 = -3*t - 19, 5*h + 3*t - 140 = 0. What is the remainder when 67 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 - 109*p**2 + 34*p + 77. Let l be u(36). Sort 1, l, 3, -33, -5 in ascending order.\nAnswer: -33, -5, 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136654 (base 7) in base 14?\nAnswer: -3a6d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by -52.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/23981638 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 148 = -2*f, 0 = -4*k + f - 2*f + 142. Let q be k\/10 + (-14)\/(-35). Put q, -3, -5 in decreasing order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3671179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**5\/20 + d**4\/2 - d**2\/2 + 2*d. Let f be g(-5). What is the second derivative of 14 + 10 + 8*s**2 - f - 10*s wrt s?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7664309 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8804740 - -1?\nAnswer: -880473e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3, 2*j - j = -z + 32. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 3 + 8*o**2 + 2*o**3 - 7*o**2 + 3*o**2. Let g(a) = -a**2 - a + 1. What is 2*g(s) + p(s)?\nAnswer: 2*s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2901, -5691, -8481, -11271, -14061?\n\"Answer: -2790*u - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*h - 566. Suppose 1162 - 533 = 17*r. Calculate the remainder when h is divided by r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 11. Let o(u) = -4*u + w - u**2 + 13*u - 21. What is o(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120610935 divided by -225441\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 29 + 21 = 0. Let r = 9 - 0. Calculate the remainder when r is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13875*n - 792*n + 14680*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*s = -b - 216, 3*b = -s + 232. Solve 58*o**3 + 15*o**5 + 16 - 32*o**2 + b*o**2 - 72*o - 60*o**4 - o**5 = 0.\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*t + 2677*t + 3 + 588*t + 1149*t.\nAnswer: 3549*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 9*a**2 + 8*a - 7. Suppose -8*q - 14*q = -13178. Let b = 591 - q. Calculate s(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.49 + -1.51. What is y rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 10*y**2 - 27*y - 19. Is l(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133116 (base 10) to base 14\nAnswer: 36724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554694912?\nAnswer: 2, 3, 80251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:17 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -310, -543, -800, -1093, -1434, -1835, -2308?\n\"Answer: -2*a**3 - 219*a - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35778, -35777, -35778, -35781, -35786, -35793, -35802?\n\"Answer: -k**2 + 4*k - 35781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 + 164 - (39 + 7)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 6*v + 2*v. Let l(h) = -2*h**2. What is x(l(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 14) to base 2\nAnswer: 1100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.8 (b) 2\/41 (c) -0.05 (d) 3\/8 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.691 from -47502.\nAnswer: -47501.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5021650203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -33, -38, -0.1, -2\/9 in descending order.\nAnswer: -0.1, -2\/9, -0.4, -33, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y - 9. Let m be f(-7). Let l be (-6*17\/2)\/m. Let x = l + 551\/55. What is the biggest value in 4, x, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1528 - 1486 + 3014 + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883 - 15*a + 13*a - 213.\nAnswer: -2*a + 670","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*l + 2*f = -85*l + 8, -2*l - f + 4 = 0. Which is the fourth smallest value? (a) l (b) 0.4 (c) 1\/13 (d) -15 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1431188734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*l - 66 = -58*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d + d - 3*d + 20 + 0*d. Suppose -5*m + 30 = -0. Calculate the lowest common multiple of m and v(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g - 18 = -1793. Suppose -43*y - 112 = -g*y. Let -4*s**4 + 8\/5*s + y*s**2 - 4*s**3 + 0 + 12\/5*s**5 = 0. What is s?\nAnswer: -1, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 11*h**2 + 12*h + 12. Let l be j(-8). Suppose 5*d = 2*i + 558, -5*i = -4*d + l + 207. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -8 + -1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -9.6 (c) 24 (d) 2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*3\/(-30))\/((-1)\/(225\/(-10))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -30. Suppose -f*b + 5*b = -52. Let x be (b*100)\/(1\/(-20)). Round x to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1348 + 2453 - 1094 + 12*p. Let o(s) = s + 0 + 5 - 4. Determine -2*j(l) + 22*o(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/394304 and -185\/211149792.\nAnswer: 422299584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -970*2\nAnswer: -1940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-28))\/(30\/(-70))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -653.\nAnswer: 92\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/2418 and -55\/696?\nAnswer: 280488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.3 and 51400.\nAnswer: -580820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6456.8 + 6457. Which is the closest to -0.03? (a) -4 (b) p (c) -0.2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5031933 + 5?\nAnswer: -5031928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2136\/5, 4\/3, 0.1, 0.2, -0.2524, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 + 5*g - 6. Let h(u) be the first derivative of -2*u**3\/3 + u**2 - 2*u - 251. Give 8*h(f) - 3*m(f).\nAnswer: -f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t + 14*u - 8*u - 520 = 10*u, -35 = -t + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anaqaacaccacara. Give prob of picking 2 c and 1 n.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12838 is divided by 212?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.1. Let b = 2.4 - 0.3. Let r = b + p. What is the third biggest value in -0.4, -1\/4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11. Suppose -8 = 3*f + 5*f. Put 4, -5, f, o in increasing order.\nAnswer: -5, f, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -12*k. Let v(m) = -56*m**2 - 53*m**2 - 41*m**2 + 168*m**2. Give r(v(g)).\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-45)\/(-2)*(-903)\/(-5160) - (1 + -2) and 97\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1081 + -1057 + (-1 - (-1 - -2) - -10)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -5*b**4\/24 + 4*b**3\/3 + 3*b**2. Is m(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1054 and 5253?\nAnswer: 325686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*a + 185, -6*a + 5*z = -5*a + 49. Sort 6, 0, a, -5, -3 in descending order.\nAnswer: 6, 0, -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-6))\/z)*z**(-1\/3)\/z)\/(z**(-5)*z\/((z*z*z**2)\/z)*z) assuming z is positive.\nAnswer: z**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210010120 + 22?\nAnswer: -210010032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247374927 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451776 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -606*s**4 + s - 476?\nAnswer: -2424*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -53 = -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 + 2*a - 2. Let o(z) = 9*z**2 - 4*z + 5. Suppose -30 = -5*t + 3*t - 4*d, 1 = 3*t - 5*d. Determine t*r(i) + 3*o(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z**3 + 59 - 59 + (z**2 + 0*z**2 + z**2)*(-1 + 1 + z) + 5*z**3 - 3*z**3 - 1 + 4.\nAnswer: -5*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 2*f - 3*f)*(-2*f**2 + 21 + 3*f**2 - 4*f**2).\nAnswer: 18*f**3 - 126*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 124*s + 7444. Calculate a(-60).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 316096.\nAnswer: 2844864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fatffyyfat. What is prob of picking 4 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*(i*i**(-6\/11)*i*i)\/i)\/i)\/i)\/(((i\/i**(-7)*i*i)\/i)\/i)*i**(-5\/4)*i*i\/(i**8\/i))**(-14) assuming i is positive.\nAnswer: i**(4249\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, -8, -5, 26952 in decreasing order.\nAnswer: 26952, 5, -2, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfluluululxlfu. Give prob of picking 1 l and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-385152)\/(-8704) + 0 + -45)*-132?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r. Let d(a) be the third derivative of 0 + 1\/24*a**4 + 2*a**2 + 0*a + 0*a**3. Calculate o(d(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-14 + 23) - (1 - -18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 take away -46320793?\nAnswer: 46320794.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 748284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(4\/17)*m))\/(m*m\/(m**(-1\/24)\/m*m)) assuming m is positive.\nAnswer: m**(-737\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:17 AM?\nAnswer: 163","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*f = f + 7, 4*l = 4*f + 16. Suppose 0*k = 2*y + l*k - 126, -5*k + 305 = 5*y. Suppose -2*z = -3*z + y. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let o(n) = -265*n. Give x(o(q)).\nAnswer: 265*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97, -211, -325?\n\"Answer: -114*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-32))\/(10\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511857867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 950 (base 13) to base 14\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -116 - 10. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-515)\/(-2575))\/((451\/(-33))\/((-9)\/(54\/(-20))))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (181 - -5) + 2 - 5. Suppose -y*j + 182*j + 1571 = 0. List the prime factors of j.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 910 - 910. Suppose 8*q + 2090 + 582 = y. Is -336 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 29 = -17. Let m(n) = 2*n**2 + 8*n + 7. Let l be m(-6). Suppose -5*y + 4*j = -l, 5*j + 0*j - 5 = 0. What is the remainder when y is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, x: 2}. Give prob of sequence uuxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 24*c + 65)*(166 - 426 - 425)*(2*c**2 + c**4 - 2*c**2).\nAnswer: -16440*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1143 (base 5) to base 15\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.7 and -0.502.\nAnswer: -4.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/3 + 6*v**4 + 16*v**3 + 46*v**2\/3 + 5*v.\nAnswer: v*(v + 1)**3*(v + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.7 - 0.7. Let l = z - 4.6. Which is the third smallest value? (a) 7 (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 7249 = d - 13492, 10 = 2*i. Let t = d - 9184. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 670 - 10779\/16. Let i be 1\/24*(-1308990)\/58220. Let q = 2\/2911 - i. What is the common denominator of q and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((16\/(-72))\/((5 - -2)\/(-63)))\/(-2). Which is the nearest to 0.2? (a) 0.4 (b) 0.212 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25526746 and 2930.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - -38. Let z(i) = i**2 + 19*i + 120. Calculate the remainder when x is divided by z(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, -4, -62, -154, -286, -464?\n\"Answer: -v**3 - 8*v**2 + v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 815 = 1623. Suppose s = 3*x - 1827, 4*x - 5*s - m = -3*s. Is 76 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*z - 21 + 29, 5*u + 23 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 22. Let p be s(15). Let k(a) = -a**3 - a - 2. Let t be k(-2). Is t at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.45 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1256389 (base 11) to base 13.\nAnswer: -5b218b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 452 and 36?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 75*n - 51. Let k(q) = 3*q - 2. Let z(l) = 6*b(l) - 153*k(l). Let v(y) = -y - 33. Let f(p) = -4*p + 132. Let u(w) = f(w) + 4*v(w). Calculate u(z(x)).\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1244350*a*w**2 + 2*a*w - 941*a + 7*w + 36 wrt w?\nAnswer: -2488700*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*g = 6, 5*g - g = -5*d - 1. Let k(w) = -2*w + 1. Let m be k(d). Let j(b) be the second derivative of b**3\/6 - 5*b**2\/2 + b. Determine j(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*f - 4109 + 4124 = -6*u, -f + 0*f = 3*u + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 578 or -3?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -652414112247.999999026 + 652414111391. Let l = q + 857. Round l to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 12*n + 33. Determine j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*o = o - 9, -5*o = -z + 3. Suppose 6*r = z*r + 18. Solve 0 = 2*q + 2*b + 10, q - 20 = r*q + 4*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 11*x**2 - 13*x - 9. Determine w(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 7*r. Let l = -3418 + 3415. Determine m(l).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 2*r**3 + 5*r - r - 2*r - 3*r. Let h(s) = s**2 + s + 1. Let o(y) = h(y) + n(y). Find the first derivative of o(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 22*g + 12 + (1 + 0 - 3)*(46*g + 147*g - 15*g) in the form p + k*g and give k.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v - 3*v)*(5*v + v - 4*v) + 161*v**2 - 30*v**2 + 5*v**2 in the form h*v + f + i*v**2 and give i.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.1 less than -370256?\nAnswer: -371058.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000110010 - -1011011011010?\nAnswer: 11000100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/60 + g**4\/2 + 2*g**3 - 2*g**2 - 292. Suppose -n - 17 = 5*s + 3, -n - 2*s - 14 = 0. What is z(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l + 18*l - 32*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 - -540?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 2887 = 3*h, 964 = h - d. Let j = -943 + h. Let v(b) = b**3 + b**2 - 3*b - 2. Let l be v(3). What is the highest common divisor of j and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/15 - 1088*g**2 - 11103038*g\/5 - 66552964\/15 = 0?\nAnswer: -4079, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = 4*p, 3*v + 0*v - 4*p + 16 = 0. Let d be (24\/(-40))\/((-9)\/5). Put 1, d, v in descending order.\nAnswer: 1, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 7*p - 1332. What are the prime factors of -29*(6\/(-14) - p\/14)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -572877462*b**2 - 48*b - 6741008.\nAnswer: -1145754924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11550309354 minus 36?\nAnswer: -11550309390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.17 and 0.2408.\nAnswer: 14.248136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**3 + 6*b**2 + 2*b - 4. Let t(l) = 11*l**3 + 13*l**2 + 6*l - 9. Calculate -7*a(n) + 3*t(n).\nAnswer: -2*n**3 - 3*n**2 + 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*v - 4245 = -153*v + 9067 - 2212 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.57 - -0.07. Let t = 2.5 + f. Let h = -127\/4 + 32. Which is the smallest value? (a) t (b) 2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4194433*w**3 - 845228*w wrt w?\nAnswer: -25166598*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1349*m**2 + 9*m + 39. Is g(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*s + 163*s + 441*s = 41259 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g*g)**20*(g\/g**(3\/7))\/(g**(-1\/4)\/g) assuming g is positive.\nAnswer: g**(51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 137280*x - 38550260.\nAnswer: 5*(x - 27734)*(x + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1155\/(-66))\/(-35)*30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-36)\/28 - (-14040)\/189. Which is smaller: 81 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlv when three letters picked without replacement from fwnvslswvvw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 60062 = -2*o, -21*c + 75095 = -16*c - o. List the prime factors of c.\nAnswer: 2, 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13111322032 (base 4) to base 8.\nAnswer: -7257216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.90279 millennia in years?\nAnswer: 5902.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -120 - 735. Suppose -2*j = 3*v - v + 232, -5*j - 2*v = 577. Let o = j - l. Calculate the remainder when o is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1902 is divided by 465.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1.891.\nAnswer: 2.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1662.7 + 1663. What is the nearest to 10 in 5, -0.26, v, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*m + 2760, 46*o - 49*o + 8285 = 7*m. Does 50 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 13*j - 8. Let v(t) be the first derivative of -23\/2*t**2 + 5*t - 16 + t**3. Let g be v(8). Give q(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 0 - (121 - 112)) + -9 - -40.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -33*q**2 + 5*q - 6. Let k(m) = -32*m**2 + 4*m - 5. Let a be -1*4\/(-5)*(267 + -262). What is a*c(n) - 5*k(n)?\nAnswer: 28*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239a9 (base 11) in base 10?\nAnswer: -195534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-115 - -118 - (-21 + 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = 6*l. Suppose 11 = 2*q + 3. Differentiate 0*t**2 - 7*t**q + l*t**2 - 3*t**2 + 5 wrt t.\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 35\/23?\nAnswer: 35\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 4:43 PM?\nAnswer: 393","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**23*l**(3\/8)*l*l)\/(l*l**(2\/15))**48 assuming l is positive.\nAnswer: l**(-2961\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-128)\/(-21) + 164\/(-1722). Let q(d) = 2*d + 6*d - d**3 + 2*d**3 - 8*d**2 + 4. Let i be q(k). Which is greater: -21 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46 times -11?\nAnswer: 5.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddx when three letters picked without replacement from {x: 1, b: 2, k: 1, d: 2, o: 6}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 293830542?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 21*z + 58. Let x be b(-18). Solve -2*y - 2*s - 3 + 5 = 0, x*y + 2*s + 6 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -1\/84*g**8 - 20\/3*g**5 + 38\/105*g**7 + 5*g - 8\/3*g**6 + 0*g**3 + 0 - 5*g**2 + 0*g**4. Determine b so that h(b) = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 32.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 15*t**2 - 2*t. List the prime factors of w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 6*y - 7. Let r be c(5). Let l be (1 - (-2)\/(-2)) + 16 + 1. Let g = l - r. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341173 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*n**2 - 8*n**3 - 18*n**3 - 3*n**2 + 4*n**2 wrt n.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/(8\/(-24)). What is the units digit of ((-6)\/3)\/y - -65?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*z - 113373 + 113013. Let u(c) be the first derivative of c**2\/2 - 3*c + 1. Give u(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Let m(y) be the first derivative of -y**4\/6 + 11*y**2\/2 + 7*y + 39. Let o(n) be the first derivative of m(n). Determine o(i(q)).\nAnswer: -8*q**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 14. Let f be k(-7). Let i = -5 - f. Does 9 divide (i + -5)\/(2\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*n = 5*m + 23, -5*m - 6266*n = -6265*n - 51 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 - ((-198 - -138) + 128).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*f = 3*f - 51, -5*c + 87 = -4*f. Factor -10310 + 3*l**3 - c*l - 12*l**2 + 10310.\nAnswer: 3*l*(l - 5)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in 0.5, 11, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**3 - 8. Let z(f) = 2*f**3 - 3. What is 3*h(s) - 8*z(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 28*g + 2. Let h be i(3). Suppose -h = -3*k + k. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/7 + 207*w**4\/7 - 505*w**3\/7.\nAnswer: -w**3*(w - 101)*(2*w - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:03 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 j when three letters picked without replacement from {r: 3, j: 2, b: 2, e: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.8 - -10. Let u = 13 - 13. Let w = 0.966 - -1.234. Sort u, w, d in descending order.\nAnswer: w, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -0.42274.\nAnswer: -0.47274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21 - 22)*(-112)\/(-10). Let w = u - -58\/5. Which is the closest to w? (a) -4\/5 (b) 1\/5 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 17. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*j - 7447*j**2 + 2003994*j**2 + 58*j.\nAnswer: 1996547*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -399\/5?\nAnswer: -399\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 26 = 14. Suppose -u + 108 = g*u - 5*i, -3*i - 180 = -5*u. What is the highest common divisor of 60 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by 1.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -5 - -9) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 - -4) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1)*(11 - -6). Let u(k) = -3*k**3 - k**2 + 6*k - 6. Let i(p) = 8*p**3 + 3*p**2 - 17*p + 17. Calculate j*u(c) - 6*i(c).\nAnswer: 3*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95081, 94973, 94793, 94541, 94217, 93821, 93353?\n\"Answer: -36*h**2 + 95117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 83. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.033419 kilograms?\nAnswer: 6033419000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 15 = 15*j. Solve 1\/2 + 0*w**j - 3\/4*w + 1\/4*w**3 = 0 for w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8933 divided by 895.\nAnswer: 8933\/895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 2221?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2985718 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 135589*i**2 + 15*i - 4. Let d be f(3). Let j be d\/85*((-85)\/(-20) - 3). Let p = 17944 - j. Calculate the common denominator of p and 25\/3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 5*l**8\/84 + l**5\/15 + 13*l**2. What is the third derivative of y(d) wrt d?\nAnswer: 1200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**2 + 0*i - 5*i**2 + 4 + 14 + i. Let c be p(22). Suppose -6 - 3 = -3*v, 4*b - c = -4*v. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-125)\/(-1025))\/(((-20)\/(-12))\/((-1)\/(-3)))?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*v + 14 = 95, 0 = 3*v - 15. Let z = i + 54. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -37463212 and -0.11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/4 - 2)*(2 - 4). Suppose 4*n - d - q = 0, -4*n + 9*d = 6*d - 31. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2455 in 0.94, 0.6, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 323?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046235152 rounded to the nearest 1000000?\nAnswer: 1046000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 5, 2\/11, -21?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -22*x**3\/5 + 2208*x**2\/5 + 1422*x\/5 - 808\/5 = 0.\nAnswer: -1, 4\/11, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - 4*n)*(-1 + 5 - 5 + (2 - 12 - 12)*(-1 + 3 - 4)).\nAnswer: -86*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401074.\nAnswer: 2, 23, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5 + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11510 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/3 + 3*s**2 + 6*s - 6. Let g be b(-5). Let r be g\/2 - 31\/54. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-122)\/10 - 0) + 408\/(-120) + 264\/165.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*y = 29, 3*y + 3 = -4*u - 21. Let v be 2*(20 + -4 + u). What is the first derivative of 19*x**3 + 12 - v*x**3 + 13 wrt x?\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 12:22 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22245*i*q**2 + 68*i*q + 48*i - 2*q**2 wrt q.\nAnswer: 44490*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 19*y**2 - 10*y - 147. Let z be h(18). Sort 8, z, -4.\nAnswer: -4, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-90)\/4 - (-38)\/((-2052)\/(-81))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/231 - 5983\/(-21). Suppose -w*c = -272*c - 15301. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/23 and 31\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 12. What is the remainder when 27 is divided by p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 5. Suppose 12 + 78 = 3*w. Let j be 6\/(-10) + 18\/w. Calculate m(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 14 - 5 - 9.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, z: 8, r: 1}. What is prob of sequence vzz?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2441*c**2 + 264*c - 2440*c**2 - 126*c - 138*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + i + 6 = -11, 0 = -5*n + 3*i + 23. Let l(u) = -9 + 10*u + 1 - 4 - 8*u. Let z be l(11). Solve -2*s + n*s + z = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (17 - 46) - (1 - 8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1089120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6670, -1427 in descending order.\nAnswer: 6670, 5, -1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:40 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 144646525 = 5*p - 464953480, 0 = 3*j + 5*p - 457200005. Suppose -10*d - j = 2*d. What is d rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6501*j - 442081. Give o(68).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*a + 8*a = -992. Factor b**4 + a*b - 64 + 26*b**2 - 14*b**2 - 4*b**3 + 3*b**4 - 5*b**4.\nAnswer: -(b - 2)**2*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k. Let h(t) be the first derivative of 4 - 2*t**2 + t**2 - 7. What is h(m(v))?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 98*x - 27026. Calculate j(275).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.529 + 0.74. Let p = f + -0.20651. Round p to four dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126402 is divided by 8424?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874 - 1190 = -24*u. Solve -u*r + 129 = -215 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by 71913.\nAnswer: -224\/71913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2990*-0.5\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1436297838 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(4\/32*8)*39\/78\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32.6 (b) 0 (c) -4 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -260885, -521773, -782661, -1043549?\n\"Answer: -260888*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*g**(-10))*g**(-7)*g**(-18)*g*g*g*g*g**(-4\/11)*g*g*g assuming g is positive.\nAnswer: g**(-81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5861, 11719, 17577, 23435, 29293?\nAnswer: 35151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 46. Let o(u) = -2*u**2. Give l(o(p)).\nAnswer: 2*p**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, r: 5, h: 6, q: 2, i: 1, t: 3}. Give prob of sequence thrt.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/24*(-45)\/(-6). Suppose -2 = 2*v - w. What is the highest common divisor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/5 + 498*b**4\/5 - 999*b**3\/5 + 100*b**2 = 0.\nAnswer: -500, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/14 - 4\/(8\/6). Suppose -3*o + 4 = -l*o. Which is the smallest value? (a) -4 (b) o (c) -5 (d) 103\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21542 is divided by 10771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/3)\/k*k\/k**(1\/4))\/((k**(1\/6)\/k)\/((k\/k**(-6))\/k)))**(-2\/47))**(-21) assuming k is positive.\nAnswer: k**(665\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -230.2 - -230. Which is the nearest to 0.2? (a) w (b) 1 (c) 0.9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (18 - 22 - (5 + 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**4 + 11*r**3 - 13*r**2 + 11*r + 6. Let k(l) = l**4 - l**3 + l**2 - l - 1. Let m(h) = -2*f(h) - 14*k(h). Suppose m(z) = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3977 + -2599. List the prime factors of r.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmnb when four letters picked without replacement from bbbbbbnbxnbnmnbbbxb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 5*b + 46. Let j be x(-9). Let w be (2\/1)\/(2\/3). What is z in 23*z**2 + 36*z**w + 3*z**5 + j*z**2 + 18*z**4 - 9*z**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -1496\/9. Let t = -4221 + 37993\/9. Solve 2\/9*a - t + q*a**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6)*(5 + -2). Let h(f) = 4*f + 7. Let m(a) = -a - 1. Let v(d) = h(d) + 3*m(d). Let o be v(-2). Solve 0 = -n*z + o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {e: 1, a: 1, s: 1, d: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -23*l + 28 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12264, 12314, 12364?\nAnswer: 12414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i - 1. Let v(y) = -y**3 - y**2 + 19*y - 8. Let n be v(-5). List the prime factors of (i - 8\/n)*-75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129716*g*i**2*j - 2*g*i*j - 2*g*i + 384*i**2 - 12*i wrt j?\nAnswer: 129716*g*i**2 - 2*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -81. Suppose -25*k = -20*k - 40. What is the highest common factor of k and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48239 is divided by 254.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6514151?\nAnswer: 7, 930593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94848, 94853, 94854, 94845, 94820?\n\"Answer: -v**3 + 4*v**2 + 94845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 4:13 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/43 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/30 + 30*y**2. Let c(l) = -4*l. Give d(c(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 - 292*n + 8. Let p(g) = 6*g**2 + 439*g - 13. Determine -5*p(w) - 8*t(w).\nAnswer: 2*w**2 + 141*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 36726 + 10458 - 11112. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 9200 = -18*c. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yycf when four letters picked without replacement from cyccayayyysfsyx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2240 and -1\/770.\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 + 1 - -4) + -14 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(19) - (2 + sqrt(19))**2)*2.\nAnswer: -48 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16157369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252.9 + -447.5. What is q rounded to the nearest ten?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/19)*x*(x**6*x)\/x)\/(((x*x**(-4\/9))\/x)\/x)**(-2\/33) assuming x is positive.\nAnswer: x**(44947\/5643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -26. Calculate the common denominator of d and 31\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(5*g - 3*g - g) - 2*g - 4*g - 2*g - 118*g - 65*g + 31*g.\nAnswer: -159*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 18 = 0. Suppose -y = i + i. What is the units digit of 1*i*3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*j - 5*j + 1)*(3 - 3 + 3)*(2 - j - 2).\nAnswer: 3*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 16) to base 14\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3241 - 6025. Is -2784 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 34 = -5*n. Suppose 4*w + 5*i - 117 = 204, n*i - 89 = -w. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 8\/(56\/63). Let q(d) = -2*d**2 - d - 4. Determine q(o).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 1 + -7 + 24 - -17\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 - 204. Find the second derivative of -u**f + 50*u + 0*u**5 - 33*u + 8*u**5 - u**3 wrt u.\nAnswer: 160*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a + 4. Determine w(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**4\/4 - 7*u**3\/3 - u**2 + 2*u - 3. Does 8 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - s + 12 = 4*s, 2*j = -2*s + 24. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, a: 9, l: 2}. What is prob of sequence aa?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 745, 59, -627, -1313, -1999, -2685?\nAnswer: -3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1012 + 3602*k - 3480*k - 1082 to j*k + b and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1808239.999 to the nearest one hundred.\nAnswer: 1808200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*y + 6, 0 = 2*f - y - 0*y. Let r be ((-15)\/2 - 0)*f. Suppose t = 4*t - r. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (0 - ((-10 - -16) + -18))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4ca5 + -d?\nAnswer: 4c96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 11 = 4*h. Let t(a) = a**2 + 2*a - 3. Let v be t(-6). Calculate the remainder when h is divided by 4*(v\/12 + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.134 in 2.06, -183, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99577 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47249 is divided by 23505.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007797 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8869 and 12.4.\nAnswer: -8856.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.1 - -14. Sort -2\/11, j, 18\/11 in descending order.\nAnswer: 18\/11, j, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84994 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5471, 4 in increasing order.\nAnswer: -5471, -23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1487 to two decimal places.\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1568 and 17927777?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0905 and 5?\nAnswer: 0.4525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*r - 206 = -380*r - 3951 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*22\/(-462)*-1*6. Sort 5, v, 39 in decreasing order.\nAnswer: 39, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 5:55 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*-2 + 0 + -3.\nAnswer: -4*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1916934 is divided by 382?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32880438875275 + 32880478597963.999901. Let x = 39722615 - r. Let f = -74 - x. Round f to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 7*m**2 + 6*m. Let b be o(-6). Suppose -2*i - i = b. Solve 5*y - f + i*f - 9 = 0, 0 = -4*y - f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2010230101 + 1?\nAnswer: 2010230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 27*m**3 + m**2 - 2*m. Let x be h(1). Solve -x*b = 14 + 116 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26108 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.08, 4, -4 in increasing order.\nAnswer: -4, -0.08, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*u - 3 - 4 + 1 + 7 to w + y*u and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by 57?\nAnswer: 148\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 5:54 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 9. Let s = -6 - u. Let q be (-3)\/((-18)\/(-16)) + 2. Which is the closest to q? (a) 0.5 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 730*p + 145. Calculate d(146).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 5445?\nAnswer: 38115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/12)\/((-400)\/120)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 19 - p + 55 - 23 - p**2 - 6*p**3 as n*p**2 + i + k*p**3 + y*p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 26 + 88 - 7*f**2 - 4*f - 34 to the form s*f + u*f**2 + c and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158999*d**3*v**3 + d**3*v**2 + 242*d*v + 23*v**2 wrt v?\nAnswer: -953994*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 18450151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*k + 357*k + 4672 = 0 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 15*a + 26. Let u be f(13). Let l be 24\/4 + -1 + u. Let b = 4 - 2. Sort l, b, -5.\nAnswer: -5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53827*b = -53724*b - 927 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117278, -119370, -121462, -123554, -125646, -127738?\n\"Answer: -2092*q - 115186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9)\/((-164)\/(-369))*8\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 507391316*k**2\/7 + 32180743444026482*k\/7.\nAnswer: 2*k*(k + 126847829)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, -9*s + 6*s + 81 = d. Calculate the greatest common divisor of s and 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**3\/3 + 11*h**2 + 116*h + 2582. Determine r(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -y + 680, 0 = -5*y + 3*y - o + 1415. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 1. Suppose 2*t - i - 4 = 0. Find the first derivative of -3 + t + 2*k**2 - 3 wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3 = -l - 9, -31 = -4*l - 3*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from tctcctctttttccctttt.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0479 + -252.0479. Let h = 350.25 + u. Let g = -101 + h. What is g rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, -124, -655, -1498, -2653, -4120?\nAnswer: -5899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 24 = -0*p. Suppose 118 = -4*q + p*q. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.1712 - -0.1932. Let u = o - -18. Let d = 0.322 - u. Which is the nearest to 1\/4? (a) 3 (b) -8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3402242.\nAnswer: 2, 1701121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -3214138\nAnswer: -39\/3214138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t. Let l(p) be the third derivative of -136*p**5\/15 + 305*p**2 - 2*p. Calculate i(l(a)).\nAnswer: 1632*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2314291\/99 - 23377. Calculate the common denominator of 97\/110 and g.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, 4, -6, -1, -4\/59143.\nAnswer: -6, -1, -4\/59143, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111961167 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (11 - 13 - 1)) + 2 + 4 + 39.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -57.9, 1.5?\nAnswer: -57.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 7*g**2 - 2*g - 8. Let p be u(-7). Suppose -f = f + p. What are the prime factors of ((-6)\/f)\/2 + 20?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -14\/5*c**6 + 0*c**3 - 38*c**2 - 4 + 0*c**4 - 6*c + 0*c**5. Differentiate j(u) wrt u.\nAnswer: -336*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 13*u - 68. Calculate m(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.52755 rounded to two decimal places?\nAnswer: 32.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 652717 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 f when four letters picked without replacement from {l: 2, f: 17}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41871019 less than 5?\nAnswer: 41871024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 8*d - 369 = -113, 0 = f - 4*d - 204 + 76 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3 - 1508\/503). Let v = k + 924. Calculate the remainder when v is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11383806.\nAnswer: 2, 3, 7, 271043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from jfgjujuyjyujujgzuu?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -1083*f**2\/2 + 175758550*f - 42785412601250\/3 = 0. Calculate f.\nAnswer: 9250450\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**2 - 5 + 5*w**2 - 7 + 3*w**2 - 14*w. Let z be g(15). Solve -n - z*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 - 3 = 0. Suppose -3 = -k - z. Suppose 0*a - 4*a - 4 = 0, 3*a + 5 = -2*m. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 1. Let o(p) = p**2 + 3*p - 27. Let v be o(-7). Let w(u) = -3*u**3 + 4*u**2 + 12*u + 29. Let l(y) = v*w(y) - 5*b(y). Factor l(d).\nAnswer: -3*(d - 2)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/159 + 167\/636. Let r(s) be the first derivative of 3 + 0*s + 0*s**2 + 1\/3*s**3 + d*s**4. Find the third derivative of r(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -26. What is the remainder when c is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -11) + (-16)\/(-168) + 244\/84?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179637415 to the nearest integer?\nAnswer: 13403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/7 - 36*y**3\/7 + 16*y**2 - 144*y\/7 + 64\/7.\nAnswer: 4*(y - 4)*(y - 2)**2*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*n = -0*j - 12, 5*j = -n - 39. What is the units digit of (16\/2)\/((-4)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -29*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1)\/((-3)\/6). Suppose -f*o - t - 20 = 0, o = -0*o + 5*t + 16. Let u = 5 + o. Is u smaller than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1111\/4 + -12135\/44. Find the common denominator of 39\/22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/5)\/(-7))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0 + 0)*(-4 + 1 + 2)*(23*g - 23*g + g**2).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4895989617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 4*q**3 - 4*q**2 - 4*q.\nAnswer: 4*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.23?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11*d. Let b(y) = 2*y**2 + 1846. Determine b(p(o)).\nAnswer: 242*o**2 + 1846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = 8*q - 426 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m - 114*m + 1041 + 555. Solve 2*t - 3*j = -9, 2*t - 16*j + m*j + 14 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((-38)\/57).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 533057 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 + -216. Solve -w = -t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(85) + -2*sqrt(85))*-2*-2)\/(sqrt(60)\/(sqrt(12) + -5*sqrt(12)*2 - sqrt(12))).\nAnswer: 5 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 52*x**4 - 248*x**3 + 392*x**2 - 268*x + 68.\nAnswer: 4*(x - 1)**4*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + 3*x)*(20 + 64 - 35)*(17*x**2 + 3*x**2 - 6*x**2 + 14*x**2).\nAnswer: 4116*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 419*p**2. Let k(h) be the third derivative of -h**5\/60 - 502*h**2. Give b(k(v)).\nAnswer: 419*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.345581684 rounded to 3 dps?\nAnswer: -6.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 40*y + 2424. Let j = y - -2421\/8. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9549936 to the nearest integer?\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-110)\/(-297)*9*(-13)\/2*-285060. What is p rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((24816\/144)\/47)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793928341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8000)\/2125)\/(16\/(-136))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-462))\/((-2)\/6)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652521881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shrhcjjlcch. What is prob of picking 1 j and 2 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.324 litres?\nAnswer: 19324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -4, -24, 0.5, -0.07?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 26. Suppose -1 = x - r. What is the greatest common factor of x and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.0481 from 0.3.\nAnswer: -2.7481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79499, -79856, -80473, -81368, -82559, -84064?\n\"Answer: -3*j**3 - 112*j**2 - 79384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130 + -135. Let f = 30 + -28. Which is the fourth smallest value? (a) 5 (b) f (c) 1\/4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -19. Put 3, -3, i, -1 in decreasing order.\nAnswer: 3, -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 10*x**2 + 20*x - 31. Let f be r(8). Which is the closest to 1\/31? (a) f (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 73, 93, 97, 79, 33, -47, -167?\n\"Answer: -z**3 + z**2 + 34*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 3*f**2\/2 - 6*f - 2. Suppose -7*b = -3*b - 20. Suppose -b*j + 15 = 5*o, 2*j = -5*o - j + 17. Determine z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5138347 + 0.45.\nAnswer: 5138347.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1 + sqrt(128))*4)**2)*-6.\nAnswer: -12402 + 1536*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 + -2.53. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2307 + 4360. Is h a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**3 + 7*o**2 + 2*o - 5. Let v = 30 + -17. Let m = 18 - v. Let s(j) = 4*j**3 - 4*j**2 - j + 3. Suppose 4*y - 5 - 7 = 0. What is m*s(b) + y*t(b)?\nAnswer: -b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*a + 6*a + 16, 0 = -4*a - 4. Suppose -l*c + 9 = -5*w, -c - c = -6. Suppose 0*r - 3*r + 222 = w. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 7:40 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (211\/(-21) + 10)*-3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-324)\/60)\/(-27))\/((-2)\/(-5))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + 530\/318*(-378)\/(-35)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2077*k - 432*k - 2068 = 1341 - 119 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 15. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 284736?\nAnswer: 854208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 5*j**2 + 4*j + 2. Let g be c(2). Is (71952\/(-12))\/(4\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 2*u. Let f(k) = k**2 - 23*k - 29. Let z be f(24). Let x(r) = -r. Let l(b) = -b**2 + 4*b. Let n(h) = z*x(h) - l(h). Calculate -2*j(m) + 6*n(m).\nAnswer: 4*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025760 divided by 9?\nAnswer: 1341920\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 38*i + 33*i + 918 = 0, 5*n - 4*i = 2196. What is the smallest common multiple of 1628 and n?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqzhqquhmzuzpqhhpq. What is prob of sequence mhu?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1617289 and 0.07.\nAnswer: -113210.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/3)\/(7 + 712\/(-102)). Let a = 188 - p. What is the highest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:58 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 262 + 85 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*l + 19, 41 = 4*v + 4*l + 57 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-69084)\/(-95))\/(-101))\/(4\/(-15)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 5210*z**2 + 46804*z - 43. Determine f(9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 990301.3 days in milliseconds?\nAnswer: 85562032320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Which is the closest to 0.1? (a) 2\/15 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -27*s - 589. Let r be q(-22). Let f(v) = v**3 - 3*v**2 - 2*v - 7. What is f(r)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 6, z: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 279902893 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:50 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5 - 7080*c**4 - 5521191*c**3 - 1445288718*c**2 - 22078989216*c - 86931384192 = 0?\nAnswer: -879, -586, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/14)\/(8\/28). Is -595*(10\/(-28)*z + 2) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {v: 2, w: 4, j: 1, g: 2, i: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 + 4*l**2 - 199*l + l**2 - 8*l**2 - 338*l as t*l**2 + o + m*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 135731093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437*f**5 + 2*f**4 - 1113*f**2 wrt f?\nAnswer: -26220*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20512435 times -0.5\nAnswer: -10256217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 3. Let g be i(0). Suppose 5*v - 5*z - 33 - 12 = 0, -84 = -2*v - 9*z. Let u be g + -6*(-20)\/v. Solve 2*f = f + u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s**2 + 52*s**2 - 15*s + 55*s**2 - 207*s**2 - 5 + 43*s**2.\nAnswer: -10*s**2 - 15*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(3\/(-51252)). Suppose 103*j = 101*j + n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*m)*(-3 - m + 3) + (47232*m - 93287*m + 47975*m)*(m + 0*m - 3*m) to the form y + g*m + n*m**2 and give n.\nAnswer: -3838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*p = 10*p - 27211, x - 13*p = 9084. Calculate the highest common factor of 235 and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3 + 5*(1*sqrt(72))\/sqrt(4) + -3)*-4 + 4)**2.\nAnswer: -3360*sqrt(2) + 7987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3117473, -3117459, -3117439, -3117413, -3117381?\nAnswer: -3117343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 31268?\nAnswer: 812968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*q - 45 - 47 = -5, -2*j - 3*q - 33 = 0 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 5786, 12309, 18836, 25367, 31902?\nAnswer: 38441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 4:58 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(-2\/35))\/i*i)*i)\/(i*i*i*i**29\/i*i*i))\/(i**36\/(i*i\/(i**(-9)\/i)*i)) assuming i is positive.\nAnswer: i**(-1923\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0, -19, 6\/7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 59306\/9825 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/10)\/(192\/120) + 6 + 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1087, -1098, -1119, -1150, -1191, -1242, -1303?\n\"Answer: -5*i**2 + 4*i - 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.5, -8\/117, -0.05, -5, -4, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.81 - 0.81. Which is the smallest value? (a) q (b) 2\/9 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 151*n + 45 + 79 - 434*n.\nAnswer: -283*n + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 391024\/11 - 35723. Let b = -176 - d. Find the common denominator of -77\/24 and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-22)*b\/b**(1\/16)*b**(-9) assuming b is positive.\nAnswer: b**(-833\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000702 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7972 is divided by 2653?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.1832. Let n = t - -7.8868. Let b = 0.07 - n. Which is bigger: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.3, -1\/7, -22, -0.6 in increasing order.\nAnswer: -22, -9, -0.6, -0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -373650*b**3 + 323804 wrt b?\nAnswer: -1120950*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3948.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*o - 96 = 0, 0*j + 24 = j + o. Let q be (-34)\/j + (-1)\/1. Let t = q - -7\/4. Are 0.1 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -88990.5, 18, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 + f + 1. Let j(t) = -5*t**3 - 3*t**2 + 3*t + 3. Calculate j(d) - 3*x(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -963, -2034, -3103, -4170, -5235, -6298, -7359?\n\"Answer: l**2 - 1074*l + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-118452)\/8*(-8)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 11:24 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1282\/1698541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3 - 1320320*r**2 + 2640620*r = 0. What is r?\nAnswer: 0, 2, 264062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 10*v**2 + v + 2. Let b(n) = -49*n**3 - 6*n**2 + 14 + 19*n - 47*n**3 + 95*n**3. Let o be b(-8). Calculate p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 188*y**3 - 110*y**3 - 107*y**3 + (1 + 2*y - 1)*(2*y**2 + 0*y**2 - y**2).\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -2\/7, 41, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020121 - -212?\nAnswer: 11021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 2*s - 41. Let c be k(-5). Is (c - (-7 + -2))*2177\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1741 + -1730.97. Let c = g + -0.03. Let k = c - 10.2. What is the nearest to -13 in 4, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3393 (base 12) to base 5\nAnswer: 140402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = g - 3*g - 2, g - 5 = -2*u. Is -2 + (8835\/3 - u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 3572*i**2 - 98840*i - 689136.\nAnswer: -2*(i + 14)**2*(i + 1758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55341\/215)\/(-39)*10\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 40 = -5*i, g + 5*i - 3 = -13. Let x(l) = l**2 - 2*l - 5. Let j be x(g). Suppose j = -2*u + 30. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132426409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/32*118\/(-177)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -577 - -582. Solve -f*v + 5 = -2*s, 33 - 16 = 3*v - 4*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -135654 (base 10) to base 13\nAnswer: -4998c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, 0.3, -1, 1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80601.\nAnswer: 3, 67, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 672, 676, 668, 642, 592, 512, 396, 238?\n\"Answer: -x**3 + 11*x + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j**5 - 4*j**4 + 228*j**3 + 496*j**2 + 80*j - 192 = 0. Calculate j.\nAnswer: -4, -2, -1, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2115200 + 7?\nAnswer: -2115171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3 + 5*g**3 - 11*g**3 - 7*g**3 + 11*g**2 wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 + -3.94. Let p = -4.2 + 0.2. Let u = b - p. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -633*m**2*o**2 + 370*m**2 + o wrt o.\nAnswer: -1266*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120110 + -314232?\nAnswer: -434342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3 + ((sqrt(216)*3)\/sqrt(4))\/sqrt(3))*2*-2)**2 + 4.\nAnswer: -720*sqrt(2) + 2696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 16*g + 52*g to the form j + h*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 4422.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 418, 412, 416, 436, 478, 548, 652, 796?\n\"Answer: x**3 - x**2 - 10*x + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69b + a?\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6402\/(-4268) + (-62)\/12\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6)*2 + -1 + 41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and 40813.\nAnswer: -146926.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**5\/20 - l**4\/6 - 7*l**3\/6 - l**2\/2 + 113*l + 1. What is c(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378084089.\nAnswer: 378084089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 5. Let a = w + 19. Suppose 4*s - 136 = a*v, 3*s + v + 2*v - 108 = 0. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, -9\/5, -0.1, 0, 4\/665 in ascending order.\nAnswer: -9\/5, -0.1, 0, 4\/665, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 9)\/((-217)\/(-217)). Sort u, 8, 5, -2 in decreasing order.\nAnswer: 8, 5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1374 and 65072?\nAnswer: 44704464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.9999835 - 71. Round d to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 24 = 5*m. Put -3, 5, m in descending order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 12 = -n - 0*p, 5*n - 5*p = 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*g**2 - 42 + 42.\nAnswer: -187*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 623712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y = 0. Let f = 1 - y. Let v = 5 - f. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + 19. Let i = s - 39. Suppose 5*j + 0*w = i*w + 17070, w = 2*j - 6829. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 37 - 26 = 2*k, -2*k = 3*x - 41. Suppose -3*r - 24 = -3*b, 3*b + 5*r = -x - 3. Solve 2*a - 3*a + 4*y + 4 = 0, 0 = b*a + 2*y + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 2\/27, 2, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m**3 + m**2 - m. Let q be w(1). Let b be q + 7\/((-35)\/10). Let x(j) = b*j**2 - 43*j**2 + 3*j**2. Let o(g) = -2*g. What is o(x(k))?\nAnswer: 70*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2 = -2*b, 0 = -2*h - b + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 0.4. Let v = 4.4 + u. Let d = -3 + v. What is d rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 32 = 2*h - a, 5*h + 2*a + 56 = 0. Let x = 15 + h. Solve 0 = d + 5*g - 15, x*d + 5*g + 5 - 20 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2889, 7393, 14897, 25401, 38905, 55409, 74913?\n\"Answer: 1500*x**2 + 4*x + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(52\/(-3)) - (3218\/3)\/((-22386)\/2583).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 3*q + 2*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3607 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 4. Let a be w(-12). Solve v + v - a = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acaaaacaaaaa. What is prob of sequence aaac?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 + 8*s. Determine z(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4140 and 105708.\nAnswer: 1585620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/19, -2\/9, 2, 4 in ascending order.\nAnswer: -1, -2\/9, 2\/19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3198\/(-60 - -138) - (0\/(-4) - -10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*q = 26608 - 3208 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2. Let a(n) = 12*n**2 + 3*n. Calculate z(a(q)).\nAnswer: -288*q**4 - 144*q**3 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-812*f**3 - 57*f**3 - 336*f**3)*(-f + 0*f - 3*f) in the form w*f**3 + z*f + d + b*f**4 + l*f**2 and give b.\nAnswer: 4820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3145 - 1420 = -11*d. List the prime factors of (d\/10)\/(5\/30).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**3 + 5*t**2 + 2*t + 28. Let b be h(-6). Let n = -630 + b. Calculate the greatest common divisor of 86 and n.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x - 563*x - 17252 + 4119 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 14*g - 16. Let v(d) = 32*d**2 - 71*d**2 + 38*d**2. Let p(i) = -2*q(i) - 2*v(i). Find t such that p(t) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/5)*(s*s*s*s**(-6))\/s)**(-37)*(s*s**2\/s)\/(s\/(s\/(((s**(-2)\/s*s)\/s)\/s)*s))*(s\/s**0)**27 assuming s is positive.\nAnswer: s**(1058\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 282 = -143*o, 225*t + 221*t + 30 = -7*o + 442*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 + d + 11. Determine u(9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:33 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 230707*i**4 + 1496048 wrt i?\nAnswer: 922828*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k + 1. Let w(i) = 49*i**3 + i**2 - 4*i + 11. Determine 6*u(z) + w(z).\nAnswer: 43*z**3 + z**2 + 2*z + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11116750 rounded to the nearest one hundred thousand?\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 13\/47 (b) 4 (c) -4 (d) -1158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from nmmnnmmww.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**3 + 69*k**2 - 429*k + 363 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + (sqrt(135) - sqrt(135)*1 - sqrt(135)))*-1)\/(sqrt(33)\/(2*sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18312 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471946?\nAnswer: 2, 29, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10011102212?\nAnswer: -10011102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 12*q**2 - 24*q + 13. Let h be f(13). Let d = h - -1583. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*c + 2, -13 + 11 = u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 40*k - 110. Let h be y(-3). Let f(l) = -9*l - 9. What is f(h)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-172890)\/(-6916)) - 1986\/(-16881). What is the smallest value in 5, o, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 1. Let l = 20 - 23. Give m(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*u - o**3 - 299*o**2*u**2 + 4*o**2 + 4*o*u**2 + 3*o*u + 3*u**2 + 419*u wrt o?\nAnswer: 6*o*u - 6*o - 598*u**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -74158\/15?\nAnswer: -74158\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -37. Suppose 62 - d = 4*f - 3*t, 24 = f + 2*t. What is the highest common factor of f and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:01 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = -1. Let d = 10 + -10. Let g = d + z. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-6))\/((-3)\/(-240)*4). Which is the second smallest value? (a) -2\/23 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -757*s - 1. Let z = 10 + -7. Suppose 0 = -8*k + z*k - 10. Is b(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 41. Let u be -36*((-1)\/2 - 2). What is the highest common factor of r and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + -5. Let q = 20 + y. What is the closest to 0 in q, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3609335*z. Let s(o) = -3*o. What is s(w(g))?\nAnswer: 10828005*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6*g - 30. Let n be (18 - 60)*(-20)\/g. Suppose -3*j - 2*j = -140. Calculate the highest common divisor of j and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.75 - -0.65. Put y, -2, 3 in increasing order.\nAnswer: -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.12, -2, -5, -0.5, -12 in decreasing order.\nAnswer: -0.12, -0.5, -4\/7, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48100 divided by 28?\nAnswer: 12025\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -80*p*u**4 + 31*p*u**3 + p*u**2 + p - 608 wrt u?\nAnswer: -1920*p*u + 186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(320)*-6*5)**2.\nAnswer: 288000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -13. Which is the closest to l? (a) -2\/13 (b) 3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - 11) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.8 - -45. Let z = 3.13 - w. What is z rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 829*a + 3 + 1816*a - 2 - 1 as q*a + k and give q.\nAnswer: 2645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*o - 15 = 0, 5*n = -3*o + 333 - 323 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 23*n + 42*n - 19*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, -4, -8\/21, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6730, -13455, -20180, -26905, -33630, -40355?\nAnswer: -47080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1\/8, 0.9, -2\/19, 2, 4 in ascending order.\nAnswer: -25, -2\/19, 1\/8, 0.9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.44 + 1.45. Which is the third biggest value? (a) 1 (b) -4 (c) -1\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132121831.\nAnswer: 137, 8263663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*j - 308 + 31, 569 = 4*j + 5*t. Round j to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 756613470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131057949 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -9. Let h = -60 - -51. Let i be (h\/(-2))\/(2\/(-4)). Does i = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = -5*q, 8 = 2*q - 3*p + p. Suppose -y + 70 = -q*y. Suppose 9*s = 4*s + y. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/2*4)\/((-3444)\/(-410)))\/((-96)\/(-56)).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2742 - 1423. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 13\/30*w**6 - 2\/3*w**4 + 0*w**5 + 0*w**3 + 0 + 0*w**2 - 5*w. Find the third derivative of v(r) wrt r.\nAnswer: 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 12 - 8) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (-1*sqrt(209) - sqrt(209)))*1 - sqrt(209))\/(-2*sqrt(275)) + 5.\nAnswer: sqrt(19)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 161 - 965 = 0. Suppose -z*t + 36*t = -868. What is the highest common factor of 308 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/(-6) - 2)*6. Suppose -5*o = -2*a - 35, 0*a + m = 4*o + 5*a. Suppose 0 = 2*w - o - 1. Which is bigger: w or 5\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3482 less than or equal to -3545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/176 or -1?\nAnswer: 15\/176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/22 and -13\/50328042.\nAnswer: 553608462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23033, -46061, -69087, -92111, -115133, -138153, -161171?\nAnswer: -184187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12028\/1940 + (-7 - 0 - -1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 + 1280 = 3*g. Is 57 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 4*h + 7. Let s be z(5). Suppose -2*m = s*l - m - 2629, -4*m = -12. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j - 5. Let v be i(-1). Let o(p) = 3*p**2 - 4*p + 2. Is o(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 2*m + 14. Let k be 74\/(-14) - 1\/(21\/(-6)). Does 8 divide a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 95268580?\nAnswer: 1047954380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -19 - (-63 - -54).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60768 is divided by 122.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3750535 = 254*t - 99*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, 1, 4, 308 in descending order.\nAnswer: 308, 5, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 37\/7 - (-6)\/(-21). Suppose 2*z - 2*d - 27 = d, -4*z = -2*d - 42. Suppose 0 = 5*w + z - 34. Solve -2*k + 7 = r - 0, w*r = b*k - 25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 713 = -0*p + 4*t, -3*t - 147 = -p. Is 35 a factor of p - (2 + -1 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 4*y - 2*y - 5*y + 2*y + 2*y + (0 - 4*y + 0)*(0 - 3 + 2) + 12*y + 12*y - 17*y + 4 + 5*y - 4)*(4*y - 4*y + 3*y) as n*y + a + q*y**2 and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/13)\/b**(-4\/3))**11 assuming b is positive.\nAnswer: b**(539\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -412*y**3 - 9068*y**2 - 86*y + 57. What is h(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 14 = -2*o - 0*u, u = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4)*2*18. Let j(y) = -y**3 + 8*y**2 + 8*y + 7. Let k be j(f). Let i(u) = u**3 + 3*u**2 + u - 1. What is i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 10*f**2 + 23*f - 77. Is o(23) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3590586287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1501 + 2777. What are the prime factors of r?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*x - 229*x + 76*x - 197*x - 181*x)*(0*x - 2*x + x) + 308 - 81*x**2 - 308 to q + v*x**2 + b*x and give v.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-1 - -2)\/1. Suppose 3*j + u*k = -2*k + 360, -5*j + 4*k = -600. What is j rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16228 + 45757 = 2*l, -c = 1. Suppose -2*u + 21923 + l = -5*x, -3*u + 79377 = -4*x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -21, -67, -157, -303, -517?\n\"Answer: -2*h**3 - 4*h**2 + 12*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3565 is divided by 66.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 50*h + 2640. Calculate the remainder when 10077 is divided by h.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.022, 2\/3, 5, 54\/13, -1\/3 in ascending order.\nAnswer: -1\/3, -0.022, 2\/3, 54\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1 = n, 3*n - z + 9 = 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 7 - 3 + 1. Give v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2265, -2266, -2267, -2268, -2269?\n\"Answer: -o - 2264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 94*v**2 - 135*v**2 + 65*v**2 + 377*v**2 wrt v?\nAnswer: 426*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 11303103*i**2 - 31940028705600*i - 31940040008704.\nAnswer: -(i - 5651552)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 496741983 from -0.2.\nAnswer: -496741983.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nntl when four letters picked without replacement from nntqlfot.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + ((sqrt(242)*-3)**2 - sqrt(242)) + -2 - sqrt(242) - (sqrt(242) + (sqrt(242) - ((-5*sqrt(242)*-3 + sqrt(242) - sqrt(242)) + sqrt(242)))).\nAnswer: 143*sqrt(2) + 2176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (2 + -16)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -593, 4, -10 in decreasing order.\nAnswer: 4, -10, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0*r**5 - 1\/3*r**4 + 0*r**6 - 32*r**2 + 0 + 1\/105*r**7 + 0*r + 37\/3*r**3. What is the first derivative of l(s) wrt s?\nAnswer: 8*s**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*b*d**3*h + 26*b*d**3 + b*d + 2*b + 426*d**3*h + 3137*d**2*h + 5*d*h - 7*h wrt d.\nAnswer: -588*b*h + 156*b + 2556*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a = -i - 49, 5609*i - 5604*i + 27 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -0 + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 13600?\nAnswer: 122400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573455731.\nAnswer: 573455731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70440 and 2040.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27966 and 6.\nAnswer: 27966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, -0.4, 0.12, -3\/38, 1\/11?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 395b13 (base 12) in base 13?\nAnswer: 270501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1353 (base 11) to base 8.\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((85\/221)\/(1 + (-12)\/(-8)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*3\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.28 + 482.28. Let f = -473 + w. Which is the third smallest value? (a) f (b) -6\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*x**2 + 2268*x**2 + 3*x + 6*x.\nAnswer: 1814*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8139 + 8399. What is the greatest common divisor of 1340 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-4))**(-42)*q**(-7)\/(q*q**15\/q) assuming q is positive.\nAnswer: q**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/272024 and -9\/1480?\nAnswer: 1360120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 882, 1585, 2298, 3027, 3778?\nAnswer: 4557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q + m - 3, -21 = -4*q - 5*m. Suppose -u - 54 = u. Put q, u, 3 in decreasing order.\nAnswer: 3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32217811*z + 15720526 wrt z?\nAnswer: 32217811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - 73231*d**4*v - 24*d - 834*v wrt d?\nAnswer: 40*d**3 - 878772*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 5*j**2 + 2*j - 4. Let z(l) = l**2 - 7*l + 6. Let y = -11 + 16. Let s be z(y). What is q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 2*b - b - 25, 0 = -5*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -7722 (b) -0.5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 4, l: 4, m: 4, t: 3}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15520 and 9436.\nAnswer: 36611680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -26.\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82 - -41 - (0 - 1)) + (-45 - -32)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l**2 - l + 2. Let w be m(-2). What is the third smallest value in 2, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0733 in 14.4, -5\/6, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*j + 121*j - 2562 - 8458 for j.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 45*v**3 - 246*v**2 + 4608*v - 4320.\nAnswer: 3*(v - 12)**2*(v - 1)*(v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 4*o + 1. Let u(i) = 3*i + 9*i - 1 - 9*i. Suppose 2*f - 8 + 0 = 0. Suppose f*a - 2*a = -4. Give a*h(j) - 3*u(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25308 = 720*t + 1759*t + 2221 - 5218 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41461.1 and 0.06.\nAnswer: 2487.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12955437*n*y**2*z**2 - 298*n*y**2*z - 56*n*y**2 + 3*n*y*z - 24*z wrt z?\nAnswer: -25910874*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131230 + -233103?\nAnswer: -1030333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 3:40 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*b = -16. Let k = 0 - -4. Suppose 4*t = -2*z + 4 + b, -13 = -k*t + 5*z. Solve -3*w + 0*w + g = -4, 2*w = -t*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Suppose 5*t + w = -2. Which is the third biggest value? (a) -2\/7 (b) 3\/7 (c) t (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in 3, 5, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/656 in 0.4, -2\/7, 7\/17, -3, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35711 and 47150?\nAnswer: 41067650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 160 = c, -37*i = -36*i + 4*c - 40. Calculate the lowest common multiple of i and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -39. Let q be g\/(-6)*(-8)\/(-10). Solve q*u - 19 = 5*r, -3*r - 4 = -u + 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1816 - 0.1315. What is u rounded to 2 dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44118898 is divided by 1974.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916, -38503, -158596, -399701, -802156, -1406299, -2252468, -3381001?\nAnswer: -4832236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-52) + 14\/56\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2376\/1755 - (-8)\/(-52))*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*m + 12 = 2*k, -k - 9 = -2*m. Find the first derivative of -m - 3*x**4 - 21*x + 21*x wrt x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2196 and 1692.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.177473cm?\nAnswer: 41774730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let u(j) = -3 + 7*j - 13*j + 5*j. Let m be u(w). Let c(g) = 2*g**2 + 2*g - 3. Give c(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6188.16 - -6304. Let r = o + -117. Round r to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 180 - 3*b - 1020*b**2 + 5*b + 348 - 166.\nAnswer: -1020*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495471?\nAnswer: 3, 317, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -404955 divided by 9?\nAnswer: -44995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v - 69*v + 2*d = 2, v + 3*d - 7 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/7)*f))\/f)\/f**2*(f\/f**(3\/7)*f*f)\/f**2 assuming f is positive.\nAnswer: f**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102372 or -102373?\nAnswer: -102372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 27 = -5*d, 296*u + 97 = 337*u + 3*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 60, 8\/3, -3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = h + 15, -2*s = 4*h - 6 - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 57*l = 52*l + 425, r + 4*l = 97. Solve 0 = 8*a + 49 - r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301262630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 3*s**2 - 2. Let t be d(4). Let c be (-1654)\/(-30) - t\/(-135). Let b = -41 + c. Calculate the highest common divisor of b and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(1792) + 0 + -1 + 1)**2.\nAnswer: -3616 + 256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 38 + 4*n + 4*n. Let m be f(-5). Find the third derivative of 15*i**2 - 8*i**4 + 22*i**5 + 8*i**4 + m*i**5 wrt i.\nAnswer: 1800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/44)\/(5*(-11)\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (0 - -1*92) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118207901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 151817669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -7. Let x = w + -24. Let r(z) = 5*z**2 - 2*z + 1. Let j be r(1). Which is the third biggest value? (a) x (b) j (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yykk when four letters picked without replacement from {k: 7, y: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:32 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388*64482.\nAnswer: 25019016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 4374, 10517, 19108, 30141, 43610?\nAnswer: 59509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p - 323. Let c(v) = 5*v + 108. Calculate 8*c(o) + 3*w(o).\nAnswer: o - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 29445*i - 4921. Let h(d) = 4206*d - 704. Let x(n) = -15*h(n) + 2*q(n). What is the first derivative of x(t) wrt t?\nAnswer: -4200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24.5 (b) -0.3 (c) 1\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 = -9. Suppose 0*n - 41 = -c*o + 4*n, -4*o + 34 = -2*n. Let d be (-3)\/o*(-6)\/(-10). Put 0.2, d, 2 in decreasing order.\nAnswer: 2, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238962 = 576*h + 234930 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9.5 times 228224\nAnswer: 2168128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225339*o + 225244*o + 6935 = 0 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 - -5.5\nAnswer: 5.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/416 and -71\/41072?\nAnswer: 1067872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/6 + 19*k**3\/2 - 29*k**2\/2 - 2*k - 30. Let i be s(-29). Solve i = m - 7*m + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -1784, -3570, -6066, -9278, -13212, -17874, -23270?\nAnswer: -29406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 595*o**3\/6 + 102*o**2 - 22*o. Let h(p) = 29*p + 10. Let m(u) = 102*h(u) - 5*x(u). Let l(g) = 5*g + 0*g - 3*g. Give l(m(t)).\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -56\/5, -3 in decreasing order.\nAnswer: 2, -3, -56\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/252 and 13\/28?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11111221112100 (base 3) to base 4\nAnswer: 21021333333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*m**3*t + 5*m**2*t + m**2*w - 2*t*w - w - 16 with respect to m.\nAnswer: 24*m**2*t + 10*m*t + 2*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, u: 1, c: 1, s: 4}. What is prob of sequence gu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.7166 rounded to one decimal place?\nAnswer: 284.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -638.56 minus -5904.6?\nAnswer: 5266.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 0 + (3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 6:38 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 540.564 to zero decimal places.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/15 - v**4\/4 - 24*v**2. Let h(l) = 5*l**2 - 7*l. Let w(o) = -7*c(o) + 6*h(o). Let i(a) = 7*a. What is w(i(n))?\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3682 and 2893?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**2. Let y(f) be the third derivative of f**6\/360 - f**3\/6 + f**2. Let s(w) be the first derivative of y(w). Determine c(s(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 69*m**2 - 139*m - 222. Give b(71).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.24266 years?\nAnswer: 0.524266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(104\/(-39)))\/(((-3)\/14*-7)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:25 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647502.\nAnswer: 2, 11, 13, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*w - 30 = 721*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 106*x - 208.\nAnswer: -(x + 2)*(x + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(4\/3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030797 rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(11 + (-27 - -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -13\/64, -1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.29 or -1254?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in years?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 - 278. Let f = 0.01 + -0.11. What is the closest to f in 0.1, k, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 15*n**5\/4 + 13*n**2 + 63*n. Differentiate f(c) wrt c.\nAnswer: 225*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68\/20 + (-4)\/10. Let x = t - 3. Let l be (-9)\/3*2\/(-6). Put 5, x, l in decreasing order.\nAnswer: 5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**3\/3 + a**2 - 6*a - 34. Let j be k(-4). Is 24 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 1, t: 2, s: 2, n: 1}. Give prob of sequence its.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppphphppppppp. Give prob of sequence hhpp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390627375 and 375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 9 + -5)*-1. Suppose 2946 = 3*b + 2*l, -p*l + 8*l = 3*b - 2925. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 2619000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 80*t - 81. Calculate the remainder when 113 is divided by q(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*i - 7, -3*x + 2*i - 2 = -x. Let c(q) = q**3 + 5*q**2 - q - 6. Let h be c(-5). Let z = h - 0. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935*b + 4*q = -932*b - 13119, 5*b = 2*q + 21837. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 9*n - 39 - 66*n - 40 + 84 + 20*n.\nAnswer: -21*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 2. Let b be o(8). Suppose -9*v = b - 33. Calculate the smallest common multiple of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2\/5 - 30392*d + 1672044\/5 = 0.\nAnswer: -38001, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiijjiii. What is prob of picking 4 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*j + 37, 33 = -5*j - 2*d - 26. Let r be ((-52)\/8)\/j*12\/2. Solve 0 = 4*a + 4*k, -2*a = -r*a + 3*k + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 125 = -5*h - 2*v, -2*h = -3*v - 52. Let l = -4 - -4.4. Which is the nearest to h? (a) l (b) 5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*j - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -24?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(324)*-5)\/(1*sqrt(300)*-3*5).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3343\/16 + 209. Let z = -24 - -30. Find the common denominator of (21\/(-45))\/(z\/75) and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 24. Let k be g(8). Suppose k = -y - 9*y. What is the third biggest value in -0.5, y, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79167 + 7679201\/97. Let w = -0.04 - -3.04. What is the third smallest value in 0.5, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8. Let h(x) = -x + 7. What is -7*h(b) - 6*v(b)?\nAnswer: 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 95, 140, 191, 242, 287?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*m + m = 9, 5*m = -4*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 59723008 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*m**2 - 82815*m + 2250 = 0 for m.\nAnswer: 5\/184, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (175 - 182) + ((1 - -4) + -1 - -39)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 91 = 19*z + 4*z. Solve -11*i = c - 13*i + z, 2*i = -4*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 1139*c**3\/3 + c**2\/2 - 521*c - 725. Find the second derivative of r(o) wrt o.\nAnswer: 2278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 30. Let l(s) = 3*s**3 - s**2 + s - 1. Let q be l(1). Suppose i - q = -4*r. Let w(k) = -2*k + 5. Let f(v) = -v + 1. What is r*w(u) + 3*f(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 5*g**2 - 15*g + 2. Let x be s(7). Let l = -69 - -65. What is the second biggest value in 64, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9956 + 2?\nAnswer: -9954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*l = -2610, 3*u - l = -4*l - 1965. Let y = u - -22752\/35. Suppose h + 0*h - 2*n = 5, n = -5*h - 8. Is y <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1630200)\/(-1482))\/(33\/3).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - -172?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1218737835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-4 + 1)) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -49, 1084 in ascending order.\nAnswer: -49, -16, 1084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-2697)\/(-58))*(-66)\/16\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1410, -3948, -7638, -12480?\nAnswer: -18474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941135609.\nAnswer: 59, 15951451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 774.337 times -0.39\nAnswer: -301.99143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*y**2*z + y**2 + 7456*y*z + y - z - 389070 wrt y.\nAnswer: 50*y*z + 2*y + 7456*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 395138 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066868 take away -5.3822?\nAnswer: 5.449068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*f**2 - 45*f**2 + 86*f**2)*(13 - 13 - 78*f).\nAnswer: -858*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 16*s - 43. Calculate x(17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197076 or -197073?\nAnswer: -197076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*t - 470*a**2 + 6*a*t - a - 60*t wrt t.\nAnswer: -3*a**2 + 6*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Let a be ((0 - 3) + 8)*z. Suppose -11 = -a*i + 14. Solve -p + 0 - 2 = -r, 10 = -i*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a**2 + 7 + a**3 - 12*a - 17 + 2*a. Suppose 5*p + 3*s + 29 = 3*p, 3*s - 20 = 5*p. Is m(p) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4245*d + 11. Let c be s(5). Let w(g) = 5*g - 1513*g**2 + 2*g + 14 + c*g**2. Let o be w(-6). Round o to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**4 + 8*c**2 - 9*c**2 - c**4 - 2*c**3 + (19*c - 92 + 92)*(-2*c**3 + 2*c**3 - 4*c**3) as s*c**2 + d*c + x + f*c**4 + m*c**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 9*m**4 - 831*m**2 + 438*m**2 + 462*m**2 to g*m**4 + c + l*m**2 + i*m**3 + j*m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from jftyttjtjt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.71225 micrometers to centimeters.\nAnswer: 0.009471225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 76237392*j + 726517492370208.\nAnswer: 2*(j - 19059348)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -67\/24*b**4 + 1\/6*b**3 - 9*b**2 + 0 + 0*b. What is the units digit of r(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/7 + 75*u\/7 + 84708\/7.\nAnswer: -3*(u - 181)*(u + 156)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccaa. Give prob of sequence cacc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48553372 to the power of 1\/2, to the nearest integer?\nAnswer: 6968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8206480 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146157 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1\/6, 0, 0.4, -170?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 34. Let w = t - 10. Suppose -8*b + w = -7*b. Let j(a) = a**2 - 2. What is j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 77 = 12*i. Solve 10 = -14*g + i*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 2*y\/3 - 8\/3.\nAnswer: (y - 4)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1165983.\nAnswer: 3, 7, 13, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33715620651\/1615790 - -30953\/14689. Let f = r + -41719\/2. Let v = -42\/5 + f. Which is the second smallest value? (a) v (b) 2\/3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (2 - 5) - -1. Suppose 0 = u*i - 5*i + 33. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2383 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Let k be (o - -6) + 0 + -2. Put 1, k, -5 in decreasing order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300999.5ug to nanograms.\nAnswer: 300999500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i. Let x(h) = 127*h**2 - 655*h - 14. Calculate a(x(w)).\nAnswer: -1524*w**2 + 7860*w + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**5\/5 - 3*i**4\/2 + 4*i**3 - 4*i**2 + 214. Determine u so that k(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(2\/3)*h)\/h)\/h)**(-15)*h*h**(-1)*h*(h\/(h*(h\/h**(-4))\/h))\/h*h assuming h is positive.\nAnswer: h**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105457?\nAnswer: 11, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 - 4*u. Let i(j) = -2*j**3 + 6*j**3 - 3*j + 7*j. Let a(s) = 6*i(s) + 7*r(s). What is the second derivative of a(d) wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325709062 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -299*l**2 + 604*l**2 - 7 - 304*l**2 - 10*l. Let f be k(11). Solve -8 = 2*v - f*v, 0 = -5*s + 2*v - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 + 14*w + 38. Let n be g(7). Let z be n\/(-14) + 40\/(-140). Which is the nearest to -1? (a) -2\/5 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + 102. Let k = 140.3 - s. What is the closest to 2 in k, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 20. Let n(o) be the third derivative of -1\/240*o**5 + w*o**4 + 0*o**3 + 0 + o**2 + 1\/480*o**6 + 0*o. Factor n(v).\nAnswer: v**2*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1, -5, -6 in decreasing order.\nAnswer: 1, -3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5055 - -5066. Solve 0 = -r*z + 27 + 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = -3*c - 1, -5*j + 10 = -2*c. Let o(d) = -5*d + 28. Let s be o(c). Let h = 0 + 4. Sort -6, s, h.\nAnswer: -6, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 178 = -3*k, 2*k = -3*l - 0*l - 241. Let c = l + 103. Solve 2*r + 5*o = -3*r - 35, 5*r + c = -2*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/138)\/((-8)\/48*1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1759.424 nanograms to kilograms.\nAnswer: 0.000000001759424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 13 - 11. Suppose q = 4*i - 2*n, 4*i - n + 3 = 14. Solve -i*g = 10 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26064?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - -0.1. Let b be (-434)\/(-3255) - (-52)\/(-90). What is the nearest to -0.3 in 2\/13, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(14)\/sqrt(8) + 2*sqrt(63)*2 - ((-3 + sqrt(14)\/sqrt(2))**2 + ((0 + sqrt(847))**2 - sqrt(847)) + 2).\nAnswer: -865 + 59*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 1, i: 6, z: 7}. What is prob of sequence if?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 f, and 1 h when three letters picked without replacement from {h: 1, x: 1, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*k - 4 + 253*k - 482*k as n + d*k and give d.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4646 = o - u, 4*u = -2*o - 1412 + 10680. List the prime factors of o.\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 329 - 328.6. Sort -0.05, -0.3, m in increasing order.\nAnswer: -0.3, -0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.598953 and -4.\nAnswer: -2.395812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 7. Let w be f(-3). Let m = 695 + -690. Sort -1\/5, w, m in increasing order.\nAnswer: -1\/5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 23)\/63*1\/((-2)\/27). What is the third smallest value in -2, 2, 5, -5, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -2*i**6\/3 + 4*i**5\/5 + 3*i**4 - 4*i**3\/3 - 4*i**2 - 39. Suppose b(t) = 0. What is t?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {c: 9, y: 2, q: 5}.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -211*p**3 - p**2 - 5*p + 1. Let s(l) = -211*l**3 - l**2 - 6*l. Let g(c) = 2*s(c) - 3*w(c). Let r be g(-3). Round r to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j**3 - 18*j**3 - 51 + 51 + 19*j**3.\nAnswer: -47*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z + 1 + z**2 + 30*z**2 + 3*z**2 + 6*z**3 - 24*z**3 - 30*z**2. Let d = -5 - -3. What is the tens digit of w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -396 - -696. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6598828?\nAnswer: 2, 1649707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-8*b + 2*b - 3*b)*(5*b - 4*b**3 - 5*b).\nAnswer: -108*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((330\/1330)\/33)\/(96\/336)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15985 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*j*l**2*r**2 + j*l**2*r + j*l*r - 36*j*l - 5*j*r**2 - 4*j*r wrt r.\nAnswer: -32*j*l**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 369 = -42. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152497866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 0.5, 1, 0.032, 3, -0.43.\nAnswer: -0.43, 0.032, 0.5, 1, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1376 + 0.1624. Let m = 0.18 - 8.68. Let i = m - -9. Sort i, -2, l in descending order.\nAnswer: i, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from xvrbixxlrbr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -557 - 442a24?\nAnswer: -44337b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - 7) + 8 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 17*m**2 - 20*m - 36. Let d be n(-18). Suppose 19 = 4*q + 3. Suppose q*j - 3*y + d*y = 80, -12 = -3*y. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36597463293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 6*t - 53. Let h be y(11). Solve -2*l + 2 + 1 = -a, h*l - 2*a = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-4 - (-41 - -1)). Suppose -7*j + 1 = 15. Let w be 5\/j*o\/10. Let g(z) = z**2 - 12*z + 13. What is g(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:52 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-1\/16)*t**(1\/4)*((t*t**9)\/t)\/(t\/(t*t**2*t*t*t)) assuming t is positive.\nAnswer: t**(243\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 11*h**2 + 8*h - 7. Let v be o(5). Let d = -12 + v. Is -2 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/2*((-145)\/10 + 5). Let u = v + 103. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -bb - -2?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-465)\/(-186)*9\/(4275\/(-80))*1?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13140 and 7587620?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 + -149. Let m be (-1)\/u + (-187)\/(-363). Which is the smallest value? (a) -8\/3 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-12))\/(99\/(-3696)). Which is the second biggest value? (a) f (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 34582494 is divided by 804.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66165 divided by -22055.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/3719, -0.1 in descending order.\nAnswer: 1\/3, 1\/3719, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 25. Let b(r) = 2*r**2 - 8*r - 3. Let o be b(l). Let v = -3384\/19 - -178. Sort v, o, -0.2 in ascending order.\nAnswer: o, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.83 + -0.17. Let m = v + 8.8. Let k = -0.3 + m. Round k to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166463, 166396, 166323, 166238, 166135, 166008?\nAnswer: 165851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 651534 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/84 and 157\/330?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229266 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*2\/9*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -926791?\nAnswer: 4\/926791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -58*z - 2. Let p(c) = -2*c - 35. Let b be p(-14). What is the units digit of n(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 80833 + 298?\nAnswer: 80b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 1)*((-3 - 2 + 4)*(6*l - 3*l - l) - 2*l - 7 + 7) + (3 - 3 + 2*l)*(3 + 2 - 3) - 3*l - 2*l + 3*l + l - 2 + 2 in the form m + d*l and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34850552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a + 45. Suppose 5*b + 25 = 0, -3*b + 4*b + 17 = 2*d. Let n be p(d). Let i(o) = o**2 + 2*o - 2. Give i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 2*v + 9. Let z be s(4). Let q be z\/10*1*888\/(-18). What is the greatest common divisor of 1184 and q?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3336560 or 3336561?\nAnswer: 3336561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -13. Let p be (-15959993)\/28 - 2\/q. Round p to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 22. Let s(g) = -g**3 - g**2 - g + 1. Let r(u) = 2*u**3 + 30*u**2 - 42*u + 26. Let j(h) = v*s(h) + r(h). Factor j(p).\nAnswer: -4*(p - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -36*a**2 + 13234*a + 4386. Determine r(368).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 10, 23, 30, -167 in descending order.\nAnswer: 30, 23, 10, 2, 0, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t - 1. Suppose -65*k + 246 = 51. Let q(o) = -19*o + 2. Calculate k*q(n) + 4*z(n).\nAnswer: 15*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h + 41. Let z(s) = 4*s - 39. Let x(f) = -3*c(f) - 4*z(f). Let r be x(25). Solve -w + 0*w - r = 4*b, 0 = -3*w - 3*b + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087997 to the power of 1\/2, to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 214849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -31*r**2. Let t(k) = -55274*k. What is t(d(c))?\nAnswer: 1713494*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.85 and 213.743.\nAnswer: 211.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 301 - 305. What is the remainder when ((-70)\/a)\/(3\/18) is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 17*m - 2*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from pkkkkvxptdpv.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 0*h + 30 = 11*o + h, 4*h + 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 6*d**2 + 8*d - 4. Let l be u(7). Let r be 6 + -1 + -2 - l. Solve -m = 5*x + 28 - r, m = x + 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 2*q**2 + 0*q**2)*(52*q**2 - 28*q**2 - 35*q**2) + q**4 + 2*q**2 - 2*q**2 + (0*q - q + 3*q)*(-2*q**3 + 0*q**3 + 0*q**3) + q**4 + 1 - 1.\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 3*h = -1233. Let s = 139 - h. Which is the second smallest value? (a) -0.4 (b) 4 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 10*u - 3. Suppose 0 = 5*j - 70 + 20. Let a be q(j). Let z(b) = -1 + 2*b - 4*b + 0*b. What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-24))\/((-12)\/(-16) + 3). Is v less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x. Let k be ((-42)\/(-56))\/(30\/(-24) - -2). Let a(o) = -38*o**3 - o**2 + 7*o. Calculate k*a(w) + 6*g(w).\nAnswer: -44*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 27*k + 1107. Let x be i(-41). Let t(y) = y**3 - y. Determine t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*x**2 - 121*x**2 + 12*x**2 as j*x + b + p*x**2 and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2. Suppose -2*i = 3*i + 3*j - 27, 3*i - 13 = -j. Let k be g(i). Suppose 3*p - 5*p + 28 = k. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193579.71 rounded to the nearest 100?\nAnswer: -193600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, i: 1, h: 4, t: 2}. Give prob of picking 1 h, 2 t, and 1 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-49)\/(-2) + -15)\/((-2)\/(-1536))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -10*k**5 - 265*k**4 - 1500*k**3 - 1325*k**2 + 1960*k + 1140 = 0.\nAnswer: -19, -6, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324728?\nAnswer: 2, 40591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m**2 - 9\/2*m**4 + 0*m - 105 + 67\/3*m**3. Find the third derivative of d(w) wrt w.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95735 is divided by 798?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p = -4. Which is greater: 3\/8 or p?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-2)\/(-18) + 0). Let h = -5 + d. Let w = 7 - h. Solve 2*o - p - w = 3*o, 0 = -4*o + 2*p - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4250\/16 + 1 + 2. Let o = 269 - q. Let z be -2*(-8)\/((-320)\/(-15)). What is the nearest to 2 in 2, z, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 276a + -397?\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 20.5. Let t = i - 1. What is the third smallest value in t, 0, -8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w*w**1*w)**(8\/13)*(w*(w\/((w*w**2\/w)\/w))\/w)**(-46) assuming w is positive.\nAnswer: w**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38956 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z, j + 0*z = -4*z + 9. Suppose 0 = -2*v - 0*v. What is the first derivative of j + 7*q + v*q + 2 wrt q?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*y = 35, 3*z - 22 = -2*y - 0*y. Solve -5*a - z = 4*i + 2, 4*i - a = 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/27 and -32\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/8430 and 1\/260800.\nAnswer: 219854400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) - (4 - -2)\/36\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 - (-102)\/(-15)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = -2. Let r be ((-24)\/(-60))\/(80\/50). Which is the closest to q? (a) r (b) 2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152746 + 24910 = -12*y. Let a = -6542 + y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 18. Let u(p) = 7*p**2 - 14*p - 2. Let t(j) = -19*j**2 + 40*j + 6. Let w(c) = -3*t(c) - 8*u(c). Give w(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/10028976 and 71\/12204.\nAnswer: 90260784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 730\/10727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000736868 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 395845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 17) + (1 - 0 - (40 + -42)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 - 3*g. Let j be 9\/4 + (-4)\/16. Let i(p) = -3*p**3 + 3*p. Let w(n) = j*i(n) + 3*b(n). Determine k so that w(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12 - (-2)\/3) + -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 142179 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49857820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/37709123 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 339 - 349 - (0 - -22) - -5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 3145973800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14129\/(-28258)*((-1)\/3 + -1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/364 and 85\/161928.\nAnswer: 1133496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -57. Let f(w) = -j + 4 + 2*w - w**2 + 0*w. Calculate f(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 13*o**4 + 7 - 178*o**4 + o - 5 - o**2 - 3*o to g*o**4 + f*o**3 + h*o + k + d*o**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3238*j**2 + 681 - 143 + 3237*j**2 - 271 - 267.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -87.7312. Let c = t + -0.1187. Let s = -0.15 + c. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 37 + 4 = 0. Calculate the greatest common divisor of 15 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 5, h: 1, c: 2, u: 1, a: 3}. What is prob of picking 1 h and 2 a?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.101 - -42.899. Let v = 35847945 - 35847987.999906. Let r = x + v. Round r to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-15))\/((-1)\/(-10)). Suppose 0 = -2*x - k + 2. Let m be 2629999 + (-1 + x - -3). Round m to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5227?\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0025 + -0.0025. Let u = -271.02 - -266. Let q = 0.02 + u. Put b, 0.3, q in descending order.\nAnswer: 0.3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuhuuhu. Give prob of sequence huhu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 9:24 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67518447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 222814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121844552?\nAnswer: 2, 37, 411637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 3*i**3 + 4*i**3 + (694*i - 353*i - 345*i)*(2*i**2 + 0*i**2 - i**2).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 7000*c - 421155.\nAnswer: -5*(c - 1337)*(c - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 191. Let v(a) = a**2 + 6*a + 6. Let s be v(-6). Let q be (p - (s + -3))*-1. Sort q, 5, 4 in descending order.\nAnswer: 5, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 11*t**2 - 236*t - 26. Let l be w(-10). Calculate the highest common divisor of l and 676.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 993*6.12\nAnswer: 6077.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1a847?\nAnswer: 1a84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -1\/4, 2653?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6763*w - 500452. Determine v(74).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322755914 to the nearest integer?\nAnswer: 17965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 - 3*v - 3. Let l(h) = 3*h + 1. What is the remainder when l(3) is divided by o(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.5. Let g = -16.78 + 16.08. What is the nearest to 1 in g, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/32964 and 3\/3116.\nAnswer: 626316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r + 4*j - 16, -2*j - 16 = -3*r. Let v = -22 + r. What is the common denominator of -3\/2 and ((-6)\/v)\/(60\/16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -917417.919 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4510*f + 481378 - 124699 + 324331 for f.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 328\/1189*1015\/14\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 128*o + 53. What is the hundreds digit of y(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.04 or 239\/168?\nAnswer: 239\/168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94644, 94946, 95248, 95550?\nAnswer: 95852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 + 4*w + 2. Let y be (2 + (-14)\/4)*-2. Suppose -5*i + y*u = 13, -6*u + 2*u = -4*i - 4. What is the units digit of c(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203140 is divided by 162?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 88) + 156 - 121?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -14. Let d = -34.4 + h. Which is the closest to 7? (a) d (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4910780 to the power of 1\/2, to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 829.2033 nanometers?\nAnswer: 0.0000008292033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -4, 6 in descending order.\nAnswer: 6, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1356130 is divided by 2967.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (0 - 1) + 10. Suppose 3*d - 5*g = -145, -4*d + 27 = -4*g + 231. Let q be (-10)\/d - 42\/(-11). Solve q = 3*w - p*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -773944048 - -12.\nAnswer: -773944036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -210\/907429?\nAnswer: -210\/907429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*w + 135*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*f - 3*b, -3 = 2*f - 2*b + 37. Let r = -12 - f. Suppose -3*t + 5*u = -69, u - 149 = -r*t - 2*u. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 54*x - 1. Let m(a) = 54*a - 1. Let q(c) = 5*m(c) - 6*p(c). Let o be q(1). List the prime factors of 3\/(-12) + o\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 + 4 = -3*b, 2*b - 2*x + 4 = 0. Is -4\/499 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) -3 (c) -1\/4 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -2*l, -l - 33 = -6*l + 4*y. Suppose -18 - 7 = -l*d. Put -2, d, 0.4 in ascending order.\nAnswer: -2, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430790 = -5*p + 5*f, -2*p + 97*f - 101*f + 172334 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.222 + -0.022. Let r = o - -1.8. Put 0.2, -0.04, -2\/3, r in decreasing order.\nAnswer: r, 0.2, -0.04, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phhipihippihfpgiihf. Give prob of picking 2 p and 1 i.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**5\/20 + 7*v**4\/12 + 4*v**3\/3 - 7*v**2\/2 - 21*v - 27. Let m(k) be the first derivative of u(k). Is m(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 66.1\nAnswer: -132.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -20. What is the greatest common factor of i and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 43*m + 13. What is the units digit of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, -1\/5, 2\/3, 1 in descending order.\nAnswer: 1, 2\/3, 2\/7, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = -3*t - 0, 0 = -5*t - y - 4. Put -5, -28, 5, t in descending order.\nAnswer: 5, t, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020280518 to the power of 1\/2, to the nearest integer?\nAnswer: 31942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -4524?\nAnswer: 451d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54, 224, 500, 876, 1346, 1904, 2544?\n\"Answer: -i**3 + 59*i**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12605 * -21.\nAnswer: 264705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 808890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30339*r = -30347*r + 16. Let j(b) be the first derivative of -9\/2*b**r + 3\/4*b**4 + 0*b + 12 + 2*b**3. Factor j(h).\nAnswer: 3*h*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.002 + -5.002. Which is the closest to 0? (a) 3 (b) g (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 128*j + 24. Let k(a) = 128*a + 19. What is 7*k(b) - 6*n(b)?\nAnswer: 128*b - 11","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {c: 1, i: 4, d: 6, y: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -42. Put v, 1, 4, -3 in descending order.\nAnswer: 4, 1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1941*c - 508 + 3925*c - 1988*c)*(1 + 0 - 3) to the form i*c + h and give h.\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -40917980 to the nearest 1000000.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6))\/((-790)\/237). What is the nearest to 3\/5 in -1\/3, d, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/(-3672))\/((-2)\/81)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:14 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.975. Let f = z - -3.965. Let u = -0.01 - f. What is the third biggest value in u, -0.5, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22539 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7219 = -d, -5*d + 36059 = -5*v + 4*v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + 1)*(-3*b - 6 + 6)*(4*b - 3*b - 2*b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.37602 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/33)\/((-2)\/(-3)). Suppose -u = -q*l + 10, l + u - 5 = 6*u. Solve l*n + 11 = -9, 0 = d - n - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.97*628323\nAnswer: -609473.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.6058704 minutes to weeks.\nAnswer: 0.00511963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 m when three letters picked without replacement from {w: 3, y: 5, z: 2, n: 2, j: 1, m: 6}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.9 - 1.1. Let c be (2\/15)\/((-4)\/(20\/(-3))). Is a < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1289 - -1289.0000517. Round n to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(2299) + -1*sqrt(2299) + sqrt(2299) + sqrt(2299) + sqrt(2299)))**2 + 5*(-2 + sqrt(475))**2.\nAnswer: -100*sqrt(19) + 747271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**5 - 309425*f**4 - f**3 + 29711515*f**2 - 2*f wrt f.\nAnswer: -420*f**2 - 7426200*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/1364*1\/(6\/(-33)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -1\/2*x**3 + 0*x**2 + 3*x + 0*x**4 + 0*x**6 - 1\/42*x**7 + 0 + 0*x**5. Find the second derivative of g(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Let v be a(-3). Suppose 0 = -5*x + v*x + 189. Round x to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 28*b = 3*f + 56*b - 31 - 36, -5*b - 10 = 0 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 2 q when four letters picked without replacement from {d: 1, u: 3, i: 7, p: 1, t: 3, q: 2}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 124, 244, 366, 490, 616, 744, 874?\n\"Answer: g**2 + 117*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 7. Let c be m(-6). Suppose c*s - 2 = 5*b + 6*s, -5*s + 12 = 3*b. Let d(n) = 6*n**2 + 2*n + 1. Determine d(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o - 17. Let m be q(7). What is the remainder when 2\/m*(149 - -13) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j - 7. Let r be c(0). Let x be r + 16 + 2*-1 - 3. Solve -4*n + x*l - 7 - 25 = 0, -2*l + 26 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 8*j - 3. Let c be -1 + -1 + 4\/(-1). Let d be n(c). Calculate the greatest common divisor of 45 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -31. Let t be (-1)\/o - 340\/(-15). Is (t\/(-4))\/(2\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -4*q. Let k(h) = h**3 - 30*h**2 - 132*h - 141. Let t be k(34). Which is the closest to 2\/3? (a) t (b) 1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, 3, -14, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.74 - 0.26. Which is the closest to 0.2? (a) -0.3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -4 + 8 + 2 - -17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/48 + 7*v**3\/12 + 4*v**2 + 1160*v. Factor i(l).\nAnswer: -(l - 16)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**3\/3 + 4*s**2 - 5*s + 4. What are the prime factors of y(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254.832 + -256. What is t rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3630)*-4 + (-1*sqrt(3630) - sqrt(3630))*1)\/(sqrt(810)*-4 + sqrt(1210) + sqrt(1210) + sqrt(1210)*2 + sqrt(10)).\nAnswer: -110*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.2, 17, 541, 1012?\nAnswer: 1012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 34.2. Let w = -2.8 - x. Let g = -10 + 9. Which is the nearest to 0? (a) -0.4 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.054771336 + -0.4?\nAnswer: -2.454771336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnanaaannnnnnnna. Give prob of sequence nn.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 216142 - 23326?\nAnswer: 162513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*1*4. Let s(a) = 5*a**2 - a**2 + a**2 + 1 - a**2. Is s(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11686371 (base 10) in base 12?\nAnswer: 3ab6b43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12029 - 14415 - 685*d + 2477*d wrt d?\nAnswer: 1792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000323326921 to seven dps.\nAnswer: 0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6*l + 8)*(2 - 7 + 0 + (-5 + 1 + 2)*(-6 + 2 + 3) + 1 + 4 - 3 + (-3 + 3 + 2)*(-2 - 3 + 4))*(-4 + 3 - 1 + (-2 + 3 + 1)*(-1 + 0 + 0) + 0 + 3 + 0).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let b(s) = s**3 - 26*s**2 + 27*s + 5. Let m(t) = b(t) + 2*j(t). Let d be m(25). Solve -d*v + 2*v = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011010 - -10?\nAnswer: -1101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 4*t**3\/3 - 4*t**2 + 3. Factor l(s).\nAnswer: 4*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9254852238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of -390*(2 - -5 - (-418)\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*y**6 - 7*y**2 - 14?\nAnswer: 7440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) - (2 + sqrt(104)\/sqrt(2) + sqrt(52)).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*(3 + 52\/(-12)). Let f be (-3 + 15\/9)*-6. Let s = 7 - f. What is the closest to o in -1\/7, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 31*p - 81. Give h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*z**2 - 287*c**3 - 9*z**4 with respect to z.\nAnswer: 6*c**3*z - 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430008 and 680846.\nAnswer: 8170152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774961761?\nAnswer: 3, 7, 36902941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -20*b + 1 + 18*b - 5 - 6. Let g(f) = f + 9. Let j(v) = -2*g(v) - 3*h(v). Determine j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - s = -242, -4*u - 47*s = -54*s + 164 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 12. Let d be (6\/(-8))\/((-5)\/60). Let j be v(d). What is the third derivative of -8*n**2 - n**2 - n**j + 17*n**3 + 0*n**2 wrt n?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/14)\/(6\/(-42)). Suppose -i + g = 2. Solve -2 - 36*x**i + 44*x**3 + 10*x**4 + 14*x + 6*x**5 + 0*x**5 - 36*x**2 = 0 for x.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 - 180. Suppose 11*z = 2*n + 12*z - 15, 40 = v*n + 3*z. Solve 2*k = -3*p - 2*p + 20, 3*p + n*k = 31 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -36500 and -36498 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 - 8*x**2 - 8*x. Let z = -291 - -293. Let d(p) = p**3 - 2*p**2 - 2*p. What is z*q(g) - 9*d(g)?\nAnswer: -3*g**3 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 36 = 4*u, -609*u + 2*h + 10 = -614*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c - 1417 - 641 - 667 = 2615 for c.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-3)*6\/(-4). List the prime factors of -1 + k + 2 + 13.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25374 + 25374.13019. Let q = 0.9 + -0.77. Let a = v - q. Round a to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -551 and 1.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 = -21*b - 691 + 385 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 - 5 = 0. Suppose 3*j - 19 = 5*m, 11 = 5*j - 0*j + q*m. Solve -4*f - 27 = -j*r, 3*r - 15 = -0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(2496))\/(sqrt(36)\/sqrt(3) + sqrt(3)).\nAnswer: -32*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106467637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 5 + (4 - 1) + (24 - 29).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -11, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.03, -708?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 5*q**2 + 176*q - 877. What is o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4 - z + 3 + 2 - 15. Let h(i) = 2*i + 11. What is 3*h(b) + 5*p(b)?\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 35760*r**2 - 1639*r. Let b(d) = -131*d**2 + 6*d. Determine -1639*b(v) - 6*s(v).\nAnswer: 149*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*m**4 + 3*m**5 - 5*m - 3*m + 0*m + 3 - 1 + m**4 wrt m?\nAnswer: 60*m**3 + 492*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731336921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**2*j**3 + 23*c**2*j + 2*c**2 + 1456124*c*j**4 - 324*c*j**2 - 17*c wrt j?\nAnswer: -30*c**2 + 34946976*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 divided by -5?\nAnswer: 579\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-2))**(-23))**(-2\/135))**18 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 4*x**2 + 2. Let t be l(-4). Let i(v) = 3*v. Let z be i(1). Factor z*g**2 - g - t*g**2 + 2 - 4.\nAnswer: (g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28) + (0 + sqrt(252) - sqrt(252)))*-5.\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Suppose -q*w + 26 = 10. Find the first derivative of -1 + 5 + 4*s**w - 2*s**4 wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqtqtqqtqtq. Give prob of sequence tq.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6) + (-69)\/(-18). What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452288 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*3 + 19 + -14. Suppose 0 = 5*v - 4*c, a*v + 6*c + 7 = 9*c. Solve -v*n + 2 = h - 1, 5 = -5*n - 3*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 27 = 57 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 3, f: 7, b: 3, q: 5}. What is prob of picking 1 q and 1 f?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 1170, 2.3, -5\/4?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 + -423. Let k = p + 152.2. What is the closest to k in 0.5, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (51 - 43) - 22.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 45*q**2 - 588*q - 1304. Calculate t(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1264 + -1182. What is the remainder when 406 is divided by j?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 41894 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1124?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1131 - 1067. Calculate the remainder when 342 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 76, -6, 6 in decreasing order.\nAnswer: 76, 6, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2643163 and 2643166 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 - 430 - (8 + 7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/4))\/(k*k*k**(1\/4)*k))**(7\/2)\/((k\/(k**(-1\/4)\/k)*k)**(2\/91)*(k\/((k\/(k**3*k))\/k)*k)\/k**(2\/11)) assuming k is positive.\nAnswer: k**(-1262\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -108, -718, -1750, -3216, -5128?\n\"Answer: -2*d**3 - 199*d**2 + d + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.1 * -1.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 13) to base 4.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*c + 12 = -18, 13*w - 4*c + 31 + 102 - 38 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 249*l**2 + 20*l + 76. What is the hundreds digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-1)\/1 - 28\/70).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1\/11))\/d)\/d)**2 assuming d is positive.\nAnswer: d**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 16784.4 to the nearest one hundred.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*x + 133*x - 186*x - 49*x**3.\nAnswer: -49*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/6 - -2)\/(5\/(-75)). Suppose -2*b = -b + 2. Put 7, l, b, 0 in decreasing order.\nAnswer: 7, l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 5*h + 4. Calculate n(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7029491602205 from 0.7.\nAnswer: -7029491602204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.13153 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 + 6*l - 378. Let v(s) = -10*s**2 + 8*s - 381. What is 4*d(m) - 3*v(m)?\nAnswer: -2*m**2 - 369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56875? (a) 0 (b) -1\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/7 + 636*h**2\/7 - 4680*h\/7 - 5312\/7.\nAnswer: 4*(h - 8)*(h + 1)*(h + 166)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 966697.4 micrometers?\nAnswer: 96.66974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*r**3 - 159440*c**3*r - 19*c**2*r**3 - 865*c**2 - 1 wrt c?\nAnswer: 6*r**3 - 956640*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 4 - s - 4. Let w(i) be the first derivative of i**3\/3 - i**2\/2 + 3937. Let v(a) = a**2 + 5*a + 2. Let u be v(-5). Give u*w(z) - 2*x(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 154 = -0*u. Let t = -46 - u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133335 (base 13) to base 3.\nAnswer: 212120122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3457, 3459, 3461, 3463?\n\"Answer: 2*o + 3455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*s + 2*s - 28 = 0, -w + 64 = -4*s. Let m = 0 + w. Calculate the highest common divisor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Suppose 2*c + 81 - 199 = u. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174848, -174848, -174846, -174842?\nAnswer: -174836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5916*r**6 - 13*r**2 + 8*r - 7?\nAnswer: 709920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*q - 2 + (-q + 4*q - q)*(-2 + 4 - 4) + (0*q - 3*q - 6*q)*(1 + 3 + 0).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Suppose 5 + 3 = -5*n + 4*h, h = n + j. Let b be 4\/(-5)*10\/n. Solve -4 = b*f - 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1656? (a) -0.4 (b) -4 (c) 1\/7 (d) -0.2 (e) 2\/767\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -4*g + 4*h + 32, 3*g - 3*h - 6 = 0. Let c be -11*(0\/g - 8). Suppose r = -c + 286. Does 33 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-6)*52\/3. Let o = u - -16. Let h be (-5)\/4*4\/o. Which is the biggest value? (a) -0.4 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080894007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6*c**3 - 4*c**2 + 4*c**2 - 2*c**2 + 3*c**2 in the form x + h*c + a*c**2 + s*c**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1049 by -2.\nAnswer: -1049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 10*s + 463. What is l(-18)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u. Let z(y) = -30*y**2 - 105*y - 845. Let v(r) = 25*d(r) + z(r). Find a such that v(a) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1249, -85, 0, 7 in descending order.\nAnswer: 1249, 7, 0, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - -120. Suppose -x - 9 + z = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81875.9 + -81876. Let i be ((-1)\/2)\/(2\/(-20)). What is the closest to v in 4.8, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = 5*f - 3*d, f - 300 = 5*f - 4*d. Let y = -69 - f. Solve -y*o + 12 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -151. Put f, 5, -4, 27 in increasing order.\nAnswer: -4, f, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - k = -430, c - 609*k - 136 = -614*k. What is the remainder when c is divided by 29 + (3 - 1)*-1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 8*s + 21. Let k be i(-9). Suppose -g - 4*q = -22, 0 = -5*g + g + 4*q - k. Solve 0 = c + 5*v - 5, g = -2*c + 2*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15420 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1338, -1336, -1334, -1332?\nAnswer: -1330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 9 + 10 - 5 - g as x + h*g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 60. Let q = b - 3. Find the second derivative of m + q*m - m**3 - 11*m**3 - 2*m**3 wrt m.\nAnswer: -84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240015.\nAnswer: 3, 5, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 - (-6 + 5 + 9 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1007277985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa - -13?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**3 + 2*r**3 - 4*r**3)*(-3*r + 3*r - 5*r) - 1562*r**4 - 4118*r**4 + 147*r**4 - 418*r**4 to the form p*r**3 + a*r**2 + y*r + g + x*r**4 and give x.\nAnswer: -5941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/236 or 2?\nAnswer: -5\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + f - 561 = -5*r, 2*r = -5*f - 1150. Let c = -287\/24 + 12. Find the common denominator of c and (-9)\/63 + r\/112.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/416 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 22*h**3 + 4*h. What is the units digit of z(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.054, -8.7, -3?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 0.7 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 107*z**5\/4 + z**3\/6 - 173*z**2 - z - 150. Differentiate t(g) with respect to g.\nAnswer: 1605*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 9*v + 0*v = 5*n - 6*v + 75, -n + 5*n - 4*v = 108 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 4:12 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -611\/3 + 202. Let w(m) = m**2 + 4*m - 22. Let p be w(-7). Let u be (-15)\/4 + 4 + p + 1. Is u at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3416\/13 or -262?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 + -1.64. Which is the second biggest value? (a) n (b) 0.6 (c) -0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/4)\/(-5))\/(33\/(-88))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639066?\nAnswer: 2, 3, 43, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3. Let i be l(0). Suppose -a = 0, 0 = 5*p - i*a - 5*a + 10. Let g = p - -17. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + l**2)*(3*l**2 - 4*l**2 + 2*l**2) + 37*l**2 - 37*l**2 + 172*l**4 + 2*l**4 - l**4 - 2*l**4 + (-2*l + 2 - 2)*(2*l**3 + l**3 - 2*l**3).\nAnswer: 170*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2151549 divided by 1\nAnswer: 2151549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630575785.\nAnswer: 5, 821, 397217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943391?\nAnswer: 23, 41017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v - 96. Let w be y(9). Solve 3*z + w*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10487773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 656 + -655.9. Which is the nearest to h? (a) 2\/71 (b) 1\/6 (c) 0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 761980434 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 17*b - 92 = 85, -38*w - 5*b + 299 - 83 = -42*w for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16397, 30555, 44713, 58871?\nAnswer: 73029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -9 (c) 13 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*14.6.\nAnswer: 102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248796*k - 1249595*k = -75905 for k.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - -0.67. Let n = 1.6 - p. Which is the nearest to n? (a) -2\/11 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313525 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:47 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 332979 = -332859 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + -0.04. Sort -3, 0.1, m in decreasing order.\nAnswer: 0.1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2329 - -2883. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47768 and 1456.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 3*h**2 - 83*h - 580. Give x(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2749911 is divided by 686?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 30*u + 160 = 0. Calculate the smallest common multiple of 18\/(0 - 6\/(-4)) and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -31 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1491681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22, 1086, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30729*x**3 - 55956*x**3 + 29059*x**3.\nAnswer: 3832*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**6\/300 + v**5\/150 + 7*v**3\/3 - 8. Let o(m) be the third derivative of k(m). Let o(c) = 0. Calculate c.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.187545 kilometers?\nAnswer: 5187545000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.015 + 0.085. Which is the nearest to h? (a) -0.06 (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 8*u - 7*u)*(-17 + 4 + 4) as c + o*u and give o.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let d(n) = -6*n. Let v(x) be the second derivative of -x**3\/2 + 6*x. Calculate v(d(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(2048) + 1 + sqrt(2048))*-5)**2 + (sqrt(200)*1 + 2 - ((0 + sqrt(18) - sqrt(2))**2 - (sqrt(10)\/(-1*sqrt(5)))**2)).\nAnswer: -9590*sqrt(2) + 205021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*t = -16, 0 = 2*t + t - 6. What is the highest common factor of 9 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpw. Give prob of picking 1 p and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11911292 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13724 + -13680. Calculate the highest common factor of 539 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 8\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnnwwjjjjjnj. What is prob of sequence jj?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -107? (a) -1474 (b) 4\/5 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(((-3)\/3)\/(-3)). Suppose -3*k + 666 = 660. Suppose -l*w + w = 4, k*w = 2*u - 582. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 6) to base 2.\nAnswer: 1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2928 and 163843560?\nAnswer: 327687120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4900 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 254156?\nAnswer: -254151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1335, 1347, 1361, 1377, 1395?\n\"Answer: a**2 + 9*a + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y**2 - y. Suppose r - 5*b = 13, 2*b - 4*b - 13 = -3*r. Let s(l) = 7*l**2 - 9*l**2 - l + 2*l**3 - 5*l**r. What is 2*s(m) - 5*v(m)?\nAnswer: -m**3 + m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.13654 microseconds in minutes?\nAnswer: 0.000000385609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.65 + -0.61. Let y = -80\/7 - -275\/21. Which is the smallest value? (a) y (b) -1\/10 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403768730 divided by 80753746?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 6554460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c**4 - 545*c**2 - 15*c - 90371 wrt c?\nAnswer: -20*c**3 - 1090*c - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/131340 and -119\/328350.\nAnswer: 656700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:35 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-10)*(-1 + 6) - (-945 + 1) is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*g**2*v**2*x**2 + 4*g**2*v*x - 3*g**2*x**2 - 2*g*v**2*x**2 + 18*g*v**2*x - 8*g*x**2 wrt g.\nAnswer: -78*v**2*x**2 + 8*v*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 - 310. Let m = 203.97 + w. Let l = m - -0.03. What is the second biggest value in l, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 623 * -880.\nAnswer: -548240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20538280)\/(-2240))\/((-2)\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6570 less than 120635?\nAnswer: 114065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f - 4912 = 0. Let s = f + -749. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1794 - 1068 = -53*r. Let s be 4\/14 - 250\/(-7). What is the greatest common divisor of r and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11467948 + 0.742\nAnswer: 11467948.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 80489 and 1.\nAnswer: 80490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -5*z - 216. Suppose 0 = 2*d + 2*d + h - 3, d + 4*h - 12 = 0. Solve 3*g = z*o + 3 + 3, d = 3*o - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*h = 7, -2*w - 2*h - 3*h + 9 = 0. Let k be (-3)\/((-1)\/w + -1). Solve -1 = t + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 329 - 446 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.044, -0.067, -0.3 in increasing order.\nAnswer: -4, -0.3, -0.067, 0.044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = -361*k + 3368 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -280, 212 in descending order.\nAnswer: 212, 47, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/720 + 3*a**5\/40 + 5*a**4\/24 - 6*a**2. Let r(x) be the second derivative of n(x). Let i be r(-9). Solve -l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1\/2888, -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169299 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140.1 - 140.2. Which is the closest to -2? (a) -19 (b) -2\/5 (c) -5\/4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 14.8. Let u = 259.9 - 116. Let f = u + -144. Which is smaller: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -37*q**2 - 4*q + 5. Let s(u) = u**2 + u - 1. What is 4*s(j) + x(j)?\nAnswer: -33*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6323 (base 7) in base 11?\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -47010.6.\nAnswer: -47010.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 27*o**2 - 42*o + 353. What is a(-29)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f - 169. Determine r(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/7, 5, -9404, 4?\nAnswer: -9404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 508045765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375176 and 736?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -31, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from {c: 3, k: 2, b: 4, m: 6, a: 1, r: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4760 - 881. Let m = r + -2222. Is m 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 3:28 AM and 2:32 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5671*g + 34036. Determine t(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/2261*-70)\/(2\/19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1218)\/(-580) - (-4)\/(-40))*759\/(-22)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*(-18 + -1))\/(-2). Let n = -17 + d. What is the units digit of n*2\/(-10)*-15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - n + 0*n)*(214168*n + 30 + 9*n**2 - 214168*n) in the form h + q*n**3 + z*n + d*n**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -21 - (1 + 19 + -45 + 30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/3, -1\/12, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 38681 = -2*q - 13541, 5*z = 5*q + 65285. What is the remainder when z is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 920838462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86407056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Suppose 5*o - 64 = -2*w, -50 - 20 = -5*o - 5*w. What is the remainder when -2 + (-3)\/(-3) + o is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (3 - 32) - (2 - 0)) + -6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 5. Let i = 62 - 41. Let k be (-14)\/i + 16\/6. Let h(q) = q**2 - 5*q - 11. Determine k*h(c) + 5*x(c).\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - g**2 - 4134*g**3 + 1377*g**3 + 1366*g**3 + 1379*g**3 - 1 to the form x*g + a*g**2 + q*g**3 + r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-1)\/(-1))*-17*94\/(-17578).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 4*h + 3. What is the remainder when v(5) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/109 - 256\/2071. Let k = 1 - 2. What is the biggest value in k, -2\/13, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f + 25. What is u(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -2*k - 3*k. What is the units digit of k*10\/(-5 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.907272 + 74.7.\nAnswer: 52.792728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7133887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92315 divided by 239?\nAnswer: 92315\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d + 0*d)*(-5 + 2*d + 5) + (-3 + 2 + 4)*(2*d + 0*d + 0*d)*(5 + d - 5).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b**4 + 19*b**3 - 3*b**2 - 29*b + 11. Let c(y) = -20*y**4 + 28*y**3 - 4*y**2 - 44*y + 16. Let m(f) = 8*a(f) - 5*c(f). Factor m(l).\nAnswer: -4*(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -11*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**3 - 2*c**2 - c + 1. Let j(h) = 14*h**3 + 6*h**2 + 3*h + 25. What is j(b) + 3*m(b)?\nAnswer: -b**3 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -1, 0, -18, 49 in increasing order.\nAnswer: -18, -3, -1, 0, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/60 and -63\/5830.\nAnswer: 34980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 5*t**4\/12 + 3*t**2\/2 - t. Let c(o) = -14*o**2 + o - 8. Let s(y) = -6*c(y) - 17*l(y). What are the prime factors of s(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14011 = 14*z - 119193. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-6 + 16 + -6 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29882316 to the power of 1\/2, to the nearest integer?\nAnswer: 5466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**10\/(w\/w**7))\/(w\/(w\/w**5)*w**(2\/5)))**23 assuming w is positive.\nAnswer: w**(1219\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 6. Let m(k) = -1. Let x(y) = -h(y) + 6*m(y). Let c(f) = -660*f - 165. Let w(i) = 47*i + 12. Let s(d) = -4*c(d) - 55*w(d). Determine s(x(u)).\nAnswer: 110*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 50 + (-3522 - -3445).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d + 40. What is t(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*b - 8, -2*b + 8 = 4*u - 2*u. Let x(k) = -k + 4. List the prime factors of x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44357836 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 7823648.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 a factor of 43176273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-27))\/(1\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + n**2. Let o be h(-1). Suppose 0 = 3*j - 0*j + 5*p, -22 = -2*j + o*p. Let f = j + 84. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3660?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - (-57 + -26 + -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 4, c: 2, k: 2, e: 1}. What is prob of picking 1 e and 1 k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9255576 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130601 (base 8) to base 12.\nAnswer: 22369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5342.00036 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 11352505442?\nAnswer: 11352505450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 123*x**3 + 12*x**3.\nAnswer: 135*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 14 = 5*u, 3*u + 4*c - 27 = -c. Suppose u*f + 4 = 24. Suppose -j + f = i, i - 2*j = 5 - 0. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4206 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-7 + (3 - 2)). Suppose 2*f = o - 8, 0*o - 4*f = t*o - 40. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1, -16426 in ascending order.\nAnswer: -16426, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -64. Let v be -1*(1 - 2)*2. What is the third biggest value in v, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.5, -1\/4, 13.1, -0.056.\nAnswer: -1\/4, -0.056, 1\/3, 0.5, 13.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 772 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80419935, 80419937, 80419939, 80419941, 80419943?\nAnswer: 80419945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 399228 and 57171.\nAnswer: 23554452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35693, -71353, -107013, -142673?\nAnswer: -178333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261954516.\nAnswer: 2, 3, 149, 239, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 1065*o - 1027*o. Factor 6\/7*w**4 - 5\/7*w + 0 - 6\/7*w**o + 4\/7*w**3 + 1\/7*w**5.\nAnswer: w*(w - 1)*(w + 1)**2*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 5\/9 in decreasing order.\nAnswer: 1, 5\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 77.\nAnswer: -5, -2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -43*o**3 + 3*o**2 + o - 2. Suppose 0 = -6*d + 6 + 6. Let p be x(d). Which is smaller: p or -331?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 - r**2 - 3*r**2 + (4 - 4 + 3*r)*(4*r - 4*r - 2*r) - 1632 + 1632 + 41*r**2.\nAnswer: 37*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1856, 3806, 5806, 7856, 9956, 12106?\n\"Answer: 25*u**2 + 1875*u - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 21 = -2*y. Solve -2*m + 3*h + 5 = 6*h, 4*h = 3*m + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 68*o**3 + 2*o**2 + 2*o + 78. Let g(y) = -3*y**3 - y**2 - y - 1. Let p(b) = 2*g(b) + s(b). Differentiate p(x) with respect to x.\nAnswer: 186*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 363 + 27. Suppose 120 = -2*c + 1306. Let z = c - i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibxbxxixiii. Give prob of picking 1 i, 1 b, and 2 x.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/21*6\/(-2). Suppose 4*q = 4*y - 544, -3*y + k*y + 4*q = -130. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1737218*q. Let f(t) = t**2. Give w(f(r)).\nAnswer: 1737218*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-141)\/45 - -3) + (-1941)\/(-45). Suppose r = q - 38. Suppose -4*t + 5*b - 15 - 1 = 0, 0 = -4*t - r*b + 24. Solve 3*h - g - 11 = h, 0 = g + t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 10*y - 15. Let b be x(-12). Suppose 0 = 12*p + 28 - 52. Solve -p*r + 15 = b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 4*n**2 + 3*n. Let c(a) = -a**3 - 4*a**2 + 4*a - 1. Let j(h) = -3*c(h) + 4*u(h). Calculate the remainder when j(-6) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**2 - g. Let n be y(1). Let b(j) = 2*j**3 + 6*j**2 + 10*j. Let z(v) = -6*v**3 - 17*v**2 - 29*v. Give n*z(p) + 17*b(p).\nAnswer: -2*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231372763.\nAnswer: 231372763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 90*d**3 + 27*d**2 + 27*d + 27. Let w(r) = 7*r**3 + 2*r**2 + 2*r + 2. Determine 2*g(b) - 27*w(b).\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86784*h**3 - 254971*h?\nAnswer: 520704*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + y**3 - 7*y**3 - y**3 - 5 with respect to y.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12301\/30 + -1222\/3. Let i = b - 7\/2. Sort -21\/2, 3, i, 0.1 in ascending order.\nAnswer: -21\/2, i, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from {m: 5, l: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwvssussssswvwsvvsw. What is prob of picking 2 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.23, -1\/26, 3\/4, 1\/2?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1647*y. Let c(v) = -v - 44. Let i(r) = -r + 66. Let g(x) = 3*c(x) + 2*i(x). Calculate g(z(u)).\nAnswer: -8235*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 8*x + 2 = 0. Suppose -x*d = d - 6. Suppose -6*q + 12 = -2*q + 5*m, -4*m - 15 = -5*q. Solve 0 = d*y - y - q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 49*w. Let l(f) = 10*f. Calculate -4*g(a) + 21*l(a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*l = 816*l + 868 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2814917*o*v**3 - 109*v**3 - 19*v**2 - 2*v - 7 wrt o?\nAnswer: -2814917*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10073 is divided by 2247.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -399686577 divided by 139?\nAnswer: -2875443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22955, 22956, 22957?\nAnswer: 22958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*l - 6*l = 27, -5*j - 4*l - 40 = 0. Let c = 8 + j. Suppose c*o + 16 = 5*o. Calculate the smallest common multiple of 8 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 10*q**2\/7 + 4*q\/7 - 16\/7.\nAnswer: 2*(q - 1)*(q + 2)*(q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 627\/(-57) + 32\/4 + 5. Solve 1223 = -a*v + 1211 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262408607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.31 + -0.39. Let f = y - -7. Let i = -1\/64 + -107\/1344. Which is the biggest value? (a) f (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (sqrt(2880) + sqrt(2880)*-2)**2*3 + sqrt(2880)*2 + -2 + ((sqrt(2880) - (1 + sqrt(2880) + 3)) + -2*-1*sqrt(2880))**2).\nAnswer: -672*sqrt(5) + 40344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 166, 251?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7616 = -43*x - 3*x + 252*x - 2890 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 955 divide 495107335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 166623869\nAnswer: 16662386.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8 + 2. What is the remainder when 5 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 0 - -165 - 0. Suppose -3*h + v + 260 = 0. Let k = h - 36. What is the remainder when k is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -101, -325, -659, -1115?\nAnswer: -1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 15 = 0. Let k be 636\/15 - n - 4\/10. Let g = -23 + k. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 6 - (-2 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1364*f - 1808*f - 868*f)*(-1 + 1 + 2) to s + d*f and give d.\nAnswer: -8080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2. Let o(s) = -3635*s**2. Calculate o(a(v)).\nAnswer: -58160*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 49*c**6\/720 - 7*c**4\/12 - c**2 - 26. Let z(x) be the second derivative of m(x). Let b(v) = 12*v. Give 21*b(h) - 5*z(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*o - 3*o. Suppose 0*w - o = -2*w. Let p(s) = -s**3 - 16*s**2 + 2*s + 32. Let d be p(-16). Solve -w*a - 2*a + 16 = d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20260115 and 7160.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**2 - 11*i + 11. Let g(p) = -5*p**2 - 6*p + 6. Let m(h) = 11*g(h) - 6*k(h). Let o(j) = 48*j**2. Calculate m(o(s)).\nAnswer: -2304*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 14*d + 4*d - 55 = 0, k = 5*d + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 18. Solve 2*y + f = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16281 = 212*y - 621*y - 194*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*l = -122, 0*b + 3*l = -4*b - 182. Is 1\/2 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 m when four letters picked without replacement from jmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/495 and 31\/1547095?\nAnswer: 13923855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6466340270 - 6466340270 - 41*z**2.\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3619197 nanoseconds?\nAnswer: 0.0003619197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12389135 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-3) - (-3)\/9. Suppose 2*s - 1 = -2*q - 5, -b*q = 5*s + 10. Calculate the remainder when 5 is divided by 4\/8 + (-5)\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*w - 11. Let j be (-1)\/(1 + (-4)\/w). Let s = j - -7. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*h - 6. Suppose -z - h*j + 13 = -5*z, z = -j + 2. Is (4 + -385 - -4)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 74.7. Which is the third biggest value? (a) v (b) 4\/3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 144 = -9*k. Suppose d + 0 = -5*c - 1, -3*c = -2*d + k. Let g(t) = 263*t - 17. Let b be g(d). What is b rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + m - 68 + 94 = 0, -5*s + 31 = -m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*r + 211*r + 2*x = -14, 2*x - 82 = 21*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -28*b**3 + 7*b**2 + 7*b - 7. Let k(h) = -19*h**3 + 5*h**2 + 5*h - 5. Determine 7*k(p) - 5*x(p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyvwvvwwwl. Give prob of sequence vw.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**3 + 8*i**2 + 3*i. Let o(t) = -t**2 - t. Let j(p) = -6*p**3 - 11*p**2 - 8*p. Let l(x) = -j(x) + 6*o(x). Calculate 8*l(v) - 5*w(v).\nAnswer: 3*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (5 - 2 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 18*m - 2108. What is the remainder when z(39) is divided by 352?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/(170\/595).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(36\/6)\/6. What is the third derivative of 5*r**2 - 12 + 3*r**c + 11 - 29*r**3 wrt r?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6717 + 6829. Calculate the lowest common multiple of 112 and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7118343 divided by 790927?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 486, 1077, 1672, 2271, 2874?\nAnswer: 3481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146176, 584701, 1315570, 2338783?\nAnswer: 3654340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*12\/(-10)*-30 + (31851 - 31843).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -317, -478, -641, -806, -973, -1142?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let c be 2*2\/3*x. What is the units digit of (3 - 1) + (c - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 1 = 0. Let y be (0 - j) + (-11 - -3). What are the prime factors of (-215)\/(-45) + (-2)\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*i - i**2 - 6*i + 15*i - 3*i to r*i**2 + z*i + m and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwnjwhmjjwwwmnhn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036051179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140831*c - 140834*c - 140828*c + 422492*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, 2, 17, 30, 41, 50, 57?\n\"Answer: -d**2 + 20*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.337 and -635.\nAnswer: -648.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, 1 k, and 1 i when four letters picked without replacement from {i: 2, d: 4, f: 2, k: 1, n: 6, o: 3}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 - 15*d**3\/2 - 333*d**2\/4 - 405*d - 729.\nAnswer: -(d + 6)**2*(d + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*j - 85 = 98*j. Let k be 4*27\/(-12) + 19. What is the highest common factor of k and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 416\/12 - 2\/(-6). Let s be (-14)\/i*(-25 - 0). Suppose -y - 4*y = -s. Solve -4*d = -y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1233681 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101110100 + -100101100010?\nAnswer: -1000011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zauz when four letters picked without replacement from {p: 7, u: 2, h: 7, a: 1, z: 2}.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 97, 92, 87, 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 2, -21, 0?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 33, 14, -1, -19, -3.\nAnswer: -19, -3, -1, 0, 5, 14, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-438)\/(-5)*65\/26 + 0 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l + 781. What is d(-5)?\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j**2 - 4*j - 3. Let i be o(-2). Let r be i + 1 + (-64)\/36. Factor -2\/9*f**2 + 2\/9 - 2\/9*f + r*f**3.\nAnswer: 2*(f - 1)**2*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + p = -11, 2*c + 0*p - 3*p - 21 = 0. Suppose -25 = -2*f - c. Suppose 2*g = 4*g - 2. What is the least common multiple of g and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993766919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooososooosss. What is prob of sequence oso?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 4*n**2 + n + 2. Let j(a) = -a**2 - a - 1. Let h = -1 + 3. Let k = 40 + -39. Determine h*j(z) + k*m(z).\nAnswer: -2*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.2 - -30.1. Let b = 9 + -6. Put -4, -3\/2, l, b in descending order.\nAnswer: b, l, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112101 - -11002120110?\nAnswer: 10222001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109108229?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Let i(v) = 2*v**3 + 3*v - 3. Let c(j) = -80*j**3 + 3*j + 4. Let p be c(-2). Let q(s) = -p + s + 637 + 0*s. Calculate b*i(o) - 2*q(o).\nAnswer: 2*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1247 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*u + 2 - 96*u + 416*u**3 - 184*u**2 - 16*u**2.\nAnswer: 416*u**3 - 200*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 214, 428, 642, 856, 1070?\n\"Answer: 214*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -k + 149. Calculate the remainder when k is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 8*d**2 + 6*d + 1. Calculate the remainder when u(8) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:14 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-9))\/(0 - (-13)\/(-195))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 9:33 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 2*s - s**2 + 2*s**2 - s**2 + 6*s**2 - 3*s**2 + (-2*s - 4 + 4)*(-3*s + 3*s - 2*s).\nAnswer: 7*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 38 + 64. Let d = -29 + i. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 8*b**5\/5 + b**4\/2 + b**3\/3 - 43*b + 21. What is the third derivative of j(d) wrt d?\nAnswer: 192*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 109?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 6*y + 3. Let h be w(-4). Suppose 2*x = 5*d + h + 3, 0 = -d - 5*x + 8. Let a(v) = v**3 + 2*v**2 + 2*v - 2. Calculate a(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r + 1. Let z be i(-2). Suppose 20 = z*s - 4. Solve s*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 5. Let c be t(6). Let r(d) = d**3 - d - 2*d**2 + d**2 + 4*d**2 + c - 4*d**2. Let i(k) = -5*k**3 + 6*k**2 + 6*k - 6. Calculate -i(o) - 6*r(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1489*m. Let c(k) = -5*k. Calculate g(c(y)).\nAnswer: -7445*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-621)\/(-72) + ((-2)\/7 - 35\/(-5096))?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8758048.\nAnswer: 2, 13, 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 275, 369 in descending order.\nAnswer: 369, 275, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*a + 87*a = -86*a + 261*a + 305 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121807981 to four decimal places.\nAnswer: 0.1218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {a: 6, l: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 202873, 203605, 205595, 209473, 215869, 225413?\n\"Answer: 105*k**3 - k**2 + 202769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6 and 225\/189 + (-3)\/(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -290*a - 1713*a - 4512*a + 2949*a - 4823*a in the form t*a + q and give t.\nAnswer: -8389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21171.50786 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13\/5 (b) 2\/9 (c) 3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294733299.\nAnswer: 3, 7, 463, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 9:51 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61 + -484?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/5, -0.2, -0.1, -1125?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:04 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -2, -3, -6 in increasing order.\nAnswer: -6, -3, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 24. Suppose -2*h + 5*c = -30, 2*h - c - n = 3*c. Suppose -3*x + 15 = -0*g + 3*g, h*g = -3*x + 17. Calculate the greatest common divisor of 28 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2602 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 1. Let m(c) = -2*c + 2. Calculate -m(s) - o(s).\nAnswer: 6*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*s**4 + 3*s**3 - s**2 + 112 wrt s.\nAnswer: 264*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 135*x - 365. What are the prime factors of z(15)?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28390763 + 921576.\nAnswer: -27469187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 1, e: 9}. Give prob of picking 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 255*k**3 - 17*k**2 - 20*k + 55. Is p(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4 = -2*h, -q - 3*h = 37 - 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2, -5 in descending order.\nAnswer: 4, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, -15, -75, -139?\n\"Answer: -2*x**2 - 50*x + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (6 - (-7 + 2)) + (-56 - -40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 574950367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 845837158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, s: 9}. What is prob of sequence qs?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6513, -11613, -16713?\nAnswer: -21813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1153507 and 1962889.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:10 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -470593612 and 1.\nAnswer: -470593611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - b**2 + 2. Suppose 61 = -5*t + 51. Let f be x(t). Let y be (-2)\/3 - 10\/(-6). Sort 2, y, f in decreasing order.\nAnswer: 2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -24. Let r = -13.8 + g. Which is the third biggest value? (a) r (b) 3\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/3)\/((7 + -40)\/33))\/(2\/144)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -19965b0?\nAnswer: -19965ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/60 + 3*z**5\/20 + z**3 - 9*z**2 - 1. Let d(w) = w**3 - 4*w**2 - 3. What is 2*a(h) + 5*d(h)?\nAnswer: h**3 - 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 198430 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let g(w) = -3*w**2 + 5*w + 26. Let n(r) = 5*r**2 - 8*r - 39. Let z(x) = 8*g(x) + 5*n(x). What is z(o(t))?\nAnswer: 4*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -857*s + 793*s + 3283520. List the prime factors of s.\nAnswer: 5, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 6*q**2 - 2*q - 9. Let r be k(-6). Let s = r - 0. Differentiate -3*n**3 - 3*n**3 - s + 0 wrt n.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from cooooocwoczyocyoo?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 + 37 + y**2 + y**2.\nAnswer: 10*y**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, -5, -45, 8, 64, 4.\nAnswer: -82, -45, -5, 1, 4, 8, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/((-3933)\/(-702)) + (-4)\/38. Factor 2*i**f + 93 + 15*i**5 - 17*i**5 - 93 + 2*i**3 - 2*i**2.\nAnswer: -2*i**2*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 90\/(-4))*2. Suppose -i = -3*n - 34. Suppose -r = 4*c - 41 - 91, n*r - 56 = -2*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18247308.\nAnswer: 2, 3, 43, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(3*l + 2*l**2 - l**2 - 9*l)*(l + 0*l - 3*l).\nAnswer: -2*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -54*((-4)\/(-24) + (-2)\/(-6)). Let f be 3\/u - 16\/72. Which is the closest to 1\/5? (a) -3 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*j, -2*j - 1 = -c - 3. Suppose k = -5*u + j*k + 312, 5*u - 330 = -5*k. Let n = 8 - -8. Calculate the remainder when u is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190292 and 904?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126996520, -126996523, -126996528, -126996535, -126996544?\n\"Answer: -x**2 - 126996519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t - 4*j, -5*j - 28 = -3*t - 3*j. What is the lowest common multiple of t and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -182, -174, -166, -158, -150, -142?\n\"Answer: 8*a - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.0895677 to 0 decimal places.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3371267*-0.006\nAnswer: -20227.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/168201 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 46 = -44 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 4*d**2 - 3*d**4 + 2*d**3 + 30228 - 30288 to l*d + x*d**4 + w*d**3 + b*d**2 + h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374872250.\nAnswer: 2, 3, 5, 1833163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2 = 4*u, -35*i + 33*i - 3*u = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and -2.58?\nAnswer: -3.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/2, -1\/4, 0.4, 0.08?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695295?\nAnswer: 5, 7, 48437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.25 - 1. Let u = -0.05 - n. Let c be (0 - (-8)\/(-30))\/(-2). What is the biggest value in c, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-75)*-5*30\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 214*k**2 - 653*k + 4177. Give h(211).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110990435041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33915 and 14.\nAnswer: 67830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 0.3 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 2. Let p be r(14). Suppose 0 = 3*y - p*y + 450. What is the lowest common multiple of 60 and y?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*s + 18 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 2*q - 1. Let p = 16 - 15. Calculate a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3053 + 2347. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 108087 = 2*b, 1719*b - 43260 = -2*t + 1714*b. Is 168 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5190 by 5.\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -302967 + 302963.79774. Let k = -21.2 + 18. Let n = k - q. Round n to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16566660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12507*n - 734*n + 27805*n - 7235*n.\nAnswer: 32343*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536 (base 13) to base 8.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -702*h + 1371*h - 735*h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 356935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 646*z + 7. What are the prime factors of y(2)?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63117157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14*j**3 - 62*j**2 + 11*j - 15. Determine x(4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-36 - -13) + (8 - (1 - -2))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 286491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 2. Let j(k) = -k + 4. Let v(w) = -7*h(w) + 3*j(w). Suppose 5*m + 3*u = -31, 4*m + 5 + 13 = u. Let b(x) = 5*x - 2. Calculate m*b(r) + 6*v(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v - 1. Suppose -3 = 4*l - 15. Let p(j) = -5*j - 1. Let a = 93 + -66. Let s = a - 29. Give l*x(y) + s*p(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20604 * 793\nAnswer: 16338972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqezeqzvwjzjwe. Give prob of picking 1 e, 1 w, and 1 v.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * -0.2\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*a + 2*a - 5414, -2701 = -t + 2*a. What are the prime factors of t?\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/468 and 71\/3796?\nAnswer: 34164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.6 + -77. Round f to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88291 to the nearest 100.\nAnswer: 88300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20b6b4 (base 15) to base 6\nAnswer: -53214054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 42*h**3 + 9*h**2 - 9*h - 9. Suppose -s + m = 254 - 258, s + 3*m - 24 = 0. Let b(k) = 21*k**3 + 5*k**2 - 5*k - 5. Determine s*b(i) - 5*u(i).\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1881866 (b) -2 (c) 2\/11 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*1*-4)\/sqrt(6) - (sqrt(220) - 1*(sqrt(220)*-1 + sqrt(220)))\/sqrt(11))*-2)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 20 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-2)\/(-12)*0. Let j = 20 + d. What is the lowest common multiple of j and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 41. Let i = u - -44.3. Let q = 1.33 - 1.3. Put i, q, 1 in decreasing order.\nAnswer: 1, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38013 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10564771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-225)\/9)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/24*(-23)\/(3795\/(-88))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1678 by -5.\nAnswer: -1678\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*o - 31 = 0, -3*w - 4*o = -3*o - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10657608 divided by -3.\nAnswer: -3552536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7.978 times -2\nAnswer: -15.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6 - 2 + 99577*x - 99575*x. Let y(t) = -40*t. Determine y(u(g)).\nAnswer: -80*g - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -y + 6*t + 25, 3*y + 4*t = 75. Solve y*u = 23*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 6, p + 38 + 6 = -z. Let s = 69 + z. Let w = 59 - s. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-2)\/(-2) - 6 - (-1590)\/120).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/2 in 1914, -2, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k. Let y(v) be the third derivative of v**5\/12 + v**3\/2 + 24*v**2. Let c(l) = l**2 + 1. Let t(o) = 3*c(o) - y(o). Determine t(m(g)).\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/6)*k*k)*k)\/k)**(2\/39) assuming k is positive.\nAnswer: k**(-7\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 1. Let t = -1 + 0. Let m(u) = u + 7. Let o(s) = 2*s + 16. Let a(h) = -9*m(h) + 4*o(h). Let j(l) = t*r(l) - 6*a(l). Determine j(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.7 - -26. Let s = -59.7 - u. Let z = 60.0202 + s. Round z to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2) + 1)*24\/18. Find z such that 0 - 2\/3*z**3 + 0*z + 2\/3*z**q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 852173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 + 1. Let c = -288 + 337. Suppose -12*z = c - 37. Give t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 7. Let y(s) = s + 1. Suppose -4*n - 12 + 12 = 0. Let c = 11 + n. Suppose 2*a = 2*p + 22, 5*a - c - 32 = 3*p. Calculate p*y(i) - v(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4484889ms?\nAnswer: 0.000007474815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1703*c**3*w**4 + 4*c**3*w**2 - 4*c**3*w - 2*c**3 - 208*c**2*w wrt w.\nAnswer: 20436*c**3*w**2 + 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12603.64ml?\nAnswer: 12.60364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/108*(-3)\/((112\/3)\/(-4))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-181064)\/(-72) + (-16)\/(-72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2, 100, 14, 3, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*c + 1505*c = -504*c - 1135*c + 87285 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 975*c + 1311 + 288 = 852*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 1. Let f be x(7). Let c(i) = i + 1. Let j(r) = 6*r + 6. Let y(p) = f*j(p) + 33*c(p). What is the remainder when y(-2) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -483 at least -476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2391*j + 411*j**2 + 2391*j as h*j**2 + c*j + x and give h.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.39526 to 1 decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14249 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003917791 to 5 dps.\nAnswer: -0.00392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 + 3*s**3 - 5*s**3 + 15 to j*s**3 + v + c*s**2 + b*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*z + 6*z + 2*t, -z - 5*t + 19 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4530267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, f: 1, m: 1}. What is prob of picking 1 f and 1 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 8*t**2 + 0*t - 9*t**2 as s + m*t**2 + i*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26524485 is divided by 884149?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = 16*q - 4*l + 34 - 138, -73*q - 13*l - 166 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2 = -2*j, 4 = 5*l - 3*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1120535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 77151*b + 16726140.\nAnswer: -3*(b - 215)*(b + 25932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbt. Give prob of sequence bt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2 - 2) + 2. Sort -5, v, -3, 4.\nAnswer: -5, -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80, 85, 102, 137, 196, 285, 410?\n\"Answer: l**3 - 2*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 563675 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d + d**3 + 103*d + 260*d.\nAnswer: d**3 + 394*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -203 * 8706\nAnswer: -1767318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 + 4?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 4*w + 2. Suppose 3 + 5 = 4*z. Let m be z + 3 + 1\/1. Let v be (-16)\/m*(-9)\/12. Calculate h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 7*s**2 + 9*s + 7. Let z be g(8). Suppose -3 = -3*j + z. Calculate the remainder when 23 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3248901*b**2 + 3248917*b**2 - 6*b**3 - 6497818*b**2.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 1:53 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 323 + 346. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 0*p**2 + 0*p**3 - 99*p + 1\/12*p**4 + 0. Let z(y) = -y**2. Suppose 0*u + 4 = u. What is u*f(s) + 3*z(s)?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. What is the common denominator of (-2304)\/(-396) + (-6)\/4 and (g\/1 - 1) + (-385)\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + n + 1. Let b(q) = 9*q**2 + 6*q + 6. What is -b(v) + 6*g(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235 and 1685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27111929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414, 414, 406, 384, 342, 274, 174?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4*q - 1408 = 0, 3*q = 3*s + 119 - 827. Solve -48*l = -s - 152 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1779*n - 65 = -1792*n. Solve 5*f = -n*b + 10*b + 25, -3*b - 11 = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**2 + o - 2. Let x be p(2). Let h be 0\/((-6 + 0)\/3). Suppose -4*i + x + 28 = h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*x = -2*x - 61, 0 = s - x + 17. Let y(p) = -p - 21. Let g be y(s). Let c be 0 + 4\/((-12)\/g). Calculate the greatest common divisor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4)\/(2 + -3) - -1 and (10\/4)\/((-1)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -83 + 28*v + 18*v**2 + 0*v**2 + 19*v**2 - 6 + v**3 - 5*v**2. What is the remainder when 22 is divided by c(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 18*m - 5*x + 4, 2*m - 5*x = 2. What is the remainder when 1853 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -34.5. Let c = 2.8 - i. Sort -1, 1, c.\nAnswer: -1, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/20080 and 81\/20?\nAnswer: 20080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 2 + 2)*(18*i + 18*i - 44*i)*(2 - 4 + 1).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150731*g**3 - 47865*g**2?\nAnswer: 904386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4 - 19749*a**3 + 137382*a**2 + 4693944*a + 8680320 = 0.\nAnswer: -11, -2, 20, 6576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321 (base 4) in base 3?\nAnswer: 20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1718412 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7676236.\nAnswer: 2, 71, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -467, -2\/11, 41, 0.2.\nAnswer: -467, -2\/11, 0.2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 115565 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52550 + -10?\nAnswer: -52560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 3123442?\nAnswer: 3123441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(275) - -2*sqrt(275)*1)*-4 + -1 + (sqrt(275) - (4*sqrt(275) + sqrt(275))*-6) + 5)**2.\nAnswer: 760*sqrt(11) + 99286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15698316 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtbttbbgtbtqqmmb. Give prob of picking 2 b and 1 t.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s + 12. Let c be n(-9). Suppose 4*h = h + c. Let f(q) = 1 + q**2 + 2 - h*q + 3*q + 2. Calculate f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*q + 18*q - 52*q + 327*q**3)*(-3*q - q + 6*q) to v*q**3 + o + a*q**2 + s*q**4 + d*q and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1131 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -y. Solve 4*t + 4 = 4*m, y*m - 3*m = 3*t + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-70)*0\/(-3). Put 5, 8, q, -4 in decreasing order.\nAnswer: 8, 5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -2*k - 14, 2*i + 0*i + 37*k - 17 = 16*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-20 - (-9 + -1) - -1) + 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t - 73*t = -18 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.52+-1897104.53\nAnswer: -1897105.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24796*-2.8.\nAnswer: -69428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -1745124203?\nAnswer: -1745124206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 1. Let b = 3 + -2. Let m = 2.2 + -2. What is the nearest to b in m, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/120 - b**5\/48 - 7*b**4\/96 + b**3\/12 - 11*b**2. Solve s(o) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**6 + 173*x - 44*x**2 - 173*x wrt x.\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21987777 is divided by 200?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656 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: Calculate the greatest common divisor of 59781357 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from laanpnnpnlnlaln.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.624 - 25.176. Let r = h + 26.2. What is the fourth smallest value in r, 4, -2\/35, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-23 - -14)) + -4 + (-3 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f\/(f*f\/(f**(-3)\/f*f)))\/f))\/f**0)\/(f**(-2\/21)*f*f**(3\/2)))\/(f**(-1)*(f*f*f**2)\/f*f**7\/f*f**5) assuming f is positive.\nAnswer: f**(-395\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:59 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 205447\/12 + -17131. Find the common denominator of f and 43\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4*n**3 + n**3 + 1 + 10*n**3 - n**2 - 14*n**3 + 14*n + 3*n**4 in the form u*n**3 + h*n**2 + v + s*n + q*n**4 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 31 = -25. Let i(s) = 4*s + 17. Let t be i(j). Round t to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5181 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 297485*t**2 - 1859131*t + 446190.\nAnswer: -(t - 74365)*(t - 6)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 7*o + 31. What is the units digit of i(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6*6\/9)\/(-1 - -2). Solve i*y + 7 = -1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 22. Let u(q) = 2*q**2 + 4*q - 12. Let s(x) = x**2 + x - 3. Let w(c) = -3*s(c) + u(c). Determine w(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 8*p - 8 - 38 = 26, 40*v = 43*v - p - 23 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*7\/56*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*o + 16, -3*o - a + 13 = -0*a. Suppose 2*d - 11 = 13*d. Sort d, o, 8 in increasing order.\nAnswer: d, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)*u*u*u**0*u**(-9)\/(u*u\/(u\/u**(4\/3))*u) assuming u is positive.\nAnswer: u**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14920 (base 10) in base 14?\nAnswer: 561a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -845430 divided by -10?\nAnswer: 84543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose -l - 5 = 4*l. What is the smallest common multiple of -1*21*l + 1 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83003, -166044, -249085?\nAnswer: -332126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476 bigger than 8477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146005 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 11*m**2 + 13*m - 17. Let w be u(12). Sort 5, -14, w.\nAnswer: -14, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/4)\/16*2\/284*328\/(-41)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -498, 2, 55 in ascending order.\nAnswer: -498, 2, 11, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/(2\/(-22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -27?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/59010 and 29\/92730.\nAnswer: 649110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccw when three letters picked without replacement from ecw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2. Let r(j) = 12*j + 3. Determine r(l(y)).\nAnswer: 12*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -24. Let z(v) = -6*v. Let l(i) = 6*i - 1. Let a(m) = 2*l(m) + 3*z(m). List the prime factors of a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 547716 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -6) + (-1)\/(-1). Suppose -23*l = -19*l - 8. Suppose 0 = -u + 5, x*o - l*u = o + 5. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 2)*-6 + 3)**2 - -5*(sqrt(275) + -1).\nAnswer: 133*sqrt(11) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -153*f + 6. Let r(m) = -1074*m + 38. Determine -27*i(b) + 4*r(b).\nAnswer: -165*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2818.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8599, -8630, -8717, -8890, -9179, -9614, -10225?\n\"Answer: -5*n**3 + 2*n**2 - 2*n - 8594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 + 222\/(-42). Which is the closest to -1\/2? (a) o (b) -2\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - -9. Suppose -114*u + b*u = 16886. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235291 is divided by 2335?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215*c*y**3 + 5*c*y**2 - 366*c + 513*y**3 - 138*y - 2 wrt c.\nAnswer: -215*y**3 + 5*y**2 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 23*h + 14. Let a be c(11). What is the nearest to a in 0.4, -2\/3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 174, 344, 512, 678, 842, 1004, 1164?\n\"Answer: -k**2 + 173*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 8*r**2 - 8*r - 10. Let s be k(-7). Let l be 2\/(-2) - -4 - s. Solve -5*m = 5*g - 25, -l*g = 5*m - 2*g - 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 68*z**2 - 8*z + 15. Let s be o(14). Let k = s - 21081. What is k rounded to the nearest 100?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 + (-2)\/(-6). Suppose -p - 3*p = 0. Is p > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*q + 15 = -y, -y + q = 0. Suppose 0 = -3*m + m - 6. Sort m, y, -2 in decreasing order.\nAnswer: y, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92273\/20 - -15877\/4. Let n = z + 650. What is the common denominator of -32\/9 and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 15*n - 153. Calculate the remainder when 26 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -82, -245, -480, -793, -1190, -1677?\nAnswer: -2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 32*d + 52*d - 30*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4358.259ml?\nAnswer: 4.358259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.591821 centuries?\nAnswer: 4310.1852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1456653*d - 915589 wrt d?\nAnswer: 1456653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12921\/112 or -116?\nAnswer: -12921\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:34 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*m**2 - 27*m - 25*m + 50*m + (2 - 2 + 2*m)*(-2 + 2 + 4*m).\nAnswer: 10*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -66*m + 69*m - 21, 0 = -3*j + 5*m - 34 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185806 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 2, v: 2, p: 4}. Give prob of picking 2 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) -2 (c) -101\/133 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12836*k**3 + 282 - 25597*k**3 + 12759*k**3.\nAnswer: -2*k**3 + 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from {r: 2, d: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:59 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737490207 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*b**2 - 56*b**2 - 180 + 80*b**2 - 246*b**3 wrt b?\nAnswer: -738*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-7 + 4 + 2)*(3 - 2 - 2)*(-2 + 2 - 4*t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21ac1 + -2?\nAnswer: 21abe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 260\/80 - 2\/(-8). Sort -5, 2, -63, t.\nAnswer: -63, -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:19 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47474, -94945, -142416, -189887?\nAnswer: -237358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3 + 24. Let d(p) = -x*p + 9*p + p**2 - 3*p**2 + 2. Let l be d(2). Which is the nearest to -3? (a) -0.4 (b) l (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254982876401 + -144.\nAnswer: 254982876257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times -5.463?\nAnswer: -1.42038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.796 - 0.204. Let b = 6 - 13\/2. Let t = -87 - -259\/3. Put n, 1\/5, t, b in descending order.\nAnswer: 1\/5, b, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -98?\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*h + 28*h + 12. Calculate the remainder when 42\/9 + 1 + h\/9 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4 = 1. Let k be 2*((-4748)\/(-720) - y). Let q = 134\/9 - k. What is the common denominator of -22 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12766 + 68.95734. Let w = a + -70. What is w rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s**2 + 4*s - 12. Let q(d) = -d**3 - d**2 + 3*d - 11. Let w(r) = -5*q(r) + 4*x(r). Let v = -3 + 3. Is 4 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 e, and 1 s when four letters picked without replacement from ffefsfzelsesfts?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 1\/2*q + 7 - 1\/16*q**4 + 1\/4*q**3 - 1\/20*q**5 + 5\/8*q**2. Determine u so that g(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7))**(-35\/6) assuming z is positive.\nAnswer: z**(245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347221035?\nAnswer: 3, 5, 7, 223, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -373 at most 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-four fifths of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = h + 90, -z + 72 = -2*h - 72. Let s = h + 71. Solve -l = s + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865836 times -23?\nAnswer: -19914228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let q = 7 - 7. Let w be b(q). Suppose w = -y + 178 + 19. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*z - 36 = 0, -3*f + 3*z = -f + 1. Let l be ((-28)\/(-7))\/(-2)*(-1)\/f. Which is the closest to 2\/9? (a) -0.4 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -204243 + 11?\nAnswer: -204232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/15 + -4\/15. Which is the nearest to 2\/3? (a) z (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1112012?\nAnswer: 1112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4152)\/10)\/3 + -1. Let n = j + 139. Suppose 7 + 0 = -3*g + 4*k, 16 = 4*k. Which is the nearest to n? (a) -3\/5 (b) g (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594887467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 30*l - 175. Determine v(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25626 (base 8) in base 12?\nAnswer: -655a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = 24*y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -26 + 11. Let x(c) = -6 + c**2 + 5*c + b - 4*c - 3. Calculate x(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1475*r**3 + 283*r**2 wrt r.\nAnswer: 8850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/8)*o)\/o)\/(o*o\/(o\/o**(-5\/2)*o))*o**(2\/9)\/(o\/(o\/(o*o**(-5)\/o))) assuming o is positive.\nAnswer: o**(565\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170 by 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, 3\/11, -7, 28, 12.\nAnswer: -7, 3\/11, 0.38, 12, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-674)\/26623 - (3480\/2528)\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 5*k**7\/42 - 3*k**5\/10 - k**4\/12 - 2*k - 18. What is the third derivative of b(t) wrt t?\nAnswer: 300*t**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -1. Let s = y - -39. Calculate the remainder when s is divided by 15\/1 + (-2 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/4 + 5*k**3\/3 + 5*k**2\/2 - 5*k - 1. Let q be (6\/4)\/((-18)\/(-48)). Is u(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -46\nAnswer: 60\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + 0.4. Let g = -1.203 + m. Let v = 0.079 - g. Round v to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 - -273. Suppose 0 = -4*l + 12, 0*l + 272 = 4*t - 4*l. Let o = v - t. Solve 0 = -3*w + o - 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*g + 13, -2*q - 17 = 4*g - 5*q. Let t be 6\/g + 3 + 12. Suppose -b - 2*h + 36 = b, 0 = -3*h + t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. Suppose z = 5*y - b, -4*y + 2*b = -3*y - 10. Suppose y = 4*j + j - 130. Solve 0 = 4*k + 2*x - j, -2*k + 30 = 3*k + 2*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11924 and 187680508.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-629*n**2 - 520*n**2 + 225*n**2 - 853*n**2)*(2*n - 2 + 2).\nAnswer: -3554*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 1. Let x be b(-3). Suppose -4*z = t - 504, x*z = -2*t - 3*t + 252. What is the tens digit of (z\/12)\/((-2)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:11 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -28233*b + 28252*b. Solve -b*k = -48 + 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -60, 170\/109, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351098517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/23, 1\/2, -723?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 231. Let i(v) = 769*v**2. Determine n(i(q)).\nAnswer: -3076*q**2 - 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 0*f - 7*f + 6*f. Let p be 4 + (-2 - 3 - -3). Let m(h) = 23*h**2 - 26*h**2 + 51*h**p. Determine m(b(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 b when three letters picked without replacement from rmnmrrmbobrbknb.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -28*i**5 + 5036*i**4 + 22868*i**3 - 281596*i**2 + 216920*i + 36800 = 0.\nAnswer: -10, -1\/7, 1, 5, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 61 + 61 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -114*o - 3. Let z be q(-1). What is the greatest common divisor of z and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3 - 9 + 19*t - 15*t**2 - 79*t - 15*t. Factor z(m).\nAnswer: -3*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*i = -6, 4*v + 6 = v - 5*i. Suppose 0 = -3*d + v*p + 9, -3*p - 7 = 4*d - 6*d. Solve 0 = -d*c + 5 - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260686?\nAnswer: 2, 130343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**2 - 3*j + 10. Let t(d) = -9*d**2 - 2*d + 7. Give -5*f(p) + 7*t(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 115*i - 1377. Determine p(15).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*n - 5*f, -65*n + 4 = -69*n - 2*f. Solve n = 4*p + 44*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2717 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2 + 5*a - 2*a + 4. Let g = -8 + 23. Suppose -3*d - g = -3. Determine n(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/4 or -65?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -42*v + 6. Let g(q) = 42*q - 5. What is 6*g(h) + 5*z(h)?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/30)\/((-2)\/137)*-3. Let v = s + 109\/5. Calculate the common denominator of v and 45\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8044 - 8044.00034738. What is o rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-1\/9)\/h))\/h*h)**(-3\/29))**(-13\/2) assuming h is positive.\nAnswer: h**(247\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -31*d - 6. Calculate the lowest common multiple of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*3\/(320 - -1). Let k be (-4012)\/(-17120) - (6 + (-102)\/16). Let w = y + k. Is w >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 16*j**3 + 1. Let t(c) be the first derivative of c**3\/3 + 157. What is t(w(a))?\nAnswer: 2304*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -42*b**2 + 39*b - 340. Calculate o(6).\nAnswer: -1618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(112) - (sqrt(77) + -2*sqrt(77))\/sqrt(11).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*i + 40, 25*u - 5*i - 30 = 26*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 38. Suppose -2*q = 3*t - 0*q - h, 0 = -t + 3*q - 12. Let o be 17 - (t + (-2 - -3)). What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 26 - 346 = -2*r, 3*r = 3*y + 468. Let q be r\/36 + (-16)\/4. Which is the second smallest value? (a) q (b) -9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2 - 5997*f + 2 + 5. Let t be m(-3). What is t rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 6:20 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 5*r**4 + 18 - 9)*(-6 + 1 + 3) - 3*r**4 - 241 + 241 as d*r + b*r**4 + c + m*r**2 + g*r**3 and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/216 and 68\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13 - 42*j**2 + 77*j - 77 + j**3 - 31*j + j. Let w be l(41). Which is smaller: 183 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 + 1.7. What is the nearest to 3 in 0.1, m, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + 1253000?\nAnswer: 1253014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:13 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/1685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 176, 30 in ascending order.\nAnswer: 3, 30, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 279 + 1239. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 232164.2 millennia?\nAnswer: 232164200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1760543 and 68203?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)*n)\/n*n*n\/(n\/(n**6*n)*n))**41 assuming n is positive.\nAnswer: n**(1353\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*r**2 + 69*r**2 - 359*r**2 + 87*r**2 + 88*r**2.\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 6, 5, 2, 0.01129.\nAnswer: -25, 0.01129, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*v**3\/11 + 54504*v**2\/11 + 326664*v\/11 = 0. What is v?\nAnswer: -27222\/5, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 8:16 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5041913l?\nAnswer: 504.1913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (-1 + 310\/77). Which is the biggest value? (a) 1 (b) k (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 10*i**3\/13 + 154*i**2\/13 + 560*i\/13 + 200\/13 = 0.\nAnswer: -10, -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47450131 - -27\nAnswer: 47450158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 9\/(-3) + -2. Sort 5, 1, c in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11217 + -7097. Suppose -5*f - 2*i = -f - 4102, 4*f - v = 4*i. List the prime factors of f.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/(-216)*-1*(-32)\/200.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426842077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 2, e: 1, v: 1}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 257692, 257640, 257588, 257536?\n\"Answer: -52*b + 257744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 6*z + 2. Let u be t(6). Suppose -3*x + o = 2*x + 34, -4*o = u*x - 4. Let w = 8 + x. Solve w*r - 3 - 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let n(d) be the third derivative of -d**7\/2520 + 2*d**5\/15 + 6*d**2. Let k(y) be the third derivative of n(y). What is k(i(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -19, 5, -27, 1\/12, -22 in ascending order.\nAnswer: -27, -22, -19, 1\/12, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 225*s**2 - 1569*s + 2. What is t(7)?\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11365?\nAnswer: 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 8*w**7\/21 + w**5\/10 + w**3\/6 - 123*w**2\/2 - w + 10. Find the second derivative of p(v) wrt v.\nAnswer: 320*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-43)\/(r\/((r**(-41)*r)\/r))*r**(-9)\/(r\/r**11) assuming r is positive.\nAnswer: r**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*y + 30650 = 0, 2*y + 40339 + 20941 = 4*o. Is 134 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 + -1392\/13. Let o = 471.8 - 472. What is the biggest value in g, o, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 531 and -2 + 6 + (-11)\/((-110)\/50).\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1405 * -0.3\nAnswer: 421.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 53 + (-18 - (-21 - -42)) + (10 - -2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-538)\/1320*1. Let p = -1\/12 - f. Let t = -14\/15 + -2\/5. Put p, t, 6 in descending order.\nAnswer: 6, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 17*i + 27. What is k(6)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/120 + z**3\/6 - 4*z**2. Let c(x) be the first derivative of h(x). Let n(i) = 4*i + 2*i - 3*i. Give c(n(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72071743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -3736, -6, -90 in descending order.\nAnswer: 0, -1, -6, -90, -3736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1920881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 639588 less than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2004 + -1?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -59*p + 2. Let g be m(-2). Suppose 0 = -2*v - v - g. Let j be (-198)\/4*v\/3. What is j rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-180)\/(-6))\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 231, 346, 461, 576?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5128653 and -8926.\nAnswer: -8925.4871347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000090443 to 7 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 4*p - 60 = 0. What is the hundreds digit of 1\/((p\/(-2694))\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1300) - (1 + sqrt(1300)*-1)) - (5 + (sqrt(1300) + -2)*-2))**2.\nAnswer: 280*sqrt(13) + 5249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/320 and 6\/(-400)*60990\/3420.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7853, 15627, 23305, 30887, 38373, 45763, 53057?\n\"Answer: -48*x**2 + 7918*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17191583 is divided by 5730507.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 10 = 5*x, 3*x - 4*h = 2*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.4 * 4.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259476 and 8652.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 12937607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a**2 - 132106*a + 132106. Give r(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-184)\/2024)\/((30\/(-11))\/(-5)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -22 + 7 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 bigger than -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 34 - 22. Solve d - x = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = 2*p. Calculate the common denominator of (-364)\/(-84)*-3 - 83\/(-9) and 59\/5*(-5)\/p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24001868843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3224 + 1051?\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6925 and 2525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11668?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*y**2 + 3*y - 3*y + 0*y.\nAnswer: 141*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -631, -1041, -1451?\n\"Answer: -410*s - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 864.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*920\/20 + 0\/(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3 and -161\/1530.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a + 4*a + 5*g - 18, 2*g = a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a**2 + 44*a**3 + 97 - a - 2*a**4 - 104 - 43*a**3 to c*a + f*a**2 + w*a**4 + t*a**3 + s and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1495 + 1495 - 2*n. Let v(b) = 2*b - 31. Determine w(v(x)).\nAnswer: -4*x + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(5\/3) - 1. Suppose s - i = 2. Let c = -3397 + 3402. Solve -s*w = c + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.9. What is the nearest to 1 in -3\/4, -2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 21*v - 128 = 0. Calculate the remainder when 30 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6c8c30 (base 13) to base 8\nAnswer: -11702665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3237620 - 13?\nAnswer: 3237609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064874543 to the power of 1\/2, to the nearest integer?\nAnswer: 32632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2116*l**3 + 13708*l**2 - 7584*l + 1008.\nAnswer: 4*(l + 7)*(23*l - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 + 3*n + 3. Let i(o) = o**2 - o - 1. Let l(k) = 3*i(k) - s(k). Let g be l(-3). Is 22 a factor of ((-4)\/(g\/(-165)))\/((-1)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 1820388.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-13)*k)\/(k**17*k)*(k**(-29))**16 assuming k is positive.\nAnswer: k**(-493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2038728017*y**2 - 1 - 2038728313*y**2.\nAnswer: -296*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24 and 37\/340956?\nAnswer: 681912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2073 = 4*b, 5*b + 2119 = -4*w - 488. Does 3 divide (-1)\/(b\/(-87) + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -26 + 46 + -16 + -1 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138.31 + -139. Let t = -0.69164 - f. Round t to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118.2094316 + 0.036899.\nAnswer: 118.2463306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1))\/((-1)\/3). Let k(z) = z - 2 + 3*z**a + 3 - 4*z**3 - 10*z**2. Is k(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -814.84 rounded to the nearest ten?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2376, 2479, 2582?\n\"Answer: 103*a + 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 332783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*a - 198*a + 11 + 16 - a**3 - 203*a - 27.\nAnswer: -a**3 - 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2050 + 2082.61. What is t rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 - 5*m**3 - 4*m**5 + 6*m**3 + (-m**2 + m**4 + m**2)*(0*m - 4*m + 6*m) + 4*m**2 - 4*m**2 + m**5.\nAnswer: 4*m**5 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.54 and 388.45?\nAnswer: 598.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*o - 25758 - 462. Suppose -4*q = -o - 632. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from fpffpfcpfpffcggpff?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1934?\nAnswer: 11604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721*a + 4427 - 30314 = 10884 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 67, 47 in descending order.\nAnswer: 67, 47, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209393417 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11730 - 11729.970977. What is i rounded to 4 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 49. Let i = 3 - 4. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 2163 = -322 - 1113 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4970 and -64\/3325.\nAnswer: 472150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 + 4. Let q be j(4). Suppose 84 = z + x, -z + 384 = 4*z - q*x. List the prime factors of 5024\/z - (-2 + 1)\/5.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-25)\/15)\/((-35)\/192612)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9 + -0.9. Let y = -6821\/2 + 3411. Put 4, -1\/6, y, w in increasing order.\nAnswer: -1\/6, y, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -3 (c) -2 (d) 4\/3 (e) -0.5 (f) 0.06 (g) -10\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is (44\/18 - 12\/(-54)) + (-5957)\/111?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88 + -375026?\nAnswer: -374938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542032222?\nAnswer: 2, 8059, 33629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = 0, 0*r - r - 4*d = -38. Suppose -13 = -3*b + r. What is the remainder when 21 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:12 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128\/2993 - -4\/41. Put -2\/3, t, -1, 4 in decreasing order.\nAnswer: 4, t, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-14))\/((-94)\/(-329)). Suppose 2*c - 67182 = -b*z + 6*c, -4*c = 2*z - 67182. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/13 + 25 + (-6550)\/325. Let j(a) be the second derivative of -7*a - 1\/70*a**y + 2\/21*a**3 + 0 + 1\/42*a**4 + 0*a**2. Solve j(h) = 0 for h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 512412, 512195, 511978, 511761, 511544?\n\"Answer: -217*k + 512629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -60.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 3*g + 29 = -2*x, 25 = 4*x + 3*g. Solve -12*d**x + 3*d**5 + 7*d**2 + d**5 + 5*d**2 - 8*d + 4*d**3 = 0 for d.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 - 12\/(-3). Let h(s) = -56*s**2 + 57*s**y + s + 5*s - 19. Calculate the least common multiple of h(4) and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 42, 2\/17, 2 in descending order.\nAnswer: 42, 5, 2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52\/3 + -53\/3. Let f = 94 - 87.7. Let l = f + -6. Put y, l, 0 in increasing order.\nAnswer: y, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**5 - 5*g**4 - 220*g**3 - 44*g + 337 wrt g?\nAnswer: 20*g**3 - 60*g**2 - 1320*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 8. Let s(q) = 3*q + 7. Let j(t) = -3*s(t) - 2*y(t). Let i be j(-7). Solve i = 2*x + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1885 and 790 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 99*p - 95*p. Which is bigger: 24 or p?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(2299)))**2 - (sqrt(76) + 0 + sqrt(19) - (4 + sqrt(57)\/sqrt(3))).\nAnswer: 1582*sqrt(19) + 82912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o**3 + 5\/24*o**4 + 0*o**5 + 0 - 3\/40*o**6 + 0*o - o**2. Find the second derivative of l(m) wrt m.\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/(-3) - -4)\/((-25)\/75). Which is the nearest to i? (a) 1 (b) -3 (c) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/((c*(c**6*c)\/c*c)\/c*c))\/c)\/(c**(-2\/3)*c))\/(((c**(-1)\/c)\/c)\/(c**(2\/13)\/c)) assuming c is positive.\nAnswer: c**(-202\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70185.\nAnswer: 3, 5, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.5, -0.2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**3*x**3 + 18*s**3*x**2 - 28*s**2*x**3 - x**3 wrt s.\nAnswer: 12*x**3 + 108*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 73956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -1\/3, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**7*u))\/u*u)\/u**12 assuming u is positive.\nAnswer: u**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4 + 0 + j - 4. Let n(r) = -r + 5*r - 3*r. What is b(n(l))?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1639?\nAnswer: -3278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x + 3*x + 4*x. Let r(j) = 32*j + 4. Let c(h) = 24*o(h) - r(h). Let z(l) = -7*l - 3. Calculate 4*c(q) - 5*z(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9439 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (-1 - (-48)\/36))\/(40\/(-144))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 25.2. Let q = 0.1 - f. Which is the third biggest value? (a) q (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 825c8 (base 13) to base 5\nAnswer: 24441031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1593 - -3827. List the prime factors of c.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1273 * -0.06\nAnswer: 76.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 7*n**4\/12 - 2*n**3\/3 - 3*n. What is the second derivative of x(b) wrt b?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 6*y - 21. Let w be d(12). Let r be (w\/2)\/(18\/24000). What is r rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Suppose -2*k - 6 = 4*h - 7*h, 0 = 3*h - 12. Let u(n) = -10 + k + 29*n - 23*n. Calculate y(u(t)).\nAnswer: 36*t**2 - 84*t + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 2. Let y(s) = -15*s - 11. Suppose c + 0*c - 4*d = -22, 0 = 5*d - 25. Calculate c*y(n) + 11*o(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(48) - 6*sqrt(192)) + sqrt(48) - sqrt(48))\/(-1*sqrt(12)*-4))\/(sqrt(8)\/(sqrt(12)\/sqrt(3))*-5*1))**2.\nAnswer: 121\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 4) to base 7\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m + 435. Determine h(65).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {o: 5, g: 3, j: 1, l: 5, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0*x + s - 480003, 3*x = -4*s - 287988. What is x rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5684306.\nAnswer: 2, 19, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 640 is divided by 191?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*x - 28*x + 39*x + 47*x)*(18*x**4 + 14*x**4 + 0*x**4).\nAnswer: 4416*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -385.35 times 0.4?\nAnswer: -154.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 + 15*x**2 - 108*x - 20*x**3 + 17*x**3 in the form s*x**3 + z*x**2 + n + q*x and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4833)\/895)\/(15\/25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by -7840.\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - -9. Which is the second biggest value? (a) k (b) 5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 14) in base 2?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 3\/2, -23, -20?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1076, -0.2, -6?\nAnswer: -1076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*j - 39*j - 43492. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50716*x**3 - 101376*x**3 + 50663*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3610908039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20379 = 708*n + 36261 for n.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378076 is divided by 433?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(2\/7)*(r**(2\/7))**37)\/((r**4*r)**(-12))**(-39) assuming r is positive.\nAnswer: r**(-114138\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4830)\/92*(-16)\/5. Solve 99*y + w = 120*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386539 is divided by 109?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-8))\/c**(-10)*(c*c**(4\/5)\/c)\/(c*c**(2\/11)*c) assuming c is positive.\nAnswer: c**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 4. Let n(l) = l - 1. Let f(j) = -d(j) + 2*n(j). Let i = -3 + 7. Suppose p = -4*p + 3*s + 3, i*s + 4 = -2*p. Calculate f(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttetetett. What is prob of picking 1 e and 1 t?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, i: 6, l: 4, r: 6}. Give prob of picking 2 l and 1 i.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4468099151 to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1379, -1286, -1133, -926, -671?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 76, 89, 100, 109?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2677 + 5125. What is the remainder when (-2)\/(-11) + x\/88 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.893115ml in litres?\nAnswer: 0.008893115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 735 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 129686154.4 rounded to the nearest one thousand?\nAnswer: 129686000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14441?\nAnswer: 7, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 17 = 2*s - 5*s, 3*s + 4*r = 25. Suppose 258 = -74*n + 117*n. What is the third smallest value in n, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 129, 171, 227, 297, 381?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 877 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 134*d**2 + 536*d + 536. Let a(f) = -2*f - 2. Let y(q) = 268*a(q) + c(q). Let h(g) = -2*g**2. What is h(y(u))?\nAnswer: -35912*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:36 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + 4*2*sqrt(171)*4)*-2*3)**2.\nAnswer: 100859904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 47*i - 504. Determine x(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 51. Solve w - 12 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 2\/7, 3699, -4\/13, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/5 + (-76)\/(-10). Let m(d) = -109*d**3 + 57*d**3 + f*d**2 + 5*d + 53*d**3 - 23. Calculate the remainder when 54 is divided by m(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 + 2. Calculate p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 262104060 rounded to the nearest 100000?\nAnswer: 262100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(343) + 0)*-1 + sqrt(343) - ((sqrt(343) - (2 + sqrt(343))) + 1)) + 2)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 9 + 89962*a**3 - 90127*a**3.\nAnswer: -165*a**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -162326 (base 8) in base 11?\nAnswer: -40017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 920*h**2 + 7 - 66 + 59 to the form k*h**2 + t*h + l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492687.5 years to centuries.\nAnswer: 4926.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 - 6*j - 3. Let m(w) = -9*w**2 - 12*w - 7. Let c(f) = 4*m(f) - 7*n(f). What is c(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j - 7*j - 20*j)*(-10*j - j + 2*j).\nAnswer: 324*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by ((-6 - -2) + 2)*(-81 + 74).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -27*f**3 - 13*f**2 - 16*f - 349. Let l(m) = 14*m**3 + 6*m**2 + 7*m + 175. Let j(x) = -13*l(x) - 6*o(x). Differentiate j(z) with respect to z.\nAnswer: -60*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**5 + 3995*b**4 - 807930*b**3 + 3968030*b**2 - 5528225*b + 2364135 = 0. Calculate b.\nAnswer: 1, 3, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j = 3*z - 48*j - 262, 0 = -5*z - 5*j + 420. Is 91 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:23 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-492)\/82)\/(135\/(-6))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 49, 118, 237, 418, 673?\n\"Answer: 2*w**3 + 7*w**2 - 4*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wweeewee. What is prob of sequence wwwe?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 5:27 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74770048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -4.3, -107.6706?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:16 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -650 + 4983. Suppose d - 2 = 0, -3*d + v = 4*n + 29. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.105, -2, -15, 14, 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3363 - 1063. Suppose -2*w + 184 = -2*g, 0 = -2*w + 7*w + 5*g - x. What is the remainder when w is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24638\/5 + 4928. Let k = -1256\/7 + 180. What is the nearest to i in 3, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 1, -12?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-24))\/(6\/(-16))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7667 or 1257291\/164?\nAnswer: 7667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 328 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24216, 48437, 72660, 96885, 121112?\nAnswer: 145341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/13 + 28*j**2\/13 + 50*j\/13 + 24\/13.\nAnswer: 2*(j + 1)**2*(j + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.7029748 minus 4.27?\nAnswer: 71.4329748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 12*m - 3. What is the remainder when 95 is divided by i(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1\/(-4))\/((-92)\/(-1656)). Suppose -3*d + j = -8, j = -4 - 1. Calculate the highest common factor of d and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*1)\/(97*113\/10961)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -937.76 + 939.55988. Let m = 1.8 - p. What is m rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 20*k**2 - 19*k + 9. Let q be f(9). Suppose 22*a - 26*a + 20 = q. What is the remainder when a is divided by (-2)\/8 + 10\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/11 and -11\/716.\nAnswer: 7876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -15. Suppose -6*c + 2*c - 12 = 0. Let p be (c\/(-1))\/(a\/(-6)). Which is bigger: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + f**3 + (-2*f**3 + f**3 - f**3)*(-2 + 1 + 2) + (2*f + 0*f - f)*(2*f - 2*f + 2*f**2).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 30316 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1828*k - 2446. Let p(d) = -2*d**2. Give i(p(s)).\nAnswer: 3656*s**2 - 2446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145\/3 - -48. Suppose 14*r + 166 = -282. Let m be (r\/24)\/(8\/(-6)). Sort -3, m, u in increasing order.\nAnswer: -3, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1363, 31, -5, -0.4, -3 in increasing order.\nAnswer: -1363, -5, -3, -0.4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2329\/8 + -291. Let q be (-11)\/14 - (-2)\/7. Which is the nearest to 1? (a) s (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**6\/24 + 51*u**5\/4 - 125*u**4 + 1490*u**3\/3 - 1364*u**2. Determine x so that g(x) = 0.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = 21*l - 66*l. Suppose 51*j = l*j. Factor j*v - 1\/4 + 1\/4*v**2.\nAnswer: (v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -889, -64, 5 in descending order.\nAnswer: 5, -64, -889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1035, 2127, 3221, 4317, 5415, 6515, 7617?\n\"Answer: j**2 + 1089*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 0.32, 7, -6?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x*(x*x**(-17)*x)\/x)*x**(3\/5) assuming x is positive.\nAnswer: x**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23c45 + 20?\nAnswer: -23c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5967.8 * -5.\nAnswer: -29839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2*u**2 + 0*u**2 + (0 - 3 + 4)*(-u**2 + 2*u**2 - 3*u**2) + 0*u - 2*u**2 + 0*u + 0*u**2 + 0*u**2 - 2*u**2 + u**2 - 5*u**2 + 0*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 + -30 + 97 + (-17 - -5).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/24 - m**3 + 306*m**2 + 2*m + 8. Let v(k) = 5*k + 31. What is 4*v(b) + 22*w(b)?\nAnswer: -2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + m - 4*m)*(-1 - 5 + 4) - m - m + 3*m + (-105 - 86 - 24)*(0*m - 3*m + m) as z + u*m and give u.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136)*-1*4 + 1*(sqrt(136)*-3 + sqrt(136)))\/(-6*(sqrt(648) - -2*sqrt(648)) + -4*sqrt(648)*-1).\nAnswer: 5*sqrt(17)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -131113068 less than or equal to -131113067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:21 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 10\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 4*i**2 - 4. Let b be d(-4). Let u(q) = q**3 - 4*q**2 - 4. Let w be (-1 + 0)*(-73 + 70). Let h(j) = j**3 - 3*j**2 - 3. What is b*h(l) + w*u(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -284 - -467. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 8) to base 6\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 77, 118, 159, 200?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b. Let m = -11 + 12. Suppose 0 = 2*k - 5 + m. Let u(d) = 11*d**k - 58*d + 58*d + 0*d**2. Give y(u(l)).\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 1001020 (base 3) in base 10?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6231.5455 + 452.65?\nAnswer: 6684.1955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z. Let j(y) be the third derivative of -y**7\/5040 - y**5\/12 - 8*y**2. Let b(a) be the third derivative of j(a). What is b(p(d))?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, 6, -0.2, -32\/3, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 15 = 0, r + 2*i = -0*i - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*x + 636*x + 177 = -57 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7036440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/(v\/v**(1\/12)))\/(v\/v**(-4)*v*v\/(v*v**(-1)\/v*v*v*v))*((v\/(v\/v**3))**(-17\/6))**(-1\/6) assuming v is positive.\nAnswer: v**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 431518.8 millennia in months?\nAnswer: 5178225600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9. Suppose -r*q + 0*q + 32 = 3*u, -5*u + 3*q = -5. Let x = 5 + -1. Calculate the greatest common divisor of x and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 2266?\nAnswer: -2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 54*g**2 - 100*g - 282. Calculate y(-56).\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + 13 + -6 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y - 67 = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1120 divided by -280\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2764.196um?\nAnswer: 2764196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 0.01. Let x = 0.15 + i. Sort x, 0.4, 4\/9.\nAnswer: x, 0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-15))\/(3\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -715501 - 5?\nAnswer: -715506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3160 - -45344?\nAnswer: 51534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1592898477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhnhhnhhnnhnhhhhhh. Give prob of picking 1 n and 1 h.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 6. Let i be y(9). Let a(u) = u**3 - u + i - u - u + 5*u**2 - 10. Calculate the remainder when a(-5) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48890265 by -3.\nAnswer: 16296755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*k - 7125 = -10*k, 4*k + 12872 = 9*z. Find the common denominator of 46\/42*(z\/72)\/17 and -91\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24302101 (base 5) to base 14\nAnswer: 5d345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 5:58 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-7)\/((-7)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m - 2*m)*(10*m**4 - 13*m**4 - 15*m**4) + 2*m**5 - 2*m**5 + m**5 + (-2 - m**2 + 2)*(-m**3 + 3*m**2 - 3*m**2).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(375)*3)\/(sqrt(405)*-5))**2 + 5.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6236707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -113*d + 9. Let y(t) = 1. Let u(b) = c(b) - 2*y(b). Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17136 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**3 + 6 + 9172*b - 3*b**3 + 3*b**2 - 9172*b as d*b**3 + q + s*b + m*b**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*n*r*v**2 + 50*n*r*v + n*v**2 - 262*n*v - n - v**2 wrt r.\nAnswer: -41*n*v**2 + 50*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-4*1 - sqrt(121)) + 3*(sqrt(121) - 2*sqrt(121)))\/((-1*sqrt(539) + sqrt(539))*5 + -4*(sqrt(539)*-2 - sqrt(539))).\nAnswer: -2*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - f = 3*m - 722, 5*m + 3*f = 1206. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (0 + -1)*-1. Let s(j) = -9*j**2 + 7*j - 49. Let b be s(4). Let x be 2 + ((-451)\/b - 5). Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Suppose -2*f + 0*f + 20 = 0. Suppose -f*q - 192 = -14*q. Calculate the highest common divisor of q and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (131 - 17)*(4\/18 - 168\/432)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1596 - 1584 = 0. Solve y = -4*l - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**7\/5040 - x**6\/240 - x**5\/48 - 2*x**4\/3 - x. Let i(u) be the third derivative of s(u). What is o in i(o) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1095 and 12921.\nAnswer: 64605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.724 + -0.076. Let g = n - -18. Which is the fourth biggest value? (a) -0.3 (b) -6 (c) g (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/15 - 4986274*s**2\/15 + 621573708704*s\/3 - 3107863557248\/15.\nAnswer: 2*(s - 1246568)**2*(s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 59, 149, 315, 581, 971, 1509, 2219?\nAnswer: 3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29658\/5 + -5932. Suppose 0 = -3*a + 2*a. Let u = a + 0. Are q and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -47*c. Let l(a) = -3113*a. Determine q(l(g)).\nAnswer: 146311*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -663*y - 71275 + 71275 to the form l + c*y and give c.\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7\/(b\/b**12)*(b**(-5))**(-44) assuming b is positive.\nAnswer: b**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -b9d (base 14) to base 15\nAnswer: -a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*f + 109766, v - 4*v - 4*f + 82327 = 0. Suppose 0 = -4*d + 9841 - v. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8752 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4979+-5\nAnswer: -5.4979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7004*f + 19758*f - 46698 = 1075654 for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -286 - -283. What is the closest to 10 in l, 2\/3, -0.1, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**3 + 3*c**2 + 5*c + 35. List the prime factors of s(6).\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*b = 5956, 5*b - 29730 = 4*p + p. Let u = 8326 + p. Is u\/20 + (-1)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -11. Let h = -6 + d. What is the lowest common multiple of 9 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -44537 and 2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 5*j + 736 + 2*j.\nAnswer: -j + 736","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50505 - -0.69.\nAnswer: 50505.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/7 (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -735328833*p**6 + 5049801*p**2 + 48.\nAnswer: -88239459960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/11 + 2780*q**3\/11 + 298878*q**2\/11 - 10815840*q\/11 + 85708800\/11 = 0. Calculate q.\nAnswer: -128, 15, 1488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -13)\/(-14)*(1 - 1). Suppose o = -5*c + 5*y + 2295, 5*y + 1375 = -0*c + 3*c. What is the greatest common factor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*w + 128 - 211 = 0, -w = 5. Is 34 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 1.769.\nAnswer: 10.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1981794 divided by -4\nAnswer: 990897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405779 is divided by 274?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/4 + p**3 + 7*p. What is n in y(n) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200333 (base 4) to base 2\nAnswer: -100000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*k - 15 - 17, 12 = 2*t + k. Solve 2*r = -12 + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 10\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*2\/12*-2. What is the closest to l in 0.5, -2, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3 - 33. Let a(h) = -h**3 + 2*h**2 + 4*h + 1. Let c be a(3). Let p = t + c. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/sqrt(63))\/sqrt(4) + sqrt(156)\/(1*sqrt(300) + sqrt(300) + sqrt(300)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21686\/3 or -7229?\nAnswer: -21686\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54.39 + 36.402. Let y = c + 18. What is y rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -718*g**2*i**3 - 2*g**2*i**2 + 11*g**2*i - g**2 - 896*g + 111*i**3 wrt g.\nAnswer: -1436*i**3 - 4*i**2 + 22*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1560489, -6241956, -14044401, -24967824?\n\"Answer: -1560489*x**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(2184\/63)*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*q**5\/11 + 1337670*q**4 + 334120425686*q**3\/11 - 185632813378*q**2\/11 - 132002149040*q\/11 - 16500177800\/11 = 0. What is q?\nAnswer: -45415, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7172, -3, -3\/5, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 88*q**2 - 4*q + 109. Is 184 a factor of v(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:15 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 584554261 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 29, 75, 123, 173, 225?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-5)\/1*(-132)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -15. Suppose l - f = 15. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 5*x + 16. Calculate the least common multiple of k(4) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13180 is divided by 300?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.205942 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -104983.466 to the nearest 10.\nAnswer: -104980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/2)\/(s\/(s**9\/s)*s) assuming s is positive.\nAnswer: s**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494970 is divided by 38041.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from pppppppppkpp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 95*h**3 - 519*h**2 - 1327*h - 712.\nAnswer: -(h - 89)*(h - 8)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((3 - (0 - -68) - 2) + (27 - 24)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 24. Suppose -4*j + 10 = j. Suppose -2*x - j*s + 34 = 3*x, -46 = -5*x + 2*s. Calculate the remainder when w is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -653, 19 in increasing order.\nAnswer: -653, -5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-2 + (-25 - (0 + -4) - 5)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and 21952.23.\nAnswer: 21963.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1682049.915s?\nAnswer: 2.7811671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y**2 - 15*y + 3. Suppose t + 1 - 7 = -5*t. Let j(n) = -n**2 + n. Calculate t*q(b) + 15*j(b).\nAnswer: -3*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/43459, 1\/2, -0.02, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 295 + 30\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1493 + 1655. Calculate the highest common factor of 126 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404.279us in milliseconds?\nAnswer: 2.404279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/((r*r\/r**4)\/r))**20*(r*r\/r**1)**(-19)\/(((r**(1\/5)\/r)\/r*r)\/r*r\/(r\/(r*r**(5\/4))*r)) assuming r is positive.\nAnswer: r**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84249 minus 0.3?\nAnswer: 0.54249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 0) + (4 - 4). Suppose q*t + 37 = 5*k, -26 + 9 = -k + 3*t. What is the second derivative of 2*w**k + 4*w + 0*w**5 - w wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 207*i - 223*i + 69. Solve -q - 1 = h, 5*h - 4 - 1 = i*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18992*t - 80. Let u(x) = -576654099*x - 2429056. Give 151816*o(g) - 5*u(g).\nAnswer: -18977*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -993707\/36 - -27605. What is the common denominator of 74\/171 and i?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6)*(-112)\/(-60))\/(((-176)\/16)\/(-220)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/2 + 4094\/(-230). Let i = -4 - -3. What is the nearest to 1 in n, i, -3\/98?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:35 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 2*d**2 - 6*d. Let u(x) = x - x**2 - 2*x**2 + 0*x**2 + 4*x**2. Let p(t) = -2*u(t) - v(t). What is the second derivative of p(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*s + s - 3*s)*(-2 + s + 2) + 7*s**2 - 3*s**2 - 2*s**2)*(-47*s**2 - 55*s**2 + 80*s**2).\nAnswer: -88*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-236.9881.\nAnswer: 473.9762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 2*g**3 - 47. Let l(c) = -2*c. Determine k(l(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*c - 96*u + 99*u - 268, -39 = 4*c + u for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4394*m**4 + 2237*m**2 wrt m.\nAnswer: -105456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1374 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2668118 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1431 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u. Let h(q) be the second derivative of 0 + 0*q**2 - 5\/2*q**3 + 11*q. What is h(p(v))?\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/84 + q**3\/21 + 4*q. Factor w(d).\nAnswer: d*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.6 - 1.6. Let u = n + -17. Let f = u - -6. Which is the biggest value? (a) f (b) 0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 0*s - 4*s + 3*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 54?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 35397*u**2 - 212463*u - 318735.\nAnswer: 3*(u - 11805)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1944 and 9828.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 5*r + 5. Calculate the remainder when 43 is divided by x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2 - f**2 - 1 - 6*f + 4. Let c be w(-6). Suppose 0 = c*y + 45 - 240. Calculate the remainder when y is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -2. Suppose -16 = -5*s - y*u, -3*s = -2*s - 4*u - 8. Is 5 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2078)\/7273*(-9)\/(-2)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 25 + -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3085430 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009792 rounded to seven decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -41. Let t(c) be the first derivative of 0*c**x - 2*c + 2 + 0*c**2 + 1\/2*c**4. Differentiate t(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -1. Let f = -12.1 + 12. Let x = f + n. What is the smallest value in -3, x, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37485 and 153765.\nAnswer: 7534485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*s*v**2 - 4*c*s + 3*c*v**5 + 37*s*v**6 + 25*s*v wrt v?\nAnswer: 180*c*v**2 + 4440*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 51*c**3 - 207*c**2 + 459*c + 1620.\nAnswer: 3*(c - 20)*(c - 3)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s - 34. List the prime factors of i(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36508036 rounded to the nearest one hundred thousand?\nAnswer: -36500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put together -1358209 and 0.55.\nAnswer: -1358208.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 23. Let r be j(16). Solve 0*z - z - r = 3*p, 3*p = 5*z - 37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48c7 - -2?\nAnswer: -48c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmozmomzzzbmmoz. Give prob of sequence bzb.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*n - 149, 0 = -10*a + 5*a + 3*n + 142. Let j(x) = 1 + 30*x**2 - 50*x**2 + 0 + a*x**2. Give j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 203\/(-330) + ((-128)\/(-40))\/(-8) and 40\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069926 rounded to 3 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 5 (c) -28\/15 (d) -1 (e) -5 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -24, 1\/7 in descending order.\nAnswer: 1\/7, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6048242034?\nAnswer: 2, 3, 263, 3832853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04903 + -2.94997. Let v = 3.07 + -0.07. Let p = h + v. Round p to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23590\/(-3370)*3*(-2)\/(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 + 6*f**2 - 12*f - 24.\nAnswer: 3*(f - 2)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 24*n**2 + 26*n + 164. Determine c(-24).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/((-1)\/(4\/6)*52\/5382*46)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -10. Suppose -2*w - 6 = -f*w, 2096 = 4*x + 2*w. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let p be w(7). Let b be p\/2 + -4 + 1. Solve g + b*g = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = 0. Suppose -2*o + 5*w = t, 0 = -3*o - 2*w - 3*w + 25. Determine i so that i**5 + 0*i**4 + 9*i**3 + 2*i**o + 3*i**2 + 9*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + 2*x + 129. Give f(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Let k = 5.7 + -284.7. Let z = 282 + k. Sort w, 1\/3, z.\nAnswer: w, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5228*h + 24529 + 17295 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1667232222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2 + 2*o + 10. Let c be t(0). Suppose 179 = -9*u + c*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4 - 647*a**2 - a - 14719.\nAnswer: -4*a**3 - 1294*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665 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 value of 1 + (38\/30)\/(276\/(-230))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 41864, -5, -1\/4, -2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 735901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2692 - 11.23\nAnswer: -2703.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -9*a**4\/4 - a**3 - 8*a. What is the second derivative of x(i) wrt i?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2142984*l*o + 210348*l wrt o.\nAnswer: -2142984*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 - -0.1511.\nAnswer: 253.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/((-152)\/12)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 + -0.3. Let m = 1610523.2999988 - 1610528.3. Let y = m - q. Round y to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15637525 * 6.\nAnswer: -93825150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/1944*1560*(-3)\/5.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2153 from 527.\nAnswer: 527.2153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 317*o + 2. Is k(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111 + 26062663?\nAnswer: 26062552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10184*t + 30578. Determine h(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.38 + -69.38. Let d = a - -68.1. Let j = -89\/116 + 1\/58. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4950 and 450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-3)\/(-2) + -1). Let o = 8 + t. Let z be (-10)\/(-4) - 1\/(-2). Solve 4 + 5 = z*m + 3*f, 0 = -5*m + 3*f + o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4\/8 - 1313769*h**3 - 9205274588589*h**2\/8 + 1313769*h + 1150659323574 = 0.\nAnswer: -1751692, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*z**2 - 25390*z + 9*z**2 + 1 + 25376*z + 0.\nAnswer: 9*z**2 - 14*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuouuuuouu. What is prob of picking 2 u?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 18 = f. Suppose f*i = i. Let w be (14\/2 + -1)*(-3)\/9. Put i, w, -7, 3 in decreasing order.\nAnswer: 3, i, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/63? (a) -38.9 (b) 2\/7 (c) 4 (d) -2\/113 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 226. Suppose -c*p = -113*p - 119. Calculate the remainder when 42 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064251 is divided by 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 2:40 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106 - -2) + 6867 + -6829?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*x = 0, 10*d - 60995*x = -60999*x - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001216941142 to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262 + 263. Let w(q) = 7*q**2 + 2 - 8 + 8*q + 6 - q**3 + z. Give w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271493.\nAnswer: 83, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*o**3 - 271401*o**2 - 109*o + 36022?\nAnswer: 204*o - 542802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*j + 12*j**5 + 3*j + 9*j wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -3 in descending order.\nAnswer: -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 + 8*i - 4. Let d be (-7 - -3)\/((-2)\/(-4)). Give a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 835 - 280. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337253.\nAnswer: 7, 48179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9020 + -1160.\nAnswer: -10180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 128\/51 in 0.2, 2\/5, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 1. Let i be 6*2\/8*(-1648)\/(-24). Let x = -111 + i. Determine r(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*t**4 + 6801*t**3 - 344*t**2 - 145*t?\nAnswer: 192*t + 40806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3586 - -14?\nAnswer: 359a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16236 is divided by 3239.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3896*r - 3896*r - 195*r**2.\nAnswer: -195*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5193?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26414439 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 43 = n - 58, -h = 2*h - 4 + 22 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/89146 and 107\/48.\nAnswer: 2139504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/144 and -151\/126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -o + 3*k, -2*k - 26 = -5*o - 1. Let j be (4\/5)\/(4\/10). Suppose j*y = 4*y. Solve -z - o + 0 = y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 5*f - 104. Let o(t) = t**3 - 15*t**2 - 8*t + 41. Let p be o(f). Which is greater: -402 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen halves of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73937011 - 0.5934.\nAnswer: -73937011.5934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/((-162)\/(-4)) - 8141\/(-63). Let q = b + -407\/3. Calculate the common denominator of q and 3\/346.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 140\/8*16\/(-20). Let y = 33 + a. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272767, -272770, -272781, -272806, -272851, -272922, -273025?\nAnswer: -273166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1838 + -841. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 317, 515, 711, 905, 1097, 1287?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42790, 79309, 115828, 152347, 188866, 225385?\nAnswer: 261904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 times -0.1532897?\nAnswer: -90.1343436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 7*c**2 + 4*c - 12 = 0. What is c?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -38. Let o be (i\/(-2))\/(2\/(-12)). Let k = o - -196. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.584 and -67046.\nAnswer: -67044.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 1\/3*b**3 + 11 + 3*b + 0*b**2. What is z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -364, -461, -658, -991, -1496, -2209, -3166?\nAnswer: -4403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 370261*l + 0 - 370542*l.\nAnswer: -281*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 8 + (-1 - (2 + -3)). Factor 0*h**2 - 6*h - 2*h**3 + 16*h**2 + 5*h**2 - 4*h**3 - x*h**4.\nAnswer: -3*h*(h - 1)*(h + 2)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + 2*sqrt(153))*3*2.\nAnswer: 7 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 10 - (7 + -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/65, -2, 0.5 in decreasing order.\nAnswer: 0.5, 6\/65, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-0.2.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 2. Let g be p(2). Suppose u - i = g*u - 112, -5*i - 69 = -2*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 15. Let p(q) = 2*q + 16. Give 5*p(h) - 6*r(h).\nAnswer: -2*h - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515210?\nAnswer: 2, 3, 5, 17, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174.8 + 206. Let i = g + -31. Which is the smallest value? (a) -1\/3 (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3686 (base 13) in base 2?\nAnswer: -1111000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/2)\/(3 - 4). Factor 6*y**2 - 11 + 8 - g*y**4 + 10*y**4.\nAnswer: -3*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -181, -2, 2, -4, -3.\nAnswer: -181, -9, -4, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4560012, -4560013, -4560014?\nAnswer: -4560015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*t - 4. Let z be (-50)\/(-5) + -3 + 1. Let l(g) = -7*g**2 - z + 3*g**2 + g**3 + t*g**2 + 2*g**2 - 6*g. Determine l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5036, -5061, -5086, -5111, -5136?\n\"Answer: -25*t - 5011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Let m(w) = 6*w**2 + w + 1. Let z be m(-1). Suppose -z = -5*g + 9. Put b, 2, g in decreasing order.\nAnswer: b, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -11*t + 10*t, -3*j - 3*t = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -154.5 and -965817254.1.\nAnswer: -965817408.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -32627 greater than -32626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a50 (base 13) to base 11.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 300607974297 from 1.\nAnswer: -300607974296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35334 divided by -9.\nAnswer: -3926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*m + 353 - 741 - 717 - 215 - 230*m as z*m + u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + q + 8, 1 = -4*q - 7. What is the common denominator of (-24)\/9*(s + (-109)\/(-53)) and -23\/4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 34\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -2348, -7964, -18906, -36944, -63848, -101388?\nAnswer: -151334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -2 - -1) + (-30 + 14 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aawaaaaw.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 320351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 k when four letters picked without replacement from kkkkkkkkkkkekkekkk?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**4 + 474*k**3 - 1085*k**2 + 776*k - 140. Let p(z) = 3*z**2 + z. Let m(n) = -l(n) + 8*p(n). Factor m(v).\nAnswer: -(v - 1)**2*(v + 70)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021363295 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1301495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1150)\/360 - (-2)\/8 and 23\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262019 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyinogioygoriy. What is prob of sequence gi?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*s - 6*s + 12*s)*(12 + 22 - 8).\nAnswer: 884*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 133 - 2*o + 80 + o.\nAnswer: -o + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1456\/3 - -485. What is the fourth biggest value in 5, q, -3, 2\/5, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 + 3.35. Let c = k + -17.6. Let a = c - -14.00000059. What is a rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-3 - -2 - 1). Let z = g + -1. Let j(q) = q**z + 0*q - 5*q + 6*q. Let s(u) = 4*u**2 + 3*u. Calculate -6*j(r) + 2*s(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 262a?\nAnswer: -2629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 22*t**3 + 23*t**3 + 3*t - 13 as h + j*t**3 + v*t + w*t**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13609647 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u**2 - 24*u - 15. Is y(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 3*q + 21. Let n(o) = o**2 - o - 1. Let u(z) = -d(z) + 3*n(z). Let j be u(-5). Let x = -90 + 629\/7. What is the closest to -2 in j, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 - 67*z**2 - z - 23 - 11*z**2 - 6 wrt z?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -142) + 0 + 1. Let m = n - 707\/5. Let p = 58.6 + -59. What is the biggest value in 0.3, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/404852 and 161\/9629694?\nAnswer: 134815716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -332\/21 <= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2877262 - -1?\nAnswer: -2877261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870250.\nAnswer: 2, 5, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 2*j)*(-272*j**2 + 107*j**2 - 97*j**2)*(0*j**2 + 2*j**2 - 4*j**2) + 1 - 2 + 2 - 2*j**5.\nAnswer: 522*j**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4659*z**2 + 4659*z**2 + 860033*z**3 - 860071*z**3.\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -683 - -2710. Suppose 0 = -18*s - 225 + 2007. Suppose l - 656 = -3*g, -3*l + k - s = g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*l + 4458 + 4866. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from toaaatyoaytayccyaaa.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8844 divided by 8844\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500 and 36500500?\nAnswer: 36500500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1024 + 622*q + 1024 to n + z*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.49 + -1.94. Let b = i - -0.46. What is the nearest to b in 0.5, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 24*m - 2129. What is c(35)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 4*b**2 - 3. Let j(t) = -2*t**3 + 3*t**2 + 4. Let s = -619 - -616. What is s*k(i) - 4*j(i)?\nAnswer: 2*i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w - 36*w = 2*p + 21, 4*w + 4*w - 3*p = 6*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q - 14 = 0. Let s = 21 - q. Let h = 10 - s. Solve -h*r - r + 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 2371 = 2499. Let d(a) be the second derivative of -7\/11*a**4 + 1\/10*a**5 - q*a + 12\/11*a**3 + 0 + 8\/11*a**2. Factor d(c).\nAnswer: 2*(c - 2)**2*(11*c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/77*-305 - (-16)\/22.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000421654542 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327 - -2671. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -11 (b) -0.5 (c) -4.99 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/6)*r*r)**(4\/3)\/(r**8*r\/(r**(2\/3)\/r)) assuming r is positive.\nAnswer: r**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4 + (-2 + 1 - 1)*(4 + 2 - 5) + 4 - 5 - 18)*(0 + 2*a**2 + 0).\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(-30)*s))*s**(3\/5))**(3\/25) assuming s is positive.\nAnswer: s**(-411\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 413 + 806. Let s = -240 + d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 + 2.4. What is the nearest to -0.1 in h, 2\/11, 10, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -1. Let n(v) = 5. Let z(u) = -3. Let o(j) = x*n(j) - 8*z(j). Let g = -15 + 10. Let k(d) = d**2 - 5. Determine g*o(a) + k(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4322 (base 6) to base 8\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 514069861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 218488752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 35532?\nAnswer: 35532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1412 + -1400. Solve -4*j - y - 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**43\/((g*g*g\/(g\/(g*g**(-1\/10)))*g)\/g**4)*((g**(-1\/2)\/g)\/(g\/(g*g**(-4\/5))))\/g**(2\/19) assuming g is positive.\nAnswer: g**(3866\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -608, -423, -242, -65, 108, 277?\n\"Answer: -2*d**2 + 191*d - 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3 - 19564129?\nAnswer: -19564150.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.19 - 6. Let l = 52.4 + -47. Let z = l + q. What is z rounded to two decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/32 - -1\/4. What is the common denominator of (-640)\/(-420) + (-8)\/(-36)*6\/16 and y?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let w = 1 + -2. Let j be 2\/(-4) - w\/(-6). Which is the closest to j? (a) g (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138782931 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -16.5. Which is the second smallest value? (a) 1\/17 (b) 1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348600 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 23994?\nAnswer: -47988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*128\/(408320\/165)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2*c**2 + 51. Let g(t) = 4*t. Calculate g(d(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 6, m: 4}. Give prob of sequence mmmm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969555 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12812309.\nAnswer: 769, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6\/7, 679, -2, 13\/3, -2\/11, 1285\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.2. Let d = -352.13 - -347. Let c = 0.13 + d. What is the second biggest value in c, n, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*t - 10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -42 (c) -16 (d) -2\/109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/9 + (-395)\/(-45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:28 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 - 2 = 0. Let s = t + 0. Calculate the remainder when s is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-25))\/(86\/(-21930))*20\/(-6)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 35*u - 25. Is 13 a factor of q(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 >= 0.0446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 20 = r, -5*r - 27 = m - 1. Let s be 1*(m\/(-3) + 3). Suppose 0 = 5*n - o + 7, -2*n - 1 + s = 3*o. Which is bigger: -2\/125 or n?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -24, 5089 in increasing order.\nAnswer: -24, -3, 2, 5089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -2823.\nAnswer: -2818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = -4*b + 35*h - 3, -b = -h + 2. Sort 11, 8, b.\nAnswer: b, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8472225 a multiple of 2075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from rynxxqi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*v - 3*k + 13, 3*v + 5*k = 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/64 and -25\/648056.\nAnswer: 5184448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(170) - 1*sqrt(170))*-4 - (sqrt(170)*-1*3 + sqrt(170)))\/((sqrt(60) + 1*sqrt(240)\/sqrt(4))\/sqrt(6)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4303 (base 5) in base 4?\nAnswer: -21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 239*i - 3709 + 124 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -1\/12*p**4 - 7\/150*p**5 + 2\/15*p**3 + 0 + 7*p**2 + 0*p. Factor m(x).\nAnswer: -2*(x + 1)*(7*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + 15. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v + 63. Let x be z(-4). Let y(l) = -5*l**2 - 1. Let q be y(-1). Let g = 7 + q. Calculate the greatest common divisor of x and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4274)\/9*-8 - 1. Let r be 22818\/(-4)*((-1)\/3 + 1). Let t = r + s. Calculate the common denominator of t and -51\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 451021 and 815?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.684168 rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Suppose -3 = -2*l - 5. Let r be a(l). Suppose -23 = -r*z - z. What is the highest common divisor of 69 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 70*k - 4. Let d(n) = 7*n - 6. Determine d(o(c)).\nAnswer: 490*c - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31130 (base 4) to base 9.\nAnswer: -1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.564 + -0.064. Let a = -28 + m. Let t = a + 0.9. What is the third biggest value in t, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 5016 = 14*z. Is 76 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 111510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 497501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/600 + w**5\/60 - w**4\/15 + 2*w**3\/15 - 34*w**2. Find m, given that p(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-56)\/(-126) - 2764\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 35 = 82. Calculate the lowest common multiple of c and 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8053*m**3 + 54071 wrt m.\nAnswer: 24159*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37 (b) -0.1 (c) 0 (d) 4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p - 22 - p + 0*p + 7*p + p**2. Let c be a(9). Suppose -3*k + 654 = 3*y, 0*k - c*y - 422 = -2*k. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59880 + -27596. Calculate the greatest common factor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 1. Let k be r(-2). Let u be ((-10)\/(-4) - 1)\/k. Let o = 18 + -17.5. Which is the biggest value? (a) u (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29841.2 + -29841. Put 1\/3, 347, 2\/25, k in ascending order.\nAnswer: 2\/25, k, 1\/3, 347","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.16 - 0.05. Which is the second smallest value? (a) d (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3582, 7087, 10606, 14145, 17710, 21307?\n\"Answer: r**3 + r**2 + 3495*r + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {k: 5, d: 2, g: 8, r: 2, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**3 - 3*m**2 + 3*m + 4. Suppose 5*r + 30 = 55. Let u(k) = 9*k**3 + 5*k**2 - 5*k - 7. Give r*v(y) + 3*u(y).\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-10))\/(-2) - 0. Suppose 6*w - 11 = 13. Suppose l + 3*l = w. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + (-96)\/(-40). What is a in -4*a**2 - 9*a**3 + 13*a**3 - z*a**3 + 2*a + 4 - 4*a**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 + 17*w - 13. Let h be k(7). Suppose -3*c - 3*z = -438, 0 = 5*c - h*c + z + 450. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/24 and -101\/16062.\nAnswer: 64248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 182*r + 3645 = -66*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t = 6745. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + h + 7 = u + 9*u, -u = 87*h + 179 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1421*c**2 - 955*c**2 + 546*c**2 + 2*c + 73*c**2 - 420 - 1606*c**2 wrt c.\nAnswer: -6726*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 465*u**2 - 91*u - 69*u**6 - 45*u**3 + 91*u + 76*u**6 wrt u?\nAnswer: 840*u**3 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12) - (-2)\/(-42)*-10\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001067997 to seven dps.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3818 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 12*i**2 - 29*i**2)*(-1672 + 308 - 947 - 431 - 1502).\nAnswer: 182492*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/7 - 5989*z\/7 = 0.\nAnswer: 0, 5989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v, -6*h + 1979 = -2*h + 3*v. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 3197?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r - 3. Let n be ((-1)\/((-9)\/30))\/(2\/r). Suppose 7 = -n*b + 27. Calculate the remainder when 5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254306491 by -4.\nAnswer: -254306491\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -87*b**2\/2 - 156*b - 38. What are the prime factors of q(-15)?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13171 is divided by 299?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025018 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by -4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 103*o. Let h(a) be the third derivative of -29*a**5\/60 - a**2 + 395*a + 2. Give h(c(b)).\nAnswer: -307661*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:04 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/20))**(-2\/27)\/((d\/(d*(d*d**(1\/7))\/d*d*d))\/d**(-6\/11)))**(-4\/11) assuming d is positive.\nAnswer: d**(-66266\/114345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.04 - -0.04. Let v = 0.16 + -0.56. Suppose -30 = 5*b - 5*w, 4*b = 3*b + 3*w - 10. What is the smallest value in v, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/41 (b) -583 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 668453154 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + -77672)*(8 - 275\/33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 5*g - g + 5*g + g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v**3 - 40*v**3 - 112*v**3 + v + 2 + 1 to s*v**3 + h*v**2 + q*v + o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.92 + -64. Let i = 3.92 - 4. Let p = i - d. Which is the smallest value? (a) p (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 10*f + 2*f**3 - 6*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*y = 8, 5*p - 37 = 3*y - 36 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*t + 7, 0 = -3*t + 3. Let o = 1 - m. Let w = -11 + 17. Solve 4*p - 3 + 15 = 3*q, 0 = o*p + 4*q + w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4 + 32*x**3\/3 + 2*x**2 - 32*x - 1164. Factor h(f).\nAnswer: -4*(f - 8)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 18*i - 6. Let z(y) = -2*y**3 + 35*y - 13. Let t(k) = -13*x(k) + 6*z(k). Find the second derivative of t(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 253*g**2 + 3925*g - 71673. Calculate f(-235).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 7. Let h = p + 3. Suppose -h*m = -4*w + 2*w - 18, -4*w = 3*m - 20. What is the remainder when 23 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) -494 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*18\/(-16)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-18)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17719*s - 4053 - 4053 + 8106.\nAnswer: 17719*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-3))\/(36\/54). Solve 3*q - n = -1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3636 and 31512.\nAnswer: 94536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 11. Let t be h(7). Let q be (-96)\/180 - 4\/t. Solve 2\/5*a**4 + 0*a**2 - 2\/5 - 4\/5*a + q*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67287.01 litres to millilitres.\nAnswer: 67287010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.4. Let v = 1.7 - 1.45. Let c = v + -0.65. What is the nearest to t in -4, 2\/7, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 717110.5 centimeters to micrometers.\nAnswer: 7171105000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28.409 times 6\nAnswer: -170.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 >= 6813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3)\/((-40)\/(-12) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -53*b - 138. Let g(m) = 28*m + 68. Let s(t) = -5*g(t) - 3*h(t). Let r be s(-2). Calculate the highest common factor of 396 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from xisxssost.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-12)\/5 - -2. Let l be (2 - 2)\/(2\/(-2)). Is p less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3690, -4, 1\/4, 0.4, -6 in decreasing order.\nAnswer: 3690, 4, 0.4, 1\/4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/809930 and -113\/1398970.\nAnswer: 15388670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -0.074463?\nAnswer: -0.074463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g. Let l(z) be the third derivative of 5*z**4\/24 - z**3\/6 - 9*z**2 - 6*z. What is l(b) - 3*p(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 189 + 109)*(8*i + i + 5*i).\nAnswer: 3934*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/5, -3, 1885 in decreasing order.\nAnswer: 1885, 2\/5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1) + (4 - (-4)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 5*h**4\/6 + 143*h**3\/3 - 58*h**2 + 15*h + 3. Let c(v) = 0. Calculate v.\nAnswer: -29, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7598 and 1042869.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/3))**(-4\/3))**(-4\/5))**(2\/21) assuming b is positive.\nAnswer: b**(128\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*b = -9*b + 858, 2*h + 4*b - 572 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/636 and -129\/1400.\nAnswer: 222600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106856 is divided by 5612?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94285809 - 94285813.5000099. Let j = p + 4.5. What is j rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1107 or 1713?\nAnswer: 1107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8784, -8780, -8776, -8772, -8768?\nAnswer: -8764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (6 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -268 - -53?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1032215?\nAnswer: 1032224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.51303 - 0.59287. Let f = b + 10.1. Round f to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678468087 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 10*c - 9. Let x(n) = -7*n**2 + 21*n - 19. Let i(h) = 5*t(h) - 2*x(h). Let o be i(7). Let p = 2 + o. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1, 1384 in increasing order.\nAnswer: -2, -1, 0, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 21.84, 132 in increasing order.\nAnswer: 6, 21.84, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420993810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/5 + 721*(-1)\/(-5) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 31 + (14 - 15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -24. Suppose b = -2*t + 20. Suppose -t*c = 7 - 79. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21054 = 121*t - 16*t - 16641. Calculate the remainder when 1082 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2572 and -20?\nAnswer: 51440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1437321 centuries to millennia.\nAnswer: 0.01437321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*r - 12, -3*k - 5 - 16 = 3*r. Let s be 6\/8 + (5 - 7)\/k. Let c be (-2288)\/99 + s\/(-9)*-1. Which is smaller: -20 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10121 - 10119. Factor 4\/7*r**3 + 2\/7*r**g + 0 + 2\/7*r**4 + 0*r.\nAnswer: 2*r**2*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 676984.386 + -676253. Let c = n - 732. Round c to two dps.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 + 3.5. What is the nearest to 0 in 2, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -563 and 0.1?\nAnswer: -56.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 342.\nAnswer: -5\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3331.\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33949 + 24171605\/712. What is the common denominator of n and -49\/1068?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -5*g + 11*g. Suppose -3*c + g = c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from svh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8995586 and 7209?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4147.6? (a) 117 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 594365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 375007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) 16 (c) 4\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45219, -45185, -45151, -45117, -45083, -45049?\n\"Answer: 34*a - 45253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 28 - 48 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 558\/24 - (-69)\/92.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241.7 - -259. Let t = -17 + j. Let l = 2\/221 - -436\/663. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2*d - 2 - 4 - 3*d.\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428055*q + 428503*q = -56000 for q.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 77 + 13. Suppose u - 24 = -3*a. Solve c = -p - 3*c - 7, 0 = a*p - c + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -1.58 (c) -2 (d) -5 (e) -1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6683 is divided by 3264?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i**4 - 5*i**4 + 18*i**4 + 110*i**5 + 238*i**5 - 10*i**4 - 169*i**2 wrt i?\nAnswer: 20880*i**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**2 + 73*k**4 - k**2 - 84*k**4 wrt k?\nAnswer: -264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**2 - 13\/24*t**4 - 68 - 1\/60*t**5 + 4\/3*t**3 + 0*t. Determine s(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/19 - 36*s**3\/19 - 2*s**2 = 0.\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (357\/(-153))\/(63\/(-6))*27\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let c be -5*(-2 - (j - 2)). Suppose 4*z = -c*v + 64, 2*v - 23 = -z - v. Calculate the highest common factor of 121 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/3*2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46696 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:10 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 7:24 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 + 8*i + 3. What is s(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 69 = 11. Calculate the common denominator of (6\/(-36))\/(l\/606) and -93\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s. Let a(t) = 2*t + 1. Calculate f(a(r)).\nAnswer: 8*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -2, 19.52, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 1308 = 5*r - 8*r. Solve -23*h = -r - 75 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -82*l + 2. Let w(j) = -j - 1. Let m be w(3). Let s be p(m). Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) -92 (c) -23.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6386 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 3*u + 1. Suppose -10 = 4*g - 2. Let p be w(g). Is p smaller than -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -358, 1, -104 in increasing order.\nAnswer: -358, -104, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 238\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 727434218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1152824018, -1152824019, -1152824020, -1152824021, -1152824022, -1152824023?\nAnswer: -1152824024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z*z**(2\/11)\/z)\/z*z**(2\/9)\/z)**(-46\/7) assuming z is positive.\nAnswer: z**(-1840\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, w: 1, d: 7, x: 1, s: 1, r: 1}. What is prob of picking 1 r and 1 d?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.001 - 6. What is a rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57711, -33970, -10227, 13518, 37265?\nAnswer: 61014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/5)\/((-336)\/420) + 26\/4. Put s, 32, -1 in ascending order.\nAnswer: -1, s, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 9. Suppose 3*r = -n + 19. Let k(j) = 18*j - 11. Is k(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: a32a0 (base 12) to base 9\nAnswer: 354103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*r + 14, -3*g + 2*r + 3 + 18 = 0. Let l = -1 + g. Suppose l = s - 15. Solve -j + x + 0*x = 2, 0 = 2*j + 3*x - s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1181 + -173605\/147. Let u be 1 + 1 - -4 - 7*1. What is the second biggest value in f, u, 0.2, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*t. Suppose 0 = -4*j + 16, 52 - 20 = 5*v + 3*j. Let z be (-16)\/6*(-6)\/v. Solve -4*m = z*y, 3*m - y = 4 - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 185.\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j**2 + 15*j + 9. Let b(m) = 5*m**2 + 5*m + 3. Let r(n) = 11*b(n) - 4*p(n). Suppose -q + 59 = 9. Let w = 46 - q. What is r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -455, -909, -1363, -1817?\n\"Answer: -454*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from mmtw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from hlnslrn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 5*h**4\/4 + 2*h**3\/3 - 3*h**2. What is the tens digit of d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2304, 3790, 5276, 6762?\n\"Answer: 1486*q + 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 11*u + 4. Let i be l(5). Suppose -4*r = -i + 7. Calculate the remainder when 25 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*y = 324*y - 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-1))\/((-69)\/4485*-65)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2*h)\/h)**(-25)*(h*h**6)\/h**(3\/7) assuming h is positive.\nAnswer: h**(-304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 29. Solve 4*n + 19 = -d*x, 0 = n + 2*n + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385315895.\nAnswer: 5, 23, 29, 31, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.199714 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 750, 1672, 2958, 4608, 6622, 9000?\nAnswer: 11742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + (-13 - -16)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0 + q**3 + 0*q**4 + 0*q**6 + 59\/210*q**7 + 1\/5*q**5 - 103*q**2 + 0*q. What is the third derivative of x(n) wrt n?\nAnswer: 1416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -18*v**2 + 303*v - 68. Give z(11).\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -2\/11 (c) -5 (d) 1\/11 (e) -153 (f) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4653534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - o**2 + o**2 + (4*o**2 - 2*o**2 - 4*o**2)*(-3 + 0 + 2) + 3*o**2 + 0*o**2 - 4*o**2 - 2*o**2 - o + o + 4*o + 2*o - 2*o**2 - 2 - 5*o.\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h - h + (1 - 2*h - 1)*(-4 + 1 + 2) - 2*h + 4 + 3*h - 2)*(-2 + 2 - 2*h).\nAnswer: -8*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*26\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 38. Suppose n = -2*h + 12. Suppose -103 = -4*g + 2*s - h, -3*g + 74 = s. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 6*j - 20. Let n be 0 - (j + 0)\/(-4). Which is the third biggest value? (a) n (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 22. Let u(b) = -288*b**2 - 2*b. Give p(u(q)).\nAnswer: 576*q**2 + 4*q - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(49\/14 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4658\/(-521696) - (-46)\/17696?\nAnswer: -1\/158","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -24. Suppose 5*y - 24 + 4 = 0. Which is the nearest to 0? (a) 8 (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 8*g**5 - 14 + (g**5 + 0*g**5 + g**5)*(-1 + 4 - 1) + g**2 - g**2 - g**5.\nAnswer: -5*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*33\/4928 - 211\/16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2 + 292*p + 21316 = 0.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 994720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 2\/13, -0.2, 338?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.07331925 to 4 dps.\nAnswer: 3.0733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3, -s + 8*g + 7*g + 18907 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - z - 331 = 2*z, 0 = 3*z - 9. Let k = m - -436. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-11))\/((-1265)\/506)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -1055.655.\nAnswer: -1057.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcxdccxccdctttxdtcd. What is prob of picking 1 t and 2 x?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72922 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-94)\/(-2)*-1. Let q = -76 + 50. Let t = p + q. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*p + 962*p - 166271 + 43635 = -1740*p for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 38*o + 108 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -58. Is (-8284)\/c - (-6)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -8, -p + 3 - 4 = -l. Let s = -4 - 6. Is p bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1321 (b) 5 (c) 204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-7))\/18*-18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*x**2\/7 - 13325367*x\/7 - 1402670\/7.\nAnswer: -(x + 701335)*(19*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*w - 2*d = -4, -w = -3*d + 6. Suppose -3*b = -3*a - w*b, 3*a + 6 = -3*b. Let l = 3 - a. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/3 - 280*v**2\/3 - 3358*v - 6348 = 0. Calculate v.\nAnswer: -69, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 724945 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 + 12307*m**2\/3 - 46191383*m\/3 + 47987696309\/3.\nAnswer: -(m - 5299)**2*(m - 1709)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 1 - 3*w + 3*w)*(5*w - w - 3*w)*(0 + 1 + 2).\nAnswer: 6*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*h + 22, -4*n = -9*h + 7*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*s - 5*s + 51, a = 4*s + 127. Let b be (12\/38)\/((-22)\/s) - 0. Is b less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-1508.\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4987.\nAnswer: 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 25776 and 28368 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nddapdadddn. What is prob of sequence ndn?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1\/3 (b) -0.5 (c) -0.4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 4. Let k be b(5). What is the units digit of (-20)\/(-4*(-1)\/k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, a: 9, f: 1}. Give prob of sequence va.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**7\/3780 + j**5\/540 + 2*j**3 - j. Let i(z) be the second derivative of v(z). Determine q so that i(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3209033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32 - -34)\/(0 + 2). Let h(f) = 92*f**2 + 1. List the prime factors of h(x).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300693 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7 + 0*b + 6*b + 6*b + b**2. Let w be a(-12). Suppose 2*l + 20 = w*l. Solve l*y - 6 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5604980.\nAnswer: 2, 5, 280249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 7:29 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 2 - 4*d + 3*d + 4. Let m be b(0). Find the second derivative of -5*v**2 + 0*v**2 - 2*v + 2*v**m wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -102846.\nAnswer: -5142.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 651 + -347. Let s = -275 + n. What is the highest common factor of 29 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7093 - 14559988?\nAnswer: -14552895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 6396.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n + 6149 - 43333. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/16)\/(-2 + 3). What is the nearest to j in -5, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182669600 rounded to the nearest 1000000?\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 434344745 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 y, and 2 x when four letters picked without replacement from kykxxxyykkxkyy.\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 233 + 245 = 0, 2*z = c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 7 + 7)*(-3 + 4 + 2)*(-2 - 2 - 1).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 584, 1086, 1554, 1988, 2388, 2754, 3086?\n\"Answer: -17*v**2 + 553*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68259494 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*-3*3\/18.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -5. Let w = i - -16. What is the tens digit of (2\/(-3))\/(w\/174)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -5, 2, 9.7, 5\/4, -151?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 127*c = -131*c + 78, 2*u - 4*c = -54 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*j**2 + 8*j**2 + 6*j**2)*(2*j - j**2 - 2*j) - 3*j**4 - j**4 + 6*j**4 in the form q*j + v*j**3 + d*j**2 + i*j**4 + y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 3:18 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.338 (b) -13 (c) 0.3 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59837 + 1829 = 8442*b + 2572 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8065347250 to the nearest 1000000.\nAnswer: 8065000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000122812 rounded to six decimal places?\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 2\/2 + -3. Suppose 4 = -l, m - 2*m - 14 = 4*l. Find a, given that m*a**3 + 3*a**u + a**4 - a**2 - a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 532644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -17*b + 20. Let x(j) = -4*j + 5. Let w(n) = 2*g(n) - 9*x(n). Let u(t) = 1 - 4 - 1 + t. Give 4*u(y) - 3*w(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1950*k = 1953*k + 9, 0 = 5*y + 5*k - 465. What is the remainder when 487 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5263.\nAnswer: 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y + 999 = 504 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -0.3, -0.2, -11, -181\/281?\nAnswer: -181\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 0.3, 12, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -37. Calculate the highest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:59 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(304) + sqrt(304) + (3 + sqrt(304))**2).\nAnswer: -313 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -339, -816, -1293, -1770, -2247, -2724?\n\"Answer: -477*a + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 95, 102, 113, 128, 147, 170, 197?\n\"Answer: 2*v**2 + v + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1047*b - 4738. Is r(57) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u*u)**(-2\/47) assuming u is positive.\nAnswer: u**(12\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 5. Suppose 0 = 5*d - 4*v - 2, a*d + 2*v - 6 - 8 = 0. Suppose 0 = 5*b - b - 24. Solve 2*j = 4, -4*x + d*j = -b*x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -724, -4, 291, 3 in decreasing order.\nAnswer: 291, 3, -4, -16, -724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*34\/(-24) + -4. What is the closest to h in -2\/5, 2\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*q - 558, q + 0*x + 3*x - 190 = 0. What are the prime factors of q?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 204.\nAnswer: 204.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.013 - -0.133. Put 3\/2, -1, n in increasing order.\nAnswer: -1, n, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**4 - 1678*x - 295*x**3 - 222*x - 225*x + 25*x**4 + 1425*x**2 - 625 = 0.\nAnswer: -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhx. What is prob of sequence xr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -m - 7, -2*r = 2*m + r - 6. Let a = -2 - m. Let v(q) = 10*q**2. What is the units digit of v(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/4)\/x))**(-2\/9))**20 assuming x is positive.\nAnswer: x**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/4 + 119\/12. Let g be (-2)\/9 - (-510)\/2538. Let t = g + -43\/188. What is the second smallest value in j, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 137*r - 10363 + 9815 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 1\/5, -4\/3, 4.\nAnswer: -4\/3, 1\/5, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2998 - 3003. Which is the nearest to 5\/4? (a) -1 (b) 2 (c) j (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 7. Let w be a(9). Let j(f) = 0*f**3 - f**3 - 5*f**w + 4*f - 5*f - f**2. Let v be j(-6). Solve v = 2*i + i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 70525*f**2 - 1243408643*f - 1243479169.\nAnswer: -(f - 35263)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/((sqrt(40)\/sqrt(5) + sqrt(8))*4))**2*3.\nAnswer: 57\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(-6*sqrt(27)).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztzttzezztteuezte. What is prob of picking 1 u, 1 e, and 2 z?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*l - 152*l = -118*l - 17760 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and -8907.59?\nAnswer: 8896.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 242\/62 - (10 + -6). Let w = 267\/124 - a. Put w, -2\/5, -0.1 in ascending order.\nAnswer: -2\/5, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*10*12\/(-30). Let b be (-60)\/x - (-30)\/2. Suppose -b = -5*z + 2. Solve -3*c - z = 4*p + 8, 2*p = 5*c - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567028 is divided by 615?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + k**2 - k + 2. Let f be u(0). Suppose -f*p = 2*p - 8, 368 = o + 5*p. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*d - 17. Let t be 8 - (0 - 2\/(-8))\/(685\/21920). Solve -d*h + 3*h + 15 = t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272961.\nAnswer: 3, 13, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -149.8, 0, -2?\nAnswer: -149.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86609.565ms to hours.\nAnswer: 0.0240582125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -42927a77?\nAnswer: 42927a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -1\/336*v**8 + 0*v + 25*v**2 + 0*v**6 + 0*v**7 + 0*v**5 + 0*v**3 + 0 - 7\/8*v**4. Find the second derivative of n(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*i - 29. Let b(j) = -j**3 + 10*j**2 - 14*j + 39. Let z be b(9). Is i smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5*a + 46, 24 = -17*a + 13*a. Put -4, v, -3, 2 in ascending order.\nAnswer: v, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3000202 + 2203?\nAnswer: 3003011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*j + 5 = -3*j, 3*r + j = -31 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 99*l**2 + 971*l + 1947. Calculate u(-2).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 5296 = -42*z. Let i = z + 1894. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s = 60*s + 54. Let u(x) be the first derivative of -18 - 5\/4*x**4 - 5\/2*x + 5\/2*x**2 + 1\/2*x**5 + 0*x**s. Let u(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719313432 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 10*w - 144. Let m = 131 + w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436853531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 115, 262, 477, 766, 1135, 1590, 2137?\nAnswer: 2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304 + 1044 - 369 + 15*b**3 + 0*b - 371 + 0*b.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (178*1)\/((-2)\/(-1)). Suppose -2*q = -y - 77. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 85*y + 8 - 12 = -81*y, 0 = -3*k - 4*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*1260\/(-30)*37\/((-1332)\/36).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152 + -150. Suppose 11*q - 144 = -r + 15*q, -m*r - 4*q = -312. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -214631.94285 and 3.8.\nAnswer: -214628.14285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*i + 2 - 2 + 1 + i - 1 + i + 1 - 1 + (i + i + 0*i)*(2 + 2 - 3).\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 4. Let z(c) = 3 - 5*c - j + 4 + 0*c - c**2. Let q be z(-6). Let b(t) = -t - 13. What is b(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -4\/9 (c) 5 (d) 2\/59 (e) -3746 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 44*y + 35. Let j(t) = -22*t - 14. Let z(r) = -4*g(r) - 10*j(r). Let l(o) = -10*o. Calculate l(z(c)).\nAnswer: -440*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -58.426\nAnswer: 23.3704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7*22\/33?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 0, 4*s - 25 + 1 = 2*u. Suppose 3*t + s = -0*t. Let q(d) = -2*d**3 - 3*d**2 - 4*d - 3. What is q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 244 = -2*p, 4*p + 980 = -10*s + 14*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179622 times -289?\nAnswer: -51910758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2 - 4*m + 3*m + 10 + 3*m. Let b be s(-8). Let u(y) = -y - 2. Determine u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553 = -660*k + 667*k. Let l = k - 76. Let v = -9 + 18. Calculate the greatest common factor of l and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(3\/(-90)*-3). Let h(r) = r**3 - 5*r**2 - 7*r. Let t be h(6). Let k(w) = -5*w. Let m(b) = -9*b. Let a(q) = t*m(q) + 11*k(q). Give a(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 482746599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*((-2065)\/(-177) + (-39)\/3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 18*g - 17. Let i be y(7). Suppose -i*f - x = -29, -4*f + 0*f + 4*x = -44. Solve -3*j - f = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -297, -292, -285, -276, -265, -252, -237?\n\"Answer: b**2 + 2*b - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 15. Let g be x(-6). Suppose 2*z - g*q - 610 = 2*q, z - 2*q - 305 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -4*g. Suppose -u + g*u + 2*v = 64, 2*u = 4*v + 94. Suppose i = 168 - u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -75. Let w = -66 - s. Let z = w + 12. Which is the nearest to z? (a) -1 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24272 + 14232. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2703*f + 112950 = -92478 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -148041 divided by -3?\nAnswer: 49347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 24. Let k = 45 - f. What are the prime factors of 820\/k*(6\/(-10) + 0)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 2 - 1 + 0)*(0 - 9 + 0).\nAnswer: -27*m - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36202 (base 8) in base 7?\nAnswer: -63106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -38*t + 29. Let v be d(6). Let o = v + 305. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 - 22 = -4*r, 0 = r + 2*i - 18. Suppose 2*k = r + 694. Round k to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -240 - 15097.\nAnswer: -15337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14608009*r**6 + 19*r**3 + 455732710*r**2?\nAnswer: -1752961080*r**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 17664168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3050671 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 58*d**2 - 120*d + 12213. Determine x(-63).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 7. Let s(v) = -28*v - 223. Let p(d) = -6*b(d) - s(d). Let m(l) = l. What is m(p(o))?\nAnswer: -2*o + 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 5 (c) 1\/4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -2)\/(5\/(-35)). Let c = a - 19. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 152.23?\nAnswer: -152.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (2 + 5 + 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191 - 191.0145. Round l to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*a + 2, 5 = a + 4*w + w. Suppose a*k + k = 10. Suppose -1 - k = -l. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41102 - 80*y + 41102)*(y - 9*y**2 + 14*y**2 - 5*y).\nAnswer: -400*y**3 + 320*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/2 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.4 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 2, g: 3, l: 4}. Give prob of sequence bb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 258726420 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-128 - 2)*(3 + -1). List the prime factors of c\/(-16) + 3\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8143232?\nAnswer: 2, 113, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let h be 6 + 224\/(-35) - 4\/(-10). Which is the closest to i? (a) 4 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 62619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - 131548987.\nAnswer: -131549051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -161.731 not equal to -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(3\/(9\/6)*32\/320)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.16797 (c) -49\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5\/5 - 153*l**4\/5 - 3423*l**3\/5 - 3111*l**2\/5 + 684*l + 3264\/5 = 0.\nAnswer: -16, -1, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 59*p**5\/10 - 6*p**2. Let g(c) = c. What is g(n(m))?\nAnswer: 354*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.70157 (b) 2\/5 (c) 4 (d) -4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -274610.106 rounded to the nearest ten?\nAnswer: -274610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -19, -55, -125, -241, -415, -659, -985?\n\"Answer: -2*y**3 + y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -624 in 2, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -220875 divided by -465?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 + 195*i - 970. Give f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g)**(-7\/3)*g**(-1)*g**(-2\/29) assuming g is positive.\nAnswer: g**(-482\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 - 30\/(-252)*3. Sort 2\/7, t, -3\/35, -5.\nAnswer: -5, t, -3\/35, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 9. Let y(d) = 24*d + 8*d + 23*d - 67*d + 13 + 17*d. Let q(x) = x + 8. Let z be q(-3). Determine z*y(m) + 7*h(m).\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5002*p**3 + 1499*p**3 + 28 + 20 - 4*p - 16. Let g be w(22). What is g rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 3357*a - 41*a**3 + 1 + 3354*a + 26*a**3 to o*a**2 + b*a**3 + k + j*a and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*p - 136*p - 12 = 0. Solve 4*u - p*l + 4 = 0, l - 5 = -1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2 + 4\/3). Let j be (-1221)\/1243 + (-1)\/(-4). Let m = -2\/113 + j. Are u and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72175400?\nAnswer: 2, 5, 11, 53, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 + 216*u**2 + 48*u + 163. Give t(-43).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*f + 2, 0*f - n = 4*f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, and 2 b when four letters picked without replacement from {e: 4, b: 2, h: 1, s: 4, i: 3, r: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 114 + 287)*(-1 + 1 + 2)*(-25*m**3 + 16*m**4 + 25*m**3).\nAnswer: 5856*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 + 16 = 0. Suppose 0 = -f - 2*a + 14 + n, -5*f - 2*a = -107. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 3) in base 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -310 + 309 - (-1 - 12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 863549?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**5\/20 + 3*k**4\/4 - 3*k**3\/2 + 3*k**2 - 4*k. Let q be -2 - 1 - -1 - 8. Let s be d(q). Let l(p) = p - 1. What is l(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/24*2)\/(1\/(-3)). Let a be 1*(58\/4 - x\/(-14)). Suppose 0 - 16 = -4*g. Solve -r - g*r = -a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 - 9*t + 2. Is 16 a factor of c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 25*u - 88*u.\nAnswer: -112*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m + 4*m)*(0*m - 3*m + 5*m) - m**2 - m**2 + 0*m**2 + 3*m + 4 + m**2 - 6 + 5*m**2 to q*m**2 + a + v*m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 36*j**2 - 39*j - 64. Determine l(-37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 13) to base 2\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 19\/1823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g - 1)*(-7*g**2 + 5*g**2 - 9*g**2 + (1 - 4 + 2)*(4*g + 3*g**2 - 4*g) - 14*g + 14*g - 4*g**2).\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13361366 to the nearest integer?\nAnswer: 3655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10750000 rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11220022011 (base 3) in base 15?\nAnswer: 1d89d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -4*x, 2*g - 3*g + 5*x + 8 = 0. Suppose -g*h + 2 = -5*h. What is the least common multiple of 11 and (h*3)\/(3 - 4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525850 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/28 and 97\/52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -303960 to the nearest 1000.\nAnswer: -304000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330173?\nAnswer: 3, 13, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - h + 2 = -0*h, 2*p + 5*h + 24 = 0. Calculate the remainder when (-87)\/3*(p - -1) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 0 + 0)*(26*n - 25*n + 158*n).\nAnswer: -159*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11372146 - -68334807.\nAnswer: 79706953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1242 and 1717686?\nAnswer: 1717686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*i + 51*i - 432 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/18)\/a*a**(2\/7))\/((a\/(a\/a**(-4\/9)*a))\/(a\/(a\/(a*a\/a**14)))) assuming a is positive.\nAnswer: a**(-1175\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 218 + 545. Let h be 0 - (1 - (w + -2)). Suppose 3*f + 0*f - h = 5*m, f - 2*m = 37. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -11. What is the lowest common multiple of y and (-1 - -2 - 3)\/((-164)\/328)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u. Let h = 2 + -5. Let m(j) = -2*j - 3. Let b(n) = -4 + 3 + 0 + 3*n + 5. Let q(i) = h*b(i) - 4*m(i). Determine q(r(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -81548 times -240?\nAnswer: 19571520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*g - 44 + 44)*(1 + 5 - 5) - 2*g + 1 - 1 + (2 - 4 + 0)*(-2 - 2*g + 2) to u + r*g and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + k = 7, w - 3*k = 2*w - 17. Let t = w + 2. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**6 + 18676*r**4 - r**3 + 14*r**2 - 93409*r wrt r?\nAnswer: 480*r**3 + 448224*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 317826 and 317826?\nAnswer: 317826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2540629 and 44642481?\nAnswer: 312497367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 770, 60\/11, 0.5, -1\/4, -5, -4.\nAnswer: -5, -4, -1\/4, 0.5, 60\/11, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.049 and -213.\nAnswer: 10.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.7, -6, 1, 2\/9, 12?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.43 and 0.56.\nAnswer: -5.2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3854*i**3 + 4*i**2 - 286*i + 282. Determine q(1).\nAnswer: 3854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -61, -84, -107?\n\"Answer: -23*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -80327142.1 rounded to the nearest 1000?\nAnswer: -80327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68964020 divided by -2.\nAnswer: -34482010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:47 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from evevttvbebee. Give prob of picking 1 t and 3 v.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**3 + 17*n**3 + 8*n**3 + n**2 - 17 + n**3 - 2*n**6 wrt n.\nAnswer: -240*n**3 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 1, r: 2, w: 1}. What is prob of picking 1 a and 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1423254.2 and 147.\nAnswer: -1423107.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 15, 36, 65?\n\"Answer: 4*z**2 + z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:44 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 6*w - 14. Suppose -10*m = 22 + 38. Let s(o) = o + 1. Let c(z) = m*s(z) - k(z). Calculate the remainder when c(-6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 52 - 23 = 0. Let n = 53 + q. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2205872846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 320*f + 648.\nAnswer: -2*(f - 2)*(f + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 129*h**3 - 6*h**2 + 3*h + 3. Give i(1).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 232.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 + 4 = 0. Let t be 0 + (2 - 19\/y). Let j be (-46)\/12 + 4 + (-2)\/(-6). Which is the second smallest value? (a) j (b) t (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(504) + (sqrt(504) - (sqrt(504) + (-1*sqrt(504) - sqrt(504))*-1 + sqrt(504))))\/sqrt(8).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = 4*l + l, -3*l = t - 13. Let j(s) = 8720*s**l + 0*s**2 + 49280*s**3 + 5 + s**2 - 6. Let q be j(1). Round q to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 588486*z**3 - 7 - 588505*z**3.\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -11*x + 5*x. Suppose -4*b - j = -62, x = b + 5*j - 19. Solve 0 = -5*f + 2*f - b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 28812*f**2 - 28809*f**2 - 3 + 2. Determine w(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -339, 0.4 in ascending order.\nAnswer: -339, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114557 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -144770?\nAnswer: 144738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, -1, 391?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(20)*2 + sqrt(20))*3)\/sqrt(10) + -6*(sqrt(10)\/sqrt(5))**2 + 2).\nAnswer: -45*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b**2 + 257*b - 36. What is x(-18)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -64. Suppose b = -3 + d. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1219512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.2 - 31. Let k = 0.3 + c. What is the nearest to 1 in -3, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3160 by 395.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 10*w**2 - 5*w + 10. What is the least common multiple of g(-10) and 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 3*u + 29, 0 = 4*u + 4*b + 32. Let t be (-4)\/(1\/1 + u). Let g = 6 - 1. Solve -4*l + 9 = t*i - 9, -g*i + 21 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 149\nAnswer: -59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9306?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-4*n**3 + 2*n**3 + 3*n**3) - 2059686*n - 4*n**2 - 27 - 2*n**2 - n**3 + 2059692*n as k*n + t*n**3 + h + v*n**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -k - 3. Factor 3 + 7*c**2 - k*c**2 + 3*c - 3*c**3 + 0*c**3.\nAnswer: -3*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-16))\/((-1)\/188). Suppose -124 + a = -7*y. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 165?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r**2 + 3*r + 4. Let g be c(-3). Let j be (-2 + g\/70)*-148. Let y = j - 12\/5. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:58 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 59*t**2 + 2*t + 2. Let l be s(-2). What is the derivative of -211*g**2 + 12 + 1 + l*g**2 wrt g?\nAnswer: 46*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121733, -243467, -365201, -486935, -608669, -730403?\nAnswer: -852137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u**4 - 814*u**3 + 1715*u**2 - 1188*u + 252 = 0. What is u?\nAnswer: 2\/5, 6\/7, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1063275 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apird. What is prob of sequence rp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 - 50*u + 225. Let g(x) = -x**2 - x - 41. Let o(d) = -4*g(d) - y(d). Give o(26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-154)\/(-33)*3\/2. Let b(u) be the first derivative of u**2\/2 - 4*u - 7588. What is b(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87560 and 52536?\nAnswer: 262680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 23*g**2 - 619*g - 13255. Give j(-22).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 25. Suppose -j*b + 2*b = -20. Suppose -3*y = b*q - 0*y + 3, -5*q - 5*y - 5 = 0. Solve 4 = 4*x, 4*d + 5*x = -q*x - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1332 + 1317 - 16*f**2 + 20*f**2 + 1315 + 1318 - 5282.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 7*z - 4*z. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 83069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393373242?\nAnswer: 2, 696686621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 199 + (-298 - -142)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, e: 7}. Give prob of picking 4 e.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2311 (base 4) to base 3\nAnswer: -20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -66.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 4*l**2 - 9*l - 15. Let m be f(6). Let a be ((-16)\/12 - -1)*-1. What is the nearest to a in m, -1, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6324424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*x - 78 + 71, 4*t - 4 = -4*x. Solve -65 = -10*v - x*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/((x*x**5)\/x)))*x**9)\/(x**(-3))**(3\/10) assuming x is positive.\nAnswer: x**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 6*j + 3*j + (0 + j + 0)*(-5 + 2 + 2))*(5 - 4 + 7 + (-1 + 3 - 1)*(-4 + 1 + 1))*(2 + 2*j**2 - 2) in the form g*j**2 + d*j**3 + b*j + o and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 - -3.36. Let b = -0.09 - y. Let s = 247 + -2221\/9. What is the second smallest value in b, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, -0.6, -1\/4, 4\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.1365, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 3*g**3 + 6*g**3 + 3*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137096.\nAnswer: 2, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + -1) - 34 - -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -8*r + 11*r - 4512, 5*r - 7530 = 5*y. Suppose -5*x + 33869 = 2*c, -4*c + r = x - 5272. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**3 - 3161423*n**2 - 6*n**3 - 3*n**3 + 3161423*n**2.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 14*h - 74. Let x be c(18). Let u = 0.5 + -1. Let r = -1.3 - u. Is x < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31692 and 8340.\nAnswer: 158460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2\/(-6)*3. Let d = u + 9. Suppose 52 - 20 = d*r. Solve -4*h + 3*w = -11, -r*h + 9*h - 2*w = 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6355263056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274 - 277.5. Let c = -0.48 - -4.48. What is the third smallest value in i, 2, -0.4, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -513*l**2 - 605?\nAnswer: -1026*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/2 of a century?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2 + (-5)\/(-160)*72. Put 2, f, -0.2, 6\/35 in increasing order.\nAnswer: f, -0.2, 6\/35, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4424 + 2?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 125.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppzp when four letters picked without replacement from ppzpzppp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 4*g + 31. List the prime factors of p(-10).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31963392803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/11 - 296*t**3\/11 - 11526*t**2\/11 - 42336*t\/11 - 31104\/11 = 0. Calculate t.\nAnswer: -72, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*o - 2 = 0, -4*w + 0*o - 28 = 5*o. Let i be (-2)\/(-7) + 26\/7. Put i, 0, w in increasing order.\nAnswer: w, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -2) + 5 + (23 - 12) + -15 + -7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i - 2*s - 10, -5*s = i - 9. Let c(f) = -3*f + 5. Let p be c(5). What is the remainder when (-146)\/p - (-10)\/25 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -15. Let x(o) = -11*o - 2. What is the remainder when x(y) is divided by (0 - (-1)\/(-2))*-36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1228609, 1228608, 1228607?\n\"Answer: -y + 1228610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1727811 and -15\/25066.\nAnswer: 521798922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5 = -4*g, -226 + 221 = 3*g - 4*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4707\/559 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -1\/70*i**7 - 1\/20*i**5 + 1\/20*i**6 + 0*i**4 - 8*i**2 + 0*i + 0 + 0*i**3. Factor p(d).\nAnswer: -3*d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + -8 + 0 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 528*d + 584*d + 46855 - 151 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 345 = -0*h. Does 23 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48211977 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -30, -73, -136, -219, -322, -445?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -208 - 81073?\nAnswer: -8127b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12144975*b**4 - 41763*b**2 - 212*b wrt b?\nAnswer: -291479400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*y = y + 560, 339 = 3*g + 3*y. Suppose 3*z - 4*k = 23 + g, z = 2*k + 47. Suppose 0 = -z*i + 36*i + 167. List the prime factors of i.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*b**2 + 70*b**2 - 143*b**2)*(-b**2 + 3*b**2 - 6411*b + 6403*b).\nAnswer: -94*b**4 + 376*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 50. Let c be r(-22). Let m(l) = -1. Let f(b) = b + 5. Let a(n) = -f(n) - 3*m(n). What is a(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from kkkyyyyyyqkyyykkkqq.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75 + 78*k**3 + 450*k - 455*k + 50 - 3*k**4 wrt k?\nAnswer: -36*k**2 + 468*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrbtrrlrr. What is prob of picking 1 l and 3 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2446200 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 817, 1\/3, -0.1 in increasing order.\nAnswer: -1, -0.1, 1\/3, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64.3 and 0.1.\nAnswer: 6.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 426740.2\nAnswer: -85348.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 5*y**2 - 24*y.\nAnswer: y*(y - 3)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-4 - (-2 + 0)). Suppose n = c + 3*c - 12. Suppose 3*d = 4*k - 6, -c*d + 5*d + 8 = 4*k. What is the least common multiple of 3 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -34*x + 27. What is p(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-5\/4)*t)\/t))\/(t**36\/t))**(-1\/3) assuming t is positive.\nAnswer: t**(131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1491174.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6576)\/(-22605)*165\/132\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 18 - (-2 + 1 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24034421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3311951, 3311934, 3311883, 3311780, 3311607, 3311346, 3310979, 3310488?\n\"Answer: -3*l**3 + l**2 + l + 3311952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 4808412?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 26*c + 3*l + 15 = 0, -c + 2*l = -10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzy when three letters picked without replacement from yzzzyzzzhyzhzhyzzhz?\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = q - 40. Let g = q + 10. Let b(y) = -58 + 3*y**g + 58. Let d(c) = c. Determine d(b(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -52*t - x = -23*t - 26*t + 4, -3*t = 3*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 163807722\nAnswer: -32761544.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of ((-1080)\/200)\/(1\/(-565))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*m + 673*g**3 - 33*g**2*m - 5160*g*m + 2*g - 3*m + 4 wrt g?\nAnswer: -12*g*m + 4038*g - 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1223 - 1223 + 19*p**2.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1179*m + 1 + 142*m - 273*m in the form g + o*m and give o.\nAnswer: 1048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 + 260 - 134 - 14*z.\nAnswer: -14*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 4*j + 11*j)*(-2*j**4 + 2*j**4 + j**4) + (-j**2 + 3*j**2 + j**2)*(0*j**3 - 2*j**3 + j**3).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 304*u - 4602. Give k(-14).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21286850649511 - -3.\nAnswer: 21286850649514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191652*a*t**2*x - 45*a*t*z + 865*a*x*z - 34*a*x - 3*a*z - 2*t**2*x*z + 26*t**2*z wrt t?\nAnswer: -383304*a*x - 4*x*z + 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 1. Let q be s(7). Let n = q + 0. Let t(u) = -2*u - 1. What is the remainder when n is divided by t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + f**5 + 0*f**5 + (6 + 1 - 1)*(-4*f**5 + 3*f**5 + 2*f**5).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2327*v - 1140*v + 575 = 1164*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 9*v - 23. Calculate b(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 + q - 2. Let v be c(6). Suppose 0 = v*y + 13 - 49. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (9660\/810 + 2)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:12 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049598189 to 6 dps.\nAnswer: -0.000496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7032 less than 0.06?\nAnswer: -7031.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, -0.5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2865 + -0.4.\nAnswer: 2864.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7 + 15 - 4 - 851*n to u + y*n and give y.\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 101. Suppose 4*c**5 - 8 + 7*c + 61*c**3 + 2 + r*c**2 + 108*c**4 - 81*c**4 = 0. Calculate c.\nAnswer: -3, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*o - 14 = -2*k, -22 = -3*k + 2*o. Let z(m) = -m**3 - 2*m**2 + 2*m. What is the lowest common multiple of z(-3) and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 183, 346, 509, 672, 835, 998?\n\"Answer: 163*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21914793 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-3) - 2) + 12. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 98756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184007708 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331*h - 326*h - 4*p = -108, 2*h = 3*p - 46 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 5 + (3 - 5 + 0)*(-2 - 2 + 6))*(-11190 + 11190 + 218*h).\nAnswer: -654*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 54, 116, 206?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1307, 875, -5 in decreasing order.\nAnswer: 875, 5, -5, -1307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 3*v**2 + 3*v - 1. Let s be t(2). Let a be (-12)\/(-9)*(-6)\/4. Let z(i) = -i. Let m(d) = -4*d. Calculate a*z(p) + s*m(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24a0 (base 13) in base 8?\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and 4103801760.\nAnswer: 4103801769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 8. Let k be r(-8). Suppose -4*i - 8*t - 3 = -3*t, 0 = i - 4*t - 15. Suppose 26 = i*o - k. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1126059*o**2*x**3 - 2*o*x**3 - 823*o*x + o - 44 wrt o?\nAnswer: -2252118*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030091 to 7 dps.\nAnswer: -0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.887 equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91839916, -91839915, -91839914?\nAnswer: -91839913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027132 rounded to four dps?\nAnswer: 0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1987, 1974, 1947, 1900, 1827, 1722, 1579?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 3*p - 4. Let r(i) = -2*i - 20. Let z be r(-11). Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.45956 days to milliseconds.\nAnswer: 1681305984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 391*t**2 + 152881*t.\nAnswer: t*(t + 782)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(46\/(-4) - -3). Suppose -4*a + m = -p - 4, -5*m - 45 = -5*a. Solve a*r - 8 = 0, -3*t - 2*r + r - 7 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18102 and 2586.\nAnswer: 18102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h**2 - h**3 - h + (5 + 7 - 6)*(5*h**3 - 2*h**3 - 7*h**3) - 71 + 4*h + 2*h**3 + 71.\nAnswer: -23*h**3 + h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -4. Let f be (-6 - -1) + -2 + 5 + 2. Suppose f = u - 5 + j. Solve -u*d + 12 = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*k*l*z - 7*k*l - 7*k - 2*l - 3*z with respect to z.\nAnswer: 69*k*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 400482\/11 greater than 36408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 4*y**2 + 5*y - 2. Let q be w(-5). Let p be (33\/(-5))\/(33\/110). Let i be 1\/q*p\/1. What is the highest common factor of i and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/(v*v**(-6)))\/v)*v**(-6\/5)*v**5*v**(-10\/11)\/v assuming v is positive.\nAnswer: v**(-116\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 264, -135007 in increasing order.\nAnswer: -135007, -4, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + sqrt(3) + 0 - sqrt(189)\/sqrt(7))**2 - (-5 + (sqrt(3) - (sqrt(3) - ((sqrt(6)*1)\/sqrt(2))**2))).\nAnswer: 8*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7682\/22 - ((-248)\/88 + 3). Let z = k + -333. Calculate the greatest common divisor of 464 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43163327 and 2249.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12. Suppose 1060 = 5*g + 3*y - 4*y, -1065 = -5*g + 2*y. Suppose -n*w + w = -g. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/19397 and -41\/187?\nAnswer: 213367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 27\/124?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 0*c + 44 + c + 42.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -22. Let i(c) = 4*c - 1 + 2*c + t*c - 11*c. Let r(u) = 12*u - 10. Let l(b) = -10*i(b) + r(b). Give l(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 x, and 1 a when three letters picked without replacement from {x: 2, h: 1, u: 1, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 70\/(-21) + 4 - (-154)\/(-240). Let q(a) be the third derivative of 0*a**3 - 1\/80*a**6 - y*a**5 + 0 + 0*a + 1\/16*a**4 + 1\/140*a**7 - a**2. Factor q(b).\nAnswer: 3*b*(b - 1)**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 1 + -2 - (2 - 35 - -39)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 5*d + 4*q - 1874, 5*q = -10. Suppose -754 = -421*t + 408*t. What is the remainder when d is divided by t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**2 - 5*j - 13. Let g be u(-3). Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-13020)\/(-150))\/(3\/60). Calculate the greatest common factor of n and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55609102 or -55609106?\nAnswer: -55609106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 141133014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - -2 - (15 + -13)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204 + 298. Find the common denominator of 87\/4 and 3\/9*c\/(-12).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = m - 5. Let x be 3\/(m - 0) + 35\/5. Let k(r) = 4*r**2 - 2*r - 1. Let h be k(-1). Sort -4, x, h in descending order.\nAnswer: x, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2, 1.16, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 2. Determine b(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -539.0129 (b) -1 (c) -1\/4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 823 + 186. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41491986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*b**3*i**2 - 6*b*i**2 - 58*i**2 - 3*i wrt b?\nAnswer: -33*b**2*i**2 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, -3010, -3.03?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 a factor of 668267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i - 9 + 4*i + 6*i - 4*i. Let u(h) be the third derivative of 5*h**4\/24 - 5*h**3\/6 + h**2. Suppose -4*q = -0*q - 12. Calculate q*f(d) - 5*u(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -32, 1.\nAnswer: -32, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8109 and 155873?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8131409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2774, -5546, -8318, -11090?\nAnswer: -13862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 167*j - 792. Let d be y(-88). Solve 8 = -2*v - 3*r + r, d = v - r - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 + 27*p - 2. Give o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -225, -506, -899, -1404, -2021, -2750?\nAnswer: -3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 56 = 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 60\/25)\/(4\/20). Let l be (-2)\/5 - ((-2859)\/1185 - w). Is l at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83111.5 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 252*o - 6. Let z(x) = 504*x - 9. What is -5*i(y) + 3*z(y)?\nAnswer: 252*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5 = -17, 0 = 4*p - 4*c - 28. Calculate the remainder when 1409 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + 159*f**2 + 1198*f**2 + 9*f)*(5 + 3 - 5).\nAnswer: 4071*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 14?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b + 17*b**2 + 1 + 11*b**2 - 10*b + 2*b**2 + 7*b**2 - b**3 in the form a*b**3 + d + n*b**2 + s*b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*l - 6327 = 0, 5*v - 34*l = -38*l + 31624. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/892 - 39719\/4460. What is the common denominator of n and 1024\/(-176) + (-1)\/(-1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0*u**5 - 41*u**3 - 24*u**3 + 2*u**5 + (-u**2 + 2 - 2)*(-5*u**3 + 2*u**3 + u**3).\nAnswer: 4*u**5 - 65*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902500*r**5\/7 - 6446700*r**4 - 44317501*r**3\/7 - 93150*r**2\/7 - 7*r = 0. Calculate r.\nAnswer: -49, -1, -1\/950, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 - 13*s**2\/2 - 6*s.\nAnswer: -s*(s + 1)*(s + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 175915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {p: 7, k: 7, w: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185)\/(-592)*-8*(-108)\/(-10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 10 + (1 - 4). Let x(a) = -6*a + 5*a**2 - 2*a**3 - 3*a**2 - v*a + 7*a**2. Let g(l) = -l**3 + 4*l**2 - 6*l. Let f(t) = 13*g(t) - 6*x(t). Give f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1683 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 8*m**3 + 5*m**2 + 14*m.\nAnswer: m*(m - 7)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.12 + -23. Let c = d + -3.12. What is the smallest value in 7, c, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(147) + 1)**2.\nAnswer: 84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*t. Let w = 2 - t. Find the third derivative of 2*c**2 + 2*c**2 - 3*c**5 - c**w - 2*c**2 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*r = 36. Let n(m) = -m**3 + 9*m**2 + 2*m - 14. Let x be n(r). Suppose 13 - 13 - 2*g**2 - 2*g**x - 4*g**3 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -712747*b + 1056172.\nAnswer: -712747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, -73 in descending order.\nAnswer: 4, 2, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 5*z + 2. What is the lowest common multiple of g(-1) and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 19*z**2 + 17*z + 11. Give b(5).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.3109 micrometers in millimeters?\nAnswer: 0.0313109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005482 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 19 + 25 + t**2 - 26*t**3 - 4 + 7*t + 4*t**3 + t**4 to the form b + g*t**2 + r*t + l*t**3 + h*t**4 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1341.8 to the nearest 10.\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) + -4*(sqrt(76) - (sqrt(76) + sqrt(76) + 1)) + sqrt(76) + (-1 + sqrt(76) + 3 - sqrt(76) - sqrt(76)) + 3 + (-1*sqrt(76) - sqrt(76))*4))**2.\nAnswer: -108*sqrt(19) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -20 (c) -1 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828295*b**2 + 828295*b**2 + 307*b**3 + 208*b**3.\nAnswer: 515*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 29. Let a = -20 - r. Suppose 2 = -2*g + 4, 39 = 5*q - g. Solve -5*y = 20, 3*k - a*y - 28 = q*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:40 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + 0.9. Let z = 51 + -51.2. What is the smallest value in 2\/3, l, z, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229 + -177. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (11 + -34 + -17) - (-2 + 14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 45*x**2 + 36*x - 84.\nAnswer: 3*(x - 1)*(x + 2)*(x + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (10 - 12)) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -1195, -3967, -9385, -18337, -31711, -50395, -75277?\nAnswer: -107245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/7 - 24*m**3\/7 + 50*m**2\/7 + 132*m\/7 - 160\/7 = 0.\nAnswer: -2, 1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697*q**2 - 2090*q**2 + 696*q**2 + 695*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/3 + 5*u**4\/3 - 4*u**3 - 68*u**2\/3 + 32*u\/3 + 64 = 0.\nAnswer: -4, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 8 - (-2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88*q + 83*q - 855 - 610 + 4*q**2 + 3*q**2 - 13*q**2 wrt q?\nAnswer: -12*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7145236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 5*l**4\/4 - 7*l**2 - 9*l. What is the derivative of x(m) wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 109*k**2 - 694*k - 17. Is f(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 3. What is the tens digit of l(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5559005000 to the nearest one million.\nAnswer: -5559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89340348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let x(l) = 58*l**2 - 2. Let p(u) = 2. Let v(j) = 2*p(j) + 2*x(j). Calculate w(v(b)).\nAnswer: -116*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3207648 plus -0.3?\nAnswer: 0.0207648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1111 and 35622397?\nAnswer: 391846367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4840394 and 25\/2243?\nAnswer: 4840394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + -174. Put k, -10, 5 in descending order.\nAnswer: 5, k, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 7388713\nAnswer: -14777426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r. Let z(y) = 170*y. What is z(k(h))?\nAnswer: 1190*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9961, -9961, -9951, -9925, -9877, -9801?\nAnswer: -9691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -19*x + 113. Let s be m(3). Solve -43*g = -185 + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9 - 27. Let n be 55\/22*(-8)\/(-10). Solve n*i = z + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**2. Suppose -12 = -2*l - 4*s, -4*s + 12 = 4. Let a(h) = 23*h**2 - 67*h**l + 29*h**2 + 23*h**2. Give a(m(g)).\nAnswer: 392*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*q - 160*q + 84*q)*(8 - 21 - 16).\nAnswer: 2784*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3174, 6785, 12806, 21237, 32078, 45329, 60990?\n\"Answer: 1205*q**2 - 4*q + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 1. Let z(k) = -16*k - 4. Suppose 13*t - 35*t + 11*t + 121 = 0. Determine t*c(n) + 2*z(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003408845 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 2*p**4 + p**4)*(5*p - 2*p - 2*p) - 5*p**5 + 2*p - 2*p.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 5. Let v(i) = 2. Let o(f) = -1. Let h(q) = -o(q) - v(q). Let m(r) = 1. Suppose -3*l = 10 - 4. Let n(b) = l*m(b) - h(b). Give -3*n(x) - u(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**4\/4 - 5*n**3\/3 - 7*n**2\/2 + 2*n - 2. Suppose 0 = 5*p - 12 + 37. Calculate the remainder when r(p) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -x + 5, 5*l + 38 = 3*x + x. Suppose x*r + 3 + 25 = 0. Let c(m) = m**3 + 4*m**2 - 3*m - 1. Give c(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f - 4*f)*(2 - 2 - 1 + 0 + 2 + 0 + (1 + 0 + 0)*(1 + 0 - 2) - 4 + 6 - 1 - 3 + 6 - 1).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 15. Suppose 3*s + 3*t = v - 3, 5*s + 31 = 4*t. Let q(j) = -j**2 - 4 + 2*j**2 - 2*j + 4*j. Calculate q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.3, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:07 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14409435*j**6 - 8*j**2 - 23889?\nAnswer: 1729132200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*a - a = -7, 2*t - a = 7. Suppose -g + 12 = t*g. Which is greater: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1022 divide 51373896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7697 in -3, 67.91, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2. Let x(u) be the first derivative of -u**4\/12 - 3*u**2\/2 - 4. Let t(w) be the second derivative of x(w). Give t(s(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -1)*(2 + -1). Suppose -9*n + 12*n = 24. Let d(q) = -2*q + 11. Let a be d(n). Sort -3, a, i.\nAnswer: a, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361480\/19365*(-27)\/(-12)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1166 + 109. Round v to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.978 kilometers in meters?\nAnswer: 501978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -380000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 332872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14702037 from -1.2.\nAnswer: 14702035.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12972224 by -19.\nAnswer: 12972224\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1248, -1241, -1230, -1215, -1196, -1173, -1146?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28379273?\nAnswer: 13, 17, 128413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 + 2*o + 3. Let i be a(3). Let w be 20\/1 + i + -6. Let v(q) = 8*q - 181. Let x be v(23). Solve -x + w = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402 divided by -7.\nAnswer: 402\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/1083 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 577.44425.\nAnswer: 577.84425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4\/3 + 110*w**3\/3 - 255*w**2 + 540*w.\nAnswer: -5*w*(w - 9)**2*(w - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -1 - 32 - (-28 - -8)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(-45*u - 23*u - 44*u) to the form j + d*u and give d.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4066037058 to the nearest integer?\nAnswer: 63765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 64*l**2 - 318*l + 1719. Calculate y(-58).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/(-12))\/(-20))\/((-7)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33515 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -5895375.\nAnswer: -2\/5895375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -352438975 greater than -352438974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c - 1. Let l be o(-1). Suppose -15*j - 12 = -11*j. What is the units digit of (2 - -6) + l*j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(114)\/(2*sqrt(6)) + 2*sqrt(19) + -5 + (-1*sqrt(475))**2*-3.\nAnswer: -1433 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 12 + 6\/2. Let s be 8\/14 - 22\/l. Let t = 4 - 3. Which is the nearest to s? (a) t (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209 - -213. Is (-5585 + n + 0)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 17*d - 3*d + 69*d**3 - 3*d - 3*d - 10*d in the form x + k*d + g*d**3 + q*d**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-2 - (7 + -6)). Let j(s) = -2*s**2 - 5*s + 4. Calculate j(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/5808 and 83\/660.\nAnswer: 29040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 6. Let m be n(-5). Let q = -6129 + 6219. What is the highest common divisor of m and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-3)*(-51)\/3 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*i + 1117 + 131 = 12*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -18*h - 405. What is l(-21)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 297944639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 1. Let w(s) = -7*s**2 - 6*s + 13. Give 6*a(y) + w(y).\nAnswer: -y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 818, 111, 0.26, 3 in descending order.\nAnswer: 818, 111, 3, 3\/7, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -29409226 divided by 5054\nAnswer: -5819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 13*l - 7*l + 13*l.\nAnswer: -7*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.779*-1.\nAnswer: 42.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - y**2 - y + 1. Let f(u) = 8*u**3 + 5*u**2 - 3*u - 6. Suppose -121*i - 299 = -164*i - 256*i. Determine i*f(a) + 6*d(a).\nAnswer: 2*a**3 - a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028.29 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 34. Suppose -k - 5*g + 5 - 32 = 0, 3*g + 9 = 3*k. Let b(z) = -4*z + 35. Let v(q) = k*b(q) + 3*t(q). List the prime factors of v(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1252073, -1252110, -1252145, -1252178, -1252209?\nAnswer: -1252238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -3*q - 4*z, 2*q + 16 = z - 4. Let r(n) = -3*n**2 - 41*n + 12. What is r(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110000?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18547 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 301070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (29\/4)\/(((-456)\/96)\/(-19))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*p + 29, 0*b = 3*b + 5*p - 47. Calculate the smallest common multiple of b and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-6 - (-26 - -12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -3, 13, 35, 63?\n\"Answer: 3*v**2 + v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 217225007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3128 + 20205. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 3892?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -16*y**3 + 2*y**2 + 10*y + 19. Give u(-2).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 644882 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 459, 460, 461, 462?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*h*w**5 + 2457*h*w**2 - h*w - w**3 + 1922970*w wrt w?\nAnswer: -2960*h*w**3 + 4914*h - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1860 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**4 + 17*h**3 + 43*h + 2.\nAnswer: 72*h**2 + 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**3 - 9*s**2 + 15*s - 2. Let c(p) = -19*p**3 - 21*p**2 + 35*p - 5. Let a(j) = -3*c(j) + 7*u(j). Determine a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123767 is divided by 127?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19.288 or 781?\nAnswer: 781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 2\/11, -1\/9, 12, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -3)\/((-8)\/(-16)). Let v(s) = -5*s - 7 - 133*s**3 + 132*s**3 - 2*s**2 + r*s. Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/2*(-168)\/(-10). What is the highest common divisor of 210 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhu. What is prob of sequence uuh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 4*q**7\/735 - 1303*q**6\/84 + 1178853*q**5\/70 - 213175827*q**4\/28 - 53367669*q**3\/7 - 104*q**2 + 2*q. Factor o(m).\nAnswer: 2*(m - 543)**3*(4*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.157 rounded to 1 dp?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**7\/63 - 13*g**6\/144 - g**5\/4 - 35*g**4\/24 - g**3\/6 - g**2 - 16*g. Let m(u) be the second derivative of k(u). Factor m(r).\nAnswer: 5*(r - 2)*(8*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17 + -16)\/((-1)\/(-4)). Suppose -4*y = -3*b + 48, -2*b + 0*y = -c*y - 36. Calculate the smallest common multiple of 210 and b.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 40, 51, 48, 25, -24?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3 + 124701*c**2 - 1371402*c + 2244024 = 0.\nAnswer: 2, 9, 41556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -86. Let m be -12 + 8 + 8\/(2 + o). Differentiate m*g - 15*g + 16 - 13 - 9*g wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 4*r + r)*(-3 + 2*r + 3)*(14455*r + 6 + 16 - 41 + 19) as c + d*r**3 + j*r + m*r**2 and give d.\nAnswer: 57820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299302047 and 27209277.\nAnswer: 299302047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1136, 1138, 1128, 1100, 1048, 966, 848, 688?\n\"Answer: -o**3 + 9*o + 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165, -641, -1435, -2547, -3977, -5725?\n\"Answer: -159*h**2 + h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22450*h*v**4 + 21771*h*v**2 + 176*h - 604*v**5 - 1 wrt v.\nAnswer: -538800*h*v - 36240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11599494*b. Let g(n) = 1873*n. Calculate -18580*g(z) + 3*q(z).\nAnswer: -1858*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54059 and 11?\nAnswer: 594649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 118 (b) -0.233765 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.461327567956 - -0.01.\nAnswer: 2.471327567956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*(324\/9)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**3 - 113365913 + 113365913.\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 357*y**5 + 6078*y**2 - 78*y + 25165 wrt y.\nAnswer: 7140*y**3 + 12156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zclz when four letters picked without replacement from {n: 7, j: 2, z: 2, c: 2, l: 7}.\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.1. Let g = f + -0.3. Let y = -129\/776 - -4\/97. Which is the biggest value? (a) g (b) y (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 54?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2614 (base 12) to base 7.\nAnswer: 15433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*x = 39, 0 = 63*a - 62*a + 44*x + 167 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + -179. What is the tens digit of (u\/(-10) - 4)*95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/21, -33\/205, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53012.44 kilometers?\nAnswer: 53012440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b4 (base 12) in base 8?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -14*w + 284. Let x(z) = z + 21905. Calculate x(o(a)).\nAnswer: -14*a + 22189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 - 8*h - 4. Let s(x) = 9*x - 4589 + 4594 - 5*x**2 + 13*x**2. Calculate 6*s(m) + 7*v(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.256 (b) -41 (c) 0.0861\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 25, 4*t = g - 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 80 - 96 - 7*o + 11*o + 0*o + 198.\nAnswer: 3*o + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -187.415, 0.6 in descending order.\nAnswer: 3, 0.6, -187.415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 260, 542, 896, 1358, 1964, 2750, 3752?\n\"Answer: 6*m**3 + 240*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2751\nAnswer: -1\/917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 8*m**2 + m + 10. Let s be j(-8). Let d(r) = -r**s - 7 + 7. Let t(c) = -4*c**2 + 2*c**2 - 4*c**2 - 2*c**2 + 2*c**2. What is d(t(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = -2*p, r + 4*r + 20 = p. Let q(h) = -h - 7. Let c(z) = 3*z + 20. Let i(s) = 4*c(s) + 11*q(s). What is i(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 divided by -110333?\nAnswer: -1217\/110333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 3*u**2 + 7*u - 6. Let b be g(4). What is the second derivative of 9*i + 9*i**4 - b*i - 8*i wrt i?\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*c**2*i**2*l**3 + 2627*c**2*i*l**3 + 15*c**2*l**2 + c**2 - c*i**2*l**2 + 4*c + 2*i**2 + 2*i*l**2 wrt l?\nAnswer: 66*c**2*i**2 + 15762*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -50 + 33 + 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 2702*g**3 + 15*g + 2705*g**3 - 5459*g**3.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23445311 (base 6) to base 5\nAnswer: 142043243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, 0, 1 in ascending order.\nAnswer: -20, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.8. Let m = o - 6.5. Let d = -5.92 - m. What is d rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 86*i + 49. Determine p(40).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(28))**2*3.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/110 + 4\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -859*m**2 - 185*m + 1723*m**2 - 860*m**2 + 526*m to the form y*m + u*m**2 + x and give y.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1598*n + 7109. Calculate y(5).\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-6)*(-1 - -7) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4397 = -2*v + 7, -5*v = i - 11010. Suppose 690 = -3*l + v. Let j(w) = -w**2 - l + 504. Let y(g) = 23*g**2. Calculate j(y(m)).\nAnswer: -529*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5 - 4*d - 7 + 5*d. Let s(m) = -m + 11. Let v(i) = 5*b(i) + 6*s(i). Let k be v(6). Solve k*n = -4*a - 5*n, 2*a + 3*n + 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34502*l + 8623*l + 8622*l + 8629*l + 8626*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 300723, 300757, 300823, 300927, 301075, 301273, 301527, 301843?\n\"Answer: u**3 + 10*u**2 - 3*u + 300715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1492 and 61166\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1678831g?\nAnswer: 0.0001678831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/(-6) - 2457\/(-624) and (67\/(-6))\/((-62)\/(-6) - 1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-8)\/32*2\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 - -3 - (33 - 28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3017\/6 or 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(-5*sqrt(27))*5)\/(-3*sqrt(192) - sqrt(3)*3*2))**2.\nAnswer: 1\/4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -18*r**3 + 2*r**2 + 3*r + 3. Let v(p) = -p**2 - 2*p + 10. Let f be v(-4). Let i be (96\/(-26))\/f - (-16)\/(-104). List the prime factors of o(i).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 16 = 4*p - 0*s, -s - 19 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(5*(sqrt(36) + sqrt(180)\/sqrt(5))\/sqrt(3))\/((sqrt(16)\/(sqrt(4)*2) + sqrt(4))*3).\nAnswer: -200*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -1\/3*w**3 - 2*w - 2 + 0*w**2. What is p(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475801323?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 120995.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*j + 4*j. What is the lowest common multiple of (31 - 7)\/(-1 - -2) and (-3*(2 - j) - 1) + 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6902\/(-261) + 26)*(-5)\/(5\/36)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 14*h = 3*m + 17, 0 = 2*m - 3*h + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4832 - -4830. Let l be (2 + 0)\/(-2)*1. What is the third smallest value in z, -0.5, l, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(245) + sqrt(245) + -3)**2 + (sqrt(5) + sqrt(20)\/(sqrt(4) - sqrt(64)) + 5)*-1.\nAnswer: -422*sqrt(5)\/3 + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6111*o + 6122*o = 242 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 1072?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2504273\/7 + 357815. Factor 24\/7*x**3 + 4\/7*x**5 - 32\/7*x**4 + 1296\/7 + c*x**2 - 1404\/7*x.\nAnswer: 4*(x - 3)**4*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y**3 + 8*y**2 - 5*y + 2. Let v(t) = 2 - 112*t**2 + 107*t**2 + 8*t**3 - 3 + 3*t - t**3. Determine -5*o(s) - 8*v(s).\nAnswer: -s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3 + 2 - 1)*(-3*t**4 + 0*t**4 + 5*t**4).\nAnswer: 2*t**5 - 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -204 + 176. Let q = 33 + h. Solve -q*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 + 5*d - 2 + 7*d**2 - d**2 - 3. Give l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5))**2\/(v**(-1)*v*v\/v**(2\/13)*v)*(v**(4\/7)\/v**5)\/(v**(-2\/21)\/(v*v**(3\/7))) assuming v is positive.\nAnswer: v**(-7031\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (641 - 630) + 21.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/(i**(-14)\/i))**(8\/5) assuming i is positive.\nAnswer: i**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-9)*-818*9\/(-24). Let g = c - 200. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2304 (base 5) to base 3.\nAnswer: -110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpr when three letters picked without replacement from {k: 1, p: 2, b: 1, n: 1, r: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*m = -148, 89 = -2*h - 3*m + 237. Suppose -o = -3*g + h, -3*g - 97 = -7*g + o. Calculate the common denominator of g and 245\/18 - 10\/(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let o be r(5). Suppose -4*n - 3*j = -9*n + 16876, 0 = -3*n - o*j + 10137. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -207820.8 to the nearest one thousand.\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 3*g. Let x = 79 - 78. Let s = -2 - -5. Let c(u) = -u**2 + u. Calculate s*c(m) + x*r(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-196)\/4)\/(-1) + -8. Suppose y*r - 29*r = -24. What is the fourth biggest value in 2\/5, -18, r, 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 251*k - 53145. What is q(212)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 24 = 24*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*d - 5*d = -3508884. List the prime factors of d.\nAnswer: 2, 3, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-690)\/(-1035))\/((-41)\/1066).\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3582709 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*m + 7*m - 4*m)*((2 + 3 - 3)*(-3 - 1 + 3) - 6 + 3 - 10) to the form y + v*m and give v.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:28 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 4, -4, -744, 1, 5 in descending order.\nAnswer: 5, 4, 1, -4, -21, -744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01262 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71032303 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 - 71*y**3 - 258*y**2 - 308*y - 120 = 0. What is y?\nAnswer: -6, -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 156.2517 and 3?\nAnswer: 468.7551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 818, 1622, 2436, 3266, 4118?\nAnswer: 4998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 15 + 82 = -u, 5*u - 4*o + 349 = 0. Let t be (-4 + 0)*u\/(-12). List the prime factors of t\/(-7) + 2\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -48*z**3 - 20*z**2. Let d(r) = -7*r**3 - 3*r**2. Calculate 20*d(o) - 3*g(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*k**3*n - 24*k**3 + k*n + 3*k - 212577*n wrt k?\nAnswer: 42*k**2*n - 72*k**2 + n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7699 - 4572. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyyiyyyyyiii. Give prob of picking 2 y.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -182696 and -2.\nAnswer: 365392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -529600 plus -0.6851017?\nAnswer: -529600.6851017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkmskssssksmssk. Give prob of sequence mss.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - t + 306, -58 = m + t - 210. Is 28 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36311?\nAnswer: 11, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 646 (base 9) to base 2\nAnswer: 1000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9848 is divided by 821?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h*h**(8\/3)\/h))\/h**3)\/(h**1)**(-33) assuming h is positive.\nAnswer: h**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/18 + 4\/(-18). Solve 3*a - 3 = -5*d, -4 = 2*d - 3*a - h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 238379 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (9 - 4)) + (-32 - (3 + 7))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15707.18 + 488989\nAnswer: 473281.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5113670.\nAnswer: 1\/1022734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -167? (a) 1\/2 (b) -4 (c) -12\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 364*r - 4376. Give p(-169).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1526997.\nAnswer: 3053994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gykg when four letters picked without replacement from vjgyjvykykyg.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -56*z + 49*z. Suppose -4*i - 3 = z*p + i, i = -p. Calculate the greatest common factor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3678 + 3678 + 235*t**2.\nAnswer: 235*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**3 + 4*c**2 - 8*c + 4. Let x(j) = 2*j**3 + 3*j**2 - 7*j + 3. Give -3*p(n) + 4*x(n).\nAnswer: -n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a - 6 = 0. Let s(v) = 3*v**2 - v - 2. Let w be s(a). Suppose 2*h + 43 = 3*l, -3*h + 4*h = -5*l + 89. Solve -w = 5*g + l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 10*m**2 - 5*m + 1. Is z(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a - 13. Let c be k(2). Solve -z + 6 = -r, -c = -r + 3*z - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -4*b**3 - 1\/45*b**5 - 11\/18*b**4 + 0 + 36*b**2 + 0*b. Factor n(w).\nAnswer: -4*(w + 2)*(w + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - ((13 - -1) + -4) - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3055 = -5*u, -5*u + 2*j = 4*j - 3060. Let b = 402 - u. What is b rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.143 - 0.054687?\nAnswer: -2.197687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5493 + 4549 = 59*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 9*w**2 - 39*w - 12. Let a be p(-12). Suppose -9*t = -7*t - a. Calculate the least common multiple of 2 + 9 - 2\/1 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -1 - (5 - 1)*-1. Suppose c = 5*z + 5, 0 = -2*r - 2*z + 143 + 287. What is the greatest common divisor of 36 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*h = -10439, -3*h = 21*x - 16*x - 10467. What are the prime factors of x?\nAnswer: 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 39*d + 104. Let k be s(36). What is the nearest to -0.1 in -0.2, 0.2, k, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11174 divided by 302?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 + 44 = y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/59? (a) -0.8 (b) 7 (c) 0.5 (d) 0.924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 4*t + 105. Let q be 6\/t + (-7)\/(-49). Which is the closest to 4\/5? (a) 1\/5 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, 179, 273, 369, 467, 567, 669?\n\"Answer: l**2 + 89*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-969)\/(-31008) - 6726\/192\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/2 - 4\/1. Let j(a) = -a**2 + 3*a**2 - 8*a**2 + 9*a + i - a**3 + a**2. Let z be j(-6). Is z greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 369*a**3 + a**2 - 7*a + 5. Let g be u(1). What is the greatest common factor of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 14*o - 20. Let k be d(-13). Let t(l) = -2*l - 10. Let w be t(k). Let h = 2 - 2. Which is the second biggest value? (a) h (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -4\/3, 2\/7, 13195?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1208 = t, -2*f - 2*t + 1198 = -6*t. Is (-8)\/(-12)*f\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7326, 7265, 7204, 7143?\nAnswer: 7082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -0.4, -63, 16.12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3 + m**2 - 10*m. Suppose -7 - 13 = -2*x. Suppose -6*k + k = -x, 4 = 5*c - 3*k. Calculate z(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606.7418 years to decades.\nAnswer: 60.67418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l - 5. Let g(p) = -23*p + 7. Let j(w) = 12*w - 4. Let a(n) = -6*g(n) - 11*j(n). Let r(q) = -3*q + 32. Let k be r(10). Determine k*y(c) + 5*a(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 27 = 3*u - 4*a, 23 = -2*u + 5*a. Let i(h) = -h**3 - 4*h**2 - 4*h + 2. Is 9 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1612 + 1625. Solve h = -14 + n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 32*r**2 - 131*r - 3254. Let t be z(-33). Which is the second smallest value? (a) -12 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.08631 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 - 17*b**3\/6 - b**2\/6 + 17*b\/6.\nAnswer: b*(b - 17)*(b - 1)*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2. Let k(n) = -16*n**2. Let r(y) = -2*k(y) - 11*w(y). Let x(m) = 4*m. Calculate r(x(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -143 - (-177 - -6)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 0 + 0 + (0*j + 4*j - 3*j)*(-5*j + 2*j + 6*j) - j - 10 + 5*j**2 + 5 + 4.\nAnswer: 10*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10187880 and 1226965.\nAnswer: 5815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -39 + 48. Solve 2*l + 1 = -3*c + 10, -a = -c - 2*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372 and 558?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2817 is divided by 141.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64295 is divided by 1128.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 923*w**2 + 12*w - 12. Let i(a) = -462*a**2 - 7*a + 7. What is -5*i(g) - 3*u(g)?\nAnswer: -459*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Let s = 117 + -116.21. Let o = s + -4.79. Which is the closest to 2\/9? (a) 2 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -25 (b) 0.3 (c) 3\/5 (d) 0.147947\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -27*h**2 + 838*h - 21. Give s(31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*n*r - 21*f*r**2 - 2*f - 108*n*r**3 + 5*r**3 with respect to n.\nAnswer: 3*f*r - 108*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -195 + 199. What is k in -25*k**c - 4*k**2 + 29*k**4 - 7*k**5 - 8*k - 53*k**5 + 68*k**3 = 0?\nAnswer: -1, -1\/3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.3 (b) 70 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -25*i**2 + 2*i - 251685. Let l(d) = 5*d**2. Give g(l(f)).\nAnswer: -625*f**4 + 10*f**2 - 251685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = 8. Let w = 8\/27 + -121\/135. Let t = w - -7\/20. Which is the second smallest value? (a) l (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 749224?\nAnswer: -1\/749224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-5) - 18\/(-45). Suppose -2*m = -v*m + 4. Solve m*z = -2*t, -4*t = 3 + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85650 is divided by 20685?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -905290*m + 5431754. Calculate q(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100891919*q + 225210100?\nAnswer: -100891919","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -38*(1\/(-2))\/1. Suppose -2*a = -4*a + 64. Let b = a - f. What is the highest common divisor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23063 - -0.11999722395\nAnswer: 23063.11999722395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and 204.\nAnswer: 17136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j - 6. Let b be u(1). Suppose -5*k + 2*k + t - 7 = 0, 4*t - 12 = -4*k. Put -29, k, 3, b in ascending order.\nAnswer: -29, k, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6902753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 8*r - 24. Let d be i(10). Let g = d + 40. Let m be (-46)\/(-207) - g\/(-18). What is the third biggest value in -1\/2, m, 1\/7, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 12 = 4*r, 4*t + 2*r - 16 = 6*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4698731*b - 2820874 wrt b.\nAnswer: 4698731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvcf when four letters picked without replacement from {c: 2, f: 7, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 1, j: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 8 = 0. Suppose -16*r + 25*r = 0. Solve r = 5*x + 2*w + 13, -4*w + 13 = -g*x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.29 and -136.\nAnswer: -136.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 6, 4 in decreasing order.\nAnswer: 6, 4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9687, -41240, -93829, -167454, -262115, -377812, -514545?\nAnswer: -672314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - 14*k - 2*k - 10*k - 2*k.\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5111952 and 83\/8430.\nAnswer: 25559760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/15 - 246*y\/5 + 736\/15.\nAnswer: 2*(y - 368)*(y - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -2. Let w = c + -7. Suppose 0 = w*j - 5*m - 49, -5*j + 0*m + 52 = 3*m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31\/68 - 5\/17. Let o = 4.6 + -0.6. What is the closest to -1\/3 in a, -4\/5, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p - 9. Let a(z) = 49*z - 1. Let j(l) = 41*l - 1. Let y(g) = 5*a(g) - 6*j(g). What is -i(s) - 6*y(s)?\nAnswer: -6*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/19 in -1\/9, -0.3, -1\/10, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537449386 plus -1?\nAnswer: -1537449387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**3 + 5*k**2 + 5*k + 6. Let r(u) = -6*u**3 + 4*u**2 + 5*u + 6. Calculate -4*l(n) + 5*r(n).\nAnswer: 2*n**3 + 5*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -71. Suppose 20 = -2*j - 3*y, -j + 2*y - 12 = 4*j. Let q be 28362\/203 - j\/14. What is the highest common factor of q and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6105, -6120, -6163, -6246, -6381, -6580?\n\"Answer: -2*t**3 - 2*t**2 + 5*t - 6106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Two letters picked without replacement from {o: 5, z: 1, j: 1, h: 4, l: 1}. Give prob of picking 1 o and 1 l.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517905 and 93330?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1623*a + 12. Let o(i) = -3248*i + 29. Calculate 5*l(x) - 2*o(x).\nAnswer: -1619*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1743761 is divided by 250?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2622 and 3989028.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7765*w**2 - 17263*w**2 - 2372*w**2 + 2790*w**2 - 3095*w**2)*(-7*w**2 + w**2 + w**2).\nAnswer: 138525*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 10588532, 1, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -49*k**3\/3 + 11200*k**2 + 3201*k + 686\/3 = 0.\nAnswer: -1\/7, 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29072163?\nAnswer: 3, 9690721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22150424976 + 1.\nAnswer: -22150424975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/379805 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + 3*c, 0*c = -w - 5*c + 7. Let p(a) = -1 - w + 4 + 4*a - 2*a. Determine p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -11*j**5\/15 - 1951*j**2. Let v(o) = 2*o**2. What is v(y(t))?\nAnswer: 3872*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 12*t**2 - t. Let i be o(-12). What is the highest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338b (base 15) to base 16.\nAnswer: 2ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(45) + 1)*2 - (-2 + sqrt(605)*-1)).\nAnswer: 20 + 85*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -212\/7? (a) -4 (b) 3 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 0.5 (c) 2.34 (d) -0.3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33599861*t - 25046947 with respect to t.\nAnswer: -33599861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 + 11*i - 4. Calculate y(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 21*s - 15*s - 19*s. Let w(q) be the third derivative of -q**5\/5 - 2*q**2. What is l(w(o))?\nAnswer: 156*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 3. Let u*z**3 + z - 2*z**2 - 5*z + 3*z**3 + 2*z**4 - 18*z**5 + 16*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13*135\/2340)\/(4\/((-64)\/(-270)))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000275 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 38*w**2 + 3*w + 56. Let y be f(-19). Which is the second biggest value? (a) 4 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**7\/u))\/u**5)**(5\/4)\/((u**(2\/7))**(41\/4))**(-43) assuming u is positive.\nAnswer: u**(794\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*(3 + 5*(sqrt(128) + 2*sqrt(128))) + 5)*5 + 1))**2.\nAnswer: 3360000*sqrt(2) + 72078400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2534215421 + -44?\nAnswer: -2534215505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**4\/7 + 64830*g**3\/7 - 259218*g**2\/7 - 64830*g\/7 + 37032 = 0. What is g?\nAnswer: -1, 1, 4, 10801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 10:13 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 78*z + 75. Let r(n) = -7*n**2 + 155*n + 149. Let i(p) = 6*r(p) - 13*v(p). Suppose i(a) = 0. Calculate a.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50109976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 7*s + 3. Let w be l(7). Suppose w*h = -4*i + 24, h + 8*i - 19 = 3*i. Calculate the remainder when (-2 + 19)\/(2\/h) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/360 + 13*p**5\/120 + 3*p**4\/8 - 47*p**3\/6 - 15*p**2. Let z(t) be the first derivative of u(t). Give z(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + (-9 - (-19 - -7)) - -12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0 + 1\/12*f**5 - 50\/3*f**3 + 0*f + 95\/24*f**4 - 64*f**2. Factor u(d).\nAnswer: 5*(d - 1)*(d + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4\/3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*s**2*t**3 - 5*s**2*t + 162*s**2 + t**3 wrt t?\nAnswer: 54*s**2*t**2 - 5*s**2 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r = 35*r - 5*x - 8, -220*r + 5*x = 1330 + 701 + 1684 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**10\/5040 - v**6\/180 - v**3 + 3. Let m(k) be the third derivative of j(k). What is the third derivative of m(a) wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggsgggsggbgggbgbg. What is prob of picking 2 g?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/1107*(-1 - (-5)\/20)*-4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244320 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 29 + 107*r - 42*r - 34*r - 35*r. Let j be t(6). Suppose 4*b = -j*v + 1, -2*b + 6 = -4*v - 14. Solve -2*m - b = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 2190 = 178*x + 18*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 158, 315, 472, 629, 786?\n\"Answer: 157*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-4) - 6) + -1. Let l be (-4)\/10 - d\/40. Let z = -0.328 - -1.328. Which is the nearest to z? (a) 1 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.785 - 0.285. Let w = o - -12. Let n = -1.07 - w. Which is the closest to 2\/9? (a) n (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -1\/2 (c) -1.8 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 150 = 4*j + j, -4*j - 3516*u + 148 = -3521*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*j - 2*i, 0 = 4*j - 4*i - 5 - 15. Let y be (2 - -2)\/(6\/j). Suppose -y*w - 8 = -10*w. Solve w*m = -4*p + 2, -3*m + 3*p - 8 + 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 886 = -0*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.565046 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008771153 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 13, 0.04 in decreasing order.\nAnswer: 31, 13, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40086522 divided by -11034?\nAnswer: -3633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20001032222 (base 4) to base 5\nAnswer: -1014232221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3442 - -3432. Put d, 0, 3\/8, 2, -6 in decreasing order.\nAnswer: 2, 3\/8, 0, -6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (3 + 2)) + (2 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 41 = -3*r, l + 3*r + 3 = 1. What is the remainder when 36 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 4\/3 (b) 5 (c) 1 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9*m = -15. Let r(f) = m*f + f - 3*f - 1 + 6*f. Suppose 5*v + 22 = 3*a, -4*v - 25 = 4*a - 1. Give r(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, q: 7}. What is prob of picking 2 q and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-14))\/((4\/(-7))\/(-4)). Suppose -20878 = -y*q + 15072. Suppose 12266 = 13*m + q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37645.73 nanograms to kilograms.\nAnswer: 0.00000003764573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 226545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*j + 7*j = -266, -238 = -5*x - 3*j. What is the greatest common factor of x and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:04 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18214, -18112, -17836, -17296, -16402, -15064?\nAnswer: -13192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67912 is divided by 714.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -4*(sqrt(20) + -1 + sqrt(245) + -1)).\nAnswer: -45 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100001001010111?\nAnswer: 100001001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -16. Let o(q) = q**3 + q**2 + 3*q + 2. Let b(t) = 2*t**3 + 3*t**2 + 7*t + 5. What is l*b(r) - 10*o(r)?\nAnswer: -2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 less than -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47\/63 - 13\/18. Find the common denominator of -20\/21 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 106*b**2 + 70635*b + 985. Give d(-324).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -35*h + 2*h + 177975. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*f + 2*f - 190, -5*f = 4*y - 155. Let c = y - 31. Solve -4*w + c = 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (74\/(-26) + (-76)\/494)*371921\/(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52268 (base 9) to base 16\nAnswer: -86b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*32\/(-16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 23647*m**2 + 64*m - 9. Let i(f) = -5912*f**2 - 16*f + 2. Let d(s) = -2*g(s) - 9*i(s). Let p be d(6). What is p rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.2. Which is the nearest to 1? (a) 0.2 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11082449159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431396, -862794, -1294192, -1725590?\nAnswer: -2156988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*l + 12, -5*v = -4*l - l - 60. Suppose 8 = -a + v. Solve a*f - 5*b - 11 = f, -5*b = 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 26.5. Let p = 461 - 450. What is the second smallest value in p, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 4*x**7\/7 - 2*x**3\/3 - 26*x. Find the second derivative of v(z) wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -522611 (b) -245 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 5*p + 12. Suppose 5 + 15 = -4*a. Let u be z(a). Suppose -u*c = -6278 - 7390. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 1. Let z(k) = k**2 + 5*k + 5. Let l(p) = 5*x(p) + z(p). Let u(s) = 5*s**2. Determine l(u(y)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 198*r**2. Suppose -3*b + 202 = 4*l, l + 4*l + 5*b - 250 = 0. Let p(v) = 52*v + 52*v - 154*v + l*v. Give p(h(x)).\nAnswer: 396*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608, 4825, 16268, 38549, 75280, 130073, 206540?\nAnswer: 308293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22349529 to the nearest integer?\nAnswer: 4728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 6*l**2 + 5. Let a be g(-6). Let x be ((-1)\/1 + a)\/2. Suppose 0 = -4*f + 16, 3*f = x*d - d + 12. Solve -t = -d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*5\/(0 - 5). Suppose 3*d = 10 - 1. Let b(t) = 3*t**2 + 3*t + t**2 + t**2 + t**d - 4*t. Give b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (1 - (7 + (8 - 11) + 2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -8437*i**5\/5 + 8943*i**2\/2 + i + 3638. What is the second derivative of m(w) wrt w?\nAnswer: -101244*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Let m be (-24)\/20*5\/(-2). What is the first derivative of 2*g**m + 2*g + k - 2*g - g**3 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 2. Let c be x(3). Let f(w) = w**3 - 4*w**2 - 7*w - 5. Let t(i) = 4*i**3 - 12*i**2 - 24*i - 15. Let b(q) = -7*f(q) + 2*t(q). Determine b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/5 and ((-26)\/(-45))\/((-5)\/(-50)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27698?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 136*a**4 + 65*a**3 + 3*a + 646231 wrt a?\nAnswer: 544*a**3 + 195*a**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42680 by 4.\nAnswer: -10670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 6, i: 7}. What is prob of picking 2 v?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37702634*c**2*o - 21907*c*o + 361*o wrt c.\nAnswer: 75405268*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 3*v + 131. Let j be f(13). Let g(u) = 5*u - 11. Let i be g(j). Let t(m) = m**3 + 5*m**2 - 7*m - 6. Calculate t(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 - -290. What is the remainder when z is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2647, -4 in descending order.\nAnswer: 2647, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22222*v*y**2*z**3 - v*y*z**3 - 6*v*y*z + 7*y*z**3 - 27*y*z**2 + 2*z**2 wrt y?\nAnswer: -44444*v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 8*d**2 - 3*d + 31. Let q be x(-7). What is the closest to 0 in -4, q, -2\/9, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66.61 + 67. What is b rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372820000 rounded to the nearest 1000000?\nAnswer: 373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 12:02 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -1\/16*p**2 - 71 - 1\/24*p**3 + 0*p. Factor b(i).\nAnswer: -i*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(4224\/(-40)))\/(20*(-2)\/16).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96377, 190953, 285529, 380105, 474681, 569257?\nAnswer: 663833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 9 + (-1 - (1 - 6) - 14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*p - 3, 0 = -5*p + 2*p. Let w be ((d*-2)\/3)\/2. Let n be w\/3*(-4 + -9). Is 5 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 464564.3 years?\nAnswer: 4645.643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -21113.\nAnswer: 6\/21113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-163 + 163 + 23*b)*(-1 + b**2 + 1) in the form u + x*b + d*b**2 + k*b**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4.4*0.5\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 16. Let c = 9 - q. Suppose 23 = k - 2*t, -4*k + c*k = 2*t - 19. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a + 2 = 2*o, 0 = -2*a - 2*o + 12. Suppose -a*h - 28 = -l + 2*h, -4*h = l - 4. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-20) + (-32)\/(-130). Which is the closest to -0.1? (a) -2\/9 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 15. Let t = g - 6. Let u be 1\/2*t + 1. Solve c = -c - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -0*u. Let q = 37 + -97\/2. Let g = q - -317\/30. Do g and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35201180071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1112021111 (base 3) to base 16\nAnswer: 758b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 5:35 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12750 and 13133775?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3234 and 22638.\nAnswer: 22638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-5)\/(5\/2). Let n be 1\/(i\/(-182)) + 0. Let q be 2086\/154 + (-18)\/33. Calculate the highest common factor of q and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0*q + 2*q + 13 + q**2 - 19. Let m = 10 - 15. What is k(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105267531 to the nearest integer?\nAnswer: 10260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -21. Suppose 2 - v = 4*d. Let h(k) = -k**3 + 2*k**2 + 2*k - 2. Let a(q) = q - 1. Let l(t) = d*a(t) + h(t). Suppose l(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*s**2 + 33*s**2 + 42*s**2 + (-1 - 3 + 2)*(-4*s + 3*s + 0*s)*(s + 0 + 0).\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/3437560 and -133\/1473240.\nAnswer: 10312680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 561038638 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*n - 21 - 9, -5*n - 24 = -4*r. Suppose -17 - 1 = -3*y. What is the lowest common multiple of r and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 483\/5 - 96. Solve r + 3\/5*x**2 - 6\/5*x = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163336933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in -0.3, 2\/61, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keoo when four letters picked without replacement from {o: 2, k: 4, x: 5, e: 2}.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.2 + 52.2. What is the second smallest value in 3, 2\/7, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -15*g + 12*g. Suppose 4*t + 5 = -3*a - 2, g*a = t + 13. Solve -a*y + 3 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r. Let g(t) = t + 5. Let c(p) = p - 5. Let m(i) = -3*c(i) - 2*g(i). Calculate b(m(a)).\nAnswer: 75*a - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4608 and 59\/12060.\nAnswer: 1543680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - 28\/(-48)*(-528)\/(-1408)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 491*j. Let o(u) = -5*u. Determine f(o(k)).\nAnswer: -2455*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 879, 968, 1117, 1326?\n\"Answer: 30*l**2 - l + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**2 + 6*q. Let v be u(-2). What is the highest common divisor of 154 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 + -6 + -11 + (24 - 17)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1.98 (b) 0.4 (c) 5 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 + 2*r - 2. Let m(z) = -32*z**3 - 7*z**2 - 25. Let b(f) = -m(f) + 7*p(f). Find the second derivative of b(j) wrt j.\nAnswer: 150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*t = 713*t + 872 - 18 + 4522 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 0*j + 2*j - 5*j + 21*j + 2*j - j + 2*j + j + (-5 + 3 + 4)*(-3*j - j + 6*j).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, 1494.9.\nAnswer: -2, 1\/3, 1494.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.005 - 178892024.\nAnswer: -178892016.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -100?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 326, -3, -5, -7 in descending order.\nAnswer: 326, 4, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 2. Let r be i(2). Suppose 6*w + 20 = r*w. Suppose w*v - 144 = -54. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16544641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26684 = -2*j - 4*h + 7782, -h - 6 = 0. List the prime factors of j.\nAnswer: 5, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/9 - 106*a**3\/9 + 1456*a**2\/9 - 1352*a\/9.\nAnswer: 2*a*(a - 26)**2*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2)*(1 - 1). Let c(z) = -z - 1. Let f be c(-6). Suppose a = -5*o + 8, -3*a + f - 1 = -5*o. Solve j*s = a*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 16 = u, 7 = -2*u + 4*u - 5*t. Let a = u + -3. Let g = 9 - a. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = h - 11, 2*h + 2*h + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 0*w**3 - 7*w + 2*w**3 - 4*w as c*w**3 + m*w**2 + j + x*w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/27933 and -27\/136?\nAnswer: 3798888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6811053?\nAnswer: 3, 937, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 64 + 69 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {w: 2, o: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -658, -705, -782, -889?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111607 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + -3 + 6 + (5 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3 + -7 + (2 - 2) + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4362409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33743279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 143*g**8\/336 + g**6\/120 + 89*g**5\/60 - g**3\/2 + g**2 - 107. Find the third derivative of d(b) wrt b.\nAnswer: 8580*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433329.\nAnswer: 17, 143137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0225400273 to 6 decimal places.\nAnswer: -0.02254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/11)*f*f**(-2\/11))\/(f**(-2\/33))**11 assuming f is positive.\nAnswer: f**(58\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 - 10*t**2 + 10*t**2)*(53*t + 3*t - 3*t) + t**3 - t**3 + t**4 + (-4*t**3 + 0*t**3 + 6*t**3)*(2*t + 3*t - 3*t).\nAnswer: -260*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -6. Solve -3*u + o = 4*g, 5*u - 2*g - 3*g + 10 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 - 63 - 95)*(s**2 - 4*s**2 + 5*s**2).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132397*v - 132470*v = -4672 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**2\/2 - 22*j - 1204. What is c(13)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*o - 2268, 0 = 314*a - 319*a - o + 2244. What is the highest common divisor of a and 12375?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6744662392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-222992)\/(-33))\/(-181)*(-4)\/42*3.\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 6*m + 125 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 1160961?\nAnswer: -8\/1160961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + d - 294, 3*o + d = 4*o - 94. Find the first derivative of -61 + 134 - 49 + o*t + 60 + 129 wrt t.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/30 + (1116\/(-96))\/((-45)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3087 + -0.1913. Sort 0.3, -4, 11, -2\/7, x.\nAnswer: -4, x, -2\/7, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.5, 0.8, -210\/1541 in descending order.\nAnswer: 0.8, 0.1, -210\/1541, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0295087 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 + 6 = 5*h, 5*h - 18 = -g. Let o = 0 + 0. Let j = 7.661 - 1.661. Which is the closest to o? (a) -2\/5 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -354 + -154616?\nAnswer: -155303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4799975*t - 300. Let g be y(12). What is g rounded to the nearest one million?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = 0, -i + 6 = 4*p + 3. Suppose p*x - 11 = -3. What is the third derivative of 6*d**2 - 2*d**x - d**2 - d**2 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.5. Let z = 0.2 - 5.2. Let m = -5.01 - z. Put f, m, -2 in increasing order.\nAnswer: -2, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:31 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -c. Put 3, -3, c in descending order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 28 (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*h + 92 - 99 = 0, 5*h = p + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/85 - (-1)\/(-5). Let c be (1 + -4)*2\/14. What is the nearest to 3 in -5, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3111 (base 4) to base 12.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 0*a + 4\/3 - 7\/3*a**2.\nAnswer: (a - 2)*(a - 1)*(3*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -5 (c) 4 (d) -0.1 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12\/59 - 273\/472. Sort g, 3, -4.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3799166*m**3 + 5408929 wrt m.\nAnswer: 11397498*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19388549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-109947)\/103383)\/((-2)\/126)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*q + q**3 - 4*q + 0*q**3 + 5*q as i*q**2 + c*q**3 + k*q + j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2755 and 1015.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4100\/9 + 456. Let h be (4\/28)\/((-6)\/(-138)) - 3. Which is the closest to i? (a) h (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552 by 11.\nAnswer: 552\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = -21. Suppose 3*p - f = -4*i, 0*i + p + 5 = 3*i. Suppose 0 = 3*c + 15, -i*c + 50 = 4*u - 4*c. Solve -h + 3*h + u = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*v**5 - 11016*v**4 + 32984*v**3 + 185248*v**2 + 141636*v + 968 = 0 for v.\nAnswer: -2, -1, -1\/145, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4216*3.6\nAnswer: -15177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = 0, s = -3*r - 6 - 0. Let y be (-10)\/(-5) + -3 - r. Suppose 156 = 4*h - 4*n, -5*h + y*n = -0*h - 186. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 5. Calculate the greatest common divisor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/120 + v**5\/5 + 31*v**4\/24 - 49*v**3\/6 - 12*v**2 + 5. Is 22 a factor of o(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 12*u**2 - 14*u + 9. Suppose 0*y = -5*y + 30. Let l be 6*1 - (-9 + y). What is the tens digit of k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9 - 2)) + (-12 - (10 + -18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 3:48 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 - (-8 - -13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 10, -2, -6, 2 in decreasing order.\nAnswer: 27, 10, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 2*u**2 + 2*u + 2. Let o(j) = 5*j - 4*j**2 - 3*j**3 - 3*j**2 + 2*j**2 + 4. Give 5*c(m) - 2*o(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 75 = -150. Suppose 4*t - s - 17 = 2*x, 3*t - 48 = 3*x. Calculate the remainder when 42 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-720)*24)\/(1\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -48. Suppose -p*y = -54*y + 88. Let b(g) = y*g + 0 + 3 - 20*g. Give b(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**3 - 7*g**2 + 8*g. Let a(u) = -8*u**3 + 9*u**2 - 9*u - 1. Let w(y) = -6*a(y) - 7*f(y). Calculate w(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**3 - 25*w**2 + 0 - 132*w**2 - 115*w**2 + 1 - 105*w**2 to the form g*w**3 + j*w**2 + u + f*w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 13 = -5. Let x(y) = -y**3 - 10*y**2 - 9*y + 8. Calculate the remainder when x(u) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 8*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*i = -963, 2*a + 333 = 3*a - 5*i. Suppose 0*m = 2*m - a. Suppose -3*j + 4*u = -106, 4*j - u = m - 22. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 15*f + 16. Let u be t(-6). Sort u, -9, -13 in ascending order.\nAnswer: -13, -9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -257\/60 - -49\/12. Let w be 51\/(-6)*(-8)\/20*-1. What is the second smallest value in c, 5, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.01, 0, -16, -3, 1\/5 in ascending order.\nAnswer: -16, -3, -1\/3, 0, 0.01, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 8*o + 12. Let r be s(-10). Let c(f) = -f**2 - 8*f + 2. Let m be c(r). Suppose -d = -m*d + 3. Solve 22 + d = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453564 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21289 (base 10) to base 5.\nAnswer: -1140124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 222 = -558. Let f = -136 - k. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*k + 694, 4*c - 706 = 3*c - 2*k. What is c rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 19*y**2 + 16. Let a be t(19). Suppose -16 = -a*j + 15*j. Solve q = -3*q + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (-18 - -94 - 69) - -16.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 + z + 2. Let o(f) = -16*f**2 - 4*f - 11. Let x(a) = -11*j(a) - 2*o(a). Let q be x(-3). Let n = -17 - -49\/3. Which is greater: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20\/79 - 62\/869. Sort 1\/5, c, 2\/3 in increasing order.\nAnswer: c, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2607374853 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let k(i) be the third derivative of i**2 - 1\/24*i**4 + 0*i**3 + 0*i + 0. What is u(k(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 17050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = 3*w - 2*f, 80219 = 6*w + 2*f + 80569 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose 1 = -4*k - n*w + 5, 0 = 3*w + 12. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 2, l: 1, c: 1, x: 1}. What is prob of sequence vxvd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**3 + 2*r - 2. Calculate g(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 1 - 3*t + 4*t + 5*t in the form a*t + q*t**2 + k and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 2*n - 1, 5*c - 2*n = 6*c + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - n - 8 = 0, -c - 4*n = 600 - 612 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 22192.32?\nAnswer: 4438.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0200236 to 4 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.8 + 2.8. Let h = p - 16. Let q be ((-2)\/4)\/(5\/(-50)). What is the third smallest value in q, h, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 39.6 (c) 1 (d) 1\/15 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30821 = -3*p + 4*q, -9*q = -4*p + p + 30846. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnfffnifinifnn. Give prob of sequence nnf.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110154?\nAnswer: 2, 3, 11, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a6a (base 13) in base 3?\nAnswer: 202112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -16\/203, 0.22, -1\/4?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 15\/4, 0.2, -1.335, -2\/11 in decreasing order.\nAnswer: 15\/4, 0.3, 0.2, -2\/11, -1.335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a - 4*r - 16, 3*a + 8 = -2*r. Let c be (a + -1)*(1 - 4). What is the third derivative of -g**3 + 7*g**2 + 2*g**2 + 0*g**3 + 4*g**c wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135859*v**3 + 4*v - 5330 wrt v.\nAnswer: 815154*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**6\/360 - f**5\/5 - 6*f**4 + 41*f**3\/3 + 18. Let i(w) be the third derivative of u(w). Solve i(j) = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 0 + 0 + 3 - 2*b - 3 + (-5 - 1 + 4)*(-2*b + 0*b + 3*b))*(-93 - 112 + 39) to u + p*b and give p.\nAnswer: 996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18510826830771 + 3\nAnswer: -18510826830768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - t**2)*(5 + 0 - 4) - 5*t**2 + 8*t**2 - 10*t**2 + 0*t**2 + 3*t**2 - 4*t**2 - t + 44*t**2 - 38*t**2 + 2*t + 2.\nAnswer: -3*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -113 - (-11 + -11 + -56)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7128, -14222, -21278, -28296, -35276, -42218?\nAnswer: -49122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12791\/68950 - 1\/4925. Let r = -3\/14 + m. Which is the nearest to r? (a) 5 (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/12 - 3*n**3\/2 - 10*n**2 - 762*n. Determine p(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by (-2 + (-8)\/(-6))*-24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59255, 59008, 58763, 58520, 58279?\n\"Answer: g**2 - 250*g + 59504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -13323012 (base 5) in base 15?\nAnswer: -2a472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1356)\/(-18) - (3\/1)\/9. Let a = 26 + 4. What is the greatest common factor of g and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6\/5)*p)\/((((p*p**(-5)*p)\/p)\/p)\/p))**(-11\/4) assuming p is positive.\nAnswer: p**(-319\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d. Let s(m) = -9*m + 35. Let i(l) = -11*l + 42. Let v(n) = -5*i(n) + 6*s(n). What is v(w(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + 136. Suppose 2*j - 16 = -2*p + 148, j = 5*p - 422. Calculate the greatest common factor of k and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -823, -6763, -22889, -54295, -106075, -183323, -291133, -434599?\nAnswer: -618815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 31*j**2 + 3*j + 99. Let k be y(-31). Suppose 25*m - 2790 = -k*m. Calculate the remainder when m is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*l + 6. Let i = -15 + l. Let p be 1\/1*((-50)\/4)\/5. Put -4\/3, i, p, 2 in descending order.\nAnswer: 2, -4\/3, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 85\/90)*11\/((-22)\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.8133 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/7)*d**(-2\/133)*d**20\/(d*d**(-26)) assuming d is positive.\nAnswer: d**(871\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 12\/(-3))\/2. Let x(p) = 4*p**2 + p. Let o be x(k). What is the first derivative of -l - 1 + l + 6*l**3 - 3*l**o wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 65 = -37*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 4180.\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 23b66b?\nAnswer: -23b676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1160.611 - 0.389. Let p = h + 1160.9229. Round p to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4948529?\nAnswer: 4948529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179560 divided by -1340.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**2 + 23*f + 7 - 1 - 11*f**2 + 23*f**2 + 25*f. Suppose 3*v + 4*r + 91 = 0, -v + 2*r - 17 = -0*v. What is the tens digit of m(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -11. What is the closest to 2\/3 in -0.3, -1, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 3.05. Let k = h + -6. Which is the second biggest value? (a) k (b) -1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 10*s + 2. Let g be o(-4). Let h = -4 + 10. Let z(c) = 1 + h - 2 - 3*c**2. Let a(b) = -4*b**2 + 6. Calculate g*z(j) + 5*a(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = 6142 - 4242. Calculate the remainder when 161 is divided by x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319*c**2*r**3*s + 6248*c**2*r**2*s - 8*c*r**3 - 12*c*r**2 + 103*r**3 - 2*r**2 + 2*r - 2*s wrt c.\nAnswer: 638*r**3*s + 12496*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gddg when four letters picked without replacement from ttggdgddgttggggtd?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13.37 * 0.1\nAnswer: 1.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*g**4*q**2 - 387*g*q**2 - g*q wrt g.\nAnswer: -1104*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/468 and 71\/728.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125986 + 2813?\nAnswer: 2812.874014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 370441 * -0.2\nAnswer: -74088.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 11*k - 32. Let w be u(-9). Let v be 51\/(-42) + 4\/w + 0. What is the closest to 0.1 in v, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.331 and 11.61722.\nAnswer: 11.94822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2941, -2923, -2889, -2839?\n\"Answer: 8*v**2 - 6*v - 2943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(1007*t**2 + 50*t**2 + 4*t**2) + t + t**3 - t.\nAnswer: 2123*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9397, -18788, -28179, -37570, -46961?\nAnswer: -56352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -56*u + 1. Suppose 0 = -9*z - 2007 + 1998. Determine x(z).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49 - 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/9)\/((-2)\/(-6)). Let j(g) = -g**3 - 2*g**2 + 6*g + 2. Let d be j(c). What is the highest common factor of d and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1198 (base 14) to base 10\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3008 + 4799. Suppose 0 = 11*m - d - 4259. Suppose -m = -9*i + 143. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 15*p + 1. Let k(d) = d**2 + 8*d. Suppose -5*y + 7*y + 10 = 0. Let o(w) = y*k(w) + 3*q(w). What are the prime factors of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 597214*t**3 + 89165543233*t**2 - 178332878112*t + 89166737664.\nAnswer: (t - 1)**2*(t + 298608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 6*d**5\/7 + 6688*d**4 - 62458*d**3\/7 - 28988*d**2 - 93648*d\/7 = 0?\nAnswer: -7804, -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 - -310. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*k - 5*j + 24, 5*k + 3*j = 40. Let y = 10 + k. What is the remainder when 89 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -6*g + 10 + 123 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1258457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35841027 to the nearest integer?\nAnswer: 5987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -101059100 rounded to the nearest 100000?\nAnswer: -101100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*4*(0 + sqrt(153)))**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108.3447 millilitres to litres.\nAnswer: 0.1083447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -39. Suppose x*u + 1408 = 3*u. Let q = 272 + u. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvfvvvffvvf. What is prob of picking 2 v?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1282739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from {j: 2, v: 1, h: 6, p: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 2:12 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1033, 4302, 9785, 17476, 27369, 39458, 53737?\n\"Answer: -p**3 + 1113*p**2 - 63*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3978)\/12168 + 1\/(-8)*-2\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -1027658?\nAnswer: 9\/1027658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 9*c + 33. Give a(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 138554111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 5167425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let i(t) = t**2 - 5. Let v be i(-4). Suppose -2*s - 5*w = -0*s - 26, -s - 2*w + v = 0. What is the highest common divisor of l and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x. Let k(z) = 4 + 1 - 5 - z. Let n(g) = 5*k(g) + t(g). Let u(c) = 0 + 0 - c**2. What is n(u(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*x - 61 - 1, -180 = 3*r - 3*x. Suppose -6*g + 5*g = -116. Let p = r + g. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-35)*(-5)\/(-2))\/((-11)\/(-22)). Sort k, -6, -2\/15, 3 in descending order.\nAnswer: 3, -2\/15, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -3, 998, -46.\nAnswer: -46, -3, 65, 998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1963 is divided by 854.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v - 17. Calculate n(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173 + 333. Calculate the greatest common factor of d and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + -1 - 4\/(-16)*-12. Suppose -k*c + 10 = -0*c. Solve -3*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 6*m + 24. Let w be q(-11). Suppose -17*k = -9*k - w. What is the remainder when 75 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156912 and 52488.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/((-4)\/(-597)))\/(414\/16). Let c = -10\/23 + s. Calculate the common denominator of 0 - (138\/(-20) - 1) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.051 - -1.051. Suppose 5*y - 4*y = 3. Let s = -3 - -2. Which is the third smallest value? (a) i (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388*s - 19 = 1392*s + 3*w, -w - 6 = -2*w - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -136699, -136606, -136511, -136414, -136315, -136214, -136111?\n\"Answer: y**2 + 90*y - 136790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o + 101 - 1359 = 722. Suppose 38 + 70 = s. Calculate the highest common divisor of o and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6554 + -3.\nAnswer: -4.6554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-34)*t*t)*t**(6\/11)*t)\/((t*t\/t**(-21))\/(t*t**(13\/6))) assuming t is positive.\nAnswer: t**(971\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwoooiwooon. Give prob of sequence ozww.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430 + 473. What is the remainder when 169 is divided by h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -11*q + 8*q + 34, -32 = -3*q - r. Solve 7*l - q*l + u - 15 = 0, 0 = 2*l - 4*u + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*t + 69, 13 = -4*y - t + 144. Solve -5*h + 2*p + 3 = -0*h, 3*h - y = -4*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87.9 - -88. Which is the smallest value? (a) 1\/4 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11073557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35022 + -19673. What are the prime factors of x?\nAnswer: 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.9848 - -51. Let p = s - -0.4848. Which is the biggest value? (a) 2 (b) p (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96101999177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 12*l - 3*l)*(4*l + 2*l - 3*l) - 4*l + 4*l - l**2.\nAnswer: -58*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1393.9 - 1395.9. Is h greater than or equal to -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14316*c - 14073*c = -77 - 6241 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1503, 1245, 815, 213, -561, -1507?\n\"Answer: -86*b**2 + 1589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14978.\nAnswer: 2, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x**2 - 5*x**2 + 4*x**3 - 12*x**3 to p + k*x**2 + h*x**3 + d*x and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 - 47. Let f = z + -135.8. Which is the nearest to 0.2? (a) -0.2 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/(58\/(-39)). Let y = s + -7\/29. Suppose -2*l + 4 = -4*l. Is l bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((0 - 7) + 40\/8). Solve 0 = w*j - 3*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*t - 13*t**2 - 44*t)*(0*t + 5*t - 3*t)*(6*t - 12*t + 2*t - 6*t - 17*t) in the form q*t + g*t**3 + h*t**4 + a*t**2 + y and give h.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**2 - 1\/2*v**4 + 1\/20*v**5 + 5\/3*v**3 + 0 - 7*v. Let y be k(4). Solve -y = 5*n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.01 - -462.99. Let x = -463.9 + j. What is the nearest to x in 5, -0.5, -25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6678*s**3 - 3334*s**3 - 3342*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:20 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6684227 to the power of 1\/2, to the nearest integer?\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1596175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 33*s - 224. Determine u(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77353 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/20*-1*5. Let q = 4 - i. Let p(m) = -m**3 - 3*m**2 - 2. Let u(j) = 3*j**3 + 10*j**2 + 5*j + 6. Let r(c) = -4*p(c) - u(c). Give r(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7126908 divided by 37.\nAnswer: -7126908\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 7.17. Let a = q - -22. What is the third biggest value in -0.2, a, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30430014 (base 7) to base 12\nAnswer: a28a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:12 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 966, 1927, 2888, 3849?\n\"Answer: 961*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 999312 minus 390.409436?\nAnswer: 998921.590564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -214 + 1864529?\nAnswer: 1864315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/11 + 4*o**2 - 50*o\/11 - 92\/11 = 0 for o.\nAnswer: -23, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-298 - -324)*(-4)\/(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/12 + 7*c**3\/3 - 21*c**2 - 4*c. What is the units digit of w(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7113\/692332*-4*(4\/9)\/2?\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 2*f. Suppose -4*s = -10 + 2. Let j be h(s). Is 6 a factor of (-2)\/j - (-245)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - 3. Let q = -1 + -6. Let l = -1593 + 1588. Let w(b) = -16*b**2 + 6. Let x(z) = z**2 - 1. Let u(m) = -w(m) - 10*x(m). Give l*u(h) + q*f(h).\nAnswer: -2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 5*u + 5. Let z(g) be the second derivative of g**3\/3 + g**2 - 6*g. Give 2*s(q) - 5*z(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 7. Calculate the highest common divisor of 23 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, 2, 0, -4, 39 in decreasing order.\nAnswer: 219, 39, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s - 9. Let r(c) = -c. Let t(j) = -g(j) - 4*r(j). Let d(v) = v - 1. Calculate 18*d(i) + 2*t(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182094509.\nAnswer: 29, 137, 45833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/18 and -49\/11211.\nAnswer: 67266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**2 + 0*g - 7*g + 7*g.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115700, -231327, -346988, -462701, -578484, -694355?\nAnswer: -810332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 97?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 99\/77*78\/(-351)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3630) - (sqrt(3630) + -1*sqrt(3630))) + sqrt(3630) + sqrt(3630) + sqrt(3630))\/sqrt(5))\/(3*sqrt(18)\/(sqrt(6)*2))*3.\nAnswer: 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 287 = 2*l, 4*p - 91 = -l + 58. Calculate the remainder when l is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196 + -175 - ((-3)\/2)\/(3\/(-12))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*h = -13 - 1, 3*o - 32 = -4*h. Suppose -3*r - 2*m - o = 2, -2*r - 13 = -5*m. Let c = r + 4. Solve -3*k - 2*k - f = c, -2*k = 4*f - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 428370, -4 in ascending order.\nAnswer: -4, 5, 428370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l - 4*u - 5116, -4*l = -5*u - 10247. What are the prime factors of l?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 10*k**2 + 9*k - 3. What is the remainder when 94 is divided by w(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -3 (c) 11 (d) -4 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -252066, -504091, -756044, -1007889, -1259590, -1511111?\n\"Answer: 6*b**3 - 252067*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97264 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 110*a**2 + 19*a - 47. Let n be c(-37). Is 2475\/4 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and 36982?\nAnswer: 147928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 4 - 2 + 5*b**2)*(16*b - 7*b + 6*b).\nAnswer: 15*b**3 + 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 862*775.2\nAnswer: 668222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 3*q - 3. Let k(i) = -i**2 - i + 1. Let u(f) = 3*k(f) + y(f). Let s(x) = 26*x**2. What is u(s(d))?\nAnswer: 676*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g + 2. Suppose 5*i + 5440 = -0*i - 4*r, g*i + 3*r + 2169 = 0. Let u = i + 1879. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*q - 72*q + 228*q + 646788 - 646790.\nAnswer: 217*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1294 + 1306 - (89 + 3 + -3 - -3)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*v - 5*v**2 + 3*v**2 + 9*v + 9 with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c. What is the units digit of t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 3. Suppose 3*d + t = 234, -d - t = -3*d + 156. Let b = 75 - d. Let x(m) = -m**2 - 1. Calculate b*x(k) - a(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u. Suppose -10 = 5*x + 5*y, u = 2*x - 7*x - 4*y - 5. Suppose 0 = -b - x*b + 16. Solve -3*v + v = -b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31253*u = -s + 31256*u + 25, -4*s - 4 = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1859 + 1860. Suppose 2*b = 5*m + 63, 4*m + 10 = 2*b - 42. Let q = -6 - m. Sort -4, 0.5, q, j in decreasing order.\nAnswer: q, j, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47465067 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k + 6. Let d(v) = -13*v - 10. Let a(o) = -38*o - 29. Let l(h) = 6*a(h) - 17*d(h). Let p(i) = -5*c(i) - 8*l(i). Give p(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose -6*r = -10*r - q + 49599997, 2*q = 2*r - 24800006. Suppose l = 12*y - 16*y - r. Round y to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.9. Let x be ((-64)\/3)\/(2\/(-4)). Let d = x - 44. Which is the nearest to -0.1? (a) 1\/4 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbkm. Give prob of sequence mk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*j + 29125, 29146 = 5*x - 95*j + 93*j. What is the lowest common multiple of x and 16?\nAnswer: 23312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1824 and 27932544.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 1650 = -39*z. Let o = 416 + z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -653 - -666. Suppose 2*t + 24679985 = -5*y, c*y + 49359994 = -4*t + 11*y. Round t to the nearest 100000.\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1910 from 0.11446.\nAnswer: -1909.88554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n**2 + 4*n + 4. Suppose 0*a = -3*a - 3. Calculate the remainder when ((-13)\/((-26)\/(-60)))\/(-2) is divided by t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:30 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4\/((-504)\/(-7)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 1. Let s = 354 + -354.1. Let p be 2*(2 - (-2 + 2)). What is the smallest value in r, s, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 9*j - 11. Let z(h) = h**2 - 4*h + 5. Let k(p) = 6*t(p) + 14*z(p). Is 17 a factor of k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -45072515\nAnswer: 45072521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9 - 3 = -4*i, -4*a + 12 = -4*i. Solve -19 = -a*n - 5*p, 4*n + 2*p - 20 = -2*p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzrzzzrrzrzzr. Give prob of picking 4 r.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 11491*v - 34500. Give w(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 515, 514?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304 and 1700.\nAnswer: 129200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let k(m) = -26 - 8 + 7*m + 6*m + 22. Let p(n) = -11*n + 12. Let q(h) = -6*k(h) - 7*p(h). Determine q(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 14 = -g - 5, 0 = -g - i + 21. Suppose -373 - 140 = -19*f. Calculate the greatest common factor of f and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 + 1. Let r be f(1). Solve 0 = -r*l - 5*y - 10, l - 5*y + 16 = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 = -9*w + 4*w, -2 = m - 2*w. Let b be -2 + -3 + (-4 - -38). Suppose -5*z - b = -84. What is the lowest common multiple of m and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*v**2 - 18*v**3 - 3*v**3 - 49*v**2.\nAnswer: -21*v**3 - 209*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Let p = -4 - -6. What is the units digit of n\/(6\/20) - p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/3)\/((-8)\/(-36)). Which is smaller: 32 or u?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Solve n*w + 8 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -12*g - 2. Solve -4*h - 5 = -9*h + g*a, 0 = a - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + w = j + 14, 3*j - 3*w = 12. Suppose 3*h + j = 5*h + 2*c, -3*h + 9 = -2*c. Sort 2, 5, h in increasing order.\nAnswer: 2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 1*sqrt(77))*4)\/(2*sqrt(1584)) - (6*sqrt(196)*2)\/(sqrt(14)\/(sqrt(6)\/sqrt(3))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 244 - 244 - i + 2*i. Let w(m) = -m. Give -3*w(g) - y(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 107. Let u be 123 - (0 - -1 - -1). Let b = u - x. Calculate the highest common factor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**(-17)*(o\/o**(16\/5))\/o**(3\/5))**40 assuming o is positive.\nAnswer: o**(-1696\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(500) + -1)**2.\nAnswer: -20*sqrt(5) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -t - z, t = 4*t - 2*z + 38. Let n = t - -22. Calculate the least common multiple of n and (-64)\/(-416) - 256\/(-26).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.7, -2, -473, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 872 divided by 63\nAnswer: 872\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 269. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -1.6\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 7*k - 6. Let h(t) = -t**3 + 24*t**2 + 17*t + 194. Let u be h(25). Give n(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36807.4341027 + -0.03.\nAnswer: 36807.4041027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474321012.6017 - -1.\nAnswer: 474321013.6017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109726119?\nAnswer: 3, 211, 57781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8698, 16566, 24390, 32170, 39906, 47598?\n\"Answer: -22*r**2 + 7934*r + 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 5, 3, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Is -1*(-2 - (12 + w)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.114 to zero dps.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cee9 - -3?\nAnswer: -cee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-2)\/(-7) + (-360)\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6416651*j**2*p**3 - 18*j*p - 16*j + 2*p**3 + 5488*p wrt j?\nAnswer: 12833302*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1190 divide 10774717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10257\/26*(-1)\/((-12)\/(-8))*-19.\nAnswer: 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466 = 2*t - 35587*w + 35561*w, -t = 3*w - 55 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x. Let q be y(-4). Let d be ((-8)\/q)\/((-3)\/30). Suppose -d*n + 6*n = 119. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-36)\/195) - 10)*6\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/3 - 5585*f**2\/3 + 1239634*f + 1241496 = 0.\nAnswer: -1, 774, 4812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 495. Suppose 3*u - d = -3*s, u + 181 = 6*u + s. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:39 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:51 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 1672\/57 + ((-294)\/7)\/3?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2263 divide 2361958727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -24105*y - 14 + 24106*y + 14. Let c(i) = -317*i**2 + 2. Determine c(t(w)).\nAnswer: -317*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.719 + -0.281. Which is the closest to s? (a) 2 (b) 4\/13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10 = 3*k - 2*r, -10 = 4*k + 3*r. Let w be 9*3\/12 + k\/16. Suppose -2*x = -2*b + 6, -3*b - 12 = w*x - 1. Sort -6, x, 0 in descending order.\nAnswer: 0, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-324.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 35*y**4\/12 + y**3\/3 - y**2\/2 - 3*y. What is the units digit of h(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56992.106 times -2?\nAnswer: 113984.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/20 + 157*v**4\/8 - 155*v**3 - 2*v**2 + 27*v - 3. Factor d(y).\nAnswer: -3*(y - 155)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13468 and 16021?\nAnswer: 5831644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36 - 39 - 240*j - 41 wrt j.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2\/5, -2, 5\/4, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 + 2. Let q(l) = -3*l + 1333. Determine q(b(y)).\nAnswer: -18*y**2 + 1327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3349266780 and -0.0491?\nAnswer: 3349266779.9509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*v, -t - 2*v - 3 = -0. Suppose 54 = -5*o + m, 7*m = -5*o + t*m - 34. Let f = o - -19. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**4 + k**3 + 330052*k**2 - k - 1522769 wrt k.\nAnswer: 4*k**3 + 3*k**2 + 660104*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 6*p + p)*(13 - 2 - 3) as v*p + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:28 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -249a - -1?\nAnswer: -2499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 143480*m - 129 = -143484*m, 2*m - 81 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(-37098)\/(-36). Suppose 0 = -7*s + 2106 + p. Suppose 3*l + s = 5*i, -26 - 37 = -i - 5*l. Which is smaller: 77 or i?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 793 - 47. Let q(m) = 4*m**2 + 4*m - 4. Let a be q(5). What is the remainder when (2 + a + 0)\/1 is divided by n?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -4 - (1 + 2 + -11). Suppose 9*a = v*a - 134. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (175\/28 - 6) + (-2)\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3759580 and 132940.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-7\/5)*r**(-13))\/(r**(-14)\/r**(-1\/11)))**(-8) assuming r is positive.\nAnswer: r**(-1456\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 85*k**3 - 3*k**2 + 75*k - 257. Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + 4 + (9 - (11 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18)*i**(-1\/48)\/i*(i**(-19)\/i)\/(i\/(i\/(((i*i**(3\/8)\/i)\/i)\/i)*i)))**(-1\/49) assuming i is positive.\nAnswer: i**(1747\/2352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616 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: Suppose -g + 287 = 6*g. Calculate the remainder when 163 is divided by g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 6*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752139 - 416*n**3 + 752139.\nAnswer: -416*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102001 + 2?\nAnswer: -2101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2 - 4*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 338, 345, 356, 371, 390?\n\"Answer: 2*b**2 + b + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w)**(-8)\/(w**0)**1)**(-9\/4))**(1\/17) assuming w is positive.\nAnswer: w**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 220*f + 24 = 223*f, -5*f = -2*y - 26 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 45*a**2 - 2158*a - 336. Calculate x(-29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 16 = 0. Let j = 2 - 1. What is the lowest common multiple of j and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:11 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.4 - -149.4. Let g = 124.748 - v. Let s = -0.359 - g. Round s to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -56?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from {w: 3, h: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13794 by 3875.\nAnswer: -13794\/3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*p**5\/8 + 1899*p**4\/8 - 3921*p**3\/4 + 6453*p**2\/4 - 6399*p\/8 - 405\/8 = 0. What is p?\nAnswer: -3\/53, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 1 = 46 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 10*c**2 + 5*c + 11. Let d be y(-10). Calculate the remainder when (-1 + 0)\/(13\/d) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-29 + -5 + (-3 - -18) + 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 3*b**3\/2 + 83*b**2\/2 + 3*b + 21. Let q be m(8). Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/727? (a) 5 (b) -2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 0, 0*m - 2*t = 5*m - 118. Let y be 1\/33*(-19)\/((-76)\/m). Sort -1\/3, y, -0.054 in increasing order.\nAnswer: -1\/3, -0.054, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -673017, -1345823, -2018623, -2691417?\n\"Answer: 3*d**2 - 672815*d - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c + 19 - 16*c + 6*c.\nAnswer: 3*c + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0.11, 1, 13.\nAnswer: -37, 0.11, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -1. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 + 0.19. Which is the smallest value? (a) 0.2 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a + 18*a + 1053 = -46*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -149859869 from 0.34.\nAnswer: 149859869.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -1574 - 621. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:35 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55797.79 millimeters in nanometers?\nAnswer: 55797790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3066\/11 + 279. What is the closest to 3 in t, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-159)\/540. Let b be (-1*2)\/((-141)\/(-141)). Is b equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -460 or 1238738?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -178*j + 176*j - 5*m, -4*j - 12 = 4*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50, 97, 144?\n\"Answer: 47*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -3\/2 (c) 0 (d) -5601 (e) 4.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -3. Let w = 92 - 551\/6. Let z = -186\/7 + 379\/14. Which is the nearest to v? (a) w (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11582.3 and -78?\nAnswer: -903419.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) + 1)*-1)**2 + -2 - (0 + sqrt(1377)*2 + (1 + sqrt(1377))**2 + 0)) + 4.\nAnswer: -12*sqrt(17) + 1073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a4 + 6810?\nAnswer: 6617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 23304 = -5*k. Suppose v - 2*x - k = 0, -2*x = -v + 3*x + 986. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1, -1 in descending order.\nAnswer: 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o**2 + o)*(-2*o + 2*o + 3*o)*(-1 + 0 + 2).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10692768871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 608775448 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03824 + -0.4.\nAnswer: -0.43824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*1.7.\nAnswer: 28.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/3, 0.8, -1\/3, 0.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*b*i*q*v**2 + 5*b*i*q - 6*b*i*v**2 + 30*b*i*v - 44*b*v**2 - 32*i*q - i*v wrt q.\nAnswer: -13*b*i*v**2 + 5*b*i - 32*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -461986, -923937, -1385888, -1847839, -2309790, -2771741?\n\"Answer: -461951*g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 39, 181, 451, 891, 1543, 2449?\nAnswer: 3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l + 2 = -12 + 599 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76115, -76117, -76119?\nAnswer: -76121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 - 49*v**2 + 9*v + 12. Give g(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14205285671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvbv when four letters picked without replacement from ubbuvbvbv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -16\/261, -298, -1\/4, -4 in ascending order.\nAnswer: -298, -4, -1\/4, -16\/261, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(1*(-1 + sqrt(12))**2 - -6*(sqrt(108) + 0))*5)*6.\nAnswer: 1158 + 2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -390*-68677\nAnswer: 26784030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**4 - 2*s**2 - 3511*s - 406290 with respect to s.\nAnswer: 12*s**3 - 4*s - 3511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 60 - 64 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/3 + 7639462*o - 91673576\/3 = 0. What is o?\nAnswer: -11459197, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -26\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -88, -108, -106, -76, -12, 92, 242?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.0117\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/4*8 + (8 - -670)?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 173?\nAnswer: -13\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, u: 10, s: 3, z: 2, h: 1}. What is prob of sequence uzu?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.613374316 rounded to 4 decimal places?\nAnswer: 0.6134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**4\/4 + 7*x**3\/3 - 3*x**2\/2 + 1. Let l(h) be the second derivative of c(h). Find the first derivative of l(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 + 38*q\/9 - 4.\nAnswer: -2*(q - 18)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**3 - 22*c**2 - 4*c - 1. Is a(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20435*31.\nAnswer: -633485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-50 + -1 + 44)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/2)\/((-52)\/104) - 35\/(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76248.1 milliseconds to microseconds.\nAnswer: 76248100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lklllk. Give prob of picking 1 l and 1 k.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -61*v + 1094. Let f be b(18). Let c(j) = -j**3 + 3*j**2 - 8*j - 3. Let n(i) = i**3 - 4*i**2 + 9*i + 3. Give f*c(g) - 3*n(g).\nAnswer: g**3 + 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 69 - z**3 + 11*z - 2*z**4 - 45 + z**2 - 5*z in the form n*z**2 + t + g*z**3 + h*z + u*z**4 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1182962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 + -44)\/(2\/(-3)). Let z(a) = -2*a**3 + 2*a**2 - a + 270. Let q be z(0). Calculate the highest common divisor of j and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 705\nAnswer: 1\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - -0.986079?\nAnswer: 1.586079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -4.74. Let t = l + -0.2. Let v = 364 - 364.2. Sort t, v, 5 in decreasing order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 343 + -344. Let b = 3 + 1. Do v and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - 52004.\nAnswer: -52003.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87592132*l**4 - l**2 + 2292167*l - 6.\nAnswer: 2102211168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(9\/(-198)). Which is bigger: z or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/28 + (-12)\/(-8). Let j = 0.08 + -0.68. Let i = -1 - j. Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1539)*-4 + 2 + sqrt(1539) + 1 + 4)**2 - ((2 + sqrt(1539) + 2)**2 - (3 + (sqrt(1539) + 3)**2))).\nAnswer: -396*sqrt(19) + 13896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g + 1. Let m be p(4). Let t(v) = v**2 - 4*v + 2. Let k be t(4). Solve 0 = h + 2*z - 7, k*h - 2*z = h - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1693987, 1693989, 1693991?\nAnswer: 1693993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/12 + b**4\/24 - 33*b**2 + 3*b - 9. Let i(d) be the first derivative of l(d). Give i(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 800330 to the nearest ten thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v + 5*x + 46, 2*x = 3*v + 155. Let a = -40 - v. Let k = -24 - -35. What is the lowest common multiple of k and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20132 and 95326.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u + 22. Let x(t) = 65*t - 155. Calculate -20*l(y) - 3*x(y).\nAnswer: 5*y + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*w + 39*w + 36. Suppose 3*t - 5 = -j, 0*j - 4*t + 14 = 5*j. Let f(x) = -j + 0*x**2 - x**2 + 3*x + 1. Determine f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n - 3*n)*(-2 + 1 + 0) - 4*n - 3*n + 4*n - 1 + 2*n + 0*n + 4*n.\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 15*d + 14. Let l be a(14). Let p = -19 + l. Calculate the remainder when 25 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*t = 8308 - 8593. Factor 27\/5*j - 1\/5*j**t + 0*j**2 - 54\/5.\nAnswer: -(j - 3)**2*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 5*-2*sqrt(85))\/(-4*sqrt(20)) + -1.\nAnswer: -1 + 9*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4 - 359789*r**3 + 43149254910*r**2 - 1724934614042300*r - 1724977763657000 = 0. What is r?\nAnswer: -1, 119930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 4. Let n be c(0). Suppose -n*t = -41 + 13. Solve 0 = -4*b + t*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125 - 8*c - 66 - 55 to the form x*c + v and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -15 + (-14 - (-32 - -17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((4 + -1)\/(-3)). Suppose -3*k - 20000 = m*k. What is k rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 308520314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -96*5\/75*(-15)\/(-2). Suppose 0 = 2*i - 4*i - d - 70, -i - 5*d = 35. Let w = i - t. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 + (-23 - (82 - 124))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-29))\/(l\/l**4)*(l**(-1\/6))**(-35))**(-2\/25) assuming l is positive.\nAnswer: l**(-239\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 1345587762?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92399.\nAnswer: 92399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 633906, 633923, 633946, 633975, 634010, 634051, 634098?\n\"Answer: 3*o**2 + 8*o + 633895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 + 310*w**2 + 4*w + 1196.\nAnswer: -6*w**2 + 620*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 times -35?\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*r - 4 = 0, 2*r + 0*r = 5*y + 24. Find the common denominator of 6\/(-40)*236\/(-12)*-1 and ((-110)\/(-363))\/(y\/39).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(1900))**2.\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00593 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:22 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -7\/24*b**4 + 0 - 14\/3*b**3 + 0*b + 17*b**2. What is the first derivative of l(x) wrt x?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {m: 3, c: 1, e: 2, o: 1, z: 3, x: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5260 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 1. Let o = t + -8.2. Suppose 5*f + 50 = 5*w, 4*f = -5*w + 1 + 4. Which is the closest to -1? (a) -0.5 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 4:50 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72424243393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 390, 209, -42, -369, -778, -1275, -1866?\nAnswer: -2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -16675?\nAnswer: -1\/16675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1948701 is divided by 369.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1671\/10241 or 1?\nAnswer: 1671\/10241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 38. What is the units digit of (-16)\/56 - (-436)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzmiwwzziw. What is prob of picking 1 z, 1 m, and 1 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 167 - 106 + 108 = 35*q + 2*f, 12 = 3*f for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45, -76, -127, -198?\n\"Answer: -10*f**2 - f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*j - 3, 5*j - 85 = -5*a. Suppose -4*v - v = a. Is v at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upepupgpn. What is prob of picking 1 u and 1 e?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4 + 32. Let q(z) = -4 + 0 + 0 - z**2 - 9*z - 3. Calculate q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 5*z + 3. Let t be w(-3). Let k(a) = a**3 - a + 1. Let p be k(0). Put t, 4, p in increasing order.\nAnswer: t, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {m: 5, h: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -456 + 526 - (1 - 2). Solve -176 = -49*g + h*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + 28. Let c = m - 90. Solve -6*v - 10 = c*o - 2*v, 4*o - 16 = 4*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11664*w**5 - 6588216*w**4 - 1238187492*w**3 - 77003699290*w**2 + 80751331150*w + 156523419500 = 0. Calculate w.\nAnswer: -3395\/18, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 60 = 3*v + 3*w, -3*w = -3*v - 24. Let q = 15 + v. Differentiate 8 - q*c**3 - 17 - 8*c**3 with respect to c.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + q - 5. Let r(y) = 6*y**2 + y - 6. Let v be -3 - (0 - 22\/2). Suppose 8 = -4*m - v. Calculate m*r(h) + 5*g(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4372*x + 56 + 8744*x - 4373*x)*(1 + 0 - 3 + (0 - 2 + 4)*(4 + 0 - 2)) to the form b*x + t and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-168)\/(-60))\/((-148)\/150 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 3:30 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172139\/840 + 3094\/15. Find the common denominator of h and (-3 + 3 + 45\/4)\/((-81)\/135).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 491\/253?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 235*z - 93. Let x be (-134)\/(-335) - (-18)\/5. List the prime factors of w(x).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 7*j**2 - 6*j - 5. Let n be l(6). Let o be n\/(10\/12) - 4. Calculate the remainder when 6 is divided by ((-25)\/o)\/((-1)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 3*d. Let w(a) = a - 16. Let t be w(15). Let x be q(t). Suppose -7*i + x*i + 600 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:57 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*h = 79 + 1, -4*a + 4*h = -56. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007177953 rounded to five decimal places?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546506?\nAnswer: 2, 61, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.000007 + 40. Round o to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 8 - 4. Suppose 0 = -a*x - p + 36 - 3, -5*x + 5*p + 60 = 0. Suppose g = x + 3. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1352218 in ascending order.\nAnswer: -1352218, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2163 = 2*d + 3*h, -2*d = -6*d - 3*h - 4329. Let j = d + 2394. Suppose z = -x + j, 0*x - 2 = x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**2. Let u(f) = -5*f + 3. Let n(c) = 6*c - 4. Let z(d) = 3*n(d) + 4*u(d). Give x(z(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6475125 and -137\/207204?\nAnswer: 25900500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -32. Let i be (1\/q*6)\/((-2)\/32). Let p = i - -12. Solve p = x - 2 + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 3*q + 6. Suppose -87*c + 82*c = 32*k - 227, 3*k + 5*c - 53 = 0. What is the remainder when z(4) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(2299)*-6*-1 - -4*(2 + 2 + sqrt(2299) + sqrt(2299)))*1 + -4.\nAnswer: -660*sqrt(19) - 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 700, 1574, 2798, 4372, 6296?\nAnswer: 8570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9*-608\nAnswer: -5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + (-292)\/(-555). Let l = 5591\/555 + o. Let b = -5680\/11 - -517. Find the common denominator of b and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31557 + -31556.999968889. Round m to seven decimal places.\nAnswer: 0.0000311","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/17? (a) 18 (b) -6\/37 (c) -0.3 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n*s**2 + 2*n*s + 14*s**2 + 25*s wrt s.\nAnswer: -4*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 1347862.\nAnswer: 1347862.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + s**2 - 4*s - 4.\nAnswer: (s - 2)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -20, 5*r + 10 = -2*t - 0*r. Solve -5*l - t = -0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -144*g + 147*g - 4483, -5*g = 2*p - 7467. List the prime factors of g.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7031465 + -4.\nAnswer: 7031461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551128.\nAnswer: 2, 68891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46079309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.581626 rounded to three dps?\nAnswer: 5.582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -1\/3, 1, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7432)\/(-22) - (-52)\/286. Suppose -2*d = 2*k - f, 0*k - k = 4*d - 172. Calculate the highest common divisor of 126 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1288\/8541 - 2\/657. Let w be 146\/10 - (-2370)\/(-158). Which is the closest to i? (a) 0.1 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 149*o**3 + o**2 - 4*o + 1. Give z(1).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/40*1 + 7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3042, 3051, 3076, 3123, 3198, 3307, 3456?\n\"Answer: c**3 + 2*c**2 - 4*c + 3043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263 - 352. Let q(n) = 5*n**2 - 2*n - 12. Let j be q(5). Let h = v + j. What is the remainder when 137 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8626927.\nAnswer: 8626927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 408859, -4, 5, -5 in ascending order.\nAnswer: -5, -4, -3, 5, 8, 408859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824848 greater than 4824842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 + 4*f**3 - 360*f**2.\nAnswer: 4*f**2*(f - 9)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 443 and 4013580.\nAnswer: 4013580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/140 + (-2544)\/(-21). Sort b, -2\/9, 0.7 in decreasing order.\nAnswer: b, 0.7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1445 (base 7) to base 8.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -29. Suppose 3*n + 5*p = 6*n - 16, q*n + 3*p + 2 = 0. Factor 6*i**n + i**3 + 3*i + 6*i**3 - 10*i**3 + 6*i**3.\nAnswer: 3*i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*i - 0*i. Suppose 8*l + 2*y - 49 = 3*l, -10 = -5*y. Calculate the remainder when i is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43672 - 174675 - 13*g + 43673 + 43658 + 43672.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/8, 3\/7, -3808?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 644757 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 381.17 - 381.132241. What is b rounded to 3 dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.42, 2\/3, 0.1, 1\/5 in decreasing order.\nAnswer: 2\/3, 1\/5, 0.1, -1.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u + 98. Let r be a(0). What is the highest common divisor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 8155. Let w(f) = 10971*f. Give w(m(s)).\nAnswer: -10971*s + 89468505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 714764 bigger than -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -127, -138, -147, -154?\n\"Answer: n**2 - 14*n - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9581033 rounded to three dps?\nAnswer: 0.958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 68, 42, 4, -46?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, i: 7}. Give prob of picking 3 i.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005588 rounded to 5 dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57351 or -56466?\nAnswer: -56466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 7*z = -116. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 71, -0.5, 6, -2.2, 4 in descending order.\nAnswer: 71, 9, 6, 4, -0.5, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127507 is divided by 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.619 + 0.019. Let l = z + 1.641. Let t = l - -17.959. Does t = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -1 + (-182)\/25. Let v = l - -3317\/150. Calculate the common denominator of 7\/84 - (-8)\/(-24) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 8 + 365*m - 60*m**2 + 120*m**2 - 64*m**2 - 13 to the form x*m**2 + f*m + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - g + 1. Let y(p) = -1173*p**2 + 1564*p - 1564. What is 1564*d(w) + y(w)?\nAnswer: 391*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 q, and 1 p when four letters picked without replacement from {j: 7, e: 1, i: 5, f: 1, q: 1, p: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = -0. Let q = -7 - -8. Let a(w) = 0 - w - 3*w**3 - q + 1. Give a(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 35 + 4 = 0. Let j(k) = -k - 3. Let i be j(-4). Let x(q) = q**2 + 2*q - 1. Let n be x(i). Put n, a, -4 in decreasing order.\nAnswer: n, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200640000 rounded to the nearest one million?\nAnswer: -201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8\/3*j - 32\/9 + 0*j**2 - 2\/9*j**3 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1170\/(-90)*3*2\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 1:00 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 9664770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1669*w**2*z**2 + 9*z**2 + 48 wrt w.\nAnswer: 3338*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**5 - q**3 + q**2 - q + 1. Let v(w) = 77*w**5 + 3*w**3 - 7*w**2 + 5*w - 114. Let j(k) = -5*s(k) - v(k). Find the third derivative of j(p) wrt p.\nAnswer: -4320*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.597 (b) 0.4 (c) -5 (d) -16 (e) -13\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102943, 205887, 308831, 411775, 514719, 617663?\n\"Answer: 102944*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-17\/2))**(-34) assuming r is positive.\nAnswer: r**289","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8627?\nAnswer: 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, b: 1, a: 4, m: 11, h: 2}. Give prob of sequence hy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-5))\/((-9)\/30). What is the second derivative of 52*z**4 - 34*z - x*z - 13*z**4 wrt z?\nAnswer: 468*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3. Let p be d(0). Let h = -130 + 142. Let s = -14 + h. Put 1, p, s in decreasing order.\nAnswer: p, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 37 - -49)*(36\/(-39))\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(sqrt(1539)*4 - sqrt(19)).\nAnswer: 210*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -b + 8, -119*f + 120*f - 18 = -4*b. Suppose 5*g = 2*g + 6. Solve -b*o = -0*a + 4*a, -a = g*o - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149792, -149781, -149770, -149759, -149748?\nAnswer: -149737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-10))\/(14\/(-35)) - -145. Find the second derivative of 15*g**3 - f*g + 73*g + 100*g wrt g.\nAnswer: 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333 - -571. Calculate the common denominator of 43\/20 and -2 - (2 + z\/12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7777 minus 0.46?\nAnswer: 7776.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 6*l**2 + 5*l - 10. Let n be m(-7). Suppose 0 = -n*v + 20 - 0. Let c be (-4)\/(-10)*v\/6. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 0.5.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 289*y + 869*y - 294*y - 286*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 12:35 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 282. What is the third derivative of a - x*a**6 + 98 - 200 - 13*a**2 + 102 wrt a?\nAnswer: -3240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -359 + 357.964. Let h = -0.135 - -0.099. Let v = f - h. Which is smaller: -69 or v?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 101055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/3 + 22847*l\/3 + 167706 = 0. Calculate l.\nAnswer: -22, 22869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 4, 390, -3, -2 in descending order.\nAnswer: 390, 5, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1\/100*i**5 + 0*i + 0*i**6 - 1\/60*i**4 - 4*i**2 + 0 + 0*i**3 + 1\/1050*i**7. Factor s(h).\nAnswer: h*(h - 2)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*h + 66*h + 124 - 406 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + 67 - (-2 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:55 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d + 4. What is s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 177 - 323 = -320 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5*u - a**3*j*u**2 - 7*a**3*j*u + 3*a**2*j + 3*j - 2*u**2 - 4 wrt a.\nAnswer: -60*a**2*u - 6*j*u**2 - 42*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -6 - 17) + (92 - 82).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -936, -0.4, 39\/2, 2 in descending order.\nAnswer: 39\/2, 2, -0.4, -936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w = -4*x + 765 - 964, 0 = x + 6*w + 41 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 4, 0.13, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-1)\/260*-293. Let m = r + 1\/20. Let h = m - -46\/91. Which is the third biggest value? (a) 0.3 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1\/(-6*(-4)\/108)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -156 (b) -3 (c) -5 (d) 0 (e) -1\/4 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 3*p**2 + 0*p**2)*(3 - 2 - 3) + 1 - 5*p**2 - 1 + (-5*p - 3*p + 5*p)*(-p + 4*p + p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1378916972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 7, e: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5438 and 6267295.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 493 - 82. Let v = a - 75. Is 48 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5 - 17214254205?\nAnswer: -17214254190.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -0.5 (b) 5 (c) -42885\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68228 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -777 by 777.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1350793 micrometers?\nAnswer: 0.0000001350793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -48, 1.4, -1.2, -2\/9, 2\/9, -1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.78 to the nearest integer.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u + 6. Let q(l) = -7*l + 7. Let o(y) = -13*y + 13. Let v(h) = 6*o(h) - 11*q(h). Let i be -2 - 0 - 3\/(-1). Calculate i*j(s) - 5*v(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from svsdvjvvvvvvsv?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1103611 - -2251778. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -16. Let t be (17\/2)\/(d\/(-10)). Factor 3*h**3 - t*h + 6*h**2 + 0*h**3 + 20*h.\nAnswer: 3*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0829 - -6.7429. Let a = q + 10.29. Round a to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 7*t + 9. Let x be b(8). Let n be 39\/1*x\/3. Let g = n + -11. Solve -g*o + 4 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 - -152 - (-1 - -8) - (-4 + -1) - 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*x + 4633*x**4 + 1357*x**2 + 460*x**5 - 4633*x**4 - 24*x wrt x?\nAnswer: 27600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50121179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6509071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10797773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 13*x**2 + 48*x + 5. What is t(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1459 and -16035\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 2:57 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*s**2 + 9*s**3 + 136*s**2 + 17*s**2.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 2)*(-1 - 1 + 1) - 4 + 1 + 1 + 13 + 16 + 5)*(-32 + 32 + l)*(0 - 2 + 3)*(0 - 3 + 4) in the form y + o*l and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4 + 13859328*m**3 + 21342334909950*m**2 + 10955212590282285000*m + 10955191247961234375 = 0.\nAnswer: -1539925, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17720*f**3 - 253*f**2 - 17655*f**3 + 253*f**2.\nAnswer: 65*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -157.86 from -2316.52.\nAnswer: -2158.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91276?\nAnswer: 2, 19, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -263 and -569134991.36?\nAnswer: 569134728.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, 30, 457, 1286, 2649?\nAnswer: 4678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.1 (b) -3 (c) 3\/8 (d) 64 (e) 3 (f) -8 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*f + 1086 - 1111 = 0, 15 = -2*u - 5*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2 = 2*h, -8*l - 2 = 2*h - 10*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21267319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2945 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 18*x - 42. Sort 11, 0, x.\nAnswer: 0, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*a + 591*a + 4 = 0, x + 2*a = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 at least -82386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20131330 - -1401?\nAnswer: 20133231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**4\/8 - v**3\/2 - 3*v**2\/2 - 1. Let x(m) be the second derivative of d(m). What is the derivative of x(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-387)\/(-903))\/(6\/(-4)))\/((-1)\/(-1)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:32 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + 13?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7405042868412 and -29?\nAnswer: 7405042868383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -158\/1737?\nAnswer: -158\/1737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1364 + -578. Suppose i = 9*w - 3*w. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0 - 1\/4*r**5 - 1\/2*r**2 + 1\/12*r**4 - 1\/2*r**3 - 6*r. What is the tens digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2498*-0.03.\nAnswer: -0.007494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)\/q)\/((q*q*(q*q*q**(-1\/3))\/q)\/q))**(1\/3) assuming q is positive.\nAnswer: q**(-50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 + 2*s**2 - 10*s. Let t(h) = -h**3 + h. Suppose -5*w = -3*w - 12. Let p = -7 + w. Give p*d(l) - 10*t(l).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1)\/b)\/b**(-6))\/((b\/(b\/((b*b**4)\/b))*b)\/b*b**(-1\/7)*b*b*b))**(3\/5))**(-26) assuming b is positive.\nAnswer: b**(312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2054)\/(-7189) - ((-18)\/(-14))\/(3\/2). Let o = 14 - 13.7. Which is the biggest value? (a) t (b) o (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81768094, 81768092, 81768090, 81768088, 81768086, 81768084?\n\"Answer: -2*q + 81768096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -s - 476. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -2\/121, -862, 0.05?\nAnswer: -862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 151?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2657, 15, -29, 8 in increasing order.\nAnswer: -29, 8, 15, 2657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Suppose g = q - 2*q. Let d be (45 + 0)*(2 + q). Calculate the greatest common divisor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17360 is divided by 386?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*c - 98*c + 17 - 18.\nAnswer: -667*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**6\/60 - 116*u**5\/15 - 849*u**4\/8 + 9*u**2 - 84*u. Find the second derivative of p(z) wrt z.\nAnswer: 12*z - 928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13382.07816 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 + s**4\/2 - 5*s**3\/6 - 7*s**2. List the prime factors of h(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001657 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/84? (a) 0 (b) -4 (c) 7 (d) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 10409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 67*l + 4. Let w(n) = -n - 3. Calculate -o(p) - 2*w(p).\nAnswer: -65*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1194, 1199, 1212, 1233, 1262?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y**2. Let n(s) = -23*s**2 + 1. What is n(b(d))?\nAnswer: -2300*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 515 = 5*u - 63, -u = a - 164. What are the prime factors of a?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 18*i + 6*i + 0 + 45.\nAnswer: -12*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k)*(-k + k + k + (-4 - 4 + 4)*(-k + 2 - 2) - 1 + 2*k + 1 + (4 - 4 - 5)*(3*k + 4*k - 5*k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551696 is divided by 30424.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18580 + -18583. Sort r, 2, -26, 3, 22 in descending order.\nAnswer: 22, 3, 2, r, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 6*c - 7. Let m = 69 + -55. Suppose -m*o = -9*o - 15. Suppose -50 = o*y - 32. What is w(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(175))**2 - (sqrt(7) - (sqrt(7)*-1 + -1) - sqrt(7)).\nAnswer: -sqrt(7) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Suppose -3*m + 5*a - 2*a + 39 = 0, -a = -4. Suppose 8*k - m*k = -18. Let f(o) = 51*o**k - 86*o**2 + 40*o**2. Calculate f(j(v)).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48\/5*i + 0 + 4*i**2 - 2\/5*i**3.\nAnswer: -2*i*(i - 12)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/12857 + 1761445\/231426. Calculate the common denominator of -41\/432 and h.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239251289?\nAnswer: 11, 19, 811, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1140 and -151\/30?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let j(a) = -3*a - 2. Let r(z) = 133*z**2 - 1596*z - 1064. Let n(g) = -532*j(g) + r(g). Calculate n(q(s)).\nAnswer: 532*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/103 in 47\/9, -3, 1\/8, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-6))\/2)\/(((-10)\/77)\/((-25020)\/7645))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 3*y + 10*y + (-y + 2*y + 0*y)*(-4 + 0 + 5) + 2 + y - 2)*(1 - 3 + 0) + 3*y - 3*y - 3*y to the form w + k*y and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*t = -26 - 4, -t - 20 = -3*j. Let p(h) = 3*h**3 - 21*h**2 + 2*h - 11. What is the remainder when j is divided by p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -19 + (-3 - -6) + 11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 7311*j**2 - 7227*j**2 - 4*j in the form k*j + z*j**2 + u and give z.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*b - 16, 3*g + g + 5*b = 16. Let h = -46 + 58. Suppose -189 = 3*j - h*j. Solve -3*s - 2*s + j = g*u, -s = 5*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q. Let u(s) = -5*s - 20. Let n(c) = 5*c + 25. Let y(o) = -4*n(o) - 5*u(o). Determine 7*f(l) - 3*y(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*i - 147 = -2*q, 98 = 2*q - 3*i. Let b be (14\/q)\/(2\/42). Let l be (-423)\/(-7) - b\/14. Calculate the greatest common factor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 955*b - 416*b + 1625*b to d*b + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 231*h**2 + h**3 - 227*h**2 + 456*h**2 to x + y*h**3 + b*h**2 + n*h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p - 8. Give k(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 60. Suppose 0*t + a = 2*t. Suppose 0 = -t*o + 2*o. Solve -v + 2*k - 9 = o, 0 = 2*v + 2*k - 3*k + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3138749 and 100567.\nAnswer: 59636231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o + 21 = 5*c, -3*o = 6. Suppose 0 = c*w - 28*q + 33*q - 455, 4*w - 367 = -q. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3 + 101*a**2 + 761.\nAnswer: 12*a**2 + 202*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 4*x**2 - 4*x**2 - x**2 + 3*x**2 + 0*x**2 + (-1 + 3 - 1)*(-2*x**2 - 2*x**2 + 3*x**2))*(-36 - 13*x**3 + 36).\nAnswer: -39*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from myhmhjnj. Give prob of sequence hjhm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9850 + -3179. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.3412 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -322, -304, -288?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:30 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25*2\/(-5)*-1. What is the second derivative of 10 + 2*s + s**4 - r + s**4 wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 0.02 (b) -0.5 (c) 0 (d) -73 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1089533 * -5.\nAnswer: 5447665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5*k - 53, 5*m - 44*k + 41*k = -23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 314243 (base 5) to base 15\nAnswer: 31ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4876 - 675. Let r = 26996 + q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**0)**21)**(13\/4))**11)**1 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 - 31*b**3\/2 - 110*b**2 + 1496*b - 3360.\nAnswer: (b - 35)*(b - 4)**2*(b + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000908284703 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*z = -34, -3869*p = -3868*p - 4*z - 27. Sort p, -142, -5, 0 in decreasing order.\nAnswer: 0, p, -5, -142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -199*z + 653. What is the remainder when 689 is divided by m(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -7. Let s be (-1 - -4) + 1 + -2. Suppose -10 = -f - 2*m, s*m + 7 = f + 9. Which is the third smallest value? (a) g (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmsssms. What is prob of picking 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (28*16\/5488)\/(4\/14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**4 - 740*a**3 - 34584*a**2 - 32384*a + 67712 = 0?\nAnswer: -92, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263105.\nAnswer: 5, 101, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 24*g**2 - 145*g + 12. Determine v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-32)*v*(v\/v**(-16))\/v*(v**(-20))**42)**(3\/16) assuming v is positive.\nAnswer: v**(-2565\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2075445 and -2\/9.\nAnswer: 2075445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:54 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*z**4 + 9*z**2 - 112*z + 2.\nAnswer: 144*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 646, 1297, 2176, 3289, 4642, 6241, 8092?\nAnswer: 10201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/156*21\/14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87.6 - -249975348.\nAnswer: 249975435.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {k: 2, s: 1, v: 1, h: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472109731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 7, y: 1, b: 2}. Give prob of picking 1 y and 1 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7083, 7100, 7117, 7134, 7151, 7168?\n\"Answer: 17*n + 7066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23111?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by -4*(-2)\/4 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 54, -2 in descending order.\nAnswer: 54, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 4*l**2 + l - 3. Let x be f(-3). Solve 3*i - 5 = -2*m, -4*m + 19 = x*i + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50667493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 10. Let i be v(-5). Let u(o) = -4*o + 31. Let x(b) = -4*b + 30. Let f(p) = i*u(p) + 6*x(p). List the prime factors of f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {b: 1, v: 1, g: 2, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72092.8 rounded to the nearest one hundred?\nAnswer: 72100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -556 + 558. Solve 2*h - 4 = -y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/39*(15\/(-12))\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**2 + 19*w - 26. Let f = -50 - -38. Let y be t(f). Suppose -y - 3982 = -7*i. What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*x = 10, x = -106*r + 102*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 18*v + 1. Is 19 a factor of m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1639 - -1640. Let i = 2 + -5. What is the nearest to 0 in f, i, -18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35866632 divided by 158\nAnswer: -227004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74440*o - 6 = 74443*o, 0 = -3*p + 3*o + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.276 + -145.724. Let i = 149 + g. What is the nearest to 0.05 in 0.4, 6, i, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/345)\/(12\/(-9)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -445*h**4\/12 + 79*h**3\/2 + 21*h - 2. Find the second derivative of c(d) wrt d.\nAnswer: -890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*y**6 - 5*y**5 - 4141*y**2 - 1.\nAnswer: 2880*y**3 - 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33171, 36005, 38825, 41625, 44399, 47141?\n\"Answer: -a**3 - a**2 + 2844*a + 30329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*2\/(-3) - 2. Let n = 3 - v. Let h(o) = 1 - 4*o - 2 + 1. Calculate h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100320 and 320.\nAnswer: 200640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73641 and 3215657?\nAnswer: 9646971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 - -22.1. Let w = 17.3 - a. What is the closest to w in -0.2, 1\/6, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f - 5 + 34*f + 0*f. Let i(y) = -13*y + 3. Let x(o) = 6*b(o) + 11*i(o). What are the prime factors of x(5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 5*n + 67 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*f - 35. Let a = 38 - f. Sort -0.1, -0.2, a in ascending order.\nAnswer: a, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:22 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-5 + (0 + sqrt(1216) + -2)*5 + 0)*4)*3)**2.\nAnswer: -181440*sqrt(19) + 4413321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - -0.5. Let t = o - 3. Let m = -1 + 1.4. Which is the closest to 2\/5? (a) m (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**(-1\/2)\/n)\/n)\/n)\/n*n*n\/n**(-3)*n*n)**13\/(n**(-4)\/(n\/n**0)*n\/(n\/n**(-3\/4))*n**(-1)\/n*n) assuming n is positive.\nAnswer: n**(209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 2, 3, -9, 7, -14 in decreasing order.\nAnswer: 7, 4, 3, 2, -9, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 + 81 - 36) + 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.7 and 0.251.\nAnswer: 1.1797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {a: 5, x: 5, y: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35795 = 17*g + 6589. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3832 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*u - 15 = 0, -4*q - 17 - 31 = -2*u. Which is the nearest to -1? (a) -11 (b) -2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32258876 and 7.\nAnswer: 225812132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*(0 + sqrt(475)) - sqrt(475))**2 - 4*(-5 + sqrt(475))*-1) + 3.\nAnswer: 20*sqrt(19) + 11855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358159, -358160, -358161, -358162, -358163, -358164?\nAnswer: -358165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z**3 - 14*z**2 + 31*z + 5. What are the prime factors of b(8)?\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g + 4. Let f be j(2). Suppose 4*a = -q + 3*q - f, -3*q + 4*a = -39. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4 + 2*d**6 + 15*d**4 + 190 - 152 - 2*d**2 wrt d.\nAnswer: 240*d**3 + 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - f + 1 - 2.\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.4. Let i be (2\/36)\/((-2)\/8). Let z = 0.1 + -0.3. Which is the closest to h? (a) z (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = -4. Let q = -0.642 + -4.648. Let j = q + 0.29. Which is the second biggest value? (a) 2\/11 (b) -1 (c) h (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14691007, 14690999, 14690991, 14690983, 14690975?\nAnswer: 14690967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o - 1. Let r(m) be the first derivative of 5*m**3\/3 - 5*m - 1585. Determine -3*f(g) + r(g).\nAnswer: 2*g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11892899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10134 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*a - 59*z + 55, 0 = 5*a + 4*z - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -55?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnyy when four letters picked without replacement from {y: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34628849.\nAnswer: 19, 1822571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1, 2\/5, -23, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 37 - 5*k + 2*k - 7*k - 2*k. Let l be x(4). Solve 0 = 3*h + 5*v - 2 - 12, 2*h - 1 = l*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051813894?\nAnswer: 2, 19, 27679313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 89*p**2 - 57*p - 747. Let a(i) = 67*i**2 - 57*i - 747. Let l(u) = -4*a(u) + 3*s(u). What is l(68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -7\/60*s**6 + 0*s + 3 - 5*s**2 - 1\/6*s**3 + 1\/24*s**4 + 0*s**5. Calculate h(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80196 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.52745242 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 1 - 28*m - 1 + 66*m - 31*m in the form y + o*m and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 111*v**2 - 5*v - 5. Let r(g) = -56*g**2 + 3*g + 3. Let b(x) = 5*r(x) + 3*y(x). Let t(p) = p**2. Determine t(b(u)).\nAnswer: 2809*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.81 + -42. Let j = 1.89 - 1.9. Let q = j + m. Sort q, 4, -0.1 in descending order.\nAnswer: 4, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 0 + 0. Suppose 69*x = 73*x - 20. Let w(v) = -53*v. Let l(k) = -2465*k. Let h(o) = x*l(o) - 232*w(o). Determine q(h(y)).\nAnswer: -1682*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11823263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -f - 2, -6 = -s + 40*f - 37*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365418?\nAnswer: 2, 3, 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (-5 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-2 - sqrt(34)\/sqrt(2)*3 - -1*(sqrt(1377) + 1)) + -1*(-3 + sqrt(68)*-2)**2*6.\nAnswer: -1685 - 146*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6415649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 9*y - 28. Solve 0 = 4*d - 2*d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377137.1 millennia to centuries.\nAnswer: 3771371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011000111011111 (base 2) to base 3.\nAnswer: -22222021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 104*n - 808. Give z(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(2\/5)*p*p*p**(-1\/4)*p\/p**(-13)*p*p**(-4) assuming p is positive.\nAnswer: p**(283\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 1, v: 2, u: 4, l: 6}. What is prob of picking 1 l and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.873819498 - 0.8738. What is r rounded to 7 decimal places?\nAnswer: 0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 + 253. Let z(h) = h**3 + 9*h**2 + 7*h + 3. Give z(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 190, -251, 9.\nAnswer: -251, -10, 9, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 265*i**3 + 267*i**3 - 2*i**2 - 1179*i**3 + 175*i**3 + 273*i**3 + 11611 + 4*i wrt i?\nAnswer: -597*i**2 - 4*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 5720?\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3185765 is divided by 159276?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, m: 14}. Give prob of picking 2 z and 1 m.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 272022*f - 110505 wrt f?\nAnswer: 272022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 13*r - 54*r**2 + 20*r + 58*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:37 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*g**3*k**3 - 2*g**3*k**2 - 1927*g**2*k**2 - 2*g*k**3 + 24*k**3 wrt k?\nAnswer: -240*g**3 - 12*g + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)\/(sqrt(11) - sqrt(99)))\/((sqrt(11) + sqrt(396))*-1).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-306)\/51)\/(9\/(-9)*-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.021 - 21.021. Let j = g - -21.11. Let i = j - 0.11. What is the biggest value in 3\/5, i, 2\/17?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-5)\/(-12))\/((-860)\/(-14448))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 17*a - 2*a. Let x = a - -13. Suppose 2*i - 56 = -3*n + i, 0 = -3*n - 3*i + 54. Calculate the remainder when n is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 123*o**2 + 90*o + 9207. What is j(-61)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 729600 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 + 0.9. Suppose -10 = -w - 3*n, -5*w + 74 = 4*n - n. Let c be (-72)\/w - -5*1. Sort g, 8, c in descending order.\nAnswer: 8, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60705 (base 10) to base 11\nAnswer: 41677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 44*s - 33*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15283\/730 + 85\/73. Let n = -22 + l. Is n greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 8*v. Let z(k) = 3575*k. Determine u(z(o)).\nAnswer: 12780625*o**2 + 28600*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1968*j + 108254. What is d(55)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23539 - -23672. What is the greatest common factor of c and 448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = -8*o + 9*o, -5*o - 20 = 0. Sort g, 0.4, -0.4, 9.\nAnswer: g, -0.4, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50176841.\nAnswer: 11, 13, 350887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmvvvpmivtgtvvittt. Give prob of sequence vt.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1296*s**3 - 3460*s**3 + 1075*s**3 - 2850*s**3.\nAnswer: -3939*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**4\/9 - 12020*y**3\/3 - 710400*y**2 - 31806000*y = 0?\nAnswer: -8835, -90, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 + 99. Suppose -z + h*r = -194, -z = 4*z - 4*r - 1014. List the prime factors of z.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -248a55b9 + -5?\nAnswer: -248a55c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*u - 7*u = 113, -u - 190 = -2*f. Is 31 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4. Let p(d) = -48*d + 170. Let m(z) = p(z) + y(z). What is the remainder when m(2) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i - 2*i)*(2675*i - 767*i + 6305*i).\nAnswer: 16426*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9951 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 248, 0, -5 in descending order.\nAnswer: 248, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2 - 11*g + 3*g + 0*g + 3 - g**3. Let y be j(-6). What is the greatest common factor of y and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -1, 2 in increasing order.\nAnswer: -5, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 6 = 5*h. Let s = 6 + -3. Let d = s + h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4\/5 - 539720936*w**3\/5 - 24274891089540288*w**2\/5 - 72787043950779643430400*w - 727870342408236393910272\/5.\nAnswer: -4*(w + 2)*(w + 44976744)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 14*r + 14. Give c(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*sqrt(40)\/sqrt(4) + (2*sqrt(10) - sqrt(10))*-6)\/(sqrt(4608)*1))**2.\nAnswer: 7157\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -23782.52?\nAnswer: -23785.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1525 = 5*q, -q - 5*c = -2*q + 276. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*v**4 + 8*v**3 - v**2 - 2609*v wrt v.\nAnswer: 1128*v**2 + 48*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**5 - 7*i**4 - 39*i - 7. Let r(h) = h**5 - 2*h**4 - 13*h - 2. Let w(l) = -2*k(l) + 7*r(l). Find the second derivative of w(p) wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 58, 80?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(3*m - 14 + 14).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -d + 4*w, 5*w + 3 + 5 = -4*d. Let i be (d + -4)\/(8\/38800). Round i to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (41 + 4\/(-4))*-1. List the prime factors of 114\/10 - 24\/n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4446341 to the power of 1\/2, to the nearest integer?\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.2 + 5.29. Let i = -3.91 - w. Let s = 5 - 5.3. What is the biggest value in i, -7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3.2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 0)\/(2\/(-10)). Let l be (7\/(-14))\/(1\/m). What is the second derivative of -q - 2*q**5 - q + q**l - q**5 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 3, 9.\nAnswer: -4, -1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 854.528 - -0.472. Let h = a - 864.02. Let z = 1.18 - h. What is z rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78141 (base 10) in base 15?\nAnswer: 18246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4) + -5 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0842740413 + 0.8357885033. Let v = -17.248485418 - r. Let w = v - -18. What is w rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than -233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -462 + 511. What is the second derivative of -203 + 36*j + 39*j + f*j - 123*j + 59*j**3 wrt j?\nAnswer: 354*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569911901.\nAnswer: 13, 151, 290327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0621036 rounded to 4 dps?\nAnswer: -0.0621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -28*t + 8. Let h(p) = 38*p - 13 + 37*p - 122*p + 16 + 38*p. What is 8*h(v) - 3*r(v)?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/9*(-855)\/(-1995)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 13*r**2 + 3. Let u be f(-13). Let s = 2 + 0. Solve t = -s*t + u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m + 14. Give v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 10. Let o(p) = -8*p + 30*p - 3*p + 0*p - 2 - 2*p. What is o(f(i))?\nAnswer: -17*i - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*p - 144 = -173*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 9:51 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*s**3 + 0 + 2 - s**2 - 4 in the form b + y*s + n*s**2 + q*s**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stw when three letters picked without replacement from {s: 4, t: 2, n: 5, w: 2}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 11*f + 14*f + 4, 4*h = -5*f - 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 425*k**2 + 560*k**2 + 46*k**2 + 460*k**2 - 94*k**2 as o*k**2 + w + c*k and give o.\nAnswer: 1397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1.8 (c) 5 (d) 0.17 (e) 0.05 (f) 1\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:13 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r - 162. Give d(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l**2 + 66*l - 64. Let p be u(1). Factor -16\/5*a - 8\/5*a**2 + 2\/5*a**4 + p + 4\/5*a**3.\nAnswer: 2*a*(a - 2)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4858028 minus -0.3?\nAnswer: -4858027.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1694 - -1694.12. What is the second biggest value in 0, 1.8, 4, t?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h**4 + 0*h**2 - 2\/7*h**5 - 2\/7*h + 0 + 4\/7*h**3 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*p - 6150 = 3*p, 0 = -4*p. Let z = x - -1410. What is the tens digit of (-2)\/7 + z\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 5, g: 2}. Give prob of sequence gojo.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 22*t - 63. Give d(-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**2 + 9*i**2 + 334 - 128*i**2 + 57*i**2 + 19*i**2 + 21*i**2.\nAnswer: i**2 + 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168321 is divided by 1980.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29120)\/117)\/56*3\/(-30)*6.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 167407 + 49*m**2 - 167407 - 5*m as b*m**2 + r*m + i and give b.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-3) + -1)*(182 - -28). What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 - 2*s + 1. Suppose 0 = 5*y + h - 12, 0 = -1401*y + 1399*y + 2*h - 12. Determine c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23476805 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1057124 by -528562.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 4, 488*o - i = 489*o + 4 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 3*v + 2. Let h be x(-3). Calculate the least common multiple of 7 - 1*2\/h and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -17. Solve 0 = 3*f - 7*f - 5*y + 33, -4*f + o*y = 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10.09. Let x = -42428 + 42431. Sort 0.4, y, x.\nAnswer: y, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -1 - (-24 + 2 + 38 - (-10 - 1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*3\/9*(-6)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - v**3 - 2*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 796 and 694510?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46224962.\nAnswer: 2, 7, 97, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 35 = 2*g. Let i = -750 - -768. Differentiate 37 - 11 + g*s - i wrt s.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 19 - 21) + 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-3 - -1) + (-11 - -13). Solve 9 = -2*t - 0*q + q, 11 = -a*t - q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35488264?\nAnswer: 2, 7, 23, 59, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -2)\/(9\/(-18)). Solve b = -u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 + 98*o**4 - 97*o**4 - 3 + 4 - 2*o**3 + 2 to the form f*o**4 + i*o**2 + a*o**3 + w*o + g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -70*g + 156. Give l(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5435, 5359, 5265, 5165, 5071, 4995, 4949, 4945?\nAnswer: 4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29779, -59557, -89335, -119113, -148891, -178669?\nAnswer: -208447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (384\/(-28))\/(-4)*(-14)\/(-2). Suppose n*x - 23*x = 0. Let p = -2.6 - -3. What is the closest to x in p, -1\/7, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 36. Put d, 0, 2 in descending order.\nAnswer: 2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:56 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 17744205?\nAnswer: 17744201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-1\/4)*x)*x))**48\/((x*(x\/x**(-2\/5))\/x)\/(x\/x**(-4\/9)*x)) assuming x is positive.\nAnswer: x**(-493\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d**2 - 9*d**2 + 20*d**2 + 18*d**3 - 4*d**2 + 246*d**3 - 2*d + 60 wrt d?\nAnswer: 1584*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/8 (b) -1\/6 (c) 0.4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 34*u + 105. Let g be b(7). Solve -4*q + j - 15 = -g, -5*j - 10 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Let s = -29 + 31. Solve 7 = -s*p + 5*d, v*p + d = 21 - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2287521 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4)\/(6 - 2 - 18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (-9 - (-5 - -2) - -3)) + (4529 - 4517)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4590217 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2 + 107*m - 431. Let w(n) = -2*n. What is p(w(a))?\nAnswer: 32*a**2 - 214*a - 431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 6. Suppose -g + 4*g + 4*d = 10, 2*d = 2*g - 16. Let c be v(g). Suppose 0 = 3*t + 4*p - 2, c = 5*t - 5*p + 4 - 54. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7 + 14 + 0*j - 4 + 2*j. Let o be b(-7). Suppose 271 = o*n + 4*y, -4*n + 2*y + 247 = -n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 727, -7, -4, -2\/7, 0.09?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/5 and 61\/6325.\nAnswer: 6325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 46*s**2. Let l(x) = 2*x**2 + 6*x**2 - x**2. Let d(i) = 3*i**2. Let g = -276 + 267. Let k(w) = g*d(w) + 4*l(w). Give r(k(z)).\nAnswer: 46*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v - 94*v = -3*h - 126, 0 = 19*h + 4*v - 2*v - 62 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24741 is divided by 304.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 16*n**2 - 9*n - 9. Let g(k) = 2*k**2 - k - 1. Let w(o) = -18*g(o) + 2*s(o). Factor w(f).\nAnswer: 2*f**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pllqppz. What is prob of picking 2 l, 1 p, and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -12*s + 24*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 13. Let s = -47 + f. Let z = 33 + -131\/4. Which is the nearest to 1? (a) z (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22833756 divided by 104742\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124762280*g**2 + 22049557 with respect to g.\nAnswer: 249524560*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 89*u**2 + 1835*u - 428. Determine s(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 + 4329\/117)*(-1)\/(-124).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72159 is divided by 291.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 + 6 = 0. Solve -j*r + 20 = -4*d, -4*r = -2*d - 3*d - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10511888 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 65 = -12*l. Let z(w) = -5*w - 24. Let p be z(l). Solve 2*c - p = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.4, -3, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*w - 1 + 30*w + 13*w)*(-6 + 5 + 3).\nAnswer: 40*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/5 (b) 61\/3 (c) -0.04 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(52) + sqrt(13) + -2*sqrt(832) + -4.\nAnswer: -13*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5 + 188*o**4 - 208*o**3 - 1692*o**2 + 1710*o = 0.\nAnswer: -95, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 6. Suppose -5*d + 4*b + 323 = -2*d, 3*b - c = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903989.4 years to decades.\nAnswer: 90398.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2720 divided by 34?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j - 5. Let x be -5 - -1 - -3 - 12. Let v = 57 - 40. Let i(b) = 8 - 3 + 6 - v*b. What is x*o(y) - 6*i(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -26. Find the first derivative of 0 + 9 + w*b + 5*b + b wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -593*d**2 - 1038 with respect to d.\nAnswer: -1186*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(((-31)\/(-248))\/((-5)\/4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -201458, -201459, -201460?\n\"Answer: -f - 201457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52721 = 2*b + 4*u - 232235, 0 = -b + 3*u + 89747. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4 - 804796*k**2 - k + 17384 wrt k?\nAnswer: 12*k**2 - 1609592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-14) - (-204)\/68.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36266416 is divided by 755?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/190 - 10*u**4\/57 - 77*u**3\/57 + 242*u**2\/19 - 29*u. Factor g(j).\nAnswer: -2*(j - 2)*(j + 11)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1896309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (282 - 392) + (16 - -88)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 781, 1728, 3033, 4684?\nAnswer: 6669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/280657 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318462142 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1626*s**3 + 3*s**2 - 5*s - 6. Is p(-1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -14. Let r be 30\/125*q\/(-3). Which is the biggest value? (a) 4 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/1*(-9 + 8). Let s = 23 + z. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-1 + (4 - 4)). Suppose -4*i + 0*u = -2*u - 126, t*u = i - 27. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -439*b**3 - 2*b**2 + 463*b**3 + b**2 to n*b**2 + x + z*b**3 + f*b and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.5. Let n = 12 + -8. Let y = n + -3. Sort 0.1, y, k in descending order.\nAnswer: y, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*x**3 - 22*x**3 + 21*x**4 + (2*x**2 + 2*x - 2*x)*(-3*x**2 + x - x).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 14) to base 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 10:22 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + n = -410 + 389, -m - 5*n + 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -2\/15, 8, 4\/3, 1.7, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43816176629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/478621 and -51\/16.\nAnswer: 7657936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -9.86304.\nAnswer: -59.17824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*s = -271*s + 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23112 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3 = 11. Suppose -4 = i*o - 12. Solve 3*a - 15 = 3*r, -4*r = -o*a - r + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3490 + -3352. What is the remainder when 685 is divided by z?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 0*f + 0*f)*(f + 0 + 0) - 13342 + 22*f**2 + 13342 in the form z*f**2 + x + u*f and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 4*((1 + sqrt(17) - sqrt(17)) + 0 + 2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51227, 51108, 50951, 50744, 50475, 50132, 49703?\nAnswer: 49176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 6. Let n(t) = -14*t + 33. Let j(z) = 2*n(z) - 11*o(z). Let m(v) = 22*v. What is m(j(r))?\nAnswer: 110*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -4. Let g = 2.1 + l. What is the closest to g in 0.3, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -5 + -8 + -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbbbbblbbbbb. What is prob of picking 3 b and 1 l?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356 less than 2200.072772?\nAnswer: 844.072772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 3. Let d(c) = -c + 1. Let i(f) be the second derivative of -2*f**2 - 6*f + 0 - 1\/6*f**3. Let l be i(-9). What is l*d(h) + w(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -t + 21 - 16, -3*t + 8 = -4*p. What is the smallest common multiple of 1834 and t?\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 7*v - 21 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*c - 1223*c + 94380 = 167*c for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i + 12, -4*p + 308 = 5*i. Suppose -6*k + p = -50. Let n = -265\/12 + k. What is the biggest value in 0, n, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 8*s - 4. Let x(y) = -y. Let u(f) = h(f) + 5*x(f). Suppose -4*q = q + 20. What is u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(275\/(-10)) + 108\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*x - 2 - 41, 4*y + 5*x = -147. Let w = y + 49. Suppose 0 = 4*b - 2*b - 86. Calculate the remainder when b is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/35 + (-256)\/14. Let f = d + 29. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 481 and 2158.\nAnswer: 79846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383924 is divided by 2243.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) 13 (c) -2\/11 (d) -26 (e) 18 (f) -0.1 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 12 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 36832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 927 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 + -75869?\nAnswer: -75840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1351*y - 3252*y + 345*y - 1592*y to n + a*y and give a.\nAnswer: -5850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 198791152*p - 9879480528371776.\nAnswer: -(p + 99395576)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (194\/(-14))\/(36\/42) and (-1 - -10)\/((-11)\/3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50007 + -3?\nAnswer: -50012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, u: 1, d: 1, r: 2, j: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*r - 0*r + 13, 18 = 2*a - 4*r. Suppose -3*d + 5 = -1. Let m be (-9 + d)*(0 + a). Is -7 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3334 - -3595. What is the lowest common multiple of 9 and q?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from hhqebwelell?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmm when four letters picked without replacement from mmmmmmmmmmmgg?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 62*r + 24*r + 16*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/63 and -44\/2345.\nAnswer: 21105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -44a91?\nAnswer: 44a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 1)\/(6\/27). Let k = -29 + m. Sort -3, 1, k.\nAnswer: -3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1392389779*g**4 + 382902685.\nAnswer: -5569559116*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.02351 hours to milliseconds.\nAnswer: 241284636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49047 is divided by 141.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101856 + -58511. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.96 + 0.04. Let m = 272\/417 - -2\/139. Let p = -45 + 42. Which is the closest to m? (a) p (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669765 equal to 669711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:07 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 0) + (-237)\/(-24) and 41\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16557 + 16550. Sort 8, 4, f, -4, -3 in descending order.\nAnswer: 8, 4, -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -523*c**4\/12 - 7*c**3\/2 + c**2 - 70*c. Let r be a(-26). Round r to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 + 5*c - 13. Let m be x(-7). Let t = m + -50. Solve t = n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 164 = 16*g + 4*d, -5*g - 2*d + 230 = 0. Suppose b = 1 + 6. Calculate the remainder when g is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11224 + -10031?\nAnswer: -21310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 15 + 4)*(f**2 - 2*f**2 - 5*f**2 + (-f - 2*f + f)*(2*f - 2*f - 2*f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 5*g + 8. Let a be q(3). Solve -3*u - w + a = 0, -2*w = 5*u - 0*u - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f**4 + 3 + 2*f**2 + 31*f**4 - 14*f**4 + 5*f**3 - 5 - 3*f in the form u*f + r + k*f**3 + o*f**2 + x*f**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -427, -422, -415, -406, -395, -382?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/20*8 + -335 + 1. Let a = 363 + z. What is the remainder when 65 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from {n: 2, e: 17}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 6711?\nAnswer: 20133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/107)\/(321\/22898*107)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -19*j + 21*j + 527*j**2 - 529*j**2. Let n(c) = c. Calculate 6*n(p) - 3*t(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l + 30. What is u(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/15)\/((-3)\/(-9)). Suppose g*n = -d - 3*d + 162, -4*d + 5*n = -141. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**4\/4 + 1442577*c**3\/4 - 7934307*c**2\/2 + 11540859*c - 10098270 = 0?\nAnswer: -480870, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 195, 211, 227, 243, 259?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:55 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n + 3*a - 254, -3*a - 187 = -4*n. Let v be 4067\/84 + 1\/(-6). Let q = v - n. Sort -0.1, 1\/2, q in descending order.\nAnswer: 1\/2, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 711.4\nAnswer: -710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29012, -58006, -86984, -115940, -144868, -173762?\n\"Answer: i**3 + 2*i**2 - 29007*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -382?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, m: 11}. What is prob of sequence ms?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -14*h - 6. Let y be u(4). Let w = y - -105. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31442290 rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50531 and 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 + 14 = 4*g, -4*s + 28 = 3*g. Solve 8*h - s = 9*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 14 - p + 7 + p**2 - 21 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1331) + 1*sqrt(1331))*5 - (sqrt(1331) + sqrt(1331)*1)*1) + 5 + sqrt(132)\/(sqrt(108)\/sqrt(9)) + -3)**2.\nAnswer: 2136*sqrt(11) + 522810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (182\/(-364))\/(2\/(-356) - 0)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1011101010101111110010?\nAnswer: -1011101010101111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 24 = -66 + 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 11*u**2 + 11*u - 4. What is the remainder when a(-8) is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 115*z = -110*z + 12, 4*y + z - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 350 * 24704.\nAnswer: 8646400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -14*h + 150. Calculate the least common multiple of h and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 4*b = -5*o - 2, 5*b + 50 = -5*o for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 103*h + 45. Let s be w(9). Suppose -37*x = -39*x + s. Is x a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18566 divided by -9283?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 36*g - 241. Calculate s(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*g = 6, 4*g - 2 = -3*c + 5*g. Suppose -2*u + c = -4. Suppose -5*q + 155 = 4*i - 279, 0 = 4*q - u*i - 341. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3 + 12 = 2*h, -2*n - 4*h + 18 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1 + sqrt(288))*2 - (0 + sqrt(288) + -4 + sqrt(288))) + 2)**2 + -5.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00948632 to 4 dps.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168362?\nAnswer: 2, 84181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 26*s**2 + 738*s - 12361. Calculate t(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*a + 4*w = 144*a - 47, 0 = 2*a + 3*w - 5 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 3 - 0) + 0. Let u = 10 - 14. Let t = d + u. Is -2 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:19 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 12*g + 24*g**2 - 9 - 6*g - 61 - 2*g. Let i be z(23). Let y(c) = 5*c**2 - c. Calculate y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/7)\/(v*v**(-1\/4))*v**(2\/7)*v*((v**8\/v*v)\/v)\/v assuming v is positive.\nAnswer: v**(187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 15) to base 10.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 58 - 2*n + 69)*(-3 + 0 + 0).\nAnswer: 6*n + 249","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/6 - 3*w**3 + w**2. Let r(q) = -q - 3. Let s be r(5). Is p(s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -746? (a) -2 (b) -1\/6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + -8 - 18*1. Let b = p - -61. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**3 - 1. Let q(p) = 12*p - 13*p + 2*p. Calculate q(n(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764224 a multiple of 1253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -4884?\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from duukuudukuudpduu?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i**2. Let t(c) be the first derivative of 1\/12*c**4 + 7*c + 0*c**3 - 9 + 0*c**2. Let z(k) be the first derivative of t(k). Calculate z(x(g)).\nAnswer: 196*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3849704 rounded to 2 decimal places?\nAnswer: 5.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.31423 and 5.\nAnswer: 16.57115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555673498 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 107, 154, 203, 254, 307?\n\"Answer: y**2 + 42*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3341, 1890, -549, -3976, -8391, -13794?\nAnswer: -20185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*l - 40432 = -9610 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 16 = -6*v. Suppose 32 = 4*j - 4*w, w = -v*w + 15. Calculate the greatest common divisor of j and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*w + 5*w + 5*w)*(4*w - 3*w + 0*w) + w**2 - 2*w**2 - w**2)*(2 - w**3 - 2 + (-6*w + w + 3*w)*(-3*w**2 + w**2 + 3*w**2) + 0 + 0 + 2*w**3).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/4)*f**22*f\/((f*f*f**(17\/5))\/f)*f*f*f\/f**(-1\/23)*f)**(-2\/3) assuming f is positive.\nAnswer: f**(-3817\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, -1\/3, 3\/2, -0.07.\nAnswer: -5, -1\/3, -0.07, 3\/2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2 + (-3 - 1 + 2)*(-1 - 6 + 5))*(-17527 + 3097*q + 17527).\nAnswer: 6194*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.021\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 103, 162, 237, 334, 459, 618, 817?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.86? (a) 99 (b) -5 (c) -4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30679, -61306, -91933, -122560?\n\"Answer: -30627*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 5*r**2 + 10*r - 7. Let b(w) = -w**3 - 9*w**2 + 51*w - 9. Let h be b(-13). Let c(i) = -i**3 + 4*i**2 + 9*i - 6. Determine h*x(f) - 5*c(f).\nAnswer: f**3 - 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*v = 1 + 22, -3*c + v + 17 = 0. Let r = 29 + -22. Suppose 4*i = -4*q, -i = -3*q + r*q - 3. Calculate the lowest common multiple of q and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by 15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - 224\/(-3). Let q = y - 62. What is the least common multiple of q and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + r**3 + (-3*r + 6*r - 2*r)*(-6*r**2 - 16*r**2 + 0*r**2) + (-r**2 - 15*r**2 - 114 + 111)*(r - 6*r + 6*r).\nAnswer: -37*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5. Let t be -2 + 5 - (4 + 5 + -8). Suppose -4*p = -z + 3, z = 5*p - t + f. Solve -5*i - m = -p*i + 17, -2*m - 16 = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 2*k**3 - 3*k**3)*(-297*k - 151*k - 207*k - 89*k + 1093*k) + 126 - 13*k**4 - 126.\nAnswer: 336*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 779152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -17. Let a(i) = -2*i**3 + 4*i**2 - 7*i + 2. Let m(w) = -w**3 + 3*w**2 - 6*w + 1. Let s(h) = 2*a(h) - 3*m(h). Determine s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/o**(-2\/7)*(o**(1\/3))**(-37) assuming o is positive.\nAnswer: o**(-127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-29))\/(p**(-25\/6)*p)*p*p**(-35)*p*p**(5\/11))**1 assuming p is positive.\nAnswer: p**(41\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4 - 4*z**2 + 1 + 3*z**2 + 2*z**2. What is the remainder when 10 is divided by c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.7 - -10.3. Let k = 0.008 - 2.408. Let q = k + 5.4. Which is the closest to 2\/5? (a) q (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/7 - 148*t\/7 + 690\/7 = 0. What is t?\nAnswer: 5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13622 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13359 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 28*j**2 - 4*j**5 + 7*j**4 - 26*j**2 + 2*j**5 + (-3*j**2 - 3*j**2 + 3*j**2)*(j**3 - 5*j**3 + 0*j**3).\nAnswer: 10*j**5 + 7*j**4 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-4*-6 + sqrt(133) - sqrt(133))\/(-6*(sqrt(7) - -2*sqrt(7))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 19*g - 84. Calculate l(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/12 + 25*y**4\/12 - 15*y**3\/2 - 577*y**2 + 2*y. Suppose a(m) = 0. Calculate m.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1666?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 24*g**2 + 35*g - 113. List the prime factors of f(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89\/40 - -13\/8. What is the smallest value in 0, -4\/5, z?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from diacvec?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(3))\/sqrt(2) + sqrt(312)\/(sqrt(192) + sqrt(12)))\/(sqrt(98)*2 - ((sqrt(4) - -2*sqrt(4))\/sqrt(2) + sqrt(2))) + 2.\nAnswer: 3*sqrt(13)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78, -6, -292, -882, -1878, -3382?\n\"Answer: -17*n**3 + n**2 + 32*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00433304513 to 5 decimal places.\nAnswer: 0.00433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 383400 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-4)\/6*3. Let p(b) = -3 - 3*b + z - 3. Suppose -15 = -5*x, -17 = -r + 3*r - 3*x. Determine p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18657 = -2*i + 19003. Let j = i + -452041\/24. What is the common denominator of 113\/10 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2915864 and 2915864.\nAnswer: 2915864","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*4*(-12)\/(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 16*p**2 - 13*p - 113. What are the prime factors of j(-9)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103.06 - -406502.4.\nAnswer: 406605.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -1243813.4872022.\nAnswer: -1243813.4972022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -46 + -2 + -1 - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.75 - -0.78. Let d = 0.07 + x. Which is the nearest to d? (a) -0.5 (b) 16 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/84)\/(728\/(-1617) - 6\/(-11))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 1\/4, -0.3, -2\/3, 21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 56017?\nAnswer: 1008306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1780 = 522. Let m = -398 - u. List the prime factors of m.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -54480.\nAnswer: 1961280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257543 is divided by 6597?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 + 8. Let x be (-2)\/(-8) + 14\/(-56). Suppose -2*z - 3*z + 52 = 4*b, -2*z = -5*b + 98. What is the lowest common multiple of b and l(x)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x + 1110 = 0. Let b = 652 + x. 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: Which is smaller: 1\/3752731622 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 6*j + 4. Let p(o) = 3*o**2 - 17*o - 11. Let k(y) = 3*p(y) + 8*w(y). Determine k(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2812 - 2538 = 450*d + 5450 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(1134) + sqrt(1134) + sqrt(1134)*1 + sqrt(1134) + sqrt(1134))\/(sqrt(7) + -2*sqrt(7)*-1).\nAnswer: 46*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, d: 2, t: 1, k: 6, r: 1, z: 2}. What is prob of picking 2 k and 1 t?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405640, -405445, -405224, -404965, -404656, -404285, -403840?\nAnswer: -403309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -5*v**3\/6 + 3*v**2 + 33*v. Let s(k) = 10*k - 13. Determine 13*c(p) + 6*s(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/34 and -17\/77?\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 23879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let f = -3 - d. Let l = -3.35 - -3.15. Which is the smallest value? (a) f (b) l (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 244, 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 796347.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 32*q - 5. Calculate s(-33).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Suppose -x + 4 = n, 3*f - 2*x + 3*x - 838 = 0. What is the third derivative of -7*y**2 + 3*y**6 + f*y**4 + 8*y**6 - 278*y**4 wrt y?\nAnswer: 1320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 4*m = -693, -3*m - 1155 = -5*q. Let b be 1 + 18\/(-22) + 7119\/q. Suppose 5*p = -9 - b. Let y(x) = -x**3 - 7*x**2 + 7*x - 11. Determine y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 711, 1, -5, -4, -2, -1, 64 in increasing order.\nAnswer: -5, -4, -2, -1, 1, 64, 711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -q + 33, -24 = -4*n - 3*q - 2. Solve -3*p - 2 = n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b**2 - 30*b + 36. Let v be x(-31). Let o = v - -60. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1244045 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10348 + 19132. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1191*m**2 - 107123*m + 6035. Determine z(-90).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 21*r + 16*r = -26. Sort -3, r, 16.\nAnswer: -3, r, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1151 - 791. Let y be i\/4*(-6)\/(-4). Let t(l) = -l + 6. Let d be t(-9). What is the greatest common factor of d and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25906 (base 15) to base 10\nAnswer: 120156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 31. Determine w(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -712 + 727. Put -2, b, 11\/6 in descending order.\nAnswer: b, 11\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*o - 681*o - 1536 - 16076 = 0 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -122213?\nAnswer: 122302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347553 by 6.\nAnswer: -115851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*l + 165, 6*f = 2*l + 3*f - 117. Suppose -d - 2*d - 3*n = l, 5*n + 48 = -2*d. Which is greater: d or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.311 centuries to months.\nAnswer: 103573.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 11*u + 30. Let w be m(4). Let b be (w\/9 - 66\/54)*-5. Solve 8*q = 9*q - b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + r + 5, -15 = -4*j + r - 2*r. What are the prime factors of (11\/2)\/(j\/8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + 61. Calculate the common denominator of ((-8)\/(-20))\/(y\/(-1725)) and -139\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278490729 a multiple of 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j - 0*j. Suppose 0 = j*r + 3*q - 35 - 7, q + 51 = 4*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 5*f**2 + 52*f**2)*(0 + f + 0) - f**3 + 2*f**3 - 3*f**3.\nAnswer: 50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2\/3 - 25688*d\/3 - 25684\/3 = 0.\nAnswer: -6421, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97501 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*q = -861*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 + 2*q**2 + q - 2. What is y(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27786007 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/(-4 + 13) - 2\/14 and (-1008)\/684 - (0 + -1)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 36*p**2 + 2*p + 2. Let f = 121 - 122. Calculate the smallest common multiple of v(f) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 8854.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/307 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 - d - 25*d**2 + 7*d**2 as v + r*d + j*d**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/8 (b) -1967 (c) -3\/242 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + v + 150 - 116 = 0, -19*a - 148 = -2*v for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2065 and 1624270.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/65 (b) -12 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4461112, 8922313, 13383514, 17844715, 22305916?\n\"Answer: 4461201*s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h**3 + h)*(8828 + 5237 + 2816).\nAnswer: 16881*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -19*l**2 - 5*l - 7. Let o be w(-2). Let k = -41 - o. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2473740 and 5850?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 9632 = -21*p + 46*p. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**2 - 2\/3*d**3 + 62\/3*d - 28.\nAnswer: -2*(d - 14)*(d - 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/20 and -41\/34328.\nAnswer: 171640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163619569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -62. Let z(v) = -v**3 - 14*v**2 - v + 2. Let f be z(i). Solve 0*j + 4*c = 2*j + 16, j - f = -4*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7693 and 2983?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 48. Which is bigger: x or -36?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3396 divide 170876532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916 a factor of 190503355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -34*p. Let v(x) = 43*x - 2. Determine o(v(h)).\nAnswer: -1462*h + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b, -b + 14 - 40 = 5*a. Let n(r) = r**2 - r - 6. Let q(c) = -2*c**2 + c + 7. Give a*q(j) - 7*n(j).\nAnswer: 5*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 1. Let l = -25 + -64. Let f = 87 + l. Calculate z(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44222 (base 6) in base 12?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172.6 + 172.6. Sort a, 1\/166, -2 in increasing order.\nAnswer: -2, a, 1\/166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n**4 - 1551*n**3 - 6357*n**2 + 1551*n + 6348 = 0.\nAnswer: -4, -1, 1, 529\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*52\/(-572)*(-3*1)\/(-3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/708 and -123\/40.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12322689*t**2 - 5*t - 162415.\nAnswer: 24645378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.029 + -32. Round d to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 42209*f + 759432. What is l(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*i - 8787*i**3 + 8791*i**3 + 0 - 3*i**2)*(-1 + 0 - 5).\nAnswer: -24*i**3 + 18*i**2 - 12*i - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.26083 tonnes in kilograms?\nAnswer: 29260.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n. Let v(p) = 34*p + 6. Let r(d) = 203*d - 14 + 17 + 32. Let t(a) = -6*r(a) + 35*v(a). Calculate h(t(g)).\nAnswer: -140*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -8 - -1) + -6 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 68. What is the remainder when 28 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/70*5)\/(2\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78a9aa - -1?\nAnswer: -78a9a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-3\/8)\/p)\/p))**(-4\/31))**(2\/119) assuming p is positive.\nAnswer: p**(-27\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1759 - 1789 = -2*b. Solve -4*z - d = -0*z - 7, -b = -5*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39159666.\nAnswer: 2, 3, 7, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/471122 and 73\/22.\nAnswer: 5182342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -6, 12, 8 in descending order.\nAnswer: 12, 9, 8, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -870 - -4?\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**5\/60 + w**4\/4 + 10*w**3\/3 + 5*w**2. Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35892\/5 + 7181. Let n(z) be the first derivative of 0*z**4 + 0*z - r*z**5 - 15\/2*z**2 + 0*z**3 + 19. What is the second derivative of n(m) wrt m?\nAnswer: -156*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9289.309 to 0 decimal places.\nAnswer: -9289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.8, -6.\nAnswer: -6, -0.8, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**7\/126 + q**6\/30 + q**5\/60 - q**4\/12 - q**3\/9 + 37*q. Factor i(y).\nAnswer: y*(y - 1)*(y + 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86549335 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2)\/(-9) + 382687\/42. Let k = -9105 + v. What is the common denominator of (0 - (-36)\/(-16))\/(282\/(-68)) and k?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2303343 rounded to four dps?\nAnswer: -0.2303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + n + 1. Let k = 37 + -41. Let l(t) = 2*t**2 - 4*t - 8. What is k*u(c) - l(c)?\nAnswer: 2*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -16*c**3 - 124*c**2 - 276*c - 144 = 0?\nAnswer: -4, -3, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-12) - (-85)\/51. Solve -2*f - 2*k + 14 = 0, 9*f - 5*f - k - 13 = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8965897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649789.\nAnswer: 19, 31, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Let x be q(4). Let b be (305\/(-244))\/(1*2\/(-8)). Find the second derivative of 5*t + t**x - 10*t + b*t**3 wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 27 + 33. Calculate the lowest common multiple of x and (-126)\/(-16) + 5\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/30 and (-2)\/((-4)\/(-2)) - (-884)\/(-39).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, 396, 2636, 6984, 14142?\nAnswer: 24812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124415810.\nAnswer: 2, 5, 12441581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Suppose -2*i = 5*g - 7*i - 25, -5*g + 2*i + 16 = 0. Suppose g*q - 4 = -4*j, -2*j = -8*q + 4*q + 8. What is y(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -116121 (b) -3\/5 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/74 and 27*((-10)\/75 - 1\/3).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4069, -4006, -3837, -3508, -2965, -2154, -1021?\n\"Answer: 9*o**3 - o**2 + 3*o - 4080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001361079592 to 7 dps.\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - 89\/3. Let f be 200999996\/h - 2\/15. What is f rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 14*u**2 - 15*u - 19. Let t be 100\/(-8) + 4\/(-8). Let r be v(t). Suppose -764 = 3*h - r*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 + -4.382. Let r = u + -0.1046. Let l = r - 0.01561. What is l rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39983*s + 39983*s - 5*s**2 + 6 to the form i*s + h*s**2 + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 5*k**2 + 6*k + 5. Let u be p(4). Let b = -15 + u. Let m(z) = -89*z. What is the remainder when m(b) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -147*r + 2. Let i(d) = -156*d - 153*d + 305*d - 3. Let u(a) = 6*a + 5. Let j(x) = 5*i(x) + 3*u(x). What is m(j(b))?\nAnswer: 294*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k*k**(-4)*k)**21 assuming k is positive.\nAnswer: k**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-1 - (-24)\/16). Suppose -5*n + 2*c + 6 = -n, c = 4*n - 3. Suppose 0 = -n*z - z, -2*y - z + 20 = i. Solve 0 = -g - 4*u - y, 5*g + u = -u + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3122001 (base 4) to base 10.\nAnswer: 13953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9813.025 centuries in months?\nAnswer: 11775630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 4*c**2 + 2*c**3 + 4*c**3 + 9*c**3 - 4*c**3 + (3*c**2 - 4*c**2 - 3*c**2)*(-6*c + 8*c + 4*c).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 833 and 2124983?\nAnswer: 2124983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 12*u**2 + 2*u - 21. Let i be o(12). What is the highest common divisor of i and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 - -176?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2\/7 + 1398*r\/7 - 59085\/7 = 0?\nAnswer: -505, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204294519 to the power of 1\/2, to the nearest integer?\nAnswer: 34703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6963989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3)\/s**(3\/7))\/(s**(-1\/2)*s*s**(-1\/4)*s))\/((s\/s**(2\/5))**(-6\/23)*s**3\/((s*(s\/s**(-1))\/s*s)\/s*s)) assuming s is positive.\nAnswer: s**(-8263\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*j - 1 - 13*j - 11*j)*(-j**3 - j**3 + 5*j**3).\nAnswer: -12*j**4 - 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1592657273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37712 is divided by 5441.\nAnswer: 5066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 60 = 60 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20030 + -20131313?\nAnswer: -20111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(-1\/24)\/(z**(4\/7)\/z**(2\/9)) assuming z is positive.\nAnswer: z**(-61\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -99 and -99 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284841303 to the power of 1\/2, to the nearest integer?\nAnswer: 35845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 1361*w**2 - 21260*w + 79. Calculate u(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168508451 and 27079?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 8:50 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k + 4 = 0. Let o(h) = 0*h**2 + h**3 - h + 2 + h**2 + 3*h**2. What are the prime factors of o(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77951933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1365122 (base 10) to base 6\nAnswer: 45132002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - t - 77285, 2*d - 77284 = -0*d + 2*t. Suppose -6709 = -8*u + d. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -66*r - 2. Let u be d(-1). Suppose -15*q = 17*q - u. Solve 0 = -5*w + 4*t - 25, -3*w - q*t = 3*t + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o + 119 - 273 + 154 - o. Let b(n) = -192*n**2. Calculate l(b(r)).\nAnswer: 768*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/20 + x**4\/4 + 12*x**2. What is the second derivative of h(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(66) + 2*sqrt(66)*-6 + sqrt(66) + -5*(1*sqrt(66) - sqrt(66)) + sqrt(66))\/(sqrt(480)\/sqrt(5) + sqrt(600)*-2).\nAnswer: 27*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 17. Let b(u) = u**2 - 11*u + 86. What is 2*b(s) + 11*k(s)?\nAnswer: 2*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*a + 17545 + 8690 = 5747. Calculate the greatest common factor of 1016 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 0, 2, 0.09, -1, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50488, 50442, 50388, 50326, 50256, 50178, 50092?\n\"Answer: -4*o**2 - 34*o + 50526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190699623860114 + 5.\nAnswer: 190699623860119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/5 and -3 - ((-207)\/(-8))\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -5 (c) -17 (d) 0.4 (e) 1\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -318*k + 802*k - 122*k**4 - 2 - k**2 + 308*k wrt k.\nAnswer: -1464*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5824.5279 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*j**4 + 9*j**2*r + 5*r + 7 wrt j.\nAnswer: 40*j**3 + 18*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dew when three letters picked without replacement from bedrbrdw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712508.\nAnswer: 2, 178127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from olliilooflomfiomom?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366 - 375 + 8*k**2 + 1841 - 356 - 367 - 373.\nAnswer: 8*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384540 is divided by 494.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201000000 (base 3) in base 9?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*l - 44*l**2 + 18*l + 51*l**2 to the form h*l**2 + i*l + t and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z - 3*x + 49, 2*z - 20 = -x. Calculate the smallest common multiple of 9 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -216, -2\/5, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2388 and 2786.\nAnswer: 16716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 2*w**3 - 5*w**3)*(432 + 695 - 414).\nAnswer: -4991*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18887215 divided by -121853.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:58 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.1 (c) -3 (d) -1.1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*18\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. What is the tens digit of (0 + 28)*2\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 11*v**3 + 48*v**3 - 28*v**3 - 36*v**3.\nAnswer: -5*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 7. Suppose 8*v + 9 = 89. Let o be p(v). Which is the smallest value? (a) -2 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}