diff --git "a/data/dm_maths/full_data_2/11023_11255.jsonl" "b/data/dm_maths/full_data_2/11023_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11023_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n(d) = 3*d**2 + 2 - 4*d**2 - 4*d**3 - 5 + 2*d. Let z(g) = 7*g**3 + 2*g**2 - 4*g + 5. Let s = -1453 - -1448. Give s*n(a) - 3*z(a).\nAnswer: -a**3 - a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*q - 2*q - 6, -6 = -3*f + 3*q. Let g be 6\/f*1\/3. What is the units digit of g - (0 + -4*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80922, 80971, 81102, 81357, 81778, 82407, 83286?\nAnswer: 84457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119738 is divided by 6988.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*o, -11*t + 4*o + 49270 = -9*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*i**4 - 15*i - 178178 wrt i?\nAnswer: 112*i**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/107 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 - 226 = -419*n. Solve -37*h + 32 - 143 = n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/68 or 10?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frffgqqqjjrrrqqgf. Give prob of sequence jff.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let y = -11 + 27. Suppose 0 = 3*h - 26 - y. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**2*t**3 + 357217*s**2*t**2 - 36120498*t**3 wrt s?\nAnswer: -2*s*t**3 + 714434*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 13. Suppose -6*w = 20 + s. What is the units digit of (15\/w)\/((-3)\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51 and -11528057.\nAnswer: -11528006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**5 + 29*g**4\/12 + 268*g**3\/3 - 4464*g. Find the second derivative of l(p) wrt p.\nAnswer: -120*p + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2208*a**2 - 571*a + 25. Is x(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 89*o - 500 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 6770 and 6770 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -1295*r**4\/4 + 1616*r - 1775. Find the first derivative of i(y) wrt y.\nAnswer: -3885*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8617379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*i + 7. Determine d, given that -2*d**2 + d**2 + 4*d**2 + 2*d + d**i = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 297, 576, 833, 1056, 1233, 1352, 1401, 1368?\n\"Answer: -2*u**3 + u**2 + 290*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*t - 969 = 0, 1467 = 10*p - 7*p - 3*t. Let s = -368 + p. What is the remainder when s is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 5. Let f(r) = 3 - 3 - 5 + 6. What is -d(a) - 2*f(a)?\nAnswer: -2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 4142.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**5\/60 + h**4\/2 - 289*h**3\/6 - 245*h**2. Differentiate i(b) wrt b.\nAnswer: 2*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 15864 = -5*v + 15816, 2*v + 20 = f for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 228, 506, 884, 1356?\nAnswer: 1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399 + 395. Let d be 68\/16 + 12\/(-64)*h. Solve -o + d*o - 15 = y, -y + o = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400086083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26397 = 3*b - 3*j, -5*j + 0*j = 3*b - 26405. What is b rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/99 and 68\/351.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:54 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l - 13. Let s(o) = 5*o + 11. Let c be s(l). Suppose 92 = 4*u + 4*w, -3*u + 4*u - c = 5*w. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - 4 + 4 - 1)*(1 - 16 + 8) to z*v + i and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 12*m**2 + 11*m + 5. Let o be b(-11). Suppose 2*s = 3*p + o*s - 102, p + 3*s = 32. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, v: 3}. Give prob of picking 3 f and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x + 117. What is a(0)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -629.936634 rounded to 1 decimal place?\nAnswer: -629.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1491, -2983, -4477, -5973, -7471?\nAnswer: -8971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - -2 - (-6)\/(-2). Let o(w) = 0*w**2 - 3*w**2 + v*w**2 - 5*w**2. Let j(d) = 0*d**2 - 2*d**2 - d**2 + 5*d**2. Give j(o(b)).\nAnswer: 50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 31*c**2 - 11*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57698, -57694, -57690?\nAnswer: -57686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/15)\/(-3 - 2 - -3)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7052 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.23 - -39.23. What is the closest to t in -14, -2\/9, -0.04, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -125*y**3 - 3*y**2 - 2*y - 1. What is g(-1)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -965, -3, -2 in descending order.\nAnswer: 5, -2, -3, -4, -965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 162*z - 82*z - 81*z. Let s(v) be the second derivative of -v**4\/8 - v**2\/2 + v. Let f(o) be the first derivative of s(o). Give p(f(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 1, n: 2, j: 1, m: 1, h: 1}. What is prob of picking 1 h and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 877 - -2436. What are the prime factors of t?\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.66 + -3.39. Let t = y + 1.23. Suppose -1 = 2*m - 3. What is the second biggest value in m, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7*(-1)\/(-2)*(-2935 - (-4 + 3)).\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7723\/40 + 958\/5. Calculate the common denominator of (1\/11)\/(((-32)\/(-92))\/(-2)) and b.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*x**4 + 51*x**4 + 2*x**3 + 14*x - 4*x**3 to the form v*x + n*x**2 + a*x**3 + q + z*x**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26434395 divided by -677805?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:27 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/2730*290\/(-4). Let o = 10\/7 + b. Suppose 5*r = 4 + 6. What is the closest to 2\/3 in 3, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -379 or -1495?\nAnswer: -379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-745)\/149*39\/(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-14)*(1980\/(-144) - -14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5792639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19427858?\nAnswer: 2, 953, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2523*h + 1814037. Give a(-719).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -238, -0.1, 1, -3, 0.0353, -8, -0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/8*12\/10. Suppose x*a + 26 = 4*a. Calculate the remainder when 85\/2*24\/20 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14351 in 3, 1\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 8 - (6436 + -6437) - (89 - 2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8770116 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 267*l - 27. Let h(d) = 4*d + 8. What is 5*h(v) + j(v)?\nAnswer: 287*v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228903\/136 + -13271\/8. Which is greater: l or 24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:20 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -2222122?\nAnswer: 10000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 4\/18 + 2314\/117?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 90535.1g?\nAnswer: 90535100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, 0.3, -2.61?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 13 = 3. Solve 0 = -2*q + 4*z + 6, q - 19 = c*q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 6:10 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z + 2*z**2 + 0 + 1\/8*z**4 - 7\/6*z**3. Calculate the remainder when 26 is divided by n(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k + 5*k + 0*k - 10*k to w*k + b and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 1890*n + 1122*n + 768*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*x = 1198080, -1006*x = g - 1010*x - 399381. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/1352, 4, 5\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose -v = -k*v + 1. Let y = -3.9221 + -0.0779. What is the closest to v in -2\/15, -5, y?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841201694?\nAnswer: 2, 193, 2179279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*300.6\nAnswer: -150.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, 24, 63, 110, 159, 204?\n\"Answer: -x**3 + 13*x**2 - 7*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 89784\/168 + 6\/(-14). Factor -8405 - 5*z**2 + y*z - 704*z + 576*z.\nAnswer: -5*(z - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**4 + 1262*k**3 + 2361*k**2 + 944*k + 4225. Factor g(h).\nAnswer: 2*(h + 1)*(h + 472)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 16*p + 245. Calculate i(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7425835, -7425836, -7425837?\n\"Answer: -h - 7425834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1a3 - 339?\nAnswer: -b50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 350 = 5*i. Suppose -7 = 5*n - 3*r + 62, -6 = 3*r. Let z be n\/2*(-8)\/6. Calculate the greatest common divisor of i and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + ((-44)\/(-4) - -3). Suppose 2*n + 2 = 2*i + 4*n, 3*i - n - v = 0. Let x = 8 - i. Calculate the least common multiple of x and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023 (base 4) to base 11.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 57.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**3\/21 + 46*g**2\/7 + 188*g\/7 - 389. Factor i(b).\nAnswer: -(b - 94)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.55 + 0.05. Let r = 0.01 - -0.69. Let z = i + r. Which is the third smallest value? (a) 2 (b) 1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88 and 5.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 266*q + 776*q + 43418 - 7990 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 9*f + 13. Let l be m(-6). Let r = 28 - l. Let h = 5 + -7. What is the third biggest value in h, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25927771 is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 703915 + -54915. Round s to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2538*b - 1267*b - 1269*b = 2*v - 122, 2*v - 115 = 9*b for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 89*t**2 - 35*t - 2639. Determine b(-89).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -2\/3 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -100193.543340356.\nAnswer: -100193.523340356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i + 4*s + 179, s - 314 = 2*i. Let k = i + 321. Suppose -21*t + 18*t = -k. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -1\/5, -0.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 226.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41868 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2*s**2 - 1104*g*s**2 - 298*s**2 wrt g?\nAnswer: -2*g*s**2 - 1104*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*-1*2*sqrt(1216))**2 + (sqrt(19) + sqrt(171)*-2 + sqrt(684)*2)**2).\nAnswer: -528105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -64 - (12\/4 + -2)*-4. Let l = w - -87. Let o be 1800002\/9 - 6\/l. What is o rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -2133?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/7 of a week?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2790 divided by 465\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3545206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + 56 + -60 - -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 4, -5, 0.1, -3, 1, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + 11022?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 - 12*s**2 + 25906*s - 4*s**2 - 25906*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-45))\/(17\/(-510)). Let j(h) be the first derivative of 6\/5*h**5 - 2*h**3 + 0*h**k + 2 - 1\/2*h**6 + 3\/2*h**2 + 0*h. Factor j(n).\nAnswer: -3*n*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10745 a factor of 3231390228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 6*n**2 + 8*n - 5. Let t be q(5). Let a be (8\/(-10))\/(t\/(-75)). Suppose -a*j + 129 = -3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a micrometer in nanometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.191 + 0.039. Let j = -0.089 - 0.041. Let q = t + j. Which is bigger: q or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 14. Let x = 8 + -8. What is the smallest common multiple of 6 and v(x)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 11*l**3\/3 - l**2 + 20*l. Let z(f) = -4*f. What is r(z(g))?\nAnswer: -88*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.012 - 0.012. Let r = g - 20.89. Let k = r - 0.1088. What is k rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1909*u - 12. Let q(g) = 477*g - 3. Let w(d) = 2*b(d) - 9*q(d). Is w(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 3*t + 0*t + (-1 + 3 - 4)*(6 - 13 + 10)*(477 - 500*t - 477) as z + a*t and give a.\nAnswer: 2999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48364750 a multiple of 1906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.169 + -35.669. Let r = a + 35. Let b be (-2)\/4*(-2)\/5. Put r, b, 4 in increasing order.\nAnswer: r, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-22)\/114 - 6\/(-57)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((26\/12)\/(50\/(-40)*(-16)\/40)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95788237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 447*f**4 + 5*f**3 + 5*f - 143199 wrt f.\nAnswer: 1788*f**3 + 15*f**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 1104 = q, 8*q - 558 = 10*q + 2*g - 7*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 1)*(4*j + j - 3*j) + (-2*j + 0*j + 3*j)*(1 + 0 + 0) + (3*j + 7*j + 14*j)*(-1 - 2 + 4) in the form s + u*j and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 337752?\nAnswer: 1013256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 74385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 442 = 3*q + 415, 15 = 3*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308617.\nAnswer: 19, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 2. Let y be g(-8). Let a be 1\/(-1)*1*-4. Let n = a + y. Sort -1, -3, n in decreasing order.\nAnswer: -1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - -1.17. Suppose g = 5*f + 84, -4*f - 4*g - 56 = -8. Let l be f\/(-21) - 13\/((-78)\/(-8)). Sort l, -9, b, -0.5 in increasing order.\nAnswer: -9, l, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(2 - (-9)\/(-6)). Let c = -5161 + 31087\/6. What is the common denominator of c and (10\/(-12))\/(1\/i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -86, 22, -11 in decreasing order.\nAnswer: 22, 4, -1, -11, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w + 42 - 212 = 0. Solve -w*o - 20 = 0, 2*q - o - 4 = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3345 divided by 1115.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*s - 156*s = -72*s - 75582. What is the highest common divisor of 114 and s?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22691*f + 1000*f**3 - 11808*f**2 + 19675 - 28*f**4 - 5851 + 67619*f.\nAnswer: -4*(f - 12)**3*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*-4 - sqrt(55)\/sqrt(11)*2.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:52 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.19, -134, 0, -19\/6?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 26186420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101001 - 1110110000001?\nAnswer: -1111100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 30*l**2 + 16*l - 112. Let b be r(30). Suppose 4*c = -348 + b. Solve -4*f - 24 = -4*k, k + c + 13 = -5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56\/3, 4, -2, 2\/17, 0.549.\nAnswer: -2, 2\/17, 0.549, 4, 56\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 31.58.\nAnswer: 189.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 577.62+-0.0753332986\nAnswer: 577.5446667014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8353000 to the nearest one hundred thousand.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -16426?\nAnswer: 16425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, u: 2, h: 3}. What is prob of sequence hh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 11?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -245, -396, -547, -698, -849?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68c4 + -8?\nAnswer: 68bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*v, -3*v - d - 5*d = -9*d. Which is bigger: v or -1\/301?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -3 - (20 - (-7)\/(-35)*5). Let w(b) = b**3 + 14*b**2 + 3*b + 32. Calculate w(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 l, and 1 u when three letters picked without replacement from uufzlufenuzn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1453.2 + 5040. What is y rounded to the nearest ten?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 7*p**2 - 8*p + 3. Let j be q(6). Suppose -5*h + 4*n = 70, -3*h - n = -6*n + 55. Let w = j - h. Solve -f - w = -0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.1 (c) 0.5 (d) -5 (e) -2155\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k. Let p(y) = 4613333*y**2. Give p(x(f)).\nAnswer: 18453332*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeygxse. Give prob of sequence ax.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 85.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169605337?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 6*h + 5 - 10*h. Let o(t) be the second derivative of t**3\/3 - 2*t - 2104. What is o(r(m))?\nAnswer: -34*m + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2640, -2639, -2638, -2637, -2636?\nAnswer: -2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-14))\/((-24)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -118834, -4, -18, 0 in decreasing order.\nAnswer: 0, -4, -5, -18, -118834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-53.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(931)*-1 + sqrt(931) - sqrt(931))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 2\/39 in ascending order.\nAnswer: -3, -0.4, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -969 - -431.1.\nAnswer: -537.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/5 + (-4)\/10. Suppose -5*h + 10*h = -4*z + 5, -2*z = -4*h - 22. Let q(c) = 2*c - 6. Let j(r) = -2*r + 5. Determine h*q(a) + l*j(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*a - 12, d - 28 = -5*a - 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7998 + -7975. Calculate the remainder when 451 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1141, 1070, 871, 478, -175, -1154, -2525, -4354?\n\"Answer: -11*p**3 + 2*p**2 + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 367384 and 48.\nAnswer: 2204304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -46, -111, -202, -319, -462, -631?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -104514 (base 7) in base 3?\nAnswer: -221021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1 + 2*x**2 + 8 - 8. Suppose -q + 5 = -3*g, -3*g = -2*q - 2*g + 15. Suppose 0*z = -4*z - q. Give n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00063629409 to seven decimal places.\nAnswer: 0.0006363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8767398, -5, -1 in increasing order.\nAnswer: -5, -1, 2, 8767398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -6 - 2\/((-84)\/(-8) - 10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 15*j + 3, -2*l + 2*j = -2238. Calculate the greatest common factor of 516 and l.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1311 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t = -t. Let f(d) be the third derivative of 0*d**3 + t - 3*d**2 + 1\/360*d**5 + 1\/72*d**4 + 0*d. Factor f(k).\nAnswer: k*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (-24 + 21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1478708 and 43\/2419704?\nAnswer: 26616744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8575927276?\nAnswer: 2, 7, 43754731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvgvgvvggv. What is prob of sequence gvv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -498, -503, -510, -519, -530?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 55*u + 57*u + 17, -4*o + 2*u = 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9920104.83 rounded to the nearest 10000?\nAnswer: 9920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 10:55 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114226?\nAnswer: 2, 7, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*q + 472*q = -217375200. What is q rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.648 * 1178.\nAnswer: 1941.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -623*k - 1 - 575*k + 1428*k - 59*k**2. Differentiate w(p) with respect to p.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 5 - 5 + (-3*p - 3 + 3)*(7 - 7 + 10) in the form n + j*p and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let c = 269 - 266. Let h(j) = 3*j - 1. Give c*h(u) + 7*y(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.756 - -0.756. Which is the smallest value? (a) -4\/9 (b) -1\/4 (c) -2\/7 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.096*419\nAnswer: -3392.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(684) - (sqrt(684) + -2)) + -6*-3*sqrt(684) + 1*sqrt(684)*-2*3*-2.\nAnswer: 6 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83576310 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 26 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-29)\/(x**(1\/32)\/x))**(-34))**(1\/9) assuming x is positive.\nAnswer: x**(5083\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9548 divided by 8027.\nAnswer: -9548\/8027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekkiiikiikkgenzkiki. What is prob of picking 1 e and 1 z?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4913 + -4906. What is the nearest to -3\/37 in -5, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 214.8683?\nAnswer: -644.6049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 302, -2, 723?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h. Let i(w) = -18*w + 27. Let x be i(-7). Let j(l) = -21*l**2 - 147*l - x*l + 300*l. Give c(j(b)).\nAnswer: -105*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/6 + 17*m. Let k(f) = 22 - 2 + 6*f + 3*f - 20. Calculate k(r(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 2 - 2*q)*(17*q**4 + 80*q**4 - 28*q**4).\nAnswer: -69*q**5 - 138*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 9*d**2 + 8*d - 1. Let k(z) = -z**3 + 8*z**2 - 8*z + 1. What is -5*f(h) - 6*k(h)?\nAnswer: -4*h**3 - 3*h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346267416?\nAnswer: 2, 13, 53, 244243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 153\/(-102)*(-1)\/8. What is the nearest to 0.1 in g, 3, -0.9, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000422239 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 1 - 1)*(88*f**2 + 78*f**2 + 14 - 180*f**2).\nAnswer: 14*f**5 - 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7598*j**5 - j**4 - 6366*j**2 + 4?\nAnswer: -455880*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eii when three letters picked without replacement from ijuejjjieueree.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((13 - 4) + -13 - -8) - -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15*u + 48. Let x be o(-3). Suppose -x*y = 115 - 394. Suppose 2*k - 135 = -41. Calculate the remainder when y is divided by k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105978871 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 147*j**5\/5 - 7*j**4 + j**3\/2 + j - 18. Suppose n(w) = 0. Calculate w.\nAnswer: 0, 1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1421 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1388165 and 19435.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -0.3 (c) 4 (d) 254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 5*b - 4. Let j(d) = -2*d**2 - 3*d - 3. Let q(p) = -7*j(p) + 5*y(p). Determine q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077117 rounded to 6 decimal places?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1537 = -5*d - 4*t, 3*d = 4*t + 336 + 567. Does 61 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:17 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3499.86 + -3920.174. Let b = -421 - c. What is b rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 107084.\nAnswer: -107083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-522)\/144)\/((-1)\/(-4))*12\/((-42)\/7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-51)\/(-4) - (-1)\/4. Let v = k - -34. Let y = 166 - v. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5925 (base 14) to base 9.\nAnswer: 23251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12893 = 4*y - 2289. Let s = y + 1101. Round s to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -17. Let d(x) = -x**3 - 9*x**2 - 3*x - 11. Let z be d(r). Let i = -12 - z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 143 + 145 - 433 + k + 141. Suppose 20 + 13 = l. Suppose -3*f + 33 = -4*a - 6, 0 = -3*a + 3*f - l. Determine y(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 - 4*y**4 - 4*y**4 + (0 - 1 + 4)*(-123*y**4 + 10000*y**2 - 10000*y**2) + (-5 - 2*y + 5)*(4*y**3 - 4*y**3 - y**3).\nAnswer: -370*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + 100*k - 4. Let f(n) = -n**3 + n**2 + 79*n - 4. Let x(p) = -4*a(p) + 5*f(p). Let j be 4\/10 + 51\/(-15). Determine x(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 16) to base 2.\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14912 + 14914. Solve 2*x + h*q = 3*q - 9, 3*x = -4*q - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 14*u**2 - 8*u - 11. Let v be w(15). Let i = -92 + v. Solve -y + 4*g + 19 = -i*y, -4*g = -y + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(152)*-1*-5 + (sqrt(152)*-2 - sqrt(152))*-1)\/(sqrt(200) + 1*sqrt(200) - (sqrt(72) + (2*sqrt(72) - sqrt(72)))\/sqrt(9)))**2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1413928.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**13*y)\/y)\/(y**(-7)\/y*y*y))\/(y**(-4\/15)*y**(-42)) assuming y is positive.\nAnswer: y**(919\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (5 - -5) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -99, 3, -7\/1054.\nAnswer: -99, -1, -7\/1054, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -424311 - -132?\nAnswer: -424146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 11*v. Let g be p(-11). Suppose -2*m - 3*o - 125 = 0, g = -4*m - m + o - 270. Let h = -37 - m. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oolmmom. Give prob of picking 2 m and 1 o.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g - 2. Let p be v(3). Is ((-19)\/p)\/(10\/(-40)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -514 + 784. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 5) to base 2\nAnswer: 1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 425 + -245. Calculate the least common multiple of f and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 76, 171, 302, 469?\n\"Answer: 18*y**2 + 5*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 4:45 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16930971 - -10158971. Round f to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 49229088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2. Let l be (-33)\/39 + (-6)\/39. Let w(a) = -a - 1. Let q(x) = 2*x**2 + 6*x + 6. Let u(g) = l*q(g) - 6*w(g). Calculate r(u(h)).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 11*k + 13. Let l be u(11). Suppose 2*y + l = 3*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 12929268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - (2 + 2)) + -4. Find the common denominator of -23\/3 and l + 0 + (-3317)\/(-1116).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35131.787 and -0.8?\nAnswer: -28105.4296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3024543 - 11.\nAnswer: -3024554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**2 + 2*n**2 + 0*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64552, 64567, 64582, 64597, 64612?\n\"Answer: 15*h + 64537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -1\/5*v**5 - v**3 + 0*v + 23 - 3\/4*v**4 - 1\/2*v**2. Factor c(k).\nAnswer: -k*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 334 = 0. Suppose 4*u - 2*z + 25 = 195, -4*u + t = z. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -19*f**4\/24 - 5*f**3\/6 + f**2. Let y be q(-4). Suppose -2*b + y = -47. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0060327751 + 1.4750313091. Let j = v + -1.469. What is j rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385444 by 3.\nAnswer: -385444\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/33, 2\/5, -51, 1\/4 in descending order.\nAnswer: 2\/5, 1\/4, -1\/33, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1002.9925 + 0.0075. Which is smaller: 2\/11 or v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 772960*t + 2. Let o(h) = 2*h. Give o(a(d)).\nAnswer: 1545920*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -36*w**3 - 5*w**2 - 31*w + 86. What is x(3)?\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 17. Let l be m(14). Suppose l*w + 36 = -3*w. Is ((-586)\/4)\/(w\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1954 - 11801\/6. What is the common denominator of d and 83\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702900 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1 - 21*g - 5 + 25*g - 30*g + 5. What is i(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -10. Let b be 33\/k + (-4)\/(-14). Let t = -31 - -35. Solve 3*a - x = -10, -b*a + t*a - x + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17818)\/9 + (-2)\/9. Is (-5)\/(-105)*-9 + i\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*y + 120 = 2*f, 2*f + 5*y - 48 = 0. Suppose -4*r + 2*d - 5*d = -73, -2*r + f = 4*d. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6019637595?\nAnswer: 3, 5, 2621, 153113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkdki. What is prob of sequence rid?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, -5, 8, 11, -17971 in descending order.\nAnswer: 14, 11, 8, 3, -5, -17971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r + 13. Let c(o) = 7979202 - 7979202 + o. Determine -6*c(y) + h(y).\nAnswer: -y + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*4 - (sqrt(30) - (sqrt(30) - -3*sqrt(120)\/sqrt(4))))\/(2*2*sqrt(810)*5).\nAnswer: 7*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -14. Let c be v + 31 - 8\/2. Suppose -c = -3*z + 11. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x + 7. Calculate l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 1\/(-3)*(3 - 96)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzjfzzzfffzzzfjffjsj. Give prob of picking 3 f.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 2, 5\/28 in decreasing order.\nAnswer: 4, 2, 5\/28, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*a + 1 + 10*a as f*a + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28208 and 0.2?\nAnswer: 28208.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-250)\/75*6\/45?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 4637500.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 2*u**2 - u + 3. Let v be m(-3). Let p be 20\/v*(-3)\/(-2). Solve 4*q = p - 10, s = -2*q - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 16 = 4*l, -2*l + 12 = l. Let d be v - 4*3\/(-6). Solve 4*h + 2*i = -8 + 38, 5 = -h + d*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8059.\nAnswer: 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n - 4*x = -10, 5*n + 2*x - 17 = 0. Let g = -38 - -40. What is the highest common factor of g and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*f + 1)*(-1 + 0 - 4) + (-306 + 405 + 227)*(-2*f + 2*f - 2*f).\nAnswer: -637*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - g. Let m(i) = 5*i**2 - 6*i + 2. Let c(b) = 6*k(b) - m(b). Let t be c(2). Find the third derivative of -3*a**t + a**2 + 3*a**2 - a**6 wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13453\/39 - -345. Let o(z) be the first derivative of -3\/26*z**4 - 4\/13*z + 2\/65*z**5 - 8 + i*z**3 + 3\/13*z**2. Suppose o(s) = 0. Calculate s.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35616 (base 7) to base 8.\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/4 - 5747*l**4\/4 - 836979*l**3\/2 - 78652115*l**2\/2 - 4681980475*l\/4 + 15507341625\/4 = 0.\nAnswer: -95, 3, 6029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(136)\/sqrt(32) - (sqrt(153) + (sqrt(153) + 2*sqrt(153)*-6 - sqrt(153)))\/sqrt(9).\nAnswer: 23*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (220\/12 + 3)*(8 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4308196 is divided by 1657?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4777*d + 8817. What are the prime factors of w(-6)?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*i - 21 = 0, 2*i = 2*v - 3*v + 7. Solve 4*z + 4 = 2*a - 0, -v*a = -4*z - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 + 1.05. Let v = h + -0.393. Round v to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 2*n - 4*n**2 + 3*n**2 + 0*n**2 to y*n**2 + l + m*n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (7 - 8) - (-13 + 23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 3396?\nAnswer: -13584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 3) in base 8?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + (39 - 15))\/(-15 - -12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5\/3 + 6*b**4 + 170*b**3\/3 + 50*b**2 = 0.\nAnswer: -5, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbttbbbmbtbb. What is prob of picking 1 t and 1 m?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(2 - 1 - 2)*(-2 - 1 + 1)*(-13*n**2 + 13*n**2 + 27*n**4).\nAnswer: 108*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 + 467924*i**2\/5 + 54740556989*i\/5 + 109471755698.\nAnswer: (i + 10)*(i + 233957)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -14981*b**4\/12 - 4881*b**2\/2 - 3*b + 2477. What is the derivative of o(k) wrt k?\nAnswer: -29962*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5829978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-1)*16\/12*69\/(-184)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/3 - -1. Which is the closest to -1\/4? (a) -1\/7 (b) f (c) 1.9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -42, -136, -258, -402, -562?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p + 22. Let t be o(3). Suppose 0 = -r + t. Let l be (-15)\/2*(-126)\/15. Calculate the greatest common factor of r and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -11*x + 705. Suppose 0 = h + 21 - 19, -b + 4*h = -x. What are the prime factors of b?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 0*h**4 - 3*h - 1\/15*h**6 + 0*h**3 - 2*h**2 + 0 + 0*h**5. Differentiate n(q) wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 164169041 and -0.5?\nAnswer: -82084520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 8*f - 18. Let s be v(-10). Suppose c - 5*m - 3 = 0, 0*c - s*c + 6 = -m. What is the hundreds digit of c*2\/(-24) - (-813)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.052 + -4.652. Let x = 0.3 + -0.3. Let d = i + x. What is d rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 9*m**2 - m - 1. Let k be i(-1). Suppose -k = 10*y - 11*y. Calculate the greatest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - q = 1173. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 6976.\nAnswer: 6976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004072585 rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14418*p**3*w + 2097*p**2 - 3*p*w wrt p?\nAnswer: 86508*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:11 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010010111011000 + 111111?\nAnswer: -111010010110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -28*n - 41. Let y be m(-2). Suppose -3 = -y*l + 42. Solve -l*q = -5 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 584?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 25, 35, 45, 55?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 345343918*k**3 + 345343915*k**3 + k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1863 divide 85522878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 57. Let a be 7*6\/((588\/t)\/7). Suppose -2*q + 4 = -c, 0*c - 16 = -a*c. Solve -q*i + 2 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4526 (base 9) to base 3\nAnswer: 11120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167592826981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5\/11 + 618*u**4\/11 - 59232*u**3\/11 + 1734080*u**2\/11 - 1016832*u + 1875456 = 0?\nAnswer: 4, 37, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q + 23*q + 66 + 2*q**2 - 66.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) -1 (b) 131 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 27. Let c be s(-5). Let m be (-2)\/(c\/5) - 4. Suppose 0 = p + m - 26. Solve 4*y - p = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 406*w**2 - 181*w + 73443. Determine p(406).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 19*m + 198 = 0 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27802 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9018*i**2 + 27056*i - 1. Determine b(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 147. Let x = -11 + a. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8866 and 496.\nAnswer: 70928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 49 = 241. Let d be (4\/(-10))\/(1\/(-95)). Suppose -u = 5*z - j, 5*z - d = z - u. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-11) + (-2528)\/15642?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5205728.\nAnswer: 2, 11, 23, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 730223*m**2. Let d(q) = q**2. Determine x(d(i)).\nAnswer: 730223*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/108*3\/(-5)*(270\/9)\/(-15).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*u - 3*s, u - 6*u - s = 37. Let r = 114 - 170. Let h = u - r. 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: Suppose -23 = -5*x + 22. Put x, 3, 1 in decreasing order.\nAnswer: x, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83649584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 182730290 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*r - 32 = 0, -g - 36 = -5*g + 2*r. Solve 0 = 3*d - g + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21630 and 329700.\nAnswer: 33959100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 21107016?\nAnswer: 21107016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101110110 (base 2) to base 3.\nAnswer: -100122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -240?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7302577 - 7348209 = 368*v for v.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.481 rounded to 1 decimal place?\nAnswer: 23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 divided by 5?\nAnswer: 973\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**2 + 677*d - 1823 wrt d?\nAnswer: 2*d + 677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 + 11*h + 152. Determine i(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00407 rounded to 4 decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/36 - 1239\/(-54) and -61\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - -0.04. Which is the smallest value? (a) 5 (b) 1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((50\/(-15))\/5)\/2. Let y = -1.97 + -0.03. Let g = -1.5 - y. What is the biggest value in g, p, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*n**2 - 31*n**2 + 15*n**2 - 38*n**2.\nAnswer: -112*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -57. Find the second derivative of -203*g**3 + 56*g**3 + 66*g + w*g wrt g.\nAnswer: -882*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 27*u - 18. Determine h(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/4 - 185*h**4\/2 - 6217*h**3\/2 + 278*h**2 + 36553*h\/4 - 12431\/2 = 0.\nAnswer: -31, -2, 1, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/4)*j*j**(-7))\/(j*j\/(j\/(j*j\/(j\/(j*j**(-1\/4)))))*j*j*j*j)**(4\/21))\/((j**0*j)**(2\/11))**(-9) assuming j is positive.\nAnswer: j**(-1971\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:20 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.3 + -2.3. Let m = n + -29.87. What is m rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, -1597, -6219, -15237, -30121?\nAnswer: -52341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((((l*l*l**(-8\/3))\/l)\/l)\/l)\/l*l)\/l)\/l**(-17)*(l**(1\/4))**(1\/3) assuming l is positive.\nAnswer: l**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246004396 to the power of 1\/3, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 97\/(-33)) + -7. Which is the third smallest value? (a) -1 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + -10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -19) + 5 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 359220400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 4. Suppose -1 = w - i. Let p(b) = b**2 - 4*b + 1. Let h be p(3). Sort w, -3, h.\nAnswer: -3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbbieffbffwi. Give prob of picking 1 b and 3 f.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6) - (0 - 10\/4). Find the third derivative of 4*o**2 + 20*o**5 + 5 + 5*o**4 - 229*o**2 + 29*o**t - 5 wrt o.\nAnswer: 1200*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 2 + 2 + x**2 - 71*x + 4*x**3.\nAnswer: 6*x**3 + x**2 - 71*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.3. Let v = -0.1 - m. Sort 0.5, v, 0 in descending order.\nAnswer: 0.5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, v: 1, a: 6}. Give prob of picking 2 a and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 - 9.79?\nAnswer: 447.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -31*k. Let m(d) = d**2 - 13*d + 32. Let h be m(10). Let b(q) = 18*q**2 - 8*q**2 - 9*q**h. Calculate s(b(p)).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6948 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 + 9*r**4 - 27*r**3 + 23*r**2 + 24*r - 36.\nAnswer: -(r - 3)**2*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(0*u - 4*u**3 + 0*u) + (-u**2 + 5*u**2 - 2*u**2)*(-3*u - u + 3*u) - 3*u**3 - u**3 + 2*u**3 + (-3*u**2 + 3*u**2 - u**2)*(2*u - u + 0*u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -13544.\nAnswer: -35\/13544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -130*s + 1040. Determine p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2249960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in 0.138, -3\/7, 0, 0.3, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2999659?\nAnswer: 13, 230743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxvvxxa. Give prob of sequence vxxa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 818 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133.7 - 133.7. What is the third smallest value in 0.5, 0.3, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((-3740)\/209 - -11).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145232186 divided by -1989482?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-337882)\/99 - (96\/54)\/(-8). Let c = a - -3416. Find the common denominator of -16 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -300 - -4?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 24, -112*f + 2*k + 3 = -109*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1 + 8*s - s**2 + 4*s - 11 - 9. Let u be 2\/(-3)*(-9)\/2. Let o be a(u). Let y(c) = -c**2 + 8*c + 4. What is y(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, r: 1, v: 6}. What is prob of sequence lr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138548 and 16.\nAnswer: 554192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 837137377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 14*p + 105 = 0. Let w(g) = g**3 - 3*g**2 + 1. What is the remainder when 69\/p - 3\/(63\/6) is divided by w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Suppose z*b + o - 1124 = 0, 3*b + 2*b - 3*o - 1422 = 0. Let x = 405 - b. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5238269*p**2 + 62*p + 25531 wrt p.\nAnswer: -10476538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -451\/4 in 5, -0.2, 3, 0.028?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62130 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 225 + 263 = 11*v, r - 13 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - ((-8)\/3)\/(-4))*(-2313)\/(-2570)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80852506*l**3 - l**2 - 3*l - 2776366 wrt l.\nAnswer: 485115036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let v be (7 - 5)*2\/2. Let d(t) = 2 + t**2 - v + 0. What is r(d(o))?\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 24*t**2 + 18. Let q be p(-24). Suppose q*d + 19 = -d. Which is bigger: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17*y**3 - 2*y**2 - y - 25. Calculate i(-3).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t = -k - 19, 1 = k. Suppose -2*m + 4*m = -3*w + 47, -t*m + 64 = 4*w. Solve 0*l = -3*l - w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -27.6. Let o = k - 0.365. What is o rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364992 divided by -591248?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q**3 - 48*q**3 + 83*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15975 - 15884. What is the highest common divisor of 28 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56af2 + b?\nAnswer: 56afd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4*y - 202846*q**2*y - 49361*q*y - y wrt q?\nAnswer: -36*q**2*y - 405692*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.065 + -26.935. Let u = z - -32. Let r = 827\/45 - 93\/5. Put u, -1\/5, r in increasing order.\nAnswer: r, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 3*z**2 + 2*z**2 - 4*z**3 + 3 + 4*z. Give h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156874.002 + 157944.00847. Let p = -2166 + 1096. Let g = p + u. Round g to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 332*h**2 + 11*h + 17. Let l be a(-2). Let n = l + -924. Calculate the highest common divisor of 42 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 6*n + 3. Let d be t(-6). Let g be (-4)\/8 - (-2)\/4. Suppose d*l - 6*l + 9 = g. What is the greatest common factor of l and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/61497 or 1?\nAnswer: 47\/61497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 38398, -1 in descending order.\nAnswer: 38398, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, w: 1, u: 2, g: 3, p: 2}. What is prob of sequence cu?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*k + 3*w, -3*k + 2*w = 2*k + 35. Let m(s) = 7 + s**3 + 0*s**2 - 4*s**2 - 2*s**3. List the prime factors of m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47720000 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/14 and 64\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7047 divided by 395?\nAnswer: -7047\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {k: 2, i: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3\/7 - 24984*a**2\/7 + 3570*a + 49972\/7 = 0?\nAnswer: -12493, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8\/3)*c)\/(c**4*c))\/((c\/(c*c*(c**2\/c*c)\/c))\/(c**6*c)) assuming c is positive.\nAnswer: c**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -915\/7, 1\/8, 13, 44 in ascending order.\nAnswer: -915\/7, 1\/8, 13, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2461, -4\/11, -2, -13, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2\/3 + 13344*s - 40020 = 0. Calculate s.\nAnswer: 3, 10005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*p**6 - 3*p**5 - p**4 + 4*p**2 + p - 5?\nAnswer: -3480*p**3 - 180*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 2 - 0 - -2. Suppose d*g + 18 + 27 = 5*l, 33 = 3*l - 5*g. What is the second derivative of -l*o - 282*o**4 + 282*o**4 + 9*o**5 wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*y = -214*y - 31447 for y.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, -399, -2, 0, 3 in decreasing order.\nAnswer: 15, 3, 0, -2, -5, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000068682453 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/6 + 507*x**4\/2 + 12215*x**3\/6 + 8665*x**2\/2 - 1517*x\/3 - 6116 = 0.\nAnswer: -4, -3, -2, 1, 1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:05 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**2 + 2*r - 3*r + 0*r**3 - 1 - r**3. Let k be p(-8). Let s(v) = 2*v - 10. What is the remainder when 7 is divided by s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.212 + 0.012. Let u = 5.42 - 2.03. Let d = 0.39 - u. Put -4, 14, r, d in ascending order.\nAnswer: -4, d, r, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13401 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-21) - 3)\/((-60)\/(-1980)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.2. Let n = -0.1 + 0.6. Let q = -0.7 + n. What is the closest to b in 1, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 42 - 2*b + 1\/4*b**4 + 55\/2*b**2 + 0*b**3. Find the first derivative of v(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 1 - (-12)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -888, -4, 3 in decreasing order.\nAnswer: 3, -4, -888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2260841, 4, 88 in increasing order.\nAnswer: 4, 88, 2260841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 244, 5 in descending order.\nAnswer: 244, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81831*p*v**3*x + 1288*p*v**2*x**2 - 118*p*v*x**2 + 2*p*x**2 - 4*p + 887*v**3*x**2 wrt v?\nAnswer: -490986*p*x + 5322*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113502?\nAnswer: 2, 3, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2. Let l(u) = -44*u**2 - 4*u - 457. Give l(z(t)).\nAnswer: -176*t**4 + 8*t**2 - 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksn when three letters picked without replacement from pppnsjkpk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.13 * 0.38.\nAnswer: 9.9294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/6808 and -7\/112978760.\nAnswer: 112978760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 266666 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(3\/14)\/(z**(-2)\/(z*((z*z**(-7))\/z)\/z)))**(2\/101) assuming z is positive.\nAnswer: z**(-283\/2828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.70179 nanometers to kilometers.\nAnswer: 0.00000000000470179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 7 = -7. Suppose i = -6*d - 152 + 242. Let l = 1 + -1. Solve l = 5*k - 4*n + 11, -4*k - 3*n = -0*n + d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*z + 323 - 1 = 0, 3*s - 196 = z. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6 + 2*f + 0 + 4*f - f**2. Suppose -37 + 12 = -5*i. Calculate c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 26*m - 2388. Calculate the lowest common multiple of 39 and m.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.45 + 154.45. Let x = n - 127. What is the second biggest value in x, -2\/15, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3310 - 3307. Suppose a + 6 = -2*t, -3*a + 4*t = a. Sort a, -3, r.\nAnswer: -3, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9665947.\nAnswer: 9665947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 9:26 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1114 - -438. Let f = 7445\/11 + o. What is the common denominator of f and -74\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41101917 is divided by 1380.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 830 + -852. Let i = 60 + -80. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -861 or 112?\nAnswer: -861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*t - 1236*t - 56823 = 552*t + 20*t for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31 (b) -5 (c) 3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7976 (base 11) to base 8\nAnswer: -24371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.96 - 8.06. What is the nearest to c in 48, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*u**2 - 3 + 3*u - 1 - 2*u**4 + u**3 to l*u**4 + p*u + k + b*u**3 + n*u**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 1. Let t(p) = 2*p**4 - 4*p**2 - 6. Let a(v) = 4*c(v) + t(v). What is the derivative of a(r) wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-23 + -50 + 44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -1)\/((-6)\/20). Let w be 23\/5 - y\/25. Let t(h) = -5*h + w*h - h - h. Let n(i) = -7*i**2. Determine t(n(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -2 (c) -4 (d) 1 (e) -0.4 (f) -69\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1 (b) 16 (c) -5 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4103815 or 4103814?\nAnswer: 4103814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001142734 to 7 dps.\nAnswer: 0.0001143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 292\/240*3\/(-1) and 61\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3699 is divided by 1209.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51177*y**3 - 1155*y**2 + 115601332.\nAnswer: -153531*y**2 - 2310*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 9\/2. Let r be 3\/(-9)*1\/2. Let w = 0.71 - 0.71. Which is the closest to z? (a) w (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(3\/43))\/(u**(-19\/6)\/u*u)*(u\/(u**(-29\/5)\/u))**(-18\/7) assuming u is positive.\nAnswer: u**(-135091\/9030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 228 = 17*b, -4*k - 4*b + 5*b - 56 + 7 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5201 divided by -28693.\nAnswer: -743\/4099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/170 + ((-51)\/85)\/(15\/5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45365, 45575, 46205, 47483, 49637, 52895, 57485, 63635?\nAnswer: 71573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10645536 divided by -1774256.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*q**2 - 241*q**4 + 34755*q - 14741*q - 13603*q wrt q?\nAnswer: -2892*q**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -19648501?\nAnswer: 19648502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/552 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1890612672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.619475l?\nAnswer: 619.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -130710, -130673, -130614, -130533?\n\"Answer: 11*w**2 + 4*w - 130725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13972*n + 526*n + 345937 = 365614 + 854313 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + c**2. Let j be f(2). Let s be 3*(-16)\/j + 9. Solve -2*l = -3*a + 7, s*a - 12 = 4*l - l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 -17380 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.008 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 21 - (-29 + 14 + 40)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1863*l**6 - 270*l**2 - 25*l**2 + 57 + 57 - 114 wrt l.\nAnswer: -223560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29873*b - 5998*b + 1331*b + 7676*b.\nAnswer: 32882*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 77. Which is the nearest to -1\/2? (a) p (b) -0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2288.6385 months to centuries.\nAnswer: 1.90719875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - v + 6*v = -9, -5*v = -2*d + 27. What is the remainder when 68\/d + (-4)\/12 is divided by 3 - 1 - (-2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*b**2 - 4*b**4 + 229*b + 488*b - 125*b**2 - 62*b + 12*b wrt b.\nAnswer: -48*b**2 - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/(-88))\/((2\/(-6))\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 8787.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 10. Let g(o) = o + 12. Let b(z) = 6*g(z) + 7*t(z). Suppose 2*u - 3 = -19. Let v(q) = 3*q - 6. Determine u*b(f) - 3*v(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((3 - 3) + 0)*1. Suppose 6*w - 24 = -k*w. Suppose 4*s - 20 = -0. Solve -w*f = 12, p + 3*p = s*f + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - 81*c**3\/2 - 211*c**2 - 342*c - 172.\nAnswer: (c - 86)*(c + 1)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 7.2 (b) 3 (c) -2 (d) -1 (e) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 84036*n + 287 = -84047*n, -4*t = -n - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1326 (b) 14\/11 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) + sqrt(15))*6 + -4*sqrt(135))\/(sqrt(243) + 5*-1*sqrt(243)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 6*r + 3*r)*(0*r - 2*r - r)*(-860*r**3 + 343*r**3 + 103*r**3 - 955*r**3).\nAnswer: -4107*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 18290000 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 3 - (-12)\/3. Suppose -2*k + x*k = 2*g, 0 = -2*g - 2*k. Let n be (-1)\/((-22)\/10 - -2). Sort g, 2, n.\nAnswer: g, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1. Let h(w) = 2*w**2 + 6. Let d(b) = h(b) - 6*z(b). Let j(s) be the third derivative of 0*s + 0*s**3 + 0 - 22*s**2 - 1\/6*s**4. Calculate j(d(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 2*k + 5*k + 0*k + 1. Let r be p(3). Suppose -2*l + 2 = -h, -4*l + 0*l = -r*h - 20. Which is greater: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 5294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/16*((-1)\/9)\/(20\/24)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 - 21728*q\/3 - 236052992\/3.\nAnswer: -(q + 21728)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**6\/20 - 6*f**5\/5 + 21*f**4\/2 - 36*f**3 + 78*f - 52. Let r(l) be the first derivative of y(l). Factor r(o).\nAnswer: 3*o*(o - 6)**2*(o - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -12*z + 62. Calculate the least common multiple of 20 and (-20)\/z + (-483)\/(-35).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1665.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(432))**2*-3 - -4*(2 + sqrt(432)*2))*5.\nAnswer: -32360 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*r + 3*r = 845, 0 = -3*r. Calculate the greatest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 4*n + 6. Let p = -19 + 13. Let d be i(p). Calculate the highest common divisor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/5, -3\/4, -4, 0.19, 43.2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 5. Let k be (1 - 4) + -2 + -36. Let u be (-3 - -4)*(-51 - -6). Let x = u - k. Calculate f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 751 + 4?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -938 + 17824\/19. What is the third biggest value in p, 1, -1, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25029*l**2 - 28118.\nAnswer: 50058*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 99520*p**3 - 619014400*p**2.\nAnswer: -4*p**2*(p - 12440)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011890 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8610 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 13*v**2 - 14*v + 1. Let u be z(-14). Let d = -19 - -19.4. Which is the closest to 0? (a) 2 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 69*x**5\/20 - 49*x**2\/2 + 104*x. What is the first derivative of l(y) wrt y?\nAnswer: 207*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37226 + 777*q - 37226)*(2 + 0 - 4).\nAnswer: -1554*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4, 0.4, 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.046 - -5.046. Suppose -3 = -3*w + 3*c, -4*c + 21 = 1. Let d be (w\/27)\/(1\/(-6)). What is the smallest value in d, 2, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = -84. Do 24 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42793, -85584, -128375, -171166, -213957, -256748?\n\"Answer: -42791*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207620 rounded to the nearest one thousand?\nAnswer: 4208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 0 + a - 564378*a**2 - 4 - 69113*a**2.\nAnswer: -633491*a**2 + a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2649, -5327, -8005, -10683, -13361?\n\"Answer: -2678*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2234*y - 46 = 2232*y. Solve 26*a - y*a = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32115305 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/(-342) + (-2811)\/6840 and 33\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -12, 483, 2, 277 in descending order.\nAnswer: 483, 277, 2, -2\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(72))**2.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21213 less than -19660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11583458 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6430900 to the nearest ten thousand.\nAnswer: 6430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-3)\/(-72))\/(3\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 57*w**2 - 5*w - 1. Is d(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 13*k**2 - 4*k - 23. List the prime factors of i(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.98 - 0.02. Let t = -11 - v. Let l = t - -5. Which is the third smallest value? (a) 0.5 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 13, -2\/13, 3\/4, 1\/2, 71?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 2*g + 9. Let o(t) = -2*t**2 - 2*t - 8. Calculate -5*k(m) - 6*o(m).\nAnswer: 2*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -5. Let h = -25 + 25.17. Let l = -0.17 + h. What is the smallest value in l, -1\/6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*z**4 + 195*z**2?\nAnswer: 1056*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 2. Let h be j(6). Let z be (-39)\/(-6 - 63\/(-14)). Determine w so that -h*w**3 + z*w**3 - w**2 - 11*w**2 + 4*w**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuukkkk. What is prob of sequence uk?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 695 - 683. Let q = -24 + 46. Calculate the remainder when q is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**2 + 717*j - 456. Give y(89).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:50 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 8. Let k be p(-6). Suppose 0 = k*b + b - 45. What is the remainder when b is divided by ((-9)\/6)\/(6\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -s, -12 = -5*n + 5*s - 2. Is (4\/8)\/(n\/368) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175053 divided by -175053.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1611*b**2 + 8*b. Let d(h) = 1075*h**2 - 5*h. What is -8*d(i) - 5*m(i)?\nAnswer: -545*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*r + 4 = 0, 7*r - 3*r - 12 = -5*v. Suppose 5*y = v*l + 68, -3*y + 0 + 42 = -3*l. Solve -n + 10 = 5*i, 3*n + y = -i - 0*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Suppose -5*i = 4*o - 419, 3*i + 0*o - 4*o - 277 = t. Calculate the greatest common factor of 29 and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*q = -94*q + 450. Let o be 240\/75*q\/(-6). Let p = 13 - 8. Is p <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 756, 1097, 1438?\nAnswer: 1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72923728469*l - 48*l**3 + 72923728469*l.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3542, -2\/47, 0.3, -1\/5 in decreasing order.\nAnswer: 3542, 0.3, -2\/47, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - 1) + -9 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = t + t + 58, -5*d + t + 59 = 0. Let w = -10 + d. Solve 0 = -0*l - w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3 = n - 0*c, -4*n = c + 69. Let l = n - -30. Calculate the remainder when (-20)\/(-15) + (402\/9 - 3) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120332443 (base 5) to base 6.\nAnswer: 125455515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14034*q**2 - 14*q + 50. Let p(x) = -9355*x**2 + 9*x - 31. What is 5*m(h) + 8*p(h)?\nAnswer: -4670*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/93 in -1\/2, 0.4, -3, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1683*s**3 - 483*s**3 - 69*s**4 - 23*s**2 - 228*s**4 - 48*s + 7*s**2 - 20*s**2 = 0. Calculate s.\nAnswer: -2\/11, 0, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -30. Suppose -2*t - l = -3*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1958\/(-445)*(-10)\/(-4). Let k be 3\/l - 86557\/(-7777). Suppose -16\/7 - 64\/7*g - 4*g**4 - 4\/7*g**5 - k*g**3 - 100\/7*g**2 = 0. What is g?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 14, -3, -0.4, 3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/141 or 0?\nAnswer: -16\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.3 - 1.3. Let a = k + -15. Let b = 0.1832 + -2.1832. What is the smallest value in b, 2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 14180146 (c) 0.3 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*y - 5, 4*a + 373*y = 369*y - 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1035604 to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3904.\nAnswer: 3\/3904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -344899, -689808, -1034717, -1379626, -1724535, -2069444?\n\"Answer: -344909*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 310605097 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.238, -0.5, -4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.3 (c) -701\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22558276.\nAnswer: 2, 13, 433813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = y - 21, -s + 15*y + 15 = 208 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.487 - 0.087. What is the nearest to -1 in -0.07, 0.5, a?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126461 is divided by 781?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + -2 + 7 - -1. Let o be (-16)\/2 - (-13 - h). What is the highest common divisor of o and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3092 + -4?\nAnswer: -3096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(1\/3)*n*n)**43)**(-44))**2)**15 assuming n is positive.\nAnswer: n**(-189200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029959922 rounded to 7 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11*29\/58 + 819\/150. Let h = -1 + 3. Let f be (1 - 3)*(-1)\/h. Is f >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4676 divided by 4?\nAnswer: -1169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/5 + 8\/5*r**2 - 4\/5*r**3 + 16\/5*r.\nAnswer: -4*(r - 2)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*c**5 + 2*c**3 - 292*c**2 - 4110*c?\nAnswer: -540*c**3 + 12*c - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -0.35. What is the smallest value in -3\/5, 0.7, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-15 - -4 - -16) - (1 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122\/13 - 73\/156. Find the common denominator of y and 174\/(-12)*(-3)\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504 by -3.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01644 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -272023796\/7 - -38793485. Let y = 67235 + p. Let r = 178 - y. Which is the biggest value? (a) -1 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202 + 2200?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -11877682?\nAnswer: -5938841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394292582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4)*(-2*r - 3*r + 6*r)*(-4 + 6*r + 4 + 4*r - 4*r + r + (5*r - 2*r + 0*r)*(5 - 4 + 0)) in the form u + p*r + w*r**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n + 32 - 33 + 6*n + 8*n**3 to the form d*n**3 + m*n**2 + o + p*n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = -3*w + 5, 34 = 4*w - 3*u. Let q = -9 + w. Let l(x) = 3*x**2 + x - 2. What is l(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from dpedqpd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 12*i as y*i + x and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 258 = -27*w + 12*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**5\/30 + m**4\/8 - 4*m**3\/3 - 6. Let t(i) be the third derivative of a(i). What is the first derivative of t(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-1 - 5) + (20 - 18))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 275591557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35386*c**3 + 3753*c**3 - c + c.\nAnswer: 39139*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1826623 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/(-25))\/(60\/(-200)). Put b, 1, -13 in descending order.\nAnswer: b, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:24 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = -6. Let d(o) = 8*o + 245 + 27*o + 34*o + 38*o - 148*o. Let y be d(6). Do i and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68076, 67937, 67702, 67371, 66944, 66421?\n\"Answer: -48*q**2 + 5*q + 68119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85366 (base 9) in base 2?\nAnswer: 1101110001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.366892759 + -2.3669. Round a to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 165298 + -454?\nAnswer: 164a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 2 = 24*y. Let n = y + 16. Which is the second smallest value? (a) 1\/2 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, -121, -728, -1655, -2908, -4493, -6416?\nAnswer: -8683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + -1 + sqrt(2) - sqrt(2) - (3 + 0 + sqrt(2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f + 10. Let o be y(5). Let i = -37 - o. Suppose -2*s = 2, i*s + 19 = 3*v - 8. Solve 21 = -5*j + 4*x, 4*j - v*x + 4*x = -16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.29 and 55.\nAnswer: -565.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/630 + i**6\/10 + 9*i**5\/10 - 243*i**4\/2 - 6561*i**3\/2 - 98*i**2 - 5*i. Factor s(x).\nAnswer: -(x - 27)**2*(x + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 619950113 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*h + 878*h + 867*h = 995*h + 104192 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 times -6?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 12:06 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175))**2 + 2)*1.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220\/41 + -1741\/164. Calculate the common denominator of 11\/6838 and t.\nAnswer: 13676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15798*d**5 - d**4 - 295*d**3 + 189584465*d**2.\nAnswer: 947880*d**2 - 24*d - 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(2\/3)*m)\/m)\/m**(2\/21)*m**(-5)\/(m**(1\/7)\/m*m))**(-39) assuming m is positive.\nAnswer: m**(975\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 + 3168*p**3 + 822132*p**2 - 8286432*p - 397365696 = 0.\nAnswer: -532, -18, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2420, 4836, 7252?\n\"Answer: 2416*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -7. Let j = 34 + -237\/7. Is o > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/75 - l**5\/25 + l**4\/10 + 4*l**3\/15 - 4*l**2\/5 + 46*l. What is h in k(h) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37383 is divided by 18204.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19907273831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 2:07 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*3\/12*2. Suppose d = -2*k - 3*k + 25. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = -2*i - 2*i + 5*r, -4*i - 2*r = -342. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = 0, 2*f - 40*k - 156 = -37*k. Calculate the remainder when 156 is divided by f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -8\/105, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17463284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648351 is divided by 824122?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*i - 3*u, -10*i + 15 = -13*i - 5*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 1.086706.\nAnswer: 15.913294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5\/3 (c) 7 (d) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbk. What is prob of sequence nb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 + 109.6. Suppose 4*d = -d. Which is the nearest to 0? (a) 0.2 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31, -7, 29, 77?\n\"Answer: 6*q**2 + 6*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 11*p + 4507 = -60145. What is the remainder when p is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 5:05 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3aeb7 (base 16) to base 9\nAnswer: -407040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7368*o - 14912*o = -7470*o + 370 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + sqrt(396)*1) - sqrt(396)) + 1 + 2*(sqrt(396) + -1 - sqrt(396))**2)*-3 + -5.\nAnswer: -14 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q - q - 17*q + 6*q to the form o*q + h and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:14 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356.99999797 + 357. What is p rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13487391 and 1614?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69811 is divided by 66?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o - 3. Let w be v(-2). Let n = w - 14. Let j(x) = x**3 + 7*x**2 + 6*x. Let m be j(-6). Sort m, n, -5 in ascending order.\nAnswer: -5, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136)*-3*-4 + -1*sqrt(136)*1)\/(sqrt(512) - -1*sqrt(512) - 4*-3*sqrt(8)) + 4.\nAnswer: 3*sqrt(17)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 567302786 plus 4426?\nAnswer: 567307212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1)*r**7\/r*(r*r*r*r*r\/r**(-1)*r*r)\/(r*r\/(r\/r**(-2\/11)))*(r*r**1*r)**(-46)\/(r**1\/r**5) assuming r is positive.\nAnswer: r**(-1340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1 + 5\/6). Suppose -2*a + 0 = -p. Let l = 14 + 1. Calculate the greatest common factor of a and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-58)\/(-14))\/(-97 - 60342\/(-623))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-66))\/((-3)\/9)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-4) - 8\/32. Let x(z) be the first derivative of z**4\/4 - 5*z**3\/3 + 3*z - 1. List the prime factors of x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 37*u**5\/20 + u**4\/4 + u**3\/6 - u - 57. Let i(x) be the first derivative of n(x). Find the third derivative of i(s) wrt s.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -106*v**2 + 118*v + 1498. Let h(o) = -32*o**2 + 40*o + 499. Let t(q) = 10*h(q) - 3*r(q). Solve t(y) = 0.\nAnswer: -8, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.94 - -0.06. Let s = -232.4 - -232. Put h, -4, s in ascending order.\nAnswer: -4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425 minutes after 8:01 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3364 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -970500 by 242625.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 17*g + 15. Is q(17) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -23.7. Let l = -12.5 - y. Which is the nearest to l? (a) -1\/10 (b) 3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ifhgd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 54 - 50 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*22*8989\/3916?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108055 (base 9) to base 7.\nAnswer: -360206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -3 + 1 + 9 + -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - 2*w - w. Let g(y) be the second derivative of y**3\/2 + 9*y. Give g(p(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/4 - 4*a**3\/3 + 3*a**2\/2 + 4*a - 1733. What is d(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 170340*h**2 + 1814418732*h + 19938000236.\nAnswer: 4*(h + 11)*(h + 21287)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 124, 181, 236, 289, 340, 389?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 2, -32, -100, -214, -386?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 14*m - 30. Suppose 5*w = -3*o - 57 + 14, -3*w + 3 = 0. Let k be r(o). Suppose -h = k*h - 1065. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5)*-5 - 27\/14. Let t = 7.8 + -4.8. Sort t, s, 0, -2.\nAnswer: -2, 0, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4013\/231 - -403\/21. Let p = 5461 - 142047\/26. What is the common denominator of p and n?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + 49*c + 179. Let s(f) = f**2 - 10*f - 36. Let x(d) = -11*s(d) - 2*w(d). List the prime factors of x(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 6*r - 4. Let l be c(-7). Suppose 4*q + 4*f - 32 = 0, 0 = 4*q - f + l*f - 28. Calculate the remainder when q is divided by -8*(-9)\/(-72)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -930 (b) -4 (c) 4 (d) -0.04 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 247.6557 decades?\nAnswer: 2476.557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 2574940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195069869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 5. Let q(g) = g + 3. Let x(l) = -5*q(l) - 3*r(l). Let p(b) be the second derivative of -5*b**4\/12 - 4*b. Calculate x(p(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3101645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -3 + 6 + 4\/(-2). Suppose n*x + 5*m = 4*x - 9, -5*m - 21 = -3*x. What is the lowest common multiple of x and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3196318.60985 - -3197097.6. Let o = r + -779. What is o rounded to four dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 + -200. Solve -36*p + a*k + 29 = -40*p, -3*p = 2*k + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f)\/f)**(-3))**30 assuming f is positive.\nAnswer: f**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (32\/80 + (-24)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96*s - 182 wrt s.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5968708794 rounded to the nearest one million?\nAnswer: -5969000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-10)*4\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 47, 65, 87, 113, 143?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 5*f**2 + 0*f**2)*(6 + 2 - 2)*(6 - 37 + 3).\nAnswer: 672*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1 (c) 1\/3 (d) 182 (e) -18\/11 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -32*d - 6. Let r be c(-1). What is the greatest common factor of 39 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 405 = 0. Suppose 2*q = -5*r - 97, -q - 4*q = r + 231. Let p = k + q. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90321*v - 4 + 5 + 90316*v - 1.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 2784936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-49)*((d*d*((d*d\/(d**28*d)*d*d*d)\/d)\/d)\/d)**15 assuming d is positive.\nAnswer: d**(-277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705317*o = 705162*o + 14880 for o.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1273 and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94*w**4 + 2*w**3 + 2*w**2 + 23*w - 498450 wrt w.\nAnswer: 376*w**3 + 6*w**2 + 4*w + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 606972313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6648 and 1481640?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/1584*-8)\/(1\/15)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18994935.\nAnswer: 3, 5, 53, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 7)*(8 + r - 8)*(-93*r**3 + 46*r**3 + 39*r**3) in the form l*r + g*r**2 + v*r**4 + w*r**3 + z and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007655 to four decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {h: 5, w: 5, t: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 483 and 29526?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176352582*r*z**3 + 29723*z**3 - 4299*z**2 with respect to r.\nAnswer: 176352582*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - s + 8 = 3*p, 4*p - 3*s = 36. Let k(m) = 2*m. Let h(u) = -2*u. Let c = -30 - -74. Suppose -t = 10*t - c. Calculate p*h(z) + t*k(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12951 and 8634.\nAnswer: 25902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 97524\/25 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (6 - (-3 - -4 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = z. Suppose 2*o - z = 26. Let h = -76 + 144. What is the highest common factor of h and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (864\/160)\/((-69)\/230)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 78 and 352?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4473 - -0.41507. What is g rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145437 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 9*l - 24. Let u be d(-3). Let b be 32\/u*198\/11. Calculate the greatest common divisor of 108 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in -1, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13)*a**(-14)\/a*a\/(a\/(a**15\/a*a*a))*a*a**4)**(32\/3) assuming a is positive.\nAnswer: a**(-224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3 + 9. Let s(o) = 12 - 7*o - 5 + d*o + 0*o + o**2 + o**3. Let z = -1 - -1. Calculate s(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 4, -14, -1\/5, 0.21, 0.1.\nAnswer: -14, -1, -1\/5, 0.1, 0.21, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -11*2 - 2. Let d = j + -13. Suppose 0 = 4*h - 22 + 6. What is the remainder when d is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23338559 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbdebebffff. What is prob of sequence eeb?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -357, -1, 4341 in descending order.\nAnswer: 4341, 1, 0, -1, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2477200860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 44 = 9*h + 2 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 2, i: 2, l: 4, t: 1}. What is prob of picking 2 f and 1 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50ff + -2d5?\nAnswer: -53d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g + 54. Let r be x(7). Suppose -2*o = -4*p + 217 - 33, -r*o = -5*p + 225. What is the remainder when 184 is divided by p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-6) - (-4)\/(-24). Suppose z*c - 48 = -3*c. Calculate the lowest common multiple of 14 and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10854422 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10815 + 44183. Suppose 168*n - 176*n = -t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 6*h + 5. Let u(z) be the third derivative of z**5\/20 - 5*z**4\/24 + 2*z**3\/3 - 3*z**2. What is 4*k(b) - 5*u(b)?\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, a: 2}. Give prob of sequence iii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1740\/1477 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 163056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-227)\/(-2) + 3\/(-6). Suppose z = 5*p + 38. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 689, 2606, 5821, 10334?\n\"Answer: 649*w**2 - 30*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977*q**2 + 2191*q**2 + 702*q**2 - 3*q.\nAnswer: 3870*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 8*m + 42. Let r be t(-12). What is the units digit of 6\/(-9)*(r + 10 + -715)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -5*g + 427. Suppose -2*j + 118 = t, 0 = 2*t - t + 4*j - g. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79, 159, 239?\n\"Answer: 80*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -10*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 13. Let b be (4 + -3)*((-8)\/(-2) + 1). Let r be n(b). Solve -2*d - d + r = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/13, -3\/2, 17?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 0*c**3 - 12*c**3 + (2*c + 0*c - c)*(-2*c**2 - 2*c**2 + 2*c**2) + 0*c**3 - 3*c**3 + 4*c**3 to j + g*c**2 + i*c + q*c**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 22 = 2*h, 5*h - 3*i = -1 + 35. Calculate the lowest common multiple of 2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9303799?\nAnswer: 23, 404513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -166\nAnswer: -33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 751*z**5\/5 + 4*z**3\/3 - 13*z**2 + 135. What is the third derivative of q(p) wrt p?\nAnswer: 18024*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 4:04 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*sqrt(132)*-2)\/(sqrt(243)\/(sqrt(18)\/sqrt(2) + sqrt(9))).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from lsdseslse.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146297972 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 24*c**2 + 2*c - 89. Is b(-26) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7345 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*h + 925*h - 1135*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 224819356.52 and 0.4?\nAnswer: 224819356.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 37, -0.2, 4 in descending order.\nAnswer: 37, 4, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.7136 micrograms in grams?\nAnswer: 0.0000947136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 7*d + 4*d + 5058, -5*i - 12695 = 5*d. Let a be i\/(-45) - (-2)\/3. What is the highest common factor of a and 627?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 25. Let c = 13 - m. Suppose c = -5*y + y - 3*i + 36, -9 = -y - i. 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 prob of picking 2 i when two letters picked without replacement from {i: 6, j: 1, a: 7}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 102 = -6*t. Let o = 52 + -75. Let x = o + t. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1289.8 (b) -5 (c) 47\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 3*w - 607. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024179 is divided by 1590.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5*(-3)\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + p + 5. Let g be h(0). Let q(f) = -f**2 + 5*f + 10. Let n be q(7). Put g, n, -7, 3 in descending order.\nAnswer: g, 3, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*c + 352 + 1781 = 0, 0 = 3*f - 3*c - 1593. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 6, p: 1, y: 1}. Give prob of sequence ny.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:57 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -9*g + 4*g. Suppose 13 = 3*q - 41. Let b = -4 + q. What is the remainder when g is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oddd when four letters picked without replacement from ooommommomooodomo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 2*k - 5. Let o(q) = q - 3. Let t(a) = 5*o(a) - 3*s(a). Let i be t(-1). Let l be ((i - -2)\/(-2))\/(-2). Solve l = p + 4 - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8240 is divided by 1639?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1088 = f - 3*i, -i + 6*i - 10 = 0. Let l = 3018 - f. Is l a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537536 - 99023.\nAnswer: -636559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*1 + (-141)\/66)\/(237\/(-158)). What is the nearest to s in -0.5, -1\/9, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k\/((k\/(k\/(k\/(k\/(k**(-2\/9)\/k)))*k))\/k))\/k)\/k))**12)**47 assuming k is positive.\nAnswer: k**(-2068\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1765*d**3 - 34*d**2 - 42*d - 5. Give u(-1).\nAnswer: 1768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99000, -98999, -98998?\nAnswer: -98997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2134657.\nAnswer: 7, 467, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 5, g: 11, k: 2, n: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 45. Suppose 6 = 3*o, 3*h = 4*h - 5*o + 9. Is 22 a factor of (5 - 3)\/(h\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 18*j + 420 = 0. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + ((sqrt(252)\/sqrt(196))\/(sqrt(9) + sqrt(324)*2))**2.\nAnswer: 7099\/1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7885849*h - 7885849*h - 2498*h**2 + 156 wrt h.\nAnswer: -4996*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 m, and 1 d when four letters picked without replacement from mixmmxnmnxmdmcxnii.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 29*l - 9 = 2*c, 4*c = 12. Solve 9*n = 8*n - 3*o + 11, 0 = -3*n + l*o - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 767312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 8*h**3 - 9*h**3 + 20*h**3 - 4*h**3 in the form w*h + y*h**2 + k + u*h**3 and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*(-2 + sqrt(1539)) + sqrt(1539) - sqrt(1539))*-3 + 5.\nAnswer: -27*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2990 divided by -598?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92.06 - 93. Let v = j + 0.6. Let s = 0.340088 + v. What is s rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.6 + -16.6. Which is the closest to 0? (a) 2 (b) u (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(119)\/(sqrt(7) + sqrt(63))*-3.\nAnswer: -3*sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 8, -8, -34, -70?\n\"Answer: -5*t**2 + 9*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.08*0.4.\nAnswer: -2.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 230747224 from -11410.\nAnswer: -230758634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(6\/11)*c*c**(3\/8))**26\/((c\/(c*c*(c\/((c*c*c**(-11))\/c))\/c))\/c**(7\/2))**(-26) assuming c is positive.\nAnswer: c**(-13247\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-72)*0*5\/(-15)*-1. Sort 1581, 4, l in increasing order.\nAnswer: l, 4, 1581","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 8) to base 5.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-794)\/12 + 10\/15. Let w = m - -543\/8. Calculate the common denominator of 9\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28, 36, 34, 10, -48, -152, -314?\n\"Answer: -2*j**3 + 7*j**2 + j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:17 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*m - 3*h, 0 = 3*m + m - 3*h - 12. Suppose 108 = -11*s + 17*s. Solve m*r - 2*r = 4*x + 10, 2*r - 3*x - s = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Let i(j) = g - 3*j + 0*j + j**2 + j. What is the units digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 157 + 60)*(j**2 - 4*j + 1 + 1 + 0*j).\nAnswer: 251*j**2 - 1004*j + 502","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 9*y + 24. Let j be o(12). Suppose -2*d + u = -721, 5*d - u - j = -56. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**2 - 3. Let c(m) = 25*m**2 + 10. Suppose 3*t + 5*w - 46 = -77, -4*w - 15 = t. Give t*y(b) - 2*c(b).\nAnswer: 6*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9 - 4 + 5*o**2 - 11 - 4*o**2. Let k(u) = -u**3 - 2*u**2 + u - 1. Let m be k(-2). Let i be d(m). Solve i*f + 20 = -4*a, 0*f + 4*a + 4 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 49*y\/5 - 94\/5.\nAnswer: -(y - 47)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = 18. Let h be (-4)\/(-2) + 2\/(-2). List the prime factors of ((-10)\/6)\/(h\/f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from {z: 2, e: 1, f: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -68177671 * 2\nAnswer: -136355342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -200221110220002?\nAnswer: -200221110220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 11*n**2 + 9*n + 13. What is the remainder when m(-12) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 22*t**2 + 32*t + 25. Let v be p(-20). What is the greatest common factor of v and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1774 - 7*t**3 + 438 + 454 + 432 + 450.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/12 + 3*v**3\/2 + 5*v**2 + v. Let q be l(9). Let n = q - -4. Solve 0 = 2*j - 2, -4*j = 3*r + 2*r - n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 503299412?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/17))\/w)\/(w*w**(-2\/5))*(w**(-1))**(2\/47) assuming w is positive.\nAnswer: w**(-3037\/3995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004924158 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6082 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1762.5 * -18.7\nAnswer: -32958.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355 + k**2 - 353 + 1015 - 307.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -255 (b) -1 (c) 3\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2499782 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 23380740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*k - 10. Suppose -k*u + 56 - 183 = -4*d, u + 185 = 5*d. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2)*m)\/m)**29*m**(1\/3)\/(m*m**(-3\/2))*((m\/m**(1\/2))**(1\/45))**(-36) assuming m is positive.\nAnswer: m**(-857\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.81.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468*y**3 + 23 + 174 + 111 - 464*y**3 to the form d*y**2 + x*y**3 + r + n*y and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let y be 2521 + 9\/((-36)\/56). Calculate the highest common factor of 23 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37 and 35?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opoooooooopo. Give prob of sequence po.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 1. Let s(z) = -4*z**2 - 2*z + 2. Let a be 2\/3 - (-8)\/24. What is a*s(n) + 3*t(n)?\nAnswer: -n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61501110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2116558, 2116560, 2116562, 2116564?\n\"Answer: 2*u + 2116556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 1. Suppose -3*v + 2*v - 261 = 0. Let n = v - -302. Calculate the remainder when n is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 4341?\nAnswer: -4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -823*d**6*s - 2*d**2*s - 215*d**2 - s wrt d.\nAnswer: -98760*d**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -6. Let y = q - -9. Suppose m + 5 = -m + 5*k, 4*k - 27 = -3*m. Sort -4, m, y in descending order.\nAnswer: m, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 11*v**2 + 10*v - 108. Let p be z(11). Suppose 2*w = -4*r - 2*w + 24, -4*r + 3 = -3*w. Suppose p*n - r = 3. Solve -2*h - 7 - n = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/324 and 47\/4752.\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -21, 0.2, 2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8 (base 12) in base 15?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189281 is divided by 188654.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 + 359 = 8*b - 5*z, -b - 3*z = 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4744 - 0.283?\nAnswer: -4744.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = -30. Let t(s) = 2*s**2 - s - 4. Calculate the remainder when t(d) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*f + 5*v, 0 = -2*f - 4*v + 24 + 16. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165922 or 165921?\nAnswer: 165921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**3 - 18*t**3 + 64*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3339*a - 904877. Give g(-271).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 943?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-35))\/((-7)\/70). Solve f*o = 9*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/1995)\/(282\/6580)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 44, -2, -1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/((-490)\/1764)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13197 - 13148. Which is smaller: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43674809 greater than or equal to -43674809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -75*z - 77. Let l be p(-4). Let j = 339 - l. What is the highest common factor of j and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j + 12*j - 5*v - 91 + 286 = 0, -v - 4 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003574 rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48387 and 5715?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490900863.\nAnswer: 3, 8423, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1531352, -3062698, -4594044, -6125390?\n\"Answer: -1531346*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330440344 - -143?\nAnswer: -330440201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12*(10674\/2673 + -4) - -8*1\/18\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638875 to the power of 1\/2, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14232.36 milligrams?\nAnswer: 0.01423236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-6 - -2) - 1. Suppose 5*x = -5*s + 10, -4*x = -s + t - 10. What is the units digit of (s - 1) + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -100010001000000111011101010?\nAnswer: 100010001000000111011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexjxrjxjj. What is prob of sequence xe?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47840 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 + 4*j**2 - 9*j + 5. Determine i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/114 - (-5)\/6. What are the prime factors of k + 26 + (-1 - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/13 + 3556*f**4\/13 + 121314*f**3 - 3164840*f**2\/13 + 1584200*f\/13 = 0. What is f?\nAnswer: -890, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 - (-1210)\/150 - 2 and -11\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 174180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((368\/(-276))\/(2\/(-2)))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1 - (3 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t + 2*x, 4*x = 3*t + 6*x - 10. Solve -w - 3*w = t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7663 - -7662.8. Sort 238, z, 0.5.\nAnswer: z, 0.5, 238","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18, 0.4, -2, -1182, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. Differentiate 9*a + 0 + i - 9*a + 7*a**3 with respect to a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.2. Suppose 0 = 7*j - 3 - 25. Suppose 2*p - 18 = -j*p. Which is the second smallest value? (a) -5 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 4 (b) 1 (c) 2\/15 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/3 + 6800669*i\/3 + 2266890 = 0. What is i?\nAnswer: -1, 6800670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + k - 6 - 1)*(0 - 1 - 1).\nAnswer: -2*k - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 539353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.7 - 18. Let s = -0.5 - -1.3. Let v = 1.3 - s. Put w, v, -4 in ascending order.\nAnswer: -4, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3879, 3877, 3859, 3819, 3751, 3649, 3507?\nAnswer: 3319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 - -103. Let v(n) = -18*n + 31. What is the tens digit of v(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a2324 (base 11) in base 8?\nAnswer: 443725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -2*k**2 - k - 28. Let q = 1 - -4. Suppose 3*d - j = -3, -j + 3 + 2 = -q*d. Calculate i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 times -34?\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 5. Let w be p(0). Let r(u) = -10*u + 29*u - w*u + 6 - 11*u. Let s(z) = z. Determine s(r(f)).\nAnswer: 3*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010738 to 7 dps.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -143471 + 93?\nAnswer: -143389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2367, 2738, 3269, 3960, 4811?\nAnswer: 5822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/36 and 1\/15976.\nAnswer: 143784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87568, -87391, -87216, -87043, -86872?\n\"Answer: -n**2 + 180*n - 87747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941428 a multiple of 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14277512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*c + 2*c + 36, 3*g = -c + 27. Calculate the highest common divisor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -6?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:26 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 1843?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 7*z**2 - 16*z - 18. Is f(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**4*c\/(c*c**4\/c*c))\/(c**(-1\/2))**(-5\/9))**(-13) assuming c is positive.\nAnswer: c**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483142 is divided by 483025?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + p. Let q(d) = 2*d + 9. Let o be q(-4). Sort o, -5, p.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/36 + (14\/4)\/1 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 0*x + 4*x + (-5 - 2 + 0)*(-2*x + 2*x - 2*x).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/82 + -1389\/164. Find the common denominator of w and -119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 6, 2, -8, -24, -46, -74?\n\"Answer: -3*k**2 + 11*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 3. Let t be (0\/7)\/(-3 + f). Solve i + 6 = 4*u, t*u - 6 = 2*u + 4*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 100*h**2 + 2467*h + 1815. Determine k(-58).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -3.88.\nAnswer: 3.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h + 2*h)*(-2*h - 2*h + 6*h) + (3 - h - 3 + (-1 - 2*h + 1)*(-4 + 5 - 3))*(2*h + 2*h - 2*h)*(1 - 2 + 7).\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51112.94 - -49662. Round i to the nearest ten.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -13*m**3\/6 + 21*m**2\/2 - 13*m. What is t(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1084 + 1110. What is the remainder when 309 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 * -57951.\nAnswer: 4867884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -3*z**2 - 12*z - 37. What is the units digit of o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -20 + 24 - (0 - 2) - (20 - 3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -76\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115807 - 66929. Let o = -164718859\/3370 + t. Let m = o - 56451\/11795. Calculate the common denominator of 71\/12 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 233, 473, 715, 959, 1205, 1453, 1703?\n\"Answer: v**2 + 237*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357631 or 355868?\nAnswer: 357631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-25 - -20) + 28)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2311525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b*(b\/b**(-10\/13))\/b))\/b)\/b))**32*((b\/(b*b**(-33)))\/b)\/b*b**(-6\/7) assuming b is positive.\nAnswer: b**(13719\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 2. Let h be d(-8). Let w = h - -20. Let j = -6 + w. Solve -c - 2 - 2 = j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152570 is divided by 50855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 16\/3, 3\/5, -2, -9149, 4 in descending order.\nAnswer: 16\/3, 4, 2, 3\/5, -2, -9149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*i*v**4 + 1070*i*v**3 - i - 2*v**4 - 7*v**3 + 407953*v**2 wrt v.\nAnswer: 792*i*v + 6420*i - 48*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270417 is divided by 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6 + 3)*(-992)\/(-56). Suppose q*m + 10634 = 75*m. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 25*b**2 - 25*b + 57. What is i(24)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 - 2*j - 1. Let r(l) = -l**2 - 5*l - 4. Let c be r(-2). Let i be k(c). Let g = 52 + i. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3932.3 - -3932. What is the biggest value in -4, 0, t, -14, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -243340 - -b?\nAnswer: -243331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60965 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -25. Let u(q) = -q**3 - 7 + 0 + 7*q**2 + 2*q + 8*q. Is u(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llp when three letters picked without replacement from lzzzplplpvpvlz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 22. Let c(l) = -6*l**2 + 23*l + 20. Let r(o) = o**2 - 2*o - 5. Let j(m) = -c(m) - 7*r(m). Calculate j(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*((-180)\/8)\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifca when four letters picked without replacement from ihfcavh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 3*n**2 + n + 1. Let p be (-53040)\/17940 + 2\/(-46). Calculate t(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 2) + (-195590)\/(-42) + (-44)\/(-462).\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 7*d**5\/60 - d**4\/3 - 4*d**3\/3 - 16*d**2. Let g be a(-1). Suppose -10*w + g*w = -273. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/(106\/5)*4*(-1)\/(-16).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 14. Let r be u(-9). Let t = -105 + 101. Sort t, r, 5, 1 in decreasing order.\nAnswer: 5, 1, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 + 133515*z**2 - 41*z + 39*z - 5.\nAnswer: 133515*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2895 = -6*a + 171. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 + 100\/32)\/((-22)\/8) and -41\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.55 - 1.2. Let t = k - -19.65. Let r = 20.58 - t. Round r to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2. Suppose 2*k = -2*k - p - 3, 5*k = 4*p + 12. Let q(h) = h + h + h + h + k. Calculate q(a(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(23120\/(-3604))*(-20)\/8.\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u + 6. Let v = 3 + u. Solve 3*c = -v*c - 3*y + 18, -4 = -4*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-17 - -34 - 31).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 3:43 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -17*i**2. Suppose 39 - 54 = 3*q. Let x(j) = 162*j**2. What is q*x(g) - 48*f(g)?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4 - 1760*j**3 - 245997*j**2 - 11527191*j - 171562860 = 0 for j.\nAnswer: -369\/2, -36, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -359.66?\nAnswer: -363.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -56, -54, -60, -80, -120?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/39716 and -43\/76056140.\nAnswer: 76056140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/5070 and -14\/33.\nAnswer: 55770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 1 j when three letters picked without replacement from xukjzkh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, p: 2, e: 1, d: 1}. Give prob of picking 1 d, 1 p, and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43274, -43287, -43300?\nAnswer: -43313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*o + 11 = -5*o, -3*o - 29 = -5*t. What is the remainder when 25 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a2bc (base 16) to base 13.\nAnswer: -39a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 9 - 4. Suppose 8*m = 6*m - 5*c - 7, 0 = 4*m - 5*c - 61. Solve 2*b + m = k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 77.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Let v = p - -3. Let y = -3 - -7. Solve 0 = t - 2*x - 2*x + v, y*t + 6 = 2*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v + 128*v - 40*v - 49*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -0.027639?\nAnswer: -0.327639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -90, -207, -370, -579, -834?\n\"Answer: -23*a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.3 (b) -140 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 558 and 496.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*s - 26 - 4, s + 18 = 3*o. Suppose -4*p = -3*p - o. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -3. Let f(n) = n**2 + 10*n - 4. Let z be f(3). Let m be 7\/z + (-132)\/(-15). Is y < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k**3 + 65*k**3 - 127*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 147*n - 3744324 - 761079. What is the thousands digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -503 - -165. Let c = n + 342. Solve c*m = 6*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 87 + (6\/24)\/(1\/(-4)). Let u be 2 + -4 - 5 - -3. Is (6\/u)\/((-3)\/x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bd8e2ef + -3?\nAnswer: 1bd8e2ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 3:23 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-7) - (-29790)\/(-315). Let l = r - -112. Calculate the highest common divisor of 24 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.1556 microseconds in nanoseconds?\nAnswer: 304155.6","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -993 - -1819. Suppose -4*g = -2*w + j, -2*w + 200 = -2*g - 218. Let u = g - -427. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000055506 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 5, 1\/17, -2\/3, 72?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*4 + sqrt(22))\/sqrt(11) + -5.\nAnswer: -5 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1081, 2897, 7711, 17023, 32333, 55141?\nAnswer: 86947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2639762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 310, 710, 1282, 2032, 2966?\nAnswer: 4090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 75, 171, 337, 591, 951, 1435?\n\"Answer: 3*t**3 + 8*t**2 - t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141\/5 + 7\/10. Suppose k + 1 + 2 = 0. What is the common denominator of (-23)\/(-2) + 0\/k and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4*q + 207 = 0, -2*k - 3*k - 3*q - 2*q = -158 + 33 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 2*w - 1. Let o be k(-2). Let y be o - (-1)\/4*-4. Suppose 7 = n + y. Solve -4*t = -3 - n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = 31 - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 7*s**2 + 477*s + 965. Give a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3)*(-3 + q + 3) - 3*q - q + 2*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1215*c + 6054 = -1209*c. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-465)\/65 - 4\/26. Let t(p) = 7*p**3 + 7*p**2 - 7 - f*p**3 - 3*p - p**3. Is 12 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169 + -116 + -22 + 2 - 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422346186.\nAnswer: 2, 3, 23463677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2821\/273 - 2\/(-3). Let t = -14 + 33. Solve 5*b = 3*z - t, -f = 2*b - b + 3*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*k + 81. Solve 0 = w - 2 - k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, 31.8, -2 in ascending order.\nAnswer: -2, -0.3, 0.4, 31.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1*(-50)\/225. What is the closest to p in -0.3, -3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((15\/40)\/((-51)\/(-4))). Let m = -34 + b. Suppose -2*n + 6 = -a, 3*n - a + 0*a - 9 = m. Solve k = -4*c + 18, 0*k + 9 = n*c + 3*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(190) + ((sqrt(190) - (sqrt(190)*1 - sqrt(190)))*-3 + sqrt(190) - sqrt(190)) - -3*-2*sqrt(190)))\/(sqrt(60)\/(2*sqrt(726))*-1).\nAnswer: 1056*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m + 7*m - 5*m)*(-72*m**3 + 39*m**3 - 40*m**3) to w*m + g*m**2 + s*m**4 + o + z*m**3 and give s.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 90254 divided by -3\nAnswer: -90254\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q - 1. Let y be s(2). Let z = 28 + -27.8. Which is the second smallest value? (a) z (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from {x: 1, q: 1, i: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -53*n - 6. Let r(o) = -3286*o - 371. Let b(v) = 371*d(v) - 6*r(v). Let l(g) = g**2. What is b(l(f))?\nAnswer: 53*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1515 - ((-1188)\/154 + 63\/(-49)). Calculate the greatest common factor of 204 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1676889?\nAnswer: 3, 173, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/7 + 4836*h**4\/7 - 3429080*h**3\/7 + 535778736*h**2\/7 + 49098663424*h\/7 + 908664385536\/7 = 0. What is h?\nAnswer: -34, 342, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f*l*y + 2*f*x**3 - 15*f*x**2*y + 874*f*x*y - 53*l*x**2 wrt x.\nAnswer: 12*f*x - 30*f*y - 106*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/72)\/((-3)\/4) + (9640\/(-240) - -40).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 22 - 6)*(-1 + 9*h - 10*h - 3*h) in the form z*h + a and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/((-105)\/40)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16659.9 and 0.5.\nAnswer: -16659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 21*t + 28*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0*p + p**2 + 0*p. Let g(f) = -2*f**3 + 11*f**2 - 5*f + 3. Let a be g(5). Let h(k) = -a*k - 19*k + 30*k. Determine d(h(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 161469653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291 - 504. Let j = 211 + x. What is the second smallest value in j, 2, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70) - sqrt(70)*2*5) + (sqrt(70)*-1 - sqrt(70))*5)*-6)\/((-1*(sqrt(80) - sqrt(80)*-1))\/(sqrt(88)\/sqrt(176))))**2.\nAnswer: 22743\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j. Suppose j*y - 2 = -y. Suppose y*g = -g - 11400. Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*k - 18 - 107, 0 = o + 2*k - 28. Let s = o + -26. Let a = 63 + -60. Solve 20 = -a*d + s*v, 0 = -3*v + 6 - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 32199711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*r**3 + r**2 + 213*r**3 - r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5388154 - 1.7\nAnswer: -5388155.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -3 + 6)*(-1)\/(-1). Suppose -15 = -3*g - 0*k - j*k, 2*g - 9 = -k. Calculate the remainder when 11 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/4 + z**4\/4 + 9*z**3\/4 - 5*z**2\/4 - 4*z + 3 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from oufomfofssfzozf?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 4*i**5\/5 + 420*i. Let c(k) = -3*k**3. Give 28*c(y) + 6*l(y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 8. Let v(m) = -m + 1. Let d be v(h). Suppose -27 = -2*t - d. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/680)\/(304\/(-2280))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) - sqrt(8)\/sqrt(4)*5)*-4 + 0 - ((sqrt(12) - (sqrt(36)\/sqrt(3) + sqrt(12))*1)\/sqrt(6) - 4*sqrt(12)\/(1*sqrt(6))))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1364 and 267902?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -54.116 and -125.3.\nAnswer: -179.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 536842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3789961 to the power of 1\/2, to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 3) to base 8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 2*r - 1. Let u be 1 + (2 - (-4 - -2)). Let k be a(u). Calculate the greatest common divisor of 98 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, -14, -84, -178, -296, -438, -604?\n\"Answer: -12*d**2 - 10*d + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quuluqauuluqlaq. What is prob of picking 3 u and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 506970 and 13330?\nAnswer: 15716070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038982.\nAnswer: 2, 7, 47, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 292 + 2d?\nAnswer: 2bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((8\/(-28))\/(-11 + 5)). What is the greatest common factor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221909345 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -44\/123, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26109883547*n + 1650*n**2 - 26109883547*n.\nAnswer: 1650*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11160 and 80?\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8720 is divided by 1088?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1456.492 + -32.092. What is s rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*l + 4, -l - 5*c = 2*l - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 28. Let d(o) = 1 - 119*o + 119*o - 2*o**3 + o**n. Let s(x) = -3*x**3 - 5*x + 1. Let y(v) = d(v) - s(v). Find the second derivative of y(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 45. Suppose -g*u + 46 + 2 = 0. Calculate the remainder when 20 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 - 0.23. Which is the closest to -0.4? (a) i (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4492 + 4609. What is the remainder when 482 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28156321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let a(p) be the first derivative of -p**5\/30 + 4*p**3\/3 + 4. Let g(i) be the third derivative of a(i). Determine g(t(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 3 (c) 0 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9585 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 763 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 141.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47.79 and 242.\nAnswer: -11565.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13*i. Is j(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000912456 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 12. Let k be x(22). Is 4 a factor of (8\/4)\/((-2)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 20*b**3 + 5*b**2 - 15*b + 15. Let k(z) = -z**3 - z**2 + z - 1. Let w(m) = -c(m) - 15*k(m). What is the third derivative of w(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.582502 tonnes to milligrams.\nAnswer: 7582502000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -471 != -471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-3 - (-2 - 0)). Suppose 3*v = -4*a - 25, a - 3*v + 0*v + 10 = x. Let s(b) = -b**3 - 7*b**2 - 2*b - 2. What are the prime factors of s(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -432 divided by 27\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18859, -37651, -56391, -75085, -93739, -112359, -130951, -149521?\n\"Answer: -s**3 + 32*s**2 - 18881*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -41, -126, -255, -428?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1414 - 5?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7536 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1300) + -2 - ((-1 + sqrt(1300) - sqrt(1300)) + -4).\nAnswer: 5 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13256.2 to the nearest 100.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 141*c - 28 = 145*c, -c - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - 5. Let t be (-46)\/(-8) + (-8)\/m. Suppose -t*w = -5*w - 1. Which is greater: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 12808404217.\nAnswer: -12808404216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1008) - (2*(sqrt(1008) - (sqrt(1008) + 0)**2) - sqrt(1008))) + 3).\nAnswer: 6057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48322711?\nAnswer: 59, 819029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxf when three letters picked without replacement from xxfxxyxxxxxxxxxx?\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 312.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l + j + 105 = 0, 5*l = 2*j + 522. What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10 + 13 + 14 - 14 + 6*w. Is v(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 95*v + 571. Give h(-88).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.4, 1.23 in decreasing order.\nAnswer: 1.23, 0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10965, -1376, 4 in decreasing order.\nAnswer: 10965, 4, -3, -1376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257 + -253. Let f = 147 + -152. Sort 0, -6, f, n in increasing order.\nAnswer: -6, f, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47494, -94983, -142472, -189961?\n\"Answer: -47489*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 8*n + 24 + 32 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198297494849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**2\/2 - 13*b - 6. Differentiate w(c) wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4938, -4941, -4946, -4953, -4962, -4973, -4986?\nAnswer: -5001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*j + 16 + 25 = 0, 5*j - 53 = -3*i. Let s = -23 + i. Suppose 2*h - 2*a - 42 = 0, 2*a + s*a + 42 = 2*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2956\/325899)\/(3\/(162\/(-12)))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 11:53 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v)**(4\/9)\/((v**7\/v)\/(v\/(v*v\/v**(2\/3))))*(v\/v**(-3\/5)*v)\/v**4*((v*v*v**7*v*v*v*v)\/v)\/(v\/(v\/v**(-3))*v) assuming v is positive.\nAnswer: v**(322\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*(-31)\/155)\/((-3)\/(-125)). Factor 20\/3*b + 2\/3*b**2 + c.\nAnswer: 2*(b + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/3))**(-21)\/(w**(1\/3))**28)\/(w\/w**14*w**(-11))**(8\/9) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 153\/102*-16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -155. Calculate the greatest common factor of 55 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 - 4*u - 8. Determine m(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 4350456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888952 is divided by 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*(-9484)\/(-33194)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 23*i - 81. Give h(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*0*26\/(-52).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -5. Suppose 0*i + 81 = g*i. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18789 - -18861. Calculate the remainder when 2795 is divided by f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5318, -5307, -5292, -5273, -5250, -5223?\nAnswer: -5192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, -56, -523, -1438, -2951, -5212, -8371?\nAnswer: -12578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2264*j**2*k**3 - 10*j**2*k - 3*j*k**3 + 71*j*k**2 + 8*k**3 wrt j.\nAnswer: 4528*k**3 - 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 221\/(-1326)*328\/4.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -832000 to the nearest 10000.\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 3*w**3 + 5*w**3)*(3*w + 2*w - 4*w) - 3088 - 192*w**4 + 3088.\nAnswer: -191*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w**4 - 1\/70*w**7 + 1\/20*w**5 + 0*w**3 - 2*w**2 + 0*w + 0*w**6 + 0. Find the third derivative of o(h) wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - (sqrt(17) + -2)) - ((sqrt(204)\/sqrt(4))\/sqrt(3))**2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -1.06?\nAnswer: 11.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(5\/3))\/o))\/(o\/o**5)*o**40*o\/(o\/(o*o**26*o)))**(3\/11) assuming o is positive.\nAnswer: o**(214\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 less than 7?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 142041 = -5*m - 14105, 2*m - 13*h = 51089. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 6 - -12) + (-66 - ((14 - 12) + -6))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*d - 7. Suppose 17*y = 11*y. Suppose -22 = o + 5*t, t + d = -o - y*o. Solve -c + 2 + o = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3128821 millilitres to litres.\nAnswer: 0.0003128821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-220)\/(-1))\/(-1)*5. What is z rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807194747?\nAnswer: 807194747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(5 - 5 - t)*(4*t**2 - 8*t**2 - t**2)*(-3 - 9 - 4).\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 35*k - 9288 = 0. Let s = -1216 + k. List the prime factors of s.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 11*r**2 - 15. Let u(w) = 5*w**3 + 44*w**2 + 2*w - 61. Let k(q) = -9*i(q) + 2*u(q). What is the tens digit of k(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167425022537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 155107, 310214, 465321?\n\"Answer: 155107*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 25 = -52. Suppose 2*d - r + 29 = -4*o, 0 = 4*o - 4*d - 48. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 838, 4, 33, 5, 3 in increasing order.\nAnswer: 3, 4, 5, 33, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19190 or -19491?\nAnswer: -19491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/60 - 7*h**4\/24 + h**3\/6 - 3*h**2 - h. Let b be ((-3)\/2)\/((-18)\/(-60)). Calculate n(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (-1)\/(3\/438) is divided by (-200)\/(-150) + (-1)\/3 - -14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -10?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 687 = 40*d + 28*d. Solve -5*o - 13 + 34 = 4*k, -2*o = 2*k - d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 2, 3, -0.2, -545, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/60 - q**4\/6 - 4*q**3\/3 - 3*q**2. Suppose -a - 2 = -7, -5*a + 19 = t. Let g(v) = -v - 1. Determine t*g(h) + d(h).\nAnswer: -h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12064 and 76444.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15776 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -285, -33, -3 in descending order.\nAnswer: -3, -33, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(32)*4 - sqrt(288)\/sqrt(36))**2*-4.\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 652*c**2 - 3047*c + 10. Calculate x(4).\nAnswer: -1746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1344*m**2 - 297*m**2 - 192*m**2 + 3*m.\nAnswer: -1833*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2786, 5570, 8354, 11138, 13922, 16706?\n\"Answer: 2784*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = m - 0*y - 128, m = 4*y + 138. Suppose m = 3*i - 2. Suppose 0 = 2*v - i - 36. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(16\/6*(-19)\/(-152))\/((-121)\/363).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5982340 divided by -2660\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 378*h - 73173. Let g(p) = -p. Determine c(g(d)).\nAnswer: -378*d - 73173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 59*t**2 + 95*t + 22. Calculate m(-61).\nAnswer: 1669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -3368631.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 462*r**5 + 27022*r**4\/7 - 365920*r**3\/7 + 487720*r**2\/7 + 218016*r\/7 + 4608\/7 = 0.\nAnswer: -16, -1\/3, -12\/539, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l = 69*l - 2024. What is the greatest common divisor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 2, i: 3, o: 1, g: 7, t: 3}. What is prob of picking 1 t, 1 o, and 1 u?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - (181 + -96)) + (0 - (-1 + 0))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1202, 14.7, -4?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12.676, 2, -0.1, 1\/6, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -30 + 5. Suppose -r*t + 22 = -y - 2*y, 3*t = 4*y + 22. Suppose -3*b - 3*m - 5 = 2*m, 2*m = 2*b - t. Which is smaller: -3\/14 or b?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 0*h - 2*h)*(-2*h**3 + 2*h**3 + 5*h**3) + h**4 - 9*h**4 + 2*h**4 + 2*h**4 - 3*h**4 - 2*h**4 + 2 - 2*h**4 - 2 + (-h + h**4 + h)*(-6 + 3 + 1).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/6, 8\/3, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**6\/480 + t**5\/240 + t**4\/6 + 5*t**3\/6 + 91*t**2 + 172. Let k(x) be the second derivative of c(x). Solve k(o) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 107*w**2 - 55*w**2 + 98*w**2 - 190*w**2.\nAnswer: -254*w**2 + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1126\/901701?\nAnswer: -1126\/901701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427678321.\nAnswer: 193, 509, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*t + 125 = 1738, 5*t - 3223 = 2*c. Let z be 4\/(-24)*(-38931)\/4. Let x = c + z. Find the common denominator of -91\/4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.29. Let z = 0.09 + h. What is the biggest value in z, -2\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 14 = 6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1300) + 2)**2 - (2 + sqrt(156)\/(sqrt(12)*-3)).\nAnswer: -59*sqrt(13)\/3 + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:20 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/(-6))\/(2\/(-3)). Suppose -q - 4*y - 4 = 3*q, -q = -2*y - t. Let b(r) = r**3 - 3*r**2 - 2*r - 4. Determine b(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 32.1. Let a = g + -2.2. What is the second biggest value in -0.2, a, 4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 + k + 5065. Let p(y) = 8*y**2 + 7*y + 13. Let t be p(-3). Let n be 1*4 - t\/16. Is u(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:09 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 137, -1 in ascending order.\nAnswer: -4, -1, 2, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.53108ms?\nAnswer: 2531080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 11. Let l = 2118 + -2113. Calculate k(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*2\/28)\/(0 + 140\/98).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 32*y - 2668. Let r(p) = 11*p - 896. Give 17*r(t) - 6*w(t).\nAnswer: -5*t + 776","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 9293 - 1613 = 0. Is j less than 320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -11202 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21538.3*4.\nAnswer: -86153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d - 24*d + 3*d + 7*d**2 - 21*d + 7*d + 4 as v*d + a*d**2 + w and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*z = -3*z, 3*t - 22 = 4*z. Let f = 0 + 4. Is 7 a factor of t\/f*68\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - (-75 + -70) - (20 - 0).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*c - 15 = -0*k, 2*k - 4*c + 16 = 0. What is the remainder when (-18 + 19)\/(k\/56) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 906\/153 - (-26280)\/(-44676). Suppose 0 = 3*u - 2*u. Let i = 6 + u. Which is greater: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 9. Let x(v) = -v + 2. Let g(h) = -2*p(h) - 9*x(h). Let t be (-82)\/(-5) - 2\/5. Let j(c) = c + t - 11 - 5. Determine j(g(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -104 (c) -2\/7 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a1b4 (base 15) to base 13.\nAnswer: 32c6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 583 (base 15) to base 9\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - 183. Let y be -3 + c\/(-12) + -2. Let b = 3 + -4. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/3 + 2*d - 1. Let s be 3 - (14\/4 + 75\/50). Give y(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-119)\/9282*39*(-1)\/(105\/(-6))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 175*l - 205*l + 55 + 32.\nAnswer: -l**2 - 30*l + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 25\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -650, 5\/2, 10, 2\/3, 6, -8, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 0, -c + i = -3. Let b(f) be the first derivative of 2*f**3\/3 - 2*f**2 + f + 1. Calculate b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367 - 369. Let v = -29\/84 + 2\/21. Let x be (-2)\/(-12) - (-3)\/9. Which is the smallest value? (a) v (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:00 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m = 38*m + 371 - 56 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 6\/11, 5273106?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.155 + -0.004. What is r rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 0. Suppose l*u + t + 7 = 5*u, 0 = -2*u - 4*t - 10. List the prime factors of (1\/(-3))\/(u\/(-171)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358567 by -37.\nAnswer: -9691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -298.359578 rounded to 2 dps?\nAnswer: -298.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o**4 - 129*o - 119*o + o**2 + 247*o + (5*o**4 + 0*o**4 - 3*o**4)*(4 - 1 - 4).\nAnswer: 8*o**4 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -179, -169, -155?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:58 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -505214?\nAnswer: 505235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y = 16. Suppose 0 = -2*c + 3*c, -3*h = 3*c + 18. Let v = y - h. Solve -2*a + b = -v*b - 21, 4*a = -3*b - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (82\/82)\/((-10)\/(-2)). What is the third biggest value in 1.7, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203.\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28412899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*n + 53, -t - 2 = -3*n - 23. Let b = t - 9. What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 - 2*f - 1. Let k be x(-1). Let m be 1 + 20\/(-28)*k. Which is smaller: 0.2 or m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276863 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > 9.331086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -421, -1661, -3751, -6715, -10577, -15361, -21091, -27791?\nAnswer: -35485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 64269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-8))\/((-3)\/6). Let v(h) = -4*h - 6. Let p be v(-1). What is the closest to p in -3, -0.4, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2, -32, 4694 in decreasing order.\nAnswer: 4694, 1, -2, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, c: 3}. What is prob of picking 1 c and 3 v?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -20861 to the nearest 100.\nAnswer: -20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 86 = -8*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39416?\nAnswer: 2, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 236, 634, 1198, 1928, 2824?\n\"Answer: 83*w**2 + 149*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/((-90)\/10))\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 268? (a) -2 (b) -96 (c) 0.9 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 98\/9, -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1))\/((-4)\/42). Let i = t + -12. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from iirllrrilzrioi?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-4)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 2*n**2 - 17*n**2 - 39.\nAnswer: -19*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 10:01 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 21 = -2*n, -337*j - 2 = -339*j - 6*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -230011?\nAnswer: -230101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 17*x**9\/84 - x**7\/105 + x**5\/30 - 13*x**3\/2 + 123*x**2. Find the third derivative of a(d) wrt d.\nAnswer: 12240*d**3 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3639*l - 5*l**3 + 1834*l + 1805*l + 4*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(-1 + sqrt(1539)) - (-4 + (sqrt(1539)*1 - sqrt(1539)) + sqrt(1539))).\nAnswer: -27*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1739, 1770, 1817, 1874, 1935, 1994, 2045, 2082?\n\"Answer: -n**3 + 14*n**2 - 4*n + 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-85)\/20)*8. Which is the nearest to z? (a) -1 (b) -2\/3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4333 - 0.047.\nAnswer: 4332.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -24689692.\nAnswer: -49379384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8904\/(-120204)*(-54)\/(-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(42)\/(sqrt(7) - (sqrt(7) + sqrt(21)\/sqrt(3))))\/(-2*sqrt(242) + sqrt(242)))*-3.\nAnswer: -12 - 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 - 9*c - 15. Let t be h(-5). Solve 23 = 5*r + 4*u - t*u, 0 = -5*r + 4*u + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/49 - 312\/1071. Let p = -827\/1071 + a. Calculate the common denominator of p and 3\/(-9) + 334\/30.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 1 + 1 + (5*m - 2*m + m)*(0*m**2 - 5*m**2 + 2*m**2).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -2, 0.1 in increasing order.\nAnswer: -2, 0.1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49013226.\nAnswer: 2, 3, 2722957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829.3753ns to seconds.\nAnswer: 0.0000008293753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*v - 356 + 389, -2*v + 7*s - 27 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let g(i) = i. Let a(j) = -48*j - 3. Let f(c) = 2*a(c) + 22*g(c). Let p(l) = -63*l + 13 + 118*l + 95*l. Let n(u) = 13*f(u) + 6*p(u). Give t(n(o)).\nAnswer: -62*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 1:37 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1797, -1193, -587, 21, 631, 1243?\n\"Answer: p**2 + 601*p - 2399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7810903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*g - 17 = 0, 28 = 4*m + 3*g + 5. Suppose -7*i + m = -6*i. Solve -40 = -4*h + 4*v, h + i*v + 20 = -0*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 11. Let t = x - 5.992. Round t to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -0.0427753?\nAnswer: -1.9572247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 39945 divided by 3\nAnswer: 13315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001088107 to six decimal places.\nAnswer: -0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -21*g**4\/4 + 3. What are the prime factors of l(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -15, -20, -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/4693, 0, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 105. Suppose -33*h + 19*h = -s. Determine q so that 8\/3*q + 2\/3*q**h + 8\/3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*d - 239*d + 450*d = -84 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(27))\/sqrt(3))\/(3*(sqrt(243) + sqrt(3))).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**6\/660 + v**5\/55 - 7*v**2\/2 + 20. Let x(d) be the second derivative of b(d). Solve x(r) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 491 - 490. Let k = -5 + 8. Put b, -1, k in descending order.\nAnswer: k, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 7, k: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 18. Let h(o) = 2117*o - 9198. Give -511*b(j) - h(j).\nAnswer: -2117*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/12)\/(1\/(-3))*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21471 + 38556. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.8 or 170222?\nAnswer: 170222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3615.565 tonnes in grams?\nAnswer: 3615565000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1626, 56 in increasing order.\nAnswer: -8, 56, 1626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90949650593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*j**3 + 2526*j - 33*j**3 - 5044*j + 2518*j - 3*j**2.\nAnswer: -j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*w - 18 = 0, 4*l - 39 = -l - 3*w. Suppose 5 = -m + l. Let u be (m + -1)\/(0 + 2). Sort u, 3, 1 in decreasing order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-4) + (-4)\/(-16). Let q = a + 1. Suppose 29 = z - q. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 45*u + 50*u + 40, 3*u = -f - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (518480\/(-255))\/((-30)\/9). Let n = 610 - x. Is n at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1771, -3479, -5189, -6901, -8615?\nAnswer: -10331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/7 - 3389*x**2\/7 + 1130376*x\/7 - 90067536\/7 = 0. Calculate x.\nAnswer: -3701, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -5*p**4\/24 - 103*p**3\/6 - 2*p**2 + 496*p. Calculate s(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 346983232 and -22770?\nAnswer: 347006002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxt. What is prob of sequence tb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * 723652.\nAnswer: -1736764.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w**2 - 58*w**2 + 8*w**3 + 106*w**2.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -424*l + 205*l + 205*l. Let j(o) = 2*o**2 + 5*o**2 + 0*o**2. What is r(j(z))?\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-119) - (2 + (-192)\/102).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*r - 6*r + 3 + 145. Let o(l) = 56*l + 2. Let x(z) = 279*z + 11. Determine r*x(b) - 11*o(b).\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4855990 divided by 46?\nAnswer: -105565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4666.45728 rounded to the nearest integer?\nAnswer: -4666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and (30\/20)\/(1\/2).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 7*b**3 + 104*b**2\/3 + 28*b.\nAnswer: b*(b + 1)*(b + 6)*(b + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 11*a + a**4 + 8*a**2 + 18*a - 5*a**2 - a - 3*a as r*a**3 + w*a**2 + v*a**4 + k*a + p and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1. Let g(u) = 87*u**3 + 9. Determine -9*a(q) - g(q).\nAnswer: -87*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4902*o - 179559 - 43619 = 30014 - 8092 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17488.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let r(l) = 6*l**2 - l + 2. Let g be 10\/(-65) - (-108)\/26. Give g*v(n) + r(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -4\/5 (b) -5 (c) -7 (d) 3.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5885 and 3.\nAnswer: 17655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 51. Let y = -10 - z. Let c = 25.949 - y. What is c rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(2 + 5*d - 12*d - 4*d) to the form t*d + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 1128*d\/5 + 45.\nAnswer: 3*(d + 75)*(5*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435438 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 278671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1223 (base 7) to base 8\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19434848, -38869699, -58304550, -77739401, -97174252?\n\"Answer: -19434851*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/5)*g**(3\/14)*g\/g**6*g*g*(g**(-8)*g)\/g assuming g is positive.\nAnswer: g**(-797\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 + 4*w**2 + 2*w**2 + (268 - 268 - 14*w)*(2*w - 5*w + 4*w))*(4*w**2 - 3*w**2 - 2*w**2) to k*w**4 + j*w**2 + n*w + h + b*w**3 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2.3, -0.05, 3, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -23, 0.05, 8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 1\/2*p**2 + 70 + 10*p. Give f(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170741 - 170?\nAnswer: -171021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(-12) + (-34)\/(-51). Let t = -22\/7 + 73\/21. What is the closest to -2\/5 in 1, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*x - 2*i - 78, -3*x + 54 = -3*i. Calculate the smallest common multiple of x and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*v + 18 - 2, v = 4*m - 13. Let o = -167 + 145.8. Let l = 21 + o. What is the nearest to 1 in l, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143316408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 12:52 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 23. Let q(v) = 52170*v. Give q(r(m)).\nAnswer: -156510*m - 1199910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4 + 7. What is the tens digit of 2\/(8\/1540*5) + d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, -11*x - 112 = -4*o - 16*x. Suppose 4*h - 2*z - 1772 = 0, h - 421 = -33*z + o*z. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 greater than or equal to 1431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkkjkkwjjkjkjkjjkjk. What is prob of sequence jw?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 4*d - 7. What is j(8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(275)\/(-2*sqrt(11)) - sqrt(25)) + sqrt(150)\/(sqrt(18)\/sqrt(3))))\/(5*sqrt(720)*-1*1).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -59. Suppose 8*v = 2*v + c. What is the common denominator of (v - 14) + (-8)\/9 and -1\/39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwnnnnn. Give prob of sequence nnw.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 10:33 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssbsssrrscjsrcr. What is prob of picking 1 s, 1 b, and 2 j?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*l - 347*l - 103412 = 572*l - 301*l for l.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*x + 9 - 0, 2*q + 11 = -3*x. Let c = 35 - q. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-6)\/2) - 3. Let k = x - -5. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85, -57, -11, 53, 135, 235?\n\"Answer: 9*j**2 + j - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x*x)**(2\/117)*(x*x\/(x\/(x*x\/x**(-1))*x))**(2\/9)*x**(-4)*x*x\/(x**(1\/15)*x)*(x**(2\/3))**(9\/8) assuming x is positive.\nAnswer: x**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 + 3939*u**2 - 3818358*u + 34043976 = 0. Calculate u.\nAnswer: -1964, 9, 642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3074756 + 463244. Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/575 + -3461\/6325. Let o = k + 40\/33. What is the closest to o in -3\/4, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 36. Let m be v(10). Let o be -30*11\/(m\/(-20)). Let r = 95 - o. Which is the biggest value? (a) 4 (b) 0.5 (c) -0.08 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.51 * 52\nAnswer: 26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*o - 443*o - 8583 - 3192 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -522 - -632. What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125*f + 38*f + 52*f)*(2 + 5 - 1)*(14 - 4 + 0) as i + o*f and give o.\nAnswer: -2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let l(p) be the third derivative of 0*p**3 - 3*p**2 + 0*p**4 + 1\/12*p**5 + 0 + 0*p. Determine b(l(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*(j**(-16\/9)*j)\/j*j)\/j*j*j)*j\/(j**(1\/2)*j))\/(j*j\/(j\/((j\/j**(-28))\/j*j*j*j))*j\/(j**(1\/13)\/j)) assuming j is positive.\nAnswer: j**(-8107\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-20.\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/15, -767, 4.63 in decreasing order.\nAnswer: 4.63, 8\/15, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 1 - (-6)\/(-14). Let q = 131 - 146.2. Let x = q + 10.2. What is the second biggest value in u, x, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1573)*1)**2 - -1*2*sqrt(1573)) + 1 - (-5*sqrt(39)*3)\/(sqrt(27)*3).\nAnswer: -61*sqrt(13)\/3 + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4) + 17 + -1. Calculate the remainder when 32 is divided by ((-36)\/(-5))\/(((-18)\/w)\/(-3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27761420 is divided by 136?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (13 + (-4 - 3)) - 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, 4, -5 in increasing order.\nAnswer: -5, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose 2*r - 9 - 9 = b. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/154512 and 95\/34610688?\nAnswer: 34610688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112034.\nAnswer: 2, 13, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4161.5 millilitres to litres.\nAnswer: 4.1615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 - 119. Suppose -18*c = 3 + v. Sort c, 3, -33 in decreasing order.\nAnswer: 3, c, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-16 + 5 + 7 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 13*p + 15. Let h be w(-13). Suppose 6 = 3*t, 5*z + 0*z - 5*t = h. Let g be (-2 - 0)*(-1)\/2. Solve -4*o + z = g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 14) in base 9?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702.278ml in litres?\nAnswer: 5.702278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 o when three letters picked without replacement from {h: 3, v: 3, l: 8, u: 1, o: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4537 divide 2904802302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/462 and 107\/8932.\nAnswer: 26796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/8*(748\/(-33))\/(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lklk when four letters picked without replacement from kkglooookokolokkkoll?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19113743386 - -19113746579.6369919. Let h = a + -3193.65. Let v = 0.013 + h. What is v rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*f - 254*f + 2 = -83*f - 79*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 - -12.94.\nAnswer: -15.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.0988 + -0.0988. Sort 3\/2, 0, i.\nAnswer: 0, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*u = 202*u + 147. Let h(m) = 7*m + 1. Let b(c) = 15*c + 2. What is u*h(q) + 3*b(q)?\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79732041 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 1, s: 1, q: 1, f: 1}. Give prob of picking 1 q, 1 f, and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 7) in base 16?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 58\/589601?\nAnswer: 58\/589601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -18*n. Let r(c) = 8*c. Let f(x) = 2*k(x) + 5*r(x). Let g(v) = 17*v. Determine f(g(h)).\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*c + 162*c + 2330 = 0. List the prime factors of c.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 917 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 2. Suppose -2*p + p = 3*s - 8, 5*s = p - 24. Calculate the remainder when p is divided by g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/70*14\/(-2). Let h(u) = u**3 + u + 4. Let w be h(0). Solve -3*t = -l*t + w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2249, 2245, 2231, 2201, 2149?\n\"Answer: -m**3 + m**2 + 2249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11795600 rounded to the nearest 100000?\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1800\/840*(56\/6)\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/156 and 19\/22.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + s**2 + s - 70. Let y be f(0). Suppose -156 = -5*r - 746. Let g = y - r. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(-39) - (-3)\/(-9). Solve q + 4*u + 5 = j, u + 1 = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-15 - -13) + 0 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let q = 1 + -2. Suppose -5*n + 0 = -2*r - 1, -n = -r + 1. What is the third biggest value in q, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 30*r - 2. Let m be o(2). Let d = m + -5. Let b = d + -20. What is the remainder when b is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 - k - 1. Let m(n) = -5*n**3 + 8*n**2 - 8*n - 6. Suppose 578*f - 505*f - 438 = 0. What is f*a(w) - m(w)?\nAnswer: -w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -7. What is the closest to s in -4, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 172, 571, 1348, 2629, 4540, 7207, 10756?\n\"Answer: 21*p**3 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + (2 - (-3 + 3)) - -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -31.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**5 + 3936*n**4 + 813712*n**3 + 40793984*n**2 + 204069888*n - 577888256 = 0.\nAnswer: -88, -8, 2, 1166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(30\/36*(-6)\/20). Suppose -4*d - w = 6*d. Let m be (4\/51)\/(d\/36). Is m at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23\/58 (b) 1\/5 (c) 0.1 (d) -0.7 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*k + 3 = 0, -3043*q = -3040*q - k + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:01 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 17*a = -3*c + 66685, -2*a - 4*c = 26700. Round a to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 421, 15, 19.\nAnswer: -16, 15, 19, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -358675.69089 take away -0.73?\nAnswer: -358674.96089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y**2 + y - 1. Let j be d(1). Let s(g) = 2*g**3 + g**2 - 21*g + 17. Let f be s(3). Does f = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13530\/738)\/(((-51)\/(-34))\/(18\/(-10))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -338467921\/640 + 528856. Calculate the common denominator of -101\/32 and t.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 + 3.156. Let h = -10.956 + j. Let m = 13 + h. What is the second biggest value in 2, -1\/2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = l + 3, 0 = -5*u + l + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*k + 51. Suppose 2*f = 4*f + 4*z - k, 5*f + z = 21. Let q = f - 1. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -504*q**2 + 15*q - 34. Let v(w) = 2521*w**2 - 73*w + 161. Calculate 19*l(y) + 4*v(y).\nAnswer: 508*y**2 - 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 - 4927 + 4607*a**2 - a**3 + 4928 in the form j*a**3 + h*a + p + s*a**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 10168 = -7619. What is the greatest common factor of 56 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 132\/(-10)*5\/(-2). Let g = x + -56. Let h = g + 44. What is the highest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**3 + 14*l**2 + 9*l - 4. Let f(j) = j**3 + j**2 - 1. Let t(w) = -a(w) + 5*f(w). Let m be t(-7). Let o = m + 38. Solve o = h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2522 and 193453?\nAnswer: 37529882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 46*p + 191. Determine v(41).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/259*(-20)\/32*(-64)\/(-16).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oojjjjjojoojo. What is prob of sequence jj?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2) + -4 - (-1 - (-7 + -2) - -31).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1363 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**3 + 65*o**2 - 78*o + 40. Calculate s(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3) - sqrt(3)) + 2 - sqrt(36)\/(sqrt(36)\/sqrt(3)) - 2*(sqrt(3) + -1 + sqrt(3))*1)**2.\nAnswer: -56*sqrt(3) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 1 + sqrt(153) + sqrt(153) + 3 + 2)**2 - (-5 + sqrt(153) + sqrt(153) + -2*sqrt(153)*-1 + sqrt(153))**2.\nAnswer: -2437 + 258*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2470 - 2400. What is the smallest common multiple of 4 and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/13, -0.4, 32.026 in ascending order.\nAnswer: -0.4, 12\/13, 32.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -169*g + 174*g - 56 - 90, 0 = -4*g - 8 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/96 and (-2096)\/192 + (-6)\/(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(684) + 2*sqrt(684))**2 - (-2*-2*sqrt(133) + sqrt(133))\/(sqrt(28)*-4).\nAnswer: 5*sqrt(19)\/8 + 6158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 + 11*o - 15. Let p(v) = v**2 - 3*v + 4. Let k(f) = 6*n(f) + 22*p(f). Let i be k(3). Calculate the greatest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279442 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f**3 - f**2 - f. Let t(h) be the first derivative of -h**4\/4 + 10. What is -5*t(o) + y(o)?\nAnswer: -o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965513 is divided by 15809?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -57305*r - 687671. Determine o(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + ((-24)\/(-6) - -591)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46096100 to the nearest 1000000.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 13. Let p be 68\/i - (-2)\/4. Suppose p*o - 4*o = 65. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -573.9311 rounded to one dp?\nAnswer: -573.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2. Let h = -59 - -92. Let q(l) = -12*l - h*l - 30*l + 91*l. What is t(q(k))?\nAnswer: 768*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 4*i + 12. What is the nearest to -0.1 in 1, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12600, 2\/5, -1 in descending order.\nAnswer: 12600, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 - 1 - 13)*(-3 + 4 + 4)*(2*m + 0*m - 5*m) in the form u + n*m and give n.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {g: 5, k: 3, h: 3, q: 1, x: 1, z: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -55 - (26 + (-43 - -6))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 2841016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m + 1. Let h be (-2)\/6 + 186\/(-9). Does 6 divide m*h\/(-2) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 3460 = 31*n. Suppose 0 = -5*w - n + 2682. List the prime factors of w.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z - 3*z + 12*z)*(-4 - 3 + 2).\nAnswer: -95*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-15*s + 7*s + 25*s) + 1063*s - 698 + 1393 - 693.\nAnswer: 1080*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**4 + 139*s**3 + 688*s + 1.\nAnswer: -72*s**2 + 834*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 97*v + 1128 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3 and (5 - (-4435)\/(-790))\/(9\/(-3))?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*-2)\/(30\/(-180))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {o: 1, f: 3, j: 4, t: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89? (a) 15\/29 (b) -2 (c) -39 (d) 15 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 26 (b) -15 (c) 8\/3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 152, 120, 68, -4, -96, -208?\n\"Answer: -10*d**2 - 2*d + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1948?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 203338*b - 203335*b = 228, 14*p + 3*b = -240 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**3 + 3*i**2 + 4*i + 4. Let p(z) = -z**3 + z + 1. Suppose -2*n + 0*n - 10 = 0. Let u(b) = n*p(b) + w(b). What is u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56\/5 + 2\/5*y**2 + 22\/5*y.\nAnswer: 2*(y + 4)*(y + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/11007 - -117410\/11007. What is the second smallest value in -4, g, -16, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 + 0*p**2)*(p**2 - 2 + 2) + (p + 0*p - 3*p)*(4*p**3 - 11*p**2 + 11*p**2).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 6*z**2 - 8*z - 5. Let i be k(-5). Suppose 0 = 2*v - 4. Suppose 2*d + d + 77 = 4*b, 2 = v*d. Calculate the highest common factor of b and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250541*b**2*j**3 + b**2*j**2 - 5*b**2*j + 3*b*j**3 + 802*b*j**2 - 2*b*j - 2*j**2 wrt j.\nAnswer: -1503246*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*d + 324*d - 2*z = 574*d - 16 - 10, -4*d = 6*z - 56 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -182207 (base 10) to base 6\nAnswer: -3523315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 11, 6, -3, -16, -33, -54?\n\"Answer: -2*w**2 + 5*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 1, -9, -23, -41, -63, -89?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - -79. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 18, p: 1}. Give prob of sequence pr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sse when three letters picked without replacement from {p: 3, s: 3, u: 1, e: 1, y: 2, w: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u - c, -4*u - 6 = -2*c - 0*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k - 1242 = 55*k. Does 46 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12 + (-84)\/10 - 4. What is the nearest to 2\/9 in b, 5, -11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/9*10*(-126)\/105\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 385d7 (base 15) to base 8\nAnswer: 537752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173875, -173879, -173883?\nAnswer: -173887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1323 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72400 is divided by 81?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232 + 243 = 25*p. Determine z, given that -3*z**2 + 34 + 80*z - z**2 - p - 53 + 2*z**2 = 0.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a - 70*a**3 - 6*a + 67*a**3 - 30*a**2.\nAnswer: -3*a**2*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 5*z**2 - 2*z + 2. Give a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-45)*-3 - 10\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9270407 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1314*d**3 - 8*d + 7. List the prime factors of r(1).\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (4\/(-56)*-4)\/((-9)\/42). Let w(u) be the first derivative of -38 + 0*u**2 + 40*u - g*u**3. Differentiate w(k) with respect to k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -1 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 2. Let n be g(2). Suppose n = 2*y + c - 3*c - 40, 2*y - 54 = -5*c. Calculate the greatest common factor of 242 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (117\/15 + -8)*(50\/(-30))\/((-2)\/(-4))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 178, 202, 236, 274, 310, 338?\n\"Answer: -p**3 + 11*p**2 - 2*p + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/30 + c**2\/2 - 4*c. Let p(o) be the first derivative of y(o). Let j(u) = 9*u**2. Give p(j(k)).\nAnswer: 162*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/3448?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.5, -49, -3, -142?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -358 or -357?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 53*i = 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*3\/((-54)\/(-15)). Suppose -a*o = -2 + 7. Let l = -79 + o. What is l rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 0*b**2 + b**2 + (b**2 + b**2 + 3*b**2 + (0*b - 2*b - b)*(b + 2 - 2) - 2*b**2 - b**2 + 0*b**2)*(2 - 3 + 0).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003526994?\nAnswer: 2, 3, 719, 232621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729263 to the power of 1\/2, to the nearest integer?\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 4*z - 0*z. Let n be (-10)\/12 - 6\/z. Let v(y) = y**3 - 5*y**2 + y - 6. Let j be v(5). What is the closest to j in n, 0.2, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -37.9924. What is z rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5, -23*m + 18 = 5*z - 21*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s + x, 5*s + 2*x - 41 = -2*x. Find the third derivative of 2*v**4 + 5*v**5 + 10*v**s - 2*v**4 + 3*v**2 wrt v.\nAnswer: 900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 366*g**2 - 7*g - 356*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 42528?\nAnswer: 42527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8a42a2 (base 11) to base 5\nAnswer: 332043441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -236*w**2. Let n(z) = 70*z. Determine n(r(k)).\nAnswer: -16520*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -o + 28 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -14. Let j(g) = -3*g + 5*g + 4*g**2 + 2*g**2 + 3*g**2 - 2. Let p be j(h). Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - -1547. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + sqrt(85)\/sqrt(5)) + sqrt(17) + (sqrt(17) - (2*sqrt(17) - sqrt(17))*-2).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x + 28 = 0. Let u be 11 + (4 - 3) + -5. Calculate the highest common divisor of u and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/11 - (-45280)\/1760\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5249?\nAnswer: 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-9))\/(7\/28)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.7 + 62. Let n = -3258.4 - -3258. What is the nearest to -1 in n, f, 2, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813.6608mg in nanograms?\nAnswer: 813660800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126071 + 211822. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16*b - 5. Let r(c) = 8*c + 2. Calculate -2*n(a) - 5*r(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*p - 16, 29 = 2*i - 1533*p + 1530*p + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -26*c - 1. Let y be l(0). What is the third smallest value in y, 2\/3, -153\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 2\/((-1514)\/(-168) + (-72)\/8).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3461 + 3471. Let n = -4 - -6. Suppose d = -5*u, 2*r + 15*u - n = 16*u. Put -5, -1, r, 1 in increasing order.\nAnswer: -5, -1, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1316*u**2 - u + 10. Let w be j(-7). Let b(z) = 5*z - 75967*z**2 - 4 - 45783*z**2 - w*z**2. Let a be b(4). What is a rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 56 = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**2 + c. Let o be i(-1). Suppose 0 = -4*a - 3*g - g - 20, -4*g = a + 20. Suppose o = -a*n + 5*n. Solve 2*j = -t - 1, j + n*t - 10 = -2*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/273*((-110)\/(-10))\/110*-1?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (738 - 738 + 631*n)*(-5*n - 6*n + 2*n).\nAnswer: -5679*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 34*w - 65 = 35*w, -4*w = 2*i - 60. Suppose t - 1 = m - 34, 5*m - 157 = -3*t. What is the highest common divisor of i and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m - 57*m - 1998 = 19*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*w + 10 = 3, 0 = 4*w + 12. Let n be (4\/a)\/((-1)\/(-15)). Factor -7*b + n + 3*b**2 - 7*b + 2*b.\nAnswer: 3*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4119400*h**5 - 738*h**2 + 1290*h wrt h.\nAnswer: -247164000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 48\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70810 is divided by 10115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -223785, -223804, -223823, -223842, -223861?\n\"Answer: -19*y - 223766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74.691 + -75.1. Let r = p + 0.68. What is r rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 226314 and 8546846?\nAnswer: 692294526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 23 - 2*s - 54 + 28. Suppose -3*t - 24 = 4*u, -2*u - 17 = 5*t + 9. Determine b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)\/(p*p\/p**(-5\/2))*(p\/p**1)**(7\/2))\/((p**(2\/7)\/p)**(-16))**(-9\/4) assuming p is positive.\nAnswer: p**(325\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 2*l**3 + 0*l**2 + 3*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*k + 26, 0 = 5*k - 2*k - 12. Solve -c*g = -17*g - 3*t - 18, -t = 2*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 29. Let g be t(-13). Let n = g - -3. Solve -5*l = 3*s + 20 + 7, n = s + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5279 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: Calculate (-3)\/((-84)\/4)*-3*((-72)\/(-9))\/8.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 137936.\nAnswer: 68968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 895*o + 12328. Calculate w(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 51. Let v be q(0). What is the highest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284378?\nAnswer: 2, 142189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -0.3. Let j = -9.44 + 9. Let n = 0.06 - j. Which is the smallest value? (a) 4 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -32*i**3 - 595*i**2 - 336*i + 135. Give w(-18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 11431?\nAnswer: 11414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 24*s**2 + 21*s - 12. Calculate c(-23).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1168, 0.3, -84 in ascending order.\nAnswer: -1168, -84, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*j**3 - 4*j**2 + 3*j**2 + 135*j**3 + j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -1239, -2039, -2843?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 8, -2 in descending order.\nAnswer: 8, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2d5ac (base 14) to base 9\nAnswer: -182782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w*w**(-2\/17))\/(w**(-3)\/w**(-2))*(w**(2\/3)*w\/(w\/((w\/((w*w**(-1\/6)\/w)\/w))\/w)))**0 assuming w is positive.\nAnswer: w**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2497187069 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 624 = 736. Let i be u\/(-51) + (-37)\/(-9). Solve 0 - 10\/9*g**2 + 4\/9*g - i*g**3 - 8\/9*g**4 = 0 for g.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 14*q**2 + 56*q - 572. Determine m(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, 1539, 5, 22, -1.\nAnswer: -4, -1, 0, 2, 5, 22, 1539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1695 + -1693. Suppose 3*s - g - 14 = 3, 5*g = 5*s - 35. Determine i so that -14*i**s + 0*i - x*i**2 - 71\/2*i**4 + 0 - 16*i**3 = 0.\nAnswer: -2, -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = i + 2005, 5*i - 5 = 0. Let q = 1404 - x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 245?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*4\/(-12) + (-43)\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -21*p**3\/2 - 57*p**2\/2 - 12*p + 6 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.766 + 3515?\nAnswer: 3516.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**2 + 23*d + 13. What is w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 + 34588*d**2 - 65906896*d + 131675472 = 0. Calculate d.\nAnswer: 2, 2831, 5814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181965 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.285.\nAnswer: -0.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*1\/2)\/((-6)\/583764) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13064 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 358 = 616*l - 290. Let o(r) = -8*r**2 - 2*r + 3. Let g be o(2). Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2781 * -6.5.\nAnswer: -18076.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -43*w**2 + 5*w + 5. Let x(r) = -r - 1. Let y(l) = -3*a(l) - 15*x(l). Let p(o) = 84 - 75967*o + 81 + 75969*o - 165. Determine p(y(d)).\nAnswer: 258*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 3619. Let s(o) = -3*o**2. Determine h(s(r)).\nAnswer: 6*r**2 - 3619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*f - 2, 3*m - f = 5*m - 13. Suppose 0 = -m*u + 3*u + 16. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2789102490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (7\/3 - 1). Let j be 21\/4 + (-3)\/12. Suppose -j*y + 4 + 6 = 0. Which is the biggest value? (a) g (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133504308 divided by -2578\nAnswer: -51786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + c31b9?\nAnswer: c31bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**3 + 25*w**2 + 286*w + 2218. What is g(-7)?\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.132 + -0.468. Sort -0.4, -14\/9, i.\nAnswer: -14\/9, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-12)\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5121358493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16358.\nAnswer: 2, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 e when three letters picked without replacement from edvid.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, p: 2}. Give prob of sequence pgg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -2\/21 (c) -6.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58a4 (base 14) in base 9?\nAnswer: -23146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -277699?\nAnswer: 3054689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54.1 + -13.9. Let w = -42 + a. What is w rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88734 and 15.\nAnswer: 443670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 26172719?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51136 + -15116?\nAnswer: 33020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.2 + 2. Let y = -603836\/7 + 86096. Let t = -166 - y. Which is the closest to -1? (a) l (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (2 - (34 + -17)) - (53 + -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*a + m, -a + 24 = a + 5*m. Let q(b) = b**3 - b**2 - b - 2. Let t be q(a). Suppose t = -x - 3*x + 12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2962, 324, 4 in ascending order.\nAnswer: -2962, 4, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 2*l + 2*l - 3 + 3 + 2*l + (-2 - 3 + 3)*(-2 + 2*l + 2) - l + 3 - 3 + (649*l - 412*l + 356*l)*(0 - 3 + 0).\nAnswer: -1781*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/22 (b) -119 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 3. Let h be r(-3). Sort -2, -1, h in increasing order.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, p: 1, w: 1, e: 1, h: 1}. What is prob of sequence whz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-4) + 578960\/320.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 26 + 1348*v**2 + 9 - v + 1207*v**2 + 888*v**2 to y + m*v**2 + d*v and give m.\nAnswer: 3443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:07 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 49 + 6*y**2 + 46)*(0 - 4 + 15) as x*y + p*y**2 + b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 10. Let u(c) = -c. Give -m(o) - 6*u(o).\nAnswer: 3*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.46 to zero decimal places.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 62*l - 1. Suppose o + 0 = 2. What is the hundreds digit of z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*r**2*y**2 + 53*r**2 - 40030*r*y**3 + 1326 wrt y?\nAnswer: -6*r**2*y - 120090*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 122?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002542 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/1440 - 11*r**5\/10 - 263*r**4\/24 - 394*r**3\/9 + 2563*r**2 + r. Factor o(z).\nAnswer: -(z + 2)**2*(z + 788)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(84)*2 - sqrt(84))\/sqrt(12).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 480345 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20761 is divided by 129.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99745?\nAnswer: 5, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 181.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 159563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.246923 millennia?\nAnswer: 3246.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*k + 43. Let a be k\/4 - 2\/4. Put 0, a, 5 in increasing order.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7))\/n*n**(2\/45) assuming n is positive.\nAnswer: n**(-313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -25*r - 440. Determine s(0).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 - 2*d + 23. Let a(s) = s**2 + s - 8. Let n = 11 + -17. Let u(p) = n*t(p) - 17*a(p). Does 17 divide u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930881*f + 930881*f - f**2 - 1 - 3.\nAnswer: -f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2548\/294 + 13\/(39\/(-18))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 837*a**2*l + 52*a**2 wrt l.\nAnswer: 837*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2*c)\/c)**(-5\/8))**35 assuming c is positive.\nAnswer: c**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*a - 0*q - 290, -4*a + 5*q = -232. Let w = a + -58. Solve w*u = u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34601 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948.794 milligrams in kilograms?\nAnswer: 0.002948794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1045, -4334, -9847, -17584, -27545, -39730?\n\"Answer: -1112*q**2 + 47*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -1.6. Let b = -8\/25 - -23\/150. What is the closest to t in b, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 710520 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 18, 14 in ascending order.\nAnswer: -3, 1, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1201711563 by -291.\nAnswer: 4129593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**5\/15 + 27*b**4\/2 + 764*b**3 + 12719*b**2\/3 + 6241*b + 11090. Solve m(l) = 0.\nAnswer: -79, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:54 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*d + 2*d + 10, 4*d - 12 = -4*g. Suppose 0*v = -4*t - g*v + 8, -v = -4. Let w = -4 + t. Which is the second biggest value? (a) -2 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-2\/9)*j)\/j**(3\/2))\/((j\/(j**(-2\/11)*j))\/j**(-2\/15)) assuming j is positive.\nAnswer: j**(953\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -107, -170?\n\"Answer: -63*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 - 9*y + 12. Give p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3467*u**5 - 2*u**3 + 2*u - 1924 wrt u?\nAnswer: -69340*u**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 2, x: 2, d: 1}. What is prob of picking 1 w and 1 x?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 - 6*j**2 - 17*j - 26. Let z(o) = 2*o**3 + 2*o**2 + 6*o + 9. Let k = 141 - 135. What is k*f(n) + 17*z(n)?\nAnswer: -2*n**3 - 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4750838 is divided by 3732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.4509ug to tonnes.\nAnswer: 0.0000000006224509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 9*x + 4. Let k be h(8). Let y(i) = -2*i + 3*i**2 - 5*i**2 + 5 + i**2. Calculate y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*u - 234, -7*u + 184 = -4*o - 3*u. Let x = 125 + o. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Let b(w) be the third derivative of -2*w**3 - 1\/24*w**4 - 24*w**2 + 0 + 0*w. Determine b(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8344 + 1.528. What is k rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(336) - sqrt(336) - sqrt(336))\/sqrt(6))\/(((sqrt(128) - (sqrt(128)*-3 + sqrt(128)) - sqrt(128)) + sqrt(8))*4) + 5.\nAnswer: -7*sqrt(7)\/18 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.56598 - 0.00298. Let l = -2.5 + y. Round l to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4 - 68*f**3\/3 + 1675*f - 1250. Find the first derivative of q(o) wrt o.\nAnswer: 12*o**2 - 136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290705061*t**4 - 9121*t**2 - 3*t + 5885.\nAnswer: -6976921464*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46793 to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5879 - 5877. Let v(q) = q + 8. Let d be v(-4). Which is the third smallest value? (a) d (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (6 - 24) - (-24 + 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 23*g**2 + 23*g + 2. Let r be t(22). Let k = 4 - r. Does 13 divide k\/(-70) - 383\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-3 - (4 + -8). Let i be (j - (-3)\/(-6)) + -1. Let s be (-1 - -2)\/((-7)\/7). Which is the nearest to i? (a) s (b) 2\/9 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007961948 to the power of 1\/3, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 132*z = 127*z - 254*z + 91, -2*z - 43 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snys when four letters picked without replacement from {y: 7, j: 2, n: 1, s: 6, m: 4}?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1771323161?\nAnswer: 29, 61080109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3511 = -4*g, 3*s + 859 = g - 2*s. Suppose 92 = -2*i + 2*j + g, 4*i = -5*j + 1564. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 20029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = g + 9*m - 6*m, 3*g - 7 = 4*m. Suppose 4*k = -0*c + 4*c + 4, 3 = 4*k - g*c. Solve k = j - 0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w + 4 = m, 5*w + 1 = -2*m. List the prime factors of -2*w\/(-12) + 5045\/30.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5460\/35473 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 - 1.5. What is the closest to f in -2\/7, 0.2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -2\/9, 409975, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 14*t**2 + 13*t + 31. Let m be b(15). Let y be 3 - ((-52)\/(-18))\/m. Is 0 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1983*y**3 - 17*y**2 - 7*y + 14?\nAnswer: 11898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + -6 + 17) - -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3 and 113\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i + 106. Let k be w(-7). Differentiate k - 122*n + 68*n - 19*n wrt n.\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 122*v**2 + 39*v**2 - 6*v + 4*v + 3*v. Let f be y(-1). Calculate the greatest common factor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 33*f**2 - 162*f + 120 = 0.\nAnswer: 10\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 5*o + 8. Let v be h(6). Let p(x) = -x**2 - 7*x - 7. Let s be p(-5). Let r(a) = 6*a**2 - 2*a**2 - s*a**2. Give r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*z**2 + 900*z - 108.\nAnswer: -3*(z - 6)*(49*z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -23. Suppose 138 = -0*t + w*t. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 523825.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126750431 - 126750382.9999898. Let d = -48 + j. Round d to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*t + 2*d, 0*d = t + d - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - -10. Suppose 3*j + 2 - 35 = 0. What is the highest common factor of j and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 137, 135, 133?\n\"Answer: -2*a + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/20 and 63\/94.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 235*z - 4686. Give i(-18).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7913999 to the nearest integer?\nAnswer: 2813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3 + 7*f - f**2 - 5*f + 7*f. Let q be a(8). What is the second derivative of -85 + 4*c**2 + 85 - 6*c**2 + q*c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1301bb?\nAnswer: -1301b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - 6*h**4 + 0*h**4)*(104*h + 28*h + 40*h + (1 - h - 1)*(3 - 4 - 1) + 2*h - 7*h + 4*h).\nAnswer: -865*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2, -19.4?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -28. Let o = 1.9 - 2. Which is the third biggest value? (a) z (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*q**2 - 4*q**3 - 165*q**2 + 3)*(0 + 0 + 2)*(-3*q**2 - q**2 + q**2).\nAnswer: 24*q**5 - 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58370839 is divided by 334?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 10) to base 16.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.289 and -1.2?\nAnswer: 4.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = -5*f + u + 558, 4*u = -f + 258. Suppose 4*r + f = 718. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12165709607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 + 36. Let u be r(0). Suppose -3*t + 36 = c, -4*c + u = t + 2*t. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-35) - 6\/(-21). Let c = -4 - -4. What is the nearest to 1 in a, c, -3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51247 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43523 and 1.\nAnswer: -43523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**4*u**3 + 32*g**3*u**3 + 2414*u**3 with respect to g.\nAnswer: 12*g**3*u**3 + 96*g**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1448467*k**3 - 339385*k**3 + 255298*k**3.\nAnswer: 1364380*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 540131 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 3}. Give prob of picking 2 t and 1 c.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r - 2*r - 1)*(2 - 6 + 0)*(-224 + 296 - 245).\nAnswer: -1384*r - 692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 11. Let d be p(-7). Suppose -o + 0*z - z = -16, -d*z = -3*o + 20. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {m: 1, e: 1, o: 2, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-3\/2))**(-2\/15) assuming u is positive.\nAnswer: u**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82.1 + -82. Which is the nearest to u? (a) 1\/2 (b) 0.04 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 b when four letters picked without replacement from {d: 4, w: 7, m: 4, b: 3}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) 5 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - 2*w**3 + 4*w**3 + (w**2 + w - w)*(-w + 0 + 0) + (-378 + w**2 - 16*w + 378)*(-19*w + 3*w - 14*w).\nAnswer: -32*w**3 + 480*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*f**2 - 4\/11 + 6\/11*f.\nAnswer: -2*(f - 2)*(f - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -288*c**2 - 52*c**2 - 86*c**3 - 278*c**3 wrt c.\nAnswer: -2184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(294)*-1 - sqrt(294)))\/((sqrt(2) + sqrt(1250))*3) + 2.\nAnswer: 14*sqrt(3)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14562563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6800 * 634\nAnswer: -4311200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/2*66\/99?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -2*a - 2*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (-640)\/(-112)*7\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1472, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270002 and 254.\nAnswer: 270002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.95898 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -13*w**3\/2 - 63*w**2\/2 + 15*w - 8. Is j(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m**2 + 4*m + 18*m**2 - 5 - 30*m**2. Let k be -3*(-4)\/24*-8. Determine b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*x**3 + x**3 - 4*x**3)*(3 + 2 - 7) + (-4 + x + 4)*(0 + 0 - 2*x**2) as b*x + p*x**2 + t*x**3 + q and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 145\/(-2465) - (-50)\/(-17). Let f = -5 - -19\/4. Which is the closest to f? (a) -1\/6 (b) 2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + c + 3432 = 0, -33*c = 2*s - 29*c - 1364. What is the remainder when s is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o + 47*o = 109*o + 109980. What is o rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8509692 divided by 4?\nAnswer: -2127423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534\/(-35155)*(-8)\/16*(-170)\/(-51).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f + 4. Let j(p) = -10 - 6 - 10 + 5*p + 24. Determine 11*j(m) + 6*r(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9913 + 9908.5357. Let d = -4.05428 - f. Let w = d + -0.41. What is w rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y = -514 - 234. Calculate the highest common divisor of y and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*((-10)\/(-30)*-9)\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 1\/30*y**5 + 2*y**2 - 1\/60*y**6 + 0 + 0*y**3 + 0*y + 0*y**4. Factor b(w).\nAnswer: -2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 307, 351, 395?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 3305?\nAnswer: 33050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -27*y**3 + 3*y**2 + 5*y + 5. Let u(q) = -40*q**3 + 5*q**2 + 8*q + 8. Let c(i) = -5*u(i) + 8*z(i). Let l(b) = b + 6. Let h be l(-5). What is c(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, -0.1, -2587, 59 in ascending order.\nAnswer: -2587, -4, -0.1, 15, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*((sqrt(304) - 5*(sqrt(304) - -2*sqrt(304) - sqrt(304))) + sqrt(304) + sqrt(304) + 3 - (-5 + 0 + sqrt(2299) + 2)))**2.\nAnswer: -4212*sqrt(19) + 260419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -21*t**2 - 9*t + 22. Let i be m(-2). Suppose -6*a + 69 = -i. Solve n = 4*y - 19, 4*y + 2*n - a = -2*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1453, 4, 2, 158 in descending order.\nAnswer: 1453, 158, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + x**2 - 3. Let v be y(3). Suppose 13 = -5*d + v. Solve d*z + 10 + 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**6\/60 - z**5\/15 - z**4\/12 + 2*z**3\/3 + 6*z**2. Solve j(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25102, 50234, 75356, 100462, 125546, 150602, 175624, 200606?\nAnswer: 225542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1. Let x(k) = -k + 3. Let a(q) = 2*s(q) + x(q). What is the units digit of a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-10)*((-9)\/(-5))\/(30\/100)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f**3 - 7*f**2 - f + 4. Let o(l) = 20*l**3 - 8*l**2 - 2*l + 6. Calculate 3*k(r) - 2*o(r).\nAnswer: 23*r**3 - 5*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knyx when four letters picked without replacement from ynckmxyn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -0.8, -6\/5, 14?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177734423 by -2.\nAnswer: -177734423\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75689474 is divided by 2138.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) -1 (c) 1\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 8. Let j be r(3). Suppose -k = -j*x + 13, 2*k + 2*x - 2 - 8 = 0. Suppose -b + 2*w - k = 1, -4*w = 4*b - 24. Solve -b*c - 16 = -1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2717*q + q**2 + 1361*q + 1356*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from wuuhhhhuhhhuuhhhu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*c + 2*j = 355*c + 53070000, 0 = 5*c - 3*j - 53070000. What is c rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -470 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:21 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n = 4*n + 306. Solve -4 = 2*k - n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*m - 68*m**4 - 38703*m**3 + 7*m + 2 + 38702*m**3 - 15*m**4 to p*m**4 + l*m**2 + i + u*m + d*m**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6375283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 62. Let s be i(0). Is (0 + 2)*s\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63345 - 24400. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111000 - -100010111111111110?\nAnswer: 100010101110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.12 - 0.22. Let x = -4.9 + u. Suppose l + 9 = -3*n, -n + 0 = 3*l + 3. Put n, -5, x in descending order.\nAnswer: n, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, -1, 7 in decreasing order.\nAnswer: 28, 7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -2. Let z be (14 + (-9)\/(-3))*4. Calculate the highest common factor of o and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 2*j - 3. Let r be w(-2). Let k = -1521 - -1506. Put 1, r, k in increasing order.\nAnswer: k, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:37 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 461775929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -2\/5, 0, 2\/55?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7181 = -19*v - 2773. Let o = v + -249. Let h be (2 - -17)*-1 + 2. Is o != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**8\/6720 + y**6\/240 + y**4\/8 + 2*y**2. Let h(n) be the second derivative of v(n). Find the second derivative of h(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjnynjyjy. What is prob of picking 1 j and 2 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + 346*j**2 - 5636*j + 126. Give p(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/3 - 220*c**2\/3 - 11648*c\/3 + 50176\/3 = 0. Calculate c.\nAnswer: -112, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22560, -45135, -67742, -90399, -113124, -135935?\nAnswer: -158850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26399*l - 26406*l = -56. Solve 3*p = 3*x + 12, 2*x + 9*p - l*p = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331610 (base 9) in base 2?\nAnswer: -100110011110110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/4 - 9*q**2\/2 - 47*q\/4 - 15\/2 = 0. Calculate q.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(1 - -1 - 2). Suppose -28 = -3*m + 2*v, p = -4*m + 2*v + 38. Let o be (16\/(-24))\/((-2)\/270). Calculate the greatest common divisor of m and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**3\/3 - 5*f**2 - 8*f + 28. Let d be h(-4). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 13*n + a + 47, -6 = 3*a. What is the highest common factor of 2535 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqdvvdqdvnvvnvqviqq. What is prob of sequence vnv?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.131 * 9920.\nAnswer: -1299.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9794628.8 rounded to the nearest 1000?\nAnswer: 9795000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from cqmnnfhmmcfnnnn?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:51 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 4484 = 1744. Let m = 1827 - d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12494193 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/5 - 586*l**4\/5 + 103544*l**3\/5 - 5758514*l**2\/5 - 20709*l + 1151820 = 0. Calculate l.\nAnswer: -1, 1, 135, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -220*b**2 - 124*b + 2. Let m(n) = -n**2. Determine r(m(x)).\nAnswer: -220*x**4 + 124*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + 3 + (1 - -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5412377.\nAnswer: 5412377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:09 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -293\/1635 + 5\/109. Which is the biggest value? (a) u (b) 0.12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 753855841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 4\/9, -0.2, -1.52, -1\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 23, 14, 5, -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088874517.\nAnswer: 131, 653, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, f: 6}. What is prob of picking 2 v?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2013 and 397321914?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let q = 83 - 54. Let v = -26 + q. What is the closest to -0.6 in -5, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -24. Suppose 2036 = j*f + 181. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 0*f = 4960. What is f rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 2, o: 2, y: 1, m: 4, f: 1}. Give prob of picking 1 f, 1 m, and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -54 + (1 + -1 - (2 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21774*v - 21777*v + 2*k + 7 = 0, -13 = -7*v + 3*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35774\/5 + 7155. What is the second biggest value in 36, -0.18, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + -3. Let y = d - 41.5. Let r = y + 4.4968. Round r to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -3*w - 9, 22 = -4*w + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3. Let k(v) = -2*v**3 + 4*v**2 - 2*v - 4. Let x(y) = -3*f(y) - k(y). Let c = -2 + -3. What is the tens digit of x(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i**2 - 2*i**2 - 10*i**2. Suppose -5*v + 0*v - 3*y + 14 = 0, -5*y + 6 = 4*v. Let d(a) = -2*a**2 + 3*a**2 - v*a**2. Give d(c(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.5837124t?\nAnswer: 583712400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597854 = -150*i + 112*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3387*z**4 - 360*z**2 + 76879*z - 9.\nAnswer: -40644*z**2 - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2 - 4)*(0 + 0 + 2)*(-20*t + 122 - 120 - 12*t).\nAnswer: 1024*t - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 3\/4 (b) -0.074 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 306949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 1. Let d(g) = -3*g + 5. Suppose -5*l = -12*l + 7. Give l*d(p) + 2*i(p).\nAnswer: -p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 - 135 = -2*a - t, -4*t - 4 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990685.\nAnswer: 3, 5, 199379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -38. Suppose -248 = 4*y - 12*y. What is the remainder when y is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.7 (b) 4 (c) 15 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.2, 0.08, -6, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5646911 and 0.29?\nAnswer: 5646911.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 26 = 3*k, -16 = 2*k - 2*h - 2*h. Let g = 4 - k. Suppose g*u - q + 9 = 3*u, 3*q = -u + 15. Is u less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5 = 5*c. Let r(q) = -q**3 + 6*q**2 - 7*q + 5. Let a be r(4). List the prime factors of (c + 4)*a\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -59, -183, -431, -845, -1467, -2339?\n\"Answer: -7*l**3 + l**2 + 4*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 130\/(-25) + 24\/20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(6\/19)*x**(2\/19))\/(x**(-6))**(-2\/39) assuming x is positive.\nAnswer: x**(119\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 1:45 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4305849.721 - -75056?\nAnswer: 4380905.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6299630754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -705 + 800. Suppose -s*h + 92*h + 3*z + 3099 = 0, -3*z - 4133 = -4*h. List the prime factors of h.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 239 (b) -21 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1506 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4 = 16. Let m be (2\/j + -1)*-10. Let t = 133\/3 - 44. What is the second smallest value in m, 3\/7, t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from {z: 5, x: 3, y: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + 2\/(-6). Let w be 5\/(80\/52) - 1\/4. Suppose -w*g - 584 = -7*g + l, q = -4*l. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 8898464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1926061 in decreasing order.\nAnswer: 2, -3, -1926061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(567))\/(sqrt(9) - (sqrt(90) - (sqrt(90) - (sqrt(90)*-3 + sqrt(90) - sqrt(90) - sqrt(90))))\/sqrt(10)).\nAnswer: -9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86.0973 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97541 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**3\/3 - o**2 - 2*o. Let g be c(-3). Suppose g*b - 43 + 19 = -4*j, -4*j = -5*b - 6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.1 + -1.1. Suppose 5*t - 14 = 3*t - 2*k, -5*t - 3*k = -29. Which is the third biggest value? (a) m (b) 1\/10 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: fa28 (base 16) to base 13\nAnswer: 231c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 38) + (-11 - 2) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -59, -59, -37, 13?\n\"Answer: q**3 + 2*q**2 - 29*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(3\/(-9)). Find the third derivative of 0*o**2 + c*o**3 - 6*o**3 + o**2 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454, 801, 1168, 1567, 2010, 2509, 3076?\nAnswer: 3723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 183996*f + 6 - 2 + 15 - 183968*f in the form s*f + m and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 5 - (-24)\/(0 + 1). Let t be w\/6 + (-30)\/45. Sort 17, t, 1, 3 in decreasing order.\nAnswer: 17, t, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 197777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 + 27.54. Let f = a + -25. What is the nearest to 0 in -0.1, -3, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 at most 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -37*v**2 - 151*v + 22. Let g(u) = 19*u**2 + 76*u - 11. Let d(n) = 7*g(n) + 3*i(n). Is d(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 33110121220?\nAnswer: 33110121223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0 + 0*n**2 + 0*n**3 + 0*n**7 - 5*n + 0*n**5 + 7\/12*n**4 - 9\/56*n**8 + 0*n**6. What is the third derivative of b(m) wrt m?\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*n + 33*n**3 + 312*n - 10*n**3 - 14*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26439043*v + 39051767 wrt v?\nAnswer: 26439043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1415076 (base 8) in base 16?\nAnswer: -61a3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 8. Suppose n - 122 = -5*x, 5*n + 111 = 3*x + 21. Let s be 120\/x - 2\/(-10). Solve s*d = -4*h + 3, 4*d + j = 4*h + 26 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-1)\/((-1)\/(-3)). Let g be 75\/6 + 1\/q. Let s = -6 + g. Calculate the remainder when 18 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b**2 + 16*b - 11. Let n(q) = 4*q**2 - 3*q + 2. Let p = 236 + -238. What is p*u(k) - 11*n(k)?\nAnswer: -4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 370648448 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000544161 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from doggoogggdodooogo.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1981 - 1528 - o**3 - 470.\nAnswer: -o**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -35. Suppose 5*l + 0*l = u - 5, -l - 3*u = 17. What is the units digit of 1\/(2\/(z + l))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010 - 1?\nAnswer: -100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 2 + (3 + sqrt(475) + sqrt(475) + 2)**2 + -1).\nAnswer: -5763 - 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1738529266*q**3 - 1738529266*q**3 + 3477058529*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 4. Let j be x(9). Suppose -7 = -4*v + 3*q + 2, 0 = -2*v - j*q + 37. Solve 2*u - 4 = v*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -20*j + 2. Let m(c) be the first derivative of -c**5\/30 + c**3\/3 + c**2 + 211. Let r(w) be the third derivative of m(w). What is i(r(h))?\nAnswer: 80*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3603467 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*s**2 + 169*s**4 - 169*s**4 - 7*s**5 wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1543*q - 15327. Calculate w(10).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 6*t - 15. Suppose 0 = 2*c - 0*c + 3*a - 2, -a = -3*c + 36. Calculate g(c).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of (-5019014)\/(-231) + (-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1236030 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -48*f - 137 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 43 = 6*l + 2*s, 3 + 15 = -24*l + 25*l - 2*s for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-612)*-45*(-1)\/(-4)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17144354 and 802.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/15)\/(i\/(i\/(i*i\/i**6)))*(i*i**(-2\/3))**33*(i**(-2\/7)\/(i\/i**0))\/((i**(2\/27)\/i)\/(i\/(i\/(i\/(i**(-4)*i)*i)*i*i))) assuming i is positive.\nAnswer: i**(16796\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/30*-14*21\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - b**3 - b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 326.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 52, 2\/7, 119.\nAnswer: -5, 2\/7, 52, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*c + w = -112, w - 78 = -2*c. Suppose 223 = 39*x - c*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*k - 20, 3*w - 20 = 5*k + 7. Suppose 4*y = -3*o + 55, 0*o - 70 = -w*y + 2*o. Suppose -y*j - 12 = -20*j. Do 3\/2 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 1 l when three letters picked without replacement from {q: 2, t: 3, k: 6, l: 6, h: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5828357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2865139976.\nAnswer: 2, 89, 4024073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-w + w - 4*w + (-9*w + 4*w - 3*w)*(-3 + 1 + 0) - 8*w + 1 - 1).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hunnw. Give prob of picking 1 w and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (29\/(-116))\/((-2)\/40). Let v(p) = p**3 + 5*p**2 + 4. Let d be v(-5). Sort -3, t, d in decreasing order.\nAnswer: t, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26426839?\nAnswer: 23, 71, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8710662 + -1300759\nAnswer: 7409903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 535 + 157*w + 535.\nAnswer: 160*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 + -2.6. What is the nearest to 1 in 3\/5, 0.1, j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*f**2 + 39*f - 39*f)*(-1 + 1 + f**2).\nAnswer: 4*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2541 divided by 518.\nAnswer: -363\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145530 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 7*h - 6*h - 10, -4*h = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -232557375+-516.1\nAnswer: -232557891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-9) - (-124)\/9. Let t be ((-4)\/(16\/15))\/(96\/(-1792)). Calculate the greatest common divisor of y and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*f + 6 = 4*a, -4*f = 4*a - 24. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 47. Let h = m - -30.42. Round h to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g. Suppose -5*n + 1 = 6, -u + 18 = -5*n. Let i(s) = 200 + u*s - 200. Give i(z(d)).\nAnswer: -208*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 1\/11 (b) -7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 5. Let o(f) = -2*f - 6. What is -5*j(p) + 4*o(p)?\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 1387185*o + 2774382.\nAnswer: -3*(o - 462397)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-60)\/(-100))*2.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.013659 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -801830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = 0. Let w(d) = d + 3. Let r be w(k). Let s(n) = 14*n**3 - 8*n**2 + 8*n. Let m(i) = 3*i**2 + 3 - 3 - 3*i - 5*i**3. What is r*s(a) + 8*m(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021 = -3*r - 2*r + 4*i, -3*r + 614 = -i. Let b = r - 100. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 291*u + 3899. Let f be i(-13). Solve 4*b - 140 = -f for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 23*h**4\/24 + h**3\/6 - h**2. Let p be f(1). Suppose q - p - 10 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*c - 55, -3*w - w = 2*c - 22. Let r(x) = -x**3 + 12*x**2 - 6*x - 8. Let s be r(c). What is the highest common divisor of 188 and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g**3 - 8*g**2 - 7*g - 16. Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/37, 1\/3, 3, 2, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 50442 (base 8) to base 9\nAnswer: 31437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4636 and 37?\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 22 = -2*c + 3*x, -c + 2 = x. Let -c*o + 0*o**3 - 8*o**2 + 4*o**3 + o + 6 + 2*o**4 = 0. Calculate o.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 4) + 1)*4. Let h be (1 - 0)\/(17\/(-17)). Let o be 3 + h + p\/(-2). What is the highest common divisor of 24 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3191\/5335 - 2\/1067. Let c = 201\/413 - -5\/59. What is the fourth biggest value in -7, 1, c, y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ikiikiiikkkik?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 2*o**2 - o**2 + (1 + 1 - 4)*(2 - 2 - o**2) + 0*o + 0*o + 4*o**2 + 0*o**2 + 4*o**2 - 3*o**2 + 273 - 825 + 277 + 275 - 136*o**2.\nAnswer: -128*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/2 - 151*n**2\/8 + 703*n\/4 + 361\/8 = 0.\nAnswer: -1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 7*a - 5, a - 1231 = 2*q. Let s = -613 - q. Factor 0 - 1\/6*i**s - 1\/6*i + 1\/3*i**2.\nAnswer: -i*(i - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*i - 13, -1 = -4*i - 5. Suppose 0 = -3*q - 2*p - 36, 4*q - 5*p + s*p + 31 = 0. Which is smaller: q or -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 49. Let x be o(9). Let f(m) = m**2 - 3*m. Calculate f(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, 2, -8164 in ascending order.\nAnswer: -8164, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6019*q**3 + 422*q**2 + 6*q - 3. Let t(n) = -15*n**2 - 2*n + 1. Let f(v) = g(v) + 3*t(v). What is the third derivative of f(s) wrt s?\nAnswer: -36114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21015984 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2 = 0, 24*a = 2*j + 29*a + 13 + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 15*v**2 - 7*v + 6. What is k(2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 64 = -q. Let z be (40\/(-50))\/(-1*(-1)\/55). Let c = z + 52. What is the highest common factor of q and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 6*l + 4. Suppose -36 - 70 = -53*g. Give p(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11137 divided by -7.\nAnswer: -1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3256 is divided by 3243?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 9*r**2 + 20*r + 47. Let t be s(-11). Let h = -336\/5 + 2372\/35. What is the smallest value in -1\/3, t, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + 10111?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*r**3 - 11*r**3 - 13*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6) + -8 + (-5 - -24) + -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 13*d - 27. Let t be h(11). Let m(s) = -s - 10. Let x be m(-11). Put x, 2, t in descending order.\nAnswer: 2, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, 10, 1, 0, -5 in decreasing order.\nAnswer: 10, 2, 1, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 26. Let t(l) = 1 - 1 + s*l**3 + l**2 - l. What is the units digit of t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -23, -1\/9, 19, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90058*h + 9 + 9 + 2 - 20.\nAnswer: 90058*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/5 + 23*a**4\/5 + 81*a**3\/5 + 97*a**2\/5 + 38*a\/5 = 0.\nAnswer: -19, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -439 - -222. What is the hundreds digit of (-1163)\/(-7) - (-31)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -350, -518, -846, -1388, -2198?\nAnswer: -3330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262 + -261. Let z = -0.11 - -4.11. What is the closest to -0.3 in -0.1, a, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.232\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 370235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 - 3*s**2)*(-71 + 67 - 366 - 921).\nAnswer: 2582*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - d**3 - 24*d**4 - 81*d**2 + 1 + 39*d**2 + 43*d**2 to the form g*d**3 + x + p*d**2 + c*d + u*d**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3951800969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3336163\/981 - (22\/(-18) + 1). Calculate the greatest common factor of 895 and h.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3812.95 + 3813. Which is the second smallest value? (a) -10 (b) 4\/5 (c) -0.5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42861055*z**4 + 30895420*z wrt z.\nAnswer: 514332660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 5*m - 4*m)*(4*m - m + 3*m) + (-6*m - 12*m + 19*m + 8*m**2)*(-2 + 6 - 3) to the form r + v*m**2 + j*m and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.5 - -35.5. Let s = b + -26. What is the biggest value in 0.5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 13. Calculate the remainder when p(-13) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 2. Let p be c(-6). List the prime factors of p\/20 - (-44)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6 times -0.2?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-11 - -18 - 11)) + 7 + 13\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r*s**2*x + 2*r*z**2 - 45025*s**2*x*z**2 - 4*s**2*x*z + s**2 + 10*s*x*z wrt z?\nAnswer: 4*r - 90050*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72655, -289805, -651723, -1158409, -1809863, -2606085?\n\"Answer: -72384*k**2 + 2*k - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-64)*-8)\/(4\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/u*u\/u**(-24))**(-1\/21) assuming u is positive.\nAnswer: u**(-214\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 794346.7 to the nearest 1000.\nAnswer: 794000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5703524 + -4?\nAnswer: 5703520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -77. What is the common denominator of (685\/(-60))\/1 + o and -69\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.81 + -8.91. Which is the closest to 0.2? (a) -5 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1 - (3 + -3). Let y be (o\/(-6))\/(5\/30). Let s(u) = 3*u**3 + 3*u**2 - u - 2. Determine s(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2790844610 - -9372518717. Let m = z - 6581674081.000000148. Let q = m - 26. What is q rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 985 + 276 + 6*t + 374 + 427 in the form l + g*t and give l.\nAnswer: 2062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035268 rounded to five decimal places?\nAnswer: 0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816.379ng in grams?\nAnswer: 0.000004816379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:16 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.3 + 26. Which is the biggest value? (a) 0.5 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 divided by -28?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6768039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825*x**2 + 882*x**2 + 947*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85574 - 42784 - 21030*k**2 - 42790 to the form p*k + q + v*k**2 and give v.\nAnswer: -21030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-125)\/75*-12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 55*f - 31*f + 162*f - 41*f to the form o + g*f and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**4 - 93*n**3 - 1293*n**2 + 24197*n - 5967 = 0.\nAnswer: -17, 1\/4, 13, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1\/5, 0.227, 1\/3, -2\/19, 8?\nAnswer: 0.227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/360*-8 - (-412)\/60. Calculate the highest common divisor of 21 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3870683 is divided by 184318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 7. Suppose -7*t + y = -2*t. Find the third derivative of -2*q - 3*q**2 + 2*q**t + 2*q + 3*q**5 wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-58 + 51 + -2 + 2 - -12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -14. Let h = -5 - -8. Sort 0.4, m, h.\nAnswer: 0.4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -768405 rounded to the nearest 1000?\nAnswer: -768000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = -5*i, 0 = -27*h + 25*h + 5*i - 22. Calculate the remainder when -3*4\/(-6)*7 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/(-27))\/(96\/144)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/6)*k)**(1\/15) assuming k is positive.\nAnswer: k**(1\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013864?\nAnswer: 2, 126733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07647 + 3.07647. What is the fourth biggest value in 1\/9, j, 9, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 3 = d - 8*z, z = -5*d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/232 and -17\/212.\nAnswer: 12296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:25 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 3*q - 4*q + (0 - 1 - 1)*(2*q + 3*q - 6*q) + 2*q - 3*q + 2*q + 11631*q - 78888 + 78891 + 8638*q in the form x + z*q and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + 3*d**2 - 2*d + 6. Is g(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010 divided by -3010?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2240 divided by -280\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and -27290.\nAnswer: -1391790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 - 7*j + 5. Let k be g(-7). Suppose -4*w = -k*h + 158, 83 = h + h + 5*w. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -304112 + -4?\nAnswer: -304120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 1, d: 2, l: 4, a: 6, k: 2}. What is prob of picking 1 i, 1 d, and 1 x?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491506543?\nAnswer: 17, 353, 248543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 22\/77*-3) + 6\/(-7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 - 2*g - 2. Let f(r) be the first derivative of -17*r**3 + 21*r**2\/2 + 21*r - 6. Give -2*f(p) - 21*x(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 56 - 148 = -4*c, -2*w + 5*c = 105. Let i be w\/26 - (-17 - -16). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1136165 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 0*r - r)*(14 - 24 - 28).\nAnswer: 228*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/24 - v**3\/6 + 9*v**2. Let r be 63\/(-14)*(1 + 3). Let s = 17 + r. Let d(a) = -7*a - 4. Calculate s*d(q) + 5*p(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.75 + -0.9. What is v rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a + 51*a + 36*a + 14*a.\nAnswer: 80*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1239 + -595.1239. Let k = 595.287 + l. Round k to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 661*p - 460*p - 403*p as y*p + g and give y.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*x - 32 + 25 = 0, -2*h + 3*x - 11 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 18*k + 43 = -9*k, s + 3*k - 17 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10 + 844*n**3 - 10*n**2 - 10*n**2 - 3*n + 31*n**2. Let p be f(7). Round p to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 876\/7 + 2\/7*w**2 + 298\/7*w.\nAnswer: 2*(w + 3)*(w + 146)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20038 divided by 10019\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from haeaaaaaeaaaeaeaeea?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 12177, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 6. Let m = -4 - -6. Suppose 0 = f - 2 + 1, 4*p - m*f - 78 = 0. What is the smallest common multiple of p and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*z**2 + 260*z**2 - 125*z**2 + 1 + 0.\nAnswer: 388*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19*v - 14. Let p(a) = -18*a + 13. Let g(m) = 6*k(m) + 7*p(m). Is g(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-2)*16\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 - -1163. Suppose -24*b - j = -26*b. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 1334377.\nAnswer: 2668754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17128, -17236, -17570, -18244, -19372, -21068, -23446, -26620?\nAnswer: -30704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10794 - -129457\/12. Find the common denominator of g and -4 + (-676)\/120 - ((-320)\/25)\/16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + 1358\/42. Suppose -2*y - 2*y = 3*c - i, 5*y - 33 = -2*c. Let o(g) = -g**2 + 7*g - 2. Calculate the lowest common multiple of y and o(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = -5*y - 4, c + y = 4. Suppose -14 = -c*f + f. Suppose 0 = -i - i + f. Calculate the highest common divisor of i and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 198923712 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2 - 27248*v - 3412020 = 0.\nAnswer: -123, 6935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 7. Let o(r) = 5*r + 3. Let b(k) = -6*k - 3. Let c(m) = 4*b(m) + 5*o(m). What is 9*c(q) + 4*z(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*d**3 + 8\/3*d**2 + 128\/9 - 32\/3*d.\nAnswer: -2*(d - 4)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 212 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110101101011010 (base 2) to base 11.\nAnswer: 12081a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10206 divided by 2\nAnswer: -5103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 8*t**2 - 2. Let d be k(8). Let q be 1 + d - 18\/(-15). Let b = -10.5 - -11. What is the second biggest value in q, 0, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138436 and 848.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 2, k: 1, a: 9, b: 3}. What is prob of picking 2 a and 1 p?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 6 = -8*m + 7*m, -3*i + 17 = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 10. Let q(u) = 2*u + 7. Let g be q(-6). Let h be y(g). What is the highest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 a factor of 1805151621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/15 + 394\/30. Suppose -13 + 3 = 2*y, 0 = -g - 5*y - a. Let x = 12 - 5. What is the remainder when g is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 409382824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261 and 721602.\nAnswer: 20926458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) - 1*sqrt(2736)) + 4 + sqrt(2736) + -1)*-6)**2.\nAnswer: 2592*sqrt(19) + 98820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/6*1710\/(-20). Let r = -144 - h. Let v = -2 + 1.8. What is the nearest to v in -4, 4\/7, r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*x, 5*f + 5 - 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 79. Suppose 32 - y = 3*w. Solve -2*q - 6 = -w*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 33079866?\nAnswer: 33079866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39483\/9 - (-6 - -21)?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.1 - 1.3. Let j = t + 17.559. Round j to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 2:43 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -1931*h**7\/7 + 2*h**3\/3 + 862*h**2 - h - 4046. What is the third derivative of k(p) wrt p?\nAnswer: -231720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700104 to the power of 1\/2, to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20057546, -20057558, -20057570?\n\"Answer: -12*k - 20057534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - -30.09. Let j = g - -1. Let s = j - 30.9955. Round s to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 384 + 176. Let r = g + 403. Calculate the remainder when r is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlqgjgqmojjo. Give prob of picking 1 j and 1 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 0. Let l(k) = k**3 - 3*k**2 - 2*k - 6. Let v be l(h). Suppose 7*r = 2*r + v. What is the remainder when 53 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 261 = 301 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 3518804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(2*q + 8078 - 18256 - 16660).\nAnswer: 4*q**2 - 53676*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 62661 = 3*t, 6*g = 2*t + 5*g - 41764. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/16)\/(9\/18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-24)*28\/210)\/((-1)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 53, 139, 257, 407, 589?\n\"Answer: 16*z**2 + 6*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4792 + -14615\/3. Let s = q - -80. Determine r so that 1\/3*r**2 - 1\/3 - 1\/3*r**3 + s*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37578 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 21 = 0. Let g be (z - 2) + -2*(-6)\/(-4). Let n(q) = -q - 5. Let v(u) = 1. Suppose 9 = 5*y - 46. Give g*n(r) + y*v(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-20))\/((-2)\/8). Let p(w) = -w**2 + 11*w + 8. Let o be p(11). Let g be (4\/o)\/((-1)\/(-2)). Solve g = 2*z + q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/6 - 207*b\/2 - 6877\/3 = 0.\nAnswer: -598, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - z + 1. Let d(j) = j**3 - 5*j**2 - 4*j - 6. Determine 5*a(i) - d(i).\nAnswer: -i**3 - i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -108*l**2 + 531918*l. Let b(f) = -2*f. What is y(b(w))?\nAnswer: -432*w**2 - 1063836*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5717 and -12405.5054?\nAnswer: 12406.0771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 71 = -11. What is the remainder when 33 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/3 - 88*d + 265\/3 = 0?\nAnswer: -265, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*u - 198 = 0, -2*k - 38*u = -36*u - 90. Solve 0 = -k*f + 7*f + 205 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -762 (base 15) to base 9\nAnswer: -2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 4050?\nAnswer: 137700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(125) + -4)*-3)**2.\nAnswer: -360*sqrt(5) + 1269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 25, 3*w - 26 = -2*z + 2. Let k be (w*(0 - -1))\/((-1)\/(-15)). Find the second derivative of k - 90 - 6*b**2 - b + 5*b**2 wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s. Let z(r) be the second derivative of -r**4\/12 - r**3\/6 - 3*r**2\/2 + 38*r. Calculate z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffffffeffffr. What is prob of sequence effe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 824*t**2 + t + 107 wrt t?\nAnswer: 1648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 + 5*z + 6. Let v be c(-2). Suppose -2*a = 6 - v. Suppose 0 = 12*w - 4*w - 40. Calculate the smallest common multiple of a and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -57, -0.1, 3\/7, -22, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 35 = 45. Solve 6 - d = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2676\/30253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -175*g**2 + 21*g + 3. Let j(f) = 29*f**2 - 3*f. Let m(q) = -6*j(q) - v(q). Let a(w) = w**3 + w**2 - w + 5. Let h be a(0). Determine m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184097 times -2.2\nAnswer: -405013.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9903.\nAnswer: 3, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 125921 = -52*u + 80583. What is the lowest common multiple of u and 16?\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030 (base 4) in base 5?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from memeeeeeee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.814 + -145.214. Which is smaller: l or -4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, 0.5, 1\/4, 18, 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -309, -444, -707, -1140?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjsjasasgajsassuaa. Give prob of sequence ju.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 62 + 38. Let d = o - -61. Suppose 0 = 2*g - 13 - 65. What is the smallest common multiple of d and g?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1 - sqrt(11) - sqrt(11)) + 4)**2*2.\nAnswer: -20*sqrt(11) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 1288?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 9, 0 = 5*i + 5*r - 8 - 47. Solve 0 = -2*g - 2*v + 8, -5*g - i = -4*g - 3*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - r + 2 = o - 7 + 4, 0 = o - 5*r - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 d, and 1 j when four letters picked without replacement from {c: 8, v: 2, j: 7, d: 3}.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 4*o**3\/3 - 30. Let l(w) = 2*w**2. Give l(k(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*g - 7, -5*q - 2*g = -6*g + 5. Suppose 0 = q*o - 323 + 80. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4529 and 362967.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*h + 60, -465*w - 4*h + 20 = -468*w. Which is the closest to 0.39? (a) -14 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + ((sqrt(245) + sqrt(245) + sqrt(245)*2)*1 - -4*(-1 + sqrt(245))))**2.\nAnswer: -784*sqrt(5) + 15725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 29*m + 28 = 34*m, 339*b - 5*m - 1027 = 289 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*j + 13, f - 4*f - j = -13. Let d be f\/(18\/4)*-132. Let w = 90 + d. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 54, 80, 106?\n\"Answer: 26*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101181294247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80814845.\nAnswer: 5, 37, 43, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:40 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g**2 + 7*g - 23. What are the prime factors of b(7)?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -1\/2*b**4 - 5\/2*b + 9\/2*b**2 + 0 - 3\/2*b**3 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 3. Let r be w(-4). Suppose 5*j - v = -3*v + 416, r*j - 3*v - 401 = 0. What is j rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -31. Find the common denominator of (150\/(-9))\/(u\/5) and 2 + (1 + 1)\/40.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10999*s**2 + 29200*s**2 + 2312*s**4 - 10453*s**2 wrt s.\nAnswer: 55488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) + 440\/70. Is l <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x = 43*x. Suppose 7 = -2*c + 5, 4*n + 4*c - 16 = x. Calculate the least common multiple of n and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*(-7 + 7 - 5*o) - o + 0 + 2 + 1 - 3*o - 2*o + 2*o in the form m + c*o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1012954 - 506480 + 279*h**2 - 506474.\nAnswer: 279*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 8 - -4) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4572 and -83\/120.\nAnswer: 45720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/5 + 1172*i**4\/5 + 448129*i**3\/5 + 60072822*i**2\/5 + 423374364*i - 4477638744\/5 = 0. What is i?\nAnswer: -471, -174, -58, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -85. Let g(z) = 0 - 1 + 0*z + 2*z**2 - 4*z. Is g(d) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 - -125. Solve -5*q + 4*q - 1 = t*l, 4*l = -4*q - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 6500 - (7 - 0). Let s be 3\/(-9) + b\/45. Is 144 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17022969?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 287970 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 647, 1226, 2167, 3452, 5063, 6982, 9191, 11672?\n\"Answer: -3*h**3 + 199*h**2 + 3*h + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let c be 12\/1 - (-5 - -11). Suppose -6 = -2*l - 2*y, -y - 1 = -4*l + c. Sort -5, -4, k, l in increasing order.\nAnswer: -5, -4, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (396\/(-84) + 5)*84. Solve -164 - r = -47*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.87 + 9. Let c = g - -3.97. Round c to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2154 = -6810. Suppose 43*v - 49*v + c = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*r - 3171 = 4*r, 0 = -2*r. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110708 at most 110709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 4602?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023604685 rounded to seven dps?\nAnswer: 0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*g - 9 = 0, 18*h + 5*g = 17*h + 23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21363 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10664042?\nAnswer: 2, 23, 231827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:15 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(3 + -4)*0. Suppose -2*z = -k - 4. Suppose -2 = x - 1, z*f - 5 = x. Calculate the greatest common factor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37247 = 113*v - 35439 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*m - 11, 0*b + 4*m = 5*b - 19. Suppose b*w - 5*y = -w + 57, 0 = -4*w - 2*y + 22. Solve 6*q + w = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqhzogh. What is prob of sequence hz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s - 185 = 31 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -5. Let c = 0 - f. Suppose 5 = c*p - 3, q - 6 = 2*p. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1973339 years to months.\nAnswer: 2.3680068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.2, 16, -1, -1\/14.\nAnswer: -1, -1\/3, -0.2, -1\/14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/224 - -387\/1120. Let x = -11648 + 1141617\/98. Calculate the common denominator of w and x.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*n - 365*n - 216 = -715*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/59)*x**(-3\/17)*(x*x**(4\/17))\/(x*x\/((x\/(x*x**21)*x)\/x)*x) assuming x is positive.\nAnswer: x**(-22976\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (4 + (-33)\/6)*4. Put 4, d, 11 in ascending order.\nAnswer: d, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:59 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k. Let i be z(1). Let a(q) = 7*q**2 + 2*q + 2. Let f(y) = 20*y**2 + 5*y + 5. Let j(u) = -17*a(u) + 6*f(u). Give j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepophq. Give prob of sequence eq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -379 - 776*h**2 + 263*h**2 + 253*h**2 + 259*h**2 in the form r*h + n + i*h**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.96 - 1.96. Let u = -1.3 + 1.3. What is the closest to z in -1.8, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - (7 + -5) - (-1 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5493219.\nAnswer: 3, 47, 38959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a9791 - 0?\nAnswer: a9791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124344 (base 5) to base 11.\nAnswer: 25241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -430, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 6*x**2 - 12*x + 31. Let g be o(-8). Let w(c) = -1 - 33*c**3 - 2*c + c**2 + c**3 - 3*c**2. What are the prime factors of w(g)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 2746216*l\/3 - 942712789832\/3.\nAnswer: -2*(l - 686554)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 2*w + 11. Let d(h) = 3*h**2 + 7*h + 39. Let k(x) = -7*b(x) + 2*d(x). Suppose -1 - 7 = -2*z. Let m(v) = 2*v**2 + 4. Calculate z*k(c) - m(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 5. Suppose 4*k = k - d. Let j be k*(-1)\/(-1) + 2. Solve 5*s + 8 + 7 = j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:27 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 14) in base 4?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(-4*t + 58 - 58) + (-3*t + 2*t + 2*t)*(1 - 5 - 6).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2567?\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbqqbqbbbbbbbbb. Give prob of picking 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 5, -1, -2\/5, 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13 + 5 = 0. Suppose w = 3*y - 7. Suppose 2*p - y*p - b + 72 = 0, 5*b + 120 = 5*p. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 34002.\nAnswer: -1\/17001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -1.1. Which is the closest to 1\/3? (a) m (b) -2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661560930 to the nearest integer?\nAnswer: 25721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/21 - 209656*r\/21 - 419320\/21 = 0.\nAnswer: -2, 104830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8735*r + 36153. Calculate a(4).\nAnswer: 1213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + -8. Let n = i + 25. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4470 divided by 1490?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a factor of 561225864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = 14*v + 272 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:12 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.706 - 2.729. Let o = -82 + 81.977. Let w = z - o. Which is the third smallest value? (a) -3 (b) 0.1 (c) w (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*g + 58 = x, 2*x - 3*g - 82 = 0. Suppose 75 = i - x. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300 (base 4) in base 7?\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -b + k, 0 = 4*b + 5*k - k - 432. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 144 = -4*w + 23, 5*w + 2*n = -155. Let s = 263221\/53 + -4965. Let b = 3274\/583 - s. Find the common denominator of w and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2200)*3*-4)\/(-4*6*(-2*sqrt(22))\/sqrt(2)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.8. Suppose -2*x = -27 - 59. Let k = -40 + x. Which is the nearest to -1? (a) k (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 806283935779.\nAnswer: 806283935778.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 3826, 12906, 30588, 59740, 103230?\nAnswer: 163926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 64. Suppose 3*r - 2*r - i = -q, -4*r + 13 = q. Solve -3*a + r = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**2 - 9*g + 17*g**2 + 15*g - 7 + 12*g**2. Let a be o(2). Let h = -73 + a. Solve -4*z + q = -6 - 19, h*z + 2*q = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*r - 50, -3 + 2 = v. Let a = 30 - r. Let p(h) = 4*h**3 + h**2 - h. Let q be p(1). Which is bigger: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 3*d**5\/4 - d**4\/12 - d**3\/6 + d**2\/2 + 3*d. List the prime factors of r(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20847\/390 + (-37)\/(-13) + -3. Let i = 434\/5 - n. What is the common denominator of i and -65\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:30 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-14) + 87\/21. Let u(b) = -7*b**2 - 4*b - 2 + 0*b - 3*b. Let z(m) = 6*m**2 + 6*m + 2. Determine d*u(h) + 5*z(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ac27a (base 13) in base 10?\nAnswer: -1054999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161200681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5166\/(-4059)*2\/(-28)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.059 + -2.059. Which is greater: v or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625096 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*c - 111 + 111)*(4 + 1 - 3)*(-1 - 1 + 1).\nAnswer: -52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283*g**2 - 3*g**4 + 4*g**4 - 2*g + 3*g**3 + 2 - 285*g**2 to u*g**3 + a*g**4 + l + x*g + i*g**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -138238 (base 9) in base 14?\nAnswer: -22c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/5 - 6408*t**3\/5 - 7714*t**2 + 160536*t\/5 - 23112 = 0. Calculate t.\nAnswer: -9, 1, 2, 3210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - (28\/3)\/(-2). Solve 28 = o*h + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -22. Calculate the remainder when 4 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252162101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 1, -0.5 in descending order.\nAnswer: 1, -0.5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*w - 23*w - 6. Let d be -5 - ((-21)\/(-63) + 320\/w). Calculate the highest common divisor of d and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1541380 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218875 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692487?\nAnswer: 3, 76943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5210390\/183 + -28472. Does d = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/6)*u))\/(u*u**(-1)\/u*u)*u**(3\/2)*(u\/u**(-2))\/u*(u*u**0*u)**(2\/25)\/(u\/(u\/(u\/u**(4\/5)*u))*u*u*u\/(u\/u**(4\/5))) assuming u is positive.\nAnswer: u**(-113\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 185b2 - 65?\nAnswer: 1854c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 + 4148*g**2\/3 - 4297325*g\/3 - 8611250\/3.\nAnswer: -(g - 2075)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44234657, 44234659, 44234661, 44234663?\nAnswer: 44234665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*i**4*n - 7011*i**4 - 114*i**2 + 2*i*n + 25*i - 5*n - 2 wrt i.\nAnswer: 216*i*n - 168264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98 + 1)\/(10\/1770*-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 + 24*c**3 - 3*c**3 + 1 wrt c?\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445.9562 tonnes in kilograms?\nAnswer: 445956.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3*3\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*r - 2 - 13, -r - 8 = -4*k. Suppose 5*m - 15 = 3*v, 5 + 4 = 3*m - 2*v. Sort -3, m, r in decreasing order.\nAnswer: m, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47270184 by -6.\nAnswer: -7878364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-342))\/((-21850)\/(-7866))?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107803301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/23*z**3 - 24\/23*z**2 - 96\/23*z - 128\/23.\nAnswer: -2*(z + 4)**3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-192)*2\/5*1620\/(-48).\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, 0.04 in ascending order.\nAnswer: 0.04, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680093674 and 716?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 522.9323 milligrams?\nAnswer: 0.0005229323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -36. Suppose 3*y - 97 = -5*i + p, 79 = 2*y + 3*i. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 401304 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 i when four letters picked without replacement from liiiiiiiiilii?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:31 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (928\/348)\/((3\/3)\/(-2))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10712 and 12154?\nAnswer: 632008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -156534 (base 8) in base 13?\nAnswer: -1ca41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 81*m + 121*m - 7 - 148*m - 9.\nAnswer: 54*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7097, -14587, -22529, -30929, -39793, -49127, -58937?\n\"Answer: -c**3 - 220*c**2 - 6823*c - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57134900*q**4 - 273157*q - 27?\nAnswer: -685618800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -798890 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:08 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 2*i = -330, -494 = -3*s + 4*i. Let m = s + -71. What is the highest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0295233kg?\nAnswer: 0.0000295233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11223690 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 28*q - 7. Let g be j(7). Let u be (-2)\/6 + (-598)\/6. Let z = u + g. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 608072485?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1000*b = -1001*b - 2, f + 13 = -4*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 22. Determine y(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 6. Suppose 6*w - 6 + 0 = 0. Let n be z(w). Solve 4*k + 0*k + 1 = -n*p, 0 = 5*k + p + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1731)\/(-16156))\/(8\/96)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433 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: 493442\/42908*(-36)\/(-115)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40853 - 531085\/13. What is the nearest to 0.09 in p, -6, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55815012?\nAnswer: 2, 3, 11, 17, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q + 5. Let z be (-3)\/39 + (-570)\/195. Let l(m) = -6*m - 3. Let x(o) = z*r(o) - 5*l(o). Let j(a) = -184*a. Determine x(j(p)).\nAnswer: 552*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3 + 5. Let g be (m - 2)\/(-5 - -4). Sort 0.3, g, 0.5 in increasing order.\nAnswer: g, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181332 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -8*k + 24*k + 720 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 364310 + -364309. Let n = 16.7 - -0.3. Which is the nearest to -5? (a) n (b) -3\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 15. Let q be x(-5). Solve 0 = -4*w - q*z + 45, -5*z - 4 + 44 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 273425\/11 - 24857. What is the fifth smallest value in 0.06, b, 1\/3, 32, 2\/5?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 226 - 220. Let f(l) = 6*l - 17. Let r(m) = -2*m + 6. Let o(d) = t*f(d) + 17*r(d). Let h(y) = -16*y**2. What is o(h(q))?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134921086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*g + 2120 = -134*g + 107 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**4*z + 567*v*z + 3*z - 637 wrt v?\nAnswer: 4*v**3*z + 567*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**3 + 3*g**2 + 4*g + 2. Let c(t) = t**2 + t. Let p(r) = -2*c(r) + q(r). Calculate the remainder when 37 is divided by p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036340655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5383250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 110 = -22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 2*q - 5*q)*(-15*q + 18 + 27 - 39) in the form m*q**2 + b*q + p and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/36 - 154\/(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1030, 2052, 3058, 4048, 5022, 5980, 6922?\n\"Answer: -8*g**2 + 1046*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.2 - -13. Which is the nearest to o? (a) -1\/4 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, 6, 26?\n\"Answer: 20*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 18*h - 10. Let w be c(-8). Solve -5*f - 25 = -3*m, 4*f = -w*m + 3*m - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2 + 248*k + 504 = 0.\nAnswer: -2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/20)\/(21\/35) + 5. Let s = 86 - -7. Calculate the greatest common divisor of s and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from eneeonoene.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8645955 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: Is 811809443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(0 + 15\/(-4) + 4). Suppose -3*x + 4 = -q - 5, -i*q = 4*x - 28. Calculate the lowest common multiple of (2\/(-4))\/((-3)\/24) and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7205790 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + 15 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -1. Let y = 9 + u. Let r = y - 3.6. Which is the nearest to 0.1? (a) r (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/720 - 11*m**4\/12 - 24*m**2. Let d(o) be the second derivative of g(o). Let w(l) = 2*l. Calculate w(d(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 21*d = 7800. What is d rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62966, 251858, 566674, 1007414?\nAnswer: 1574078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 56*s**2 + 2*s + 4801. Give k(53).\nAnswer: -3520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/23829 and -8\/20163?\nAnswer: 262119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 892873*s**3 - 363*s**2 + 697 wrt s.\nAnswer: 5357238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 651 + -378. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 57*p**2 + 35*p - 36. Let k be i(1). Calculate the greatest common divisor of k and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/3 - (-1 - 4\/(-2)). Suppose 4 = -y*p + 3*v, 2 - 5 = p - v. Let n be p\/10*(-2 - -2). Solve -2*x = -n*x + 5*m + 9, 3*x + 9 = -3*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110985583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 2) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 31*w - 6*w)*(3*w**2 - w**2 - w**2).\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**3 + 2*h + 1. Let p be c(-1). Find g, given that 475 + 301 + 811 + p*g**2 - 138*g = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -338 - -496. Suppose -5*k + 12 = -r. Calculate the greatest common factor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q + 4*q - 3*q. Let b(a) be the first derivative of a**3 - 79. What is b(t(v))?\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:23 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1786, -1767, -1736, -1687, -1614, -1511?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(200) - (sqrt(200)*2 - sqrt(200))) + 0 - sqrt(200))*-2)**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 35 + 20. Let j(c) = -5*c**3 - 8*c**2 - 3*c + 10. Let l be j(m). Let r = l + -165. Is r a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 138. Suppose 0*l + 8 = -w - l, -2*w - t = -l. Let d(c) = -2 + 8*c**2 + 5 + 4*c - 7*c**2. What is d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 33 - 13. Suppose 5*y - 12 = y. Suppose 0 = -4*g + p*k - 2 - 5, -3*g - y*k + 15 = 0. Solve 0 = m + g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 160778458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-640)*-4)\/((-3)\/(-116)) and -7\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcrdzrszrd. What is prob of sequence rd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - -0.35. Let u(h) = h**2 + 7*h - 77. Let r be u(6). Which is the closest to -1? (a) r (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*l + 39 = 0, 0 = 4*x - 14*l + 20*l - 42. Suppose 12 = -n + 17. Solve 2*r + x = n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20540 and 5880602?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*1\/3*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 11*r + 8. Suppose -4*b = -5*i + 50, 4*b - 3*b = 0. Let d be c(i). What are the prime factors of (1\/d)\/(1\/(-24))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67759379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/10 - 83*j**4\/10 + 14577*j**3\/2 - 5830417*j**2\/10 - 2951692*j\/5 = 0.\nAnswer: -344, -1, 0, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067764705.\nAnswer: 5, 7, 83, 367561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1)\/sqrt(7) + -4*(sqrt(19) + 0))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69568874327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1200 = -13*z + 9*z. List the prime factors of z\/3 - (-2)\/(-4)*-2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p - 0. Suppose -4*i + 2 + p = 0. Let w be 10\/2 + 0\/1. Sort 3, i, w in descending order.\nAnswer: w, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -5 (b) 1 (c) 0.241 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v, 3*q - 14 = q - 2*v. Solve 5*x + 22 = -d, -2*x = -x - q*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8)**(-4\/5)\/(h**(-17)\/h*h\/(h\/(h**20*h))))**(-7) assuming h is positive.\nAnswer: h**(329\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102253*g - 2*g**3 + 102249*g - 3 - 23 + 21*g**3 to k*g**2 + l + h*g + d*g**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121070343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.03, -1.45, 3\/4, -0.391 in decreasing order.\nAnswer: 3\/4, 1\/6, -0.03, -0.391, -1.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 579625 divided by 115925?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16006722 + 1?\nAnswer: -16006721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1698 and 66?\nAnswer: 18678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = p - 18, 0 = 3*p - 3*y. Suppose 2*n - 8 = -2, 72 = p*f + 4*n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from vszdi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13909*(-2)\/(-60) - -1. Let i = -2389\/5 + t. What is the common denominator of (1 - (-89)\/(-70)) + 628\/1099 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/9 and (-3)\/(-3) - (-545)\/(-2250)*5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-721)\/(-515) + 6\/10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73600000 rounded to the nearest 1000000?\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/25*(10\/3 + 0). Let r(x) = -x**2 + 5*x + 10. What is r(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -6 (b) -3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23529815 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 539 - 8*s**2 + 24*s**2 - 14*s**2 as w + d*s**2 + a*s and give w.\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198.51, -1\/2, -0.1, 0.4, 2.\nAnswer: -1\/2, -0.1, 0.4, 2, 198.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 2938?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1153*d*y**2 - 88*d*y + 172*d + 2*y**2 - 10*y - 5045 wrt y.\nAnswer: -2306*d*y - 88*d + 4*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -1, -3 in decreasing order.\nAnswer: 6, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 1, 16*p + 28 = 15*g + 14*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2379*o - 8 = -2378*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*c + 14*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295780827 to the nearest integer?\nAnswer: 17198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 25*f**6\/4 + 129*f**5\/2 - 267*f**4\/8 + 9*f**3\/2 - 1976. Factor v(l).\nAnswer: 3*l**2*(l + 9)*(5*l - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3234*q + 3238*q - 2660, -q + 645 = -3*d. Calculate the greatest common divisor of q and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.075, 0.3, -4, 3, -19, -1 in increasing order.\nAnswer: -19, -4, -1, -0.075, 0.3, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58462.97kg in micrograms?\nAnswer: 58462970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1843 = -16*k + 1699 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -3 - 4)\/(-3). Let x = -27 - -23. Sort x, p, 1 in descending order.\nAnswer: 1, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -5 (c) -3.61 (d) 2\/7 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 6. Let v be k(-1). Let z be ((2 - -9) + -5)\/v. Solve -z = -3*l + 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398192?\nAnswer: 2, 41, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -281, -2, 1 in descending order.\nAnswer: 5, 1, -2, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4425 + -4136.59. Let u = y - 290. What is u rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -797*l - 31838. What is x(-40)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 28 = -5*i, -l - 3*l + 3*i + 19 = 0. Let w = 0 + 3. Let u be (2 + -4)\/(1\/(-2)). Sort l, w, u in decreasing order.\nAnswer: u, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 36*t**3 + 175*t**2\/2 + 64*t + 3. What are the prime factors of k(6)?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-2))\/((-6)\/(-36)). Let h be o\/(-21)*(-6)\/8. Is h equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200579*q**4*x - 10*q**2*x - 4185*q*x + 2*q - 6*x - 8 wrt q?\nAnswer: -2406948*q**2*x - 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 36 - 55)*(7*c**3 + 12*c**5 - 7*c**3).\nAnswer: -636*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -140*n + 708. Let t(k) = 71. Let l(y) = -d(y) + 10*t(y). Let x(p) = -29*p**2. Give l(x(s)).\nAnswer: -4060*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -3073?\nAnswer: -3073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -4 (c) -5\/213 (d) -7820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 34. Solve -l*z + 13 = -3*z + 5*r, 0 = r - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3584126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -42*p + 342. Let r be y(8). Let s(k) = 20*k**2 - 20*k - 8. Let j(o) = 7*o**2 - 7*o - 3. Give r*s(d) - 17*j(d).\nAnswer: d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let v(y) = -y**2 + 2 + 5*y - y + 5 - p. Let b be v(4). Solve k = -b*x + 18, -k + 0*x + 10 = 3*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -10004?\nAnswer: 5555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 + 99. Suppose 13*d + s = d. Let p = 62 + d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:47 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10834, 27762, 44688, 61612, 78534, 95454?\n\"Answer: -g**2 + 16931*g - 6096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31\/(930\/(-36))*(24\/(-4) + 11). Let x(v) = 0*v**2 + 2*v**2 - v**2 - 13 + 4*v. Determine x(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0*n**3 + 1\/2*n**2 + 23\/20*n**5 + 2*n + 0 - 1\/6*n**4. Calculate the lowest common multiple of m(1) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 659.5205 millimeters?\nAnswer: 0.0006595205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -37 - (-2 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334\/5 - -67. Let x = -24176 - -241761\/10. Find k such that x*k**2 + 1\/10 - n*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 1\/2 (c) 3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17348*b**3 + 3*b**2 - 5*b - 8. Let x(q) = -q**3 - q**2 - q + 1. Let r(m) = o(m) + 4*x(m). Let h be r(-4). What is h rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2763078, 2763080, 2763082, 2763084?\n\"Answer: 2*k + 2763076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -43, -204, -539, -1108, -1971, -3188?\n\"Answer: -10*b**3 + 3*b**2 + 14*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19761\/50814)\/((-2)\/108).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*g = -1332, 0 = -g - 7 - 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 40*n**2 - 77*n - 41. Let a be b(-38). Let i = 14 - 21. Let f = -3 - i. Sort f, -2, a in ascending order.\nAnswer: a, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -7*r + 22. Let j(f) = 130*f + 14. Is j(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -12, 1320 = 3*h - 3*z + z. Let n = h - 136. List the prime factors of n.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8717?\nAnswer: 23, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.26, -52\/7, -5, -2, 3\/5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 0 (c) -0.08 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*1*(-1)\/2. Let v be u\/(-21) + (-37)\/(-7). Suppose -c + 0*c = -v*a + 10, -a = -c + 2. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 2, n: 1, k: 1, o: 1, a: 2}. What is prob of sequence yn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1881 - 319 = -275*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 125011, 125019, 125039, 125077, 125139, 125231, 125359?\n\"Answer: a**3 + a + 125009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241910413 divided by -1?\nAnswer: -241910413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:36 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.9. Let b = -127.2559 + 0.1559. Let f = -127 - b. What is the closest to f in 3, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/17548 and -3\/10.\nAnswer: 87740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/120 - v**4\/6 + v**3\/6 - v**2. Let m(c) be the first derivative of o(c). What are the prime factors of m(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 70*o**4\/3 - 202*o**3\/3 - 104*o**2 - 8*o\/3 + 32\/3 = 0.\nAnswer: -1, -2\/5, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*y - 85, s - 21 + 2 = -y. Let q = -16 + y. Let n = 0 + 0. Solve r - 4*r + q*d = -8, 2*d + 8 = n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11*s - 2. Suppose -15*a + 20*a - 5*p = 5, 0 = 4*a + 3*p + 17. Give w(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/56531 and 51\/11?\nAnswer: 621841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -565102*l**3 - 8*l**2 + l - 3441 wrt l.\nAnswer: -3390612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28286660, 56573323, 84859986?\n\"Answer: 28286663*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*y - 329 + 329)*(-156 - 153 + 311 + 15*y**3).\nAnswer: -390*y**4 - 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**4 + s**3 - s**2 - s + 1. Let g(x) = -18*x**3 + 18*x**2 - 4. Let r = 4 - 0. Suppose 4 = 2*y - r. Let v(i) = y*c(i) + g(i). Solve v(w) = 0 for w.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 8*a + 6. Let f(i) = -2*i - 1 + 6*i**2 + 5*i - 5*i. Let p be f(-1). Is d(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 106236?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*k - 35*k - 116*k.\nAnswer: -212*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -561, -559, -557?\n\"Answer: 2*a - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -119143, -119097, -119065, -119053, -119067, -119113, -119197?\n\"Answer: -k**3 - k**2 + 56*k - 119197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 69*q - 1690. Give o(19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 622 - 566. What is the highest common factor of d and 320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f + p - 5, 0 = 4*p + 20. Let i(o) = 1 + 3 + 2 - o**2 - f. Let j(u) = -u**3 - u**2 + 2*u - 1. Let z be j(-2). Give i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.071 (b) -12 (c) 6 (d) 5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -18*x + 23. Let k be h(-6). Suppose 8*z - 317 = k. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*y - 2*k, k - 15 - 6 = -4*y. Suppose 4*s + 4 = 2*s. Put y, s, -4 in descending order.\nAnswer: y, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*sqrt(336)*-1 + sqrt(336))\/(sqrt(49)\/(sqrt(35)\/sqrt(5))).\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54832257 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -455714*h - 4. Let p be z(14). What is p rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2 - 9\/18. Calculate the remainder when 2\/11 - 2324\/(-44) is divided by ((-4)\/i)\/((-1)\/(-9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -4\/3 (c) -8 (d) 0.5 (e) 360674\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8445, 8458, 8507, 8610, 8785, 9050, 9423?\n\"Answer: 3*d**3 - 8*d + 8450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-224)\/(-36) - (-6)\/(-27). Let j(n) = 2*n**2 - 11*n - 4. Let q be j(d). Let g be ((-3 - 0) + q + 1)*-1. What is the third biggest value in g, 0.3, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 56763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -49. Let k = z - -51. Is k >= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 6*x - 16*x. What is the hundreds digit of 6420\/x - 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46984 divided by -5873.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5236\/(-6358)*68\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = 0. Suppose -y - 12 + 156 = v. Let f = y - 83. List the prime factors of f.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 51. Suppose i = 27*q + 2*q - 6815. Calculate the greatest common divisor of q and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/11 - 4\/22. What are the prime factors of (3 - (2 - r)) + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -38*(1 + (-265)\/(-10)). Let o = -3381 + -363. Let h = r - o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + f)*(1 + 2 + 1)*(3 - 2*f - 3)*(-3 - 4 + 1).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 3. Suppose -2*r + 29 = h, -4*r + 5*h = -20 - 17. Suppose r*a = v*a + 16. Solve -5 = -o - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131854965*w**4 + 176618432*w.\nAnswer: 1582259580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) + -1 + 17\/3. Suppose 3*l - 970 = g - 152, 0 = n*l - 5*g - 1098. Let d = l - 139. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2077 = 459177*w - 459110*w for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(20)\/(1*sqrt(4)) + sqrt(160)\/sqrt(8)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17471821 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 41*h - 332. Let s be m(30). Let t(i) = -13*i**2 - 5*i - 3. Let r(v) = 6*v**2 + 2*v + 1. What is s*t(b) - 5*r(b)?\nAnswer: -4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -196*x + 19580. Calculate p(101).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = y - 169, 0*y - 4*y = 5*o - 694. Let g(x) = -12*x + 7. What is the remainder when y is divided by g(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -527 - -529. Which is the second biggest value? (a) -0.033 (b) o (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.16894 millilitres?\nAnswer: 0.02016894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17424 and 64856?\nAnswer: 1167408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16 + -2)*2\/4. Suppose 2 = 2*z - v - 5, z = 4*v - t. Solve 2*g - z*s - 9 = 3*g, 3*g = -5*s - 17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-35)\/15)\/((-1)\/36).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110121210 - 212010?\nAnswer: 10102202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let t(z) = -2170*z**2 - 5. What is t(u(m))?\nAnswer: -2170*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 9\/5, -4, 0.2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -39) + (-5 - 4 - 99 - -3)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2665 + -1.2665. What is the closest to 1 in -2, -0.5, 42, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 35 = -2*b + 29, 5*b + 56 = 2*l. Calculate the greatest common divisor of l and 882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 429\/78*10\/22.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**34*(r**(1\/4)\/r)\/(r*r*r*(r\/r**(-3\/7))\/r) assuming r is positive.\nAnswer: r**(-1069\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 163235.78 and -5.\nAnswer: 163230.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb411 (base 14) to base 16.\nAnswer: -f2097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 0.06 (c) -1092 (d) 867\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(30\/(-2))\/3. Let h(a) = 4*a**2 + 4. Let f(x) = -7*x**2 - 7. Give i*h(b) + 3*f(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102.41 - 0.19. Let i = 149 - 243. Let k = i - j. Round k to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101699 - 101696 - 1116*m**2 + 323*m**2.\nAnswer: -793*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324947\/18 - 18048. Find the common denominator of 55\/34 and u.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000488 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1143 and 42.\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(135\/2*125\/(-1250)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/12)\/4*-12. Suppose 12 = -0*g - q*g. Suppose 4*l = -5*p - 23, -2*l - 13 = -71*p + 74*p. Which is the nearest to l? (a) -0.3 (b) g (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1022?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 362 = 2*a + 18*v, -5*a - 931 = v. Let o = -95 - a. Calculate the remainder when o is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b. Let z be a(-1). Let p be (-1)\/3 - z\/(198\/48). Is 88*(-19)\/p - 3\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 1 + 4. Suppose 5*x + 12 = 22. Put x, 4, s in increasing order.\nAnswer: s, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 5. Let x be (1521\/171 - 9) + (-116)\/(-19). Give a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - f + 43 + 39, 5*l + 5*f - 120 = 0. Suppose -5*w + 48 = -4*q, -11 + l = w - 5*q. Calculate the greatest common factor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 + 3. Let b be w(3). Suppose 0 = -2*t - b*t + 25. Let k = 12 - 10. Solve 0 = -k*a + t*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:39 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2082 - -279. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000101011001000100 - 100100?\nAnswer: -1100000101011001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = -55 - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1812634 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2641 is divided by 862?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 10, 0*k + 14 = 3*l + k. What is the third derivative of 3*i**2 - 2*i**l + 8*i**3 + 7*i**2 + 2*i**3 wrt i?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 182210, 182192, 182158, 182102, 182018?\n\"Answer: -d**3 - 2*d**2 - 5*d + 182218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552 times 357.93?\nAnswer: 4850667.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 47 = -8*r, 4*r - 7 = -o + 4*o - 12*r + 18*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 7287.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 7 - 19)*256\/(-48)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*h*r**3 - 846*h - 3*r**3 - r**2 wrt r?\nAnswer: -39*h*r**2 - 9*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.0309331\nAnswer: 0.01546655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -102, -100, -96, -90, -82?\n\"Answer: l**2 - l - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 2:29 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -67 (c) -2 (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7.11?\nAnswer: 9.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6907875.3 seconds in hours?\nAnswer: 1918.85425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1081, 1931, 2853, 3859, 4961, 6171, 7501, 8963?\n\"Answer: 2*h**3 + 24*h**2 + 764*h + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90382394.03896 + 0.02.\nAnswer: -90382394.01896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let i(a) = -9*a + 2. Determine i(h) + j(h).\nAnswer: -8*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18038 + 18038 - 3*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968977.9 hours to nanoseconds.\nAnswer: 3488320440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-3*s + 4*s + 0*s) - 4633 + 1549 - 33114*s + 1543 + 1541 to c + o*s and give o.\nAnswer: -33113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1. Let f(p) = -289*p - 286*p + 3 + 577*p. Give -f(r) + 5*k(r).\nAnswer: -2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-12))**(-4\/17)\/(g**(-21)\/g**13))**(-7\/8) assuming g is positive.\nAnswer: g**(-2191\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 1 s when three letters picked without replacement from {j: 2, b: 2, e: 1, s: 9, h: 3}.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9e (base 16) to base 15\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + 2*sqrt(78)*-5 - sqrt(78)) + sqrt(78) + -2*sqrt(78)*-4)\/((6*(sqrt(288) + sqrt(18)))\/(sqrt(432) + sqrt(27))).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2458 is divided by 80.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 4*q - 57. Give o(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49128, 97463, 145800, 194139, 242480?\nAnswer: 290823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxbx when four letters picked without replacement from hxbhbhhxxbxkx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cc33 (base 16) to base 14.\nAnswer: -30d11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 10*a**2 - 338*a + 3. Calculate the remainder when 30100 is divided by c(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {n: 2, d: 1, o: 4, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 17}. What is prob of picking 1 g and 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1063 by -11154.\nAnswer: 1063\/11154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -134 - -129 - ((-1 - -1) + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 7. Let f = -4 + 10. Give z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (23 + -32)) + 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-100))\/(3\/(15\/(-2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54.08303 and 123.8.\nAnswer: 177.88303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**5\/60 + u**4\/4 + 3*u**3\/2 + u**2 + 5. Find x, given that r(x) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thphdiphdd. Give prob of sequence ti.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 534, 1038, 1544, 2052, 2562?\n\"Answer: y**2 + 501*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5350 and 2140?\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 41704038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 408 - 406. Solve 4*b + 2*o + 4 = 0, -y*o = b - 6*b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(252)*-3)\/(((sqrt(36) + sqrt(180)\/sqrt(5))*5 + sqrt(36))\/(sqrt(256) + 1*sqrt(256))).\nAnswer: -1152*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2812 and 25201524.\nAnswer: 932456388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 + (7 - 2) - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 7*m**4\/24 - 71*m**3\/6 - 48*m**2. Let i be r(13). Solve -w + i = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 8 = -2*f - 20, 0 = 5*c - 2*f + 44 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/10355260 and 107\/3395562.\nAnswer: 1460091660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 2*u**3 + 3*u**3)*((4*u - 3*u - 2*u)*(-2*u - 2*u - 8*u) + u**2 + 0*u**2 + 0*u**2 - 4).\nAnswer: 26*u**5 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let m be g(-4). Let k(h) = h**3 - 4*h**2 - 7*h + 5. Let u be k(5). Let i = u + 9. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 10*b + 3906 = 0. Let y = b + -542. What is the highest common divisor of y and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {o: 2, a: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 8. Put 2\/7, 0.4, m in increasing order.\nAnswer: m, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1237708 - -82\nAnswer: 1237790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 152*o**3 - 34*o**2 - 3530*o. Let k(n) = -50*n**3 + 12*n**2 + 1177*n. Let q(w) = 11*k(w) + 4*y(w). What is the second derivative of q(u) wrt u?\nAnswer: 348*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-3))\/(6\/(-2)))\/((-398)\/25074)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5289, -6480, -7671, -8862, -10053, -11244?\nAnswer: -12435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 353 (b) -3 (c) 2 (d) -2 (e) -0.08 (f) -202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19669 - 0.3\nAnswer: -19669.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {w: 4, b: 3, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhpphhphhpphppgp. Give prob of picking 1 g and 1 p.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622907 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 1. Let p be h(0). Suppose -p + 2 = -n. Let m be (2*45\/(-1026))\/(-15)*(-3)\/(-1). Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-522)\/24 - -22)\/(4\/144)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-2)\/2))\/(2\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25326 is divided by 4111?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 235191?\nAnswer: -94076.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-110))\/((-1)\/2)*41665\/2564.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9))**9 assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2. Let v = -1 - -4. Let i(f) = v*f + f - f. What is d(i(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-14) + (4 - 2). What is the nearest to t in 2, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.027 or -3\/63281?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 36. What is the remainder when b is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12221, 12222, 12199, 12152, 12081?\nAnswer: 11986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -21. Suppose -80 = -y - 4*y. Calculate the least common multiple of y and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 239763805 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyy when three letters picked without replacement from {w: 2, x: 1, y: 3, f: 6, t: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - (-8 + 35\/7). Suppose 4*w - 5*z - 31 + 1 = 0, -3*w = z - g. Solve -w*a - 81 = -106 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3429, 3456, 3501, 3564, 3645, 3744, 3861?\nAnswer: 3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*39\/39*(-1)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1924643 times 4\nAnswer: 0.7698572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6373 + 2?\nAnswer: 6375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 760031626 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -10 and -152.441301 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -32.04. Which is the closest to -3? (a) -0.3 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -11, 50, 4?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*z - 15, 0 = 5*f + 4*z - 12 - 3. Let t(b) be the first derivative of -b**3\/3 + 5*b**2\/2 - 2*b - 31. Determine t(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3383394 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0.42 (c) -0.2 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -838174.814 rounded to the nearest ten thousand?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*j*j*j*j*j**(-11))**43 assuming j is positive.\nAnswer: j**(-774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + -0.07. Let g = p - -0.19. Which is the closest to g? (a) 5 (b) 2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32519, -66174, -99829, -133484, -167139?\nAnswer: -200794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 - -175. Suppose 0*h + 3*h - d - 158 = 0, 2*h - 107 = -d. Suppose -v*t + 4*z + 123 = -160, -t - z = -h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (0 - -2))*1. Suppose -y = -h*n - 0*y + 198, 4*n - 3*y = 264. What is the remainder when n is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2050*1\/(-3))\/((196\/(-63))\/14). Calculate the highest common factor of q and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3 (base 14) in base 9?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 + 5*t - 1. Let w be j(4). Solve 4*n + w + 1 = 0, 5*v = 5*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2314, -2402, -2648, -3130, -3926, -5114?\n\"Answer: -13*i**3 - i**2 + 6*i - 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -76, 3, -1 in increasing order.\nAnswer: -76, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80763934?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1 - 2) + (-1 - -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/42)\/(-4))\/((-8)\/(-12)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 948 + 353*b + 355*b + 351*b + 798*b**3 - 1063*b wrt b?\nAnswer: 2394*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two sevenths of a week in days?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, 696, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58691733509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100002 + -11222201101?\nAnswer: -12000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - u - 45563 = 0, 6*s - 3*u - 34170 = 3*s. Let v = 34490 - s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28810734 equal to -28810736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 - 2*t**3 - t - 3*t**4 + 2*t**4 - 8 + 7 - t**2 to p + v*t**4 + i*t + m*t**3 + j*t**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-6 + -20 + -26)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(5\/(-30)). Let f be -3 + -6 + (-4 - -7). What is the remainder when ((-1008)\/f)\/z + 4\/2 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + 5 + ((2 + sqrt(76))*4)**2 + (sqrt(76) + 3*sqrt(76) + 5 - sqrt(76)).\nAnswer: 134*sqrt(19) + 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.4 - 283087570.8.\nAnswer: -283087599.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7001741\/28 - 250108. Let m = w + 480\/7. What is the common denominator of -41\/18 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/4 + (-16)\/((-96)\/(-9)). Solve -i - 8 = -k*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15446*t - 15553*t = -2022 - 867 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805 and 152191.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7*z - 98 = 11*z, 2*r + 2*z = 32. Solve r = -y - 8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {b: 2, o: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 23*a**2 + 35*a - 190. What is f(22)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.49 + 34.19. Which is the second smallest value? (a) j (b) -2\/5 (c) 0.3 (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 4. Let j(i) = 2*i - 8. Let y(x) = 6*j(x) - 13*v(x). Let f(r) = 5. Determine -3*f(p) + 4*y(p).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + d - 4*d - 4*d - d + 6*d + (3 + 2*d - 3)*(-2 - 1 + 2) + 0*d + 3*d - d + (2 - 2 - 2*d)*(2 + 3 + 2) to the form z*d + b and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 362.99 - 361. Let u = -0.01 - r. Suppose -2*s + 179*m - 177*m + 20 = 0, -4*s - 5*m + 4 = 0. What is the second smallest value in u, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 36*j = 888. Suppose 6 = -3*b + 5*r + 41, 4*b + 3*r = j. Solve -7*x = -b*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (0 - -4) - -26. Let h = 28 - j. What is the greatest common factor of h and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2 and 10\/50 + (-6)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 11*s + 11. Let p = -7 + s. Let d = 43 - 22. Solve b + x = 6, p*b - 5*x = -6 + d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 60 = -3*r. Is 6 a factor of -9*1\/(9\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44856.00368 and -1.5?\nAnswer: 44854.50368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (259605*l**2 + 9*l**5 + 35*l - 4*l**5 - 259606*l**2)*(-1 + 5 - 1).\nAnswer: 15*l**5 - 3*l**2 + 105*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 12, 0 = 3*y + 2*m - 24 + 1. Suppose -5*t = h - 470, y*h - 5*t = 4*h + 500. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -328*y - 537*y - 6055 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2 + 29*b*t**2 + b*t + t**2 - 6*t wrt b?\nAnswer: -6*b + 29*t**2 + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**3 - 57*x**2\/2 + 1051. Find l such that c(l) = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 48*a**2 + 569*a - 6. Does 57 divide h(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166006 is divided by 89?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -9*a + 12. What is the greatest common divisor of a and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*o. Suppose -5*c + 3 = -o*c. Suppose -5*x = 3*i - c, x - 4 - 1 = i. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(1\/21)*(y*y*(y*y**(1\/2))\/y)**50 assuming y is positive.\nAnswer: y**(376\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 162*v - 65. What is c(9)?\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21985391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1004341402 + 13?\nAnswer: 1004341420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-6)*(-8)\/6. Let t(m) be the second derivative of 2*m**3\/3 - 7*m**2\/2 + 5*m. Is t(h) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 85754?\nAnswer: 1\/85754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 90*p**3 + 295*p**2 - 390*p.\nAnswer: 5*p*(p - 1)*(p + 6)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(386 - 276 - 182)*(-3*g + 0*g + 2*g) to the form v*g + m and give v.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 1 + (0 - (12 + -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -25*n - 31. Give g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q + 5. Suppose q*v - 10*v = -3. Differentiate 10*a**3 - 2*a**3 + 5*a**3 - v + 6 wrt a.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaayaaaaaaayaaaayay. What is prob of picking 3 a and 1 y?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:07 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - (3 - (-13)\/4). Let g(t) = -t**3 - 5*t**2 + 4*t - 7. Give g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394 = -19*a + 432. Solve -3*k + 5*j = -1 + 29, -13 = 3*k - a*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13734716 and -0.2.\nAnswer: -13734716.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11) + 3)**2 + -4 + 1.\nAnswer: 12*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53262.3 and 0.075?\nAnswer: -3994.6725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + x**2 + 10*x + 2*x**4 - 8*x + 2 + 7*x**3 to the form v*x**3 + a*x**2 + o*x**4 + l*x + n and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54203741491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 2212604*u**2\/7 + 29717160*u\/7.\nAnswer: -4*u*(u - 79035)*(7*u + 94)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -70.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 126*l**2 + 702*l - 6145. Determine i(131).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w**3 - w**2 + 41*w + 40. Let u(g) = -14*g**3 + 42*g + 40. Let o(y) = 4*c(y) - 3*u(y). Solve o(d) = 0 for d.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50867808?\nAnswer: 2, 3, 17, 71, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43167\/2431 - -114\/221. Let a = v + -2681\/110. Calculate the common denominator of (-473)\/(-60) - 4\/(-20) and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19262489 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 11, -49, -153, -301, -493, -729?\n\"Answer: -22*v**2 + 6*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(10)\/sqrt(2) + 2)*5 + ((sqrt(90)\/sqrt(3))\/sqrt(6) - sqrt(5) - -3*(sqrt(5) - (sqrt(5)*-1)**2)) + -4.\nAnswer: 1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8475 and 307473?\nAnswer: 7686825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c + 6. Suppose 0 = 4*n - c*n - 6. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1191 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6655 - 6654. Put -0.069, 29, a in decreasing order.\nAnswer: 29, a, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181059 is divided by 2081.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*8\/((-32)\/(-6))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5005014 - -2?\nAnswer: -5005012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37704.\nAnswer: 2, 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 471, 3, -3, 1\/8 in decreasing order.\nAnswer: 471, 3, 1\/8, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 195*o + 9480. What is g(-49)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35827243567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 15. Let q be x(-19). Is 772\/q + (-6)\/(-2 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 3*j**5\/10 + j**4\/8 + 169*j**3\/6 - 15*j**2 - 2*j. Differentiate r(g) with respect to g.\nAnswer: 36*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/140)\/(146439\/1590 + -92)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1984 - -3046. Let d = t + -1062.000001019. Round d to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -867538*z**4 - z**3 + 281407*z**2 + 1 wrt z?\nAnswer: -20820912*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194\/6 - (-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.047627 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3\/15 - 4066*p**2\/15 + 59968*p\/15 + 1154296\/15 = 0?\nAnswer: -11, 26, 2018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1) + (-13)\/(78\/(-12)). Suppose j*i + 3 = 3*m, 3 - 6 = -3*m + 2*i. Solve -m = 4*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one half of a week in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 211.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35\/21)\/(20\/(-12))*(1 + -3). Solve 4*p - 5*n + c*n = -5, 3*p - 5*n = -12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9 + 16)*((0 + 0 - 2*v)*(-4*v + v + v) + (4*v - 3*v - 3*v)*(-81 + 81 - 2*v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*v - 6*h + 50, 17*h - 12*h + 24 = 81*v + 2282 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**3 + 370215*o**2 - 92553*o = 0. Calculate o.\nAnswer: 0, 1\/4, 30851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1852173 or -1852155?\nAnswer: -1852173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45416 + 5242?\nAnswer: 53661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241 minus 3.3?\nAnswer: 1237.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -59377068*f. Let k(l) = 2*l. Give k(g(m)).\nAnswer: -118754136*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 30 = 4*r, -5*w + 119*r = 120*r - 45. Calculate the smallest common multiple of 640 and w.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 8 - 22. Is 12 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*l + 11, -205*b - l + 1 = -207*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 0*t**2 + 0*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -1919, -1\/6 in decreasing order.\nAnswer: 3\/5, -1\/6, -1919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*j**2 + 627*j**2 - 62*j**2 + 431*j**4 wrt j?\nAnswer: 10344*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-532)\/(-24))\/7 + 5\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1 + (-25)\/(-15)). Suppose -r + 15 = 5*a, 0 = m*r + 2*a + 3*a - 15. Which is greater: r or -22\/17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*2)\/sqrt(2))**2 + sqrt(18)\/sqrt(54).\nAnswer: sqrt(3)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 298.1, -0.4, -0.3, 3, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12775*c + 11773*c - 24548*c + 173*c**3.\nAnswer: 173*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -22. Let y = 31 - c. Calculate the remainder when 53 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.8 + 4.2. Sort b, -1, -3 in increasing order.\nAnswer: -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/15)\/(6\/153). Let b be 39\/(-14) - v\/119. Which is smaller: -1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566339 - 1617767.\nAnswer: -1051428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305494797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-16 - -1 - 2). Let v = 83 - 60. Let j = v + y. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 1181*a - 1182*a - 1, -3*w + 3*a = -3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -211 - -201. Which is the second smallest value? (a) 1\/4 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -59. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 - 43*o + 5. Give n(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, 0, -4.642, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106794*y - 5200 = -106994*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2449 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let m(l) be the first derivative of -l**2\/2 + 3. What is o(m(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 99 = -15. Let o be (-12)\/r*(-5 + 12). Suppose l - 2*a = 55, l - 49 = -0*l - o*a. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*s - 10. Let f be 8\/(-5)*125\/s. Solve -4*r + 0*r = -f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + -1 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/9 - 316*t\/9 + 310\/3 = 0. Calculate t.\nAnswer: 3, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406393?\nAnswer: 13, 43, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 1)*(3*s - 3 + 3).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -327948\nAnswer: -1\/81987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 14*p - 3. What is the remainder when 94 is divided by c(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394772.\nAnswer: 2, 7, 23, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168881\/30096 - -1\/3344. Find the common denominator of y and 0 - -4 - (0 + (-185)\/100).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwo when three letters picked without replacement from wznrzgzwnwwzogwzgzr.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104622, -104833, -105194, -105711, -106390, -107237?\n\"Answer: -w**3 - 69*w**2 + 3*w - 104555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 683 * -10265\nAnswer: -7010995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 6*c + 23. Let h be w(-27). Suppose -q = 5*j - 473, 15*q = 18*q - 5*j - h. Does 64 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11144904 - 46463117887\/4169. Let k = 14\/379 - l. Let q = -315\/4 - -1363\/20. What is the common denominator of q and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -212 + 122. Let l = 180 + z. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 92*l - 1975. Let a be u(34). Put 4, -10, a, -2 in decreasing order.\nAnswer: 4, -2, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 8. Give w(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 4*b - 15. Determine j(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23\/79 or 0?\nAnswer: 23\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by 371?\nAnswer: 127\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 40*n - 120)*(4*n**2 - 2*n**2 + 0*n**2)*(-2*n**2 + 0 + 0).\nAnswer: 160*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8870\/6)\/(2\/21) + 255\/(-170)?\nAnswer: 11, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.0446 + -7.97. Let q = 38.6254 + n. Let p = q + -41. What is p rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 0*r + 495 = 0. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.316638 - -117.091838. Let h = -0.1248 - b. Let m = -122.09 - h. Round m to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32930070 by -10976690.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aaa (base 16) in base 15?\nAnswer: -2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 0 + 2 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzzqzqqqqz?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let d(p) = -2*p**2 + 3*p + 3. Calculate d(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:00 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.87 + -14. Let x = 0.13 + a. What is the second biggest value in 1, -2\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c - 35 = 0. What is the remainder when 15 is divided by 300\/28 + (-2)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323427165 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 6*t**2 - 25*t + 207. Give l(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*v**2 - 36*v**2 + 125*v**2 - 46*v**2.\nAnswer: 203*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, -88, -605, -1348, -2317, -3512, -4933?\nAnswer: -6580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - (-6342)\/(-30) - 0)\/((-3)\/15). Calculate the greatest common factor of w and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhyg when four letters picked without replacement from hccyhccggyh.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 45, 31, 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 476 and 35185\/74 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 0*i**3 + 0*i**3)*(-i + 2 - 2) + i**4 + 0*i**4 + 0*i**4 - i**2 + 2*i**4 + i**2 - i**2 + i**2 - 2*i**4 + (-i - 2*i + 2*i)*(2*i**3 + 3 - 3).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.82320183 rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*t**3*y**2 - 73*t**3*y + t**2*y**3 - 7*t*y**3 + 22*y**3 + 581 wrt t?\nAnswer: 300*t*y**2 - 438*t*y + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11693, -11692, -11681, -11660, -11629, -11588, -11537?\n\"Answer: 5*w**2 - 14*w - 11684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3242765.\nAnswer: 5, 47, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c**3 + 34*c**2 + 12*c - 28. Determine b(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 226 + 1025 = -144. Solve 19*q = -h + 60 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*q**3 + q - 4*q + q - 3*q**3 + 4*q**3 + 2*q**3 + (-2*q - q + q)*(-q**2 - 4*q + 4*q).\nAnswer: -17*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 4. Let t be b(4). Suppose 4*c = d + t, 6*d = -5*c + 2*d + 5. Let h = 10 - c. What is the highest common factor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 90.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 44. Let s be g\/3*(1 + (-1)\/(-2)). Let c = s - -20. Solve c*z - 2 = -0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -519.\nAnswer: 4\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (4 - 4) - -3) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43731857 divided by -5\nAnswer: 43731857\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*u + 533 = 196, -2*j = 5*u - 175. Suppose -2*n + 4*h = -j - 13, 0 = 4*h. What is the remainder when n is divided by (-1)\/3*-17*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 135 = 25. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(-25 - 2*z + 289 - 161).\nAnswer: -6*z + 309","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 421 = -28. Suppose 2*n - 152 = -3*o + z, o - 105 = 2*n. Suppose 2*c - 3*i - o = -2*c, 4*i + 34 = c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 51*i**2 + 4*i + 4. Let s(d) = -34*d**2 - 2*d + 1. Let c(h) = 108*h**2 + 7*h - 1. Let q(o) = -3*c(o) - 8*s(o). Give 5*g(y) + 4*q(y).\nAnswer: 47*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (6 - (10 + -12 + 16 + -36))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 9*c - 8. Let y(s) = -s**2 - 2*s + 2. Give -9*y(b) - 2*z(b).\nAnswer: 3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, 4, 184 in increasing order.\nAnswer: -2, 0, 3, 4, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0) + (77 - 61) - 10. Solve 2*t + 5*b = 9 - 6, -x*b = t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/47? (a) 6 (b) 1\/10 (c) -2 (d) 1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o + 42. Let x(z) be the first derivative of z**2 + 78. What is p(x(n))?\nAnswer: 12*n + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 66*y**3 - 31*y**2 - 115*y - 101. What is c(-3)?\nAnswer: -1817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17972099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165769 = 69*x - 139556. Calculate the greatest common divisor of 75 and x.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0) + (-83 - -77) - (1 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/7 + 13404*j**3\/7 + 107400*j**2\/7 - 268400*j\/7 = 0.\nAnswer: -10, 0, 2, 6710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(164\/123)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 2732 = -2*l + 1913 for l.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663 divided by 7268.\nAnswer: 663\/7268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (204\/153)\/(4\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152366 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*b - 3*b - 67 = 0, 5*c = 3*b + 83. Calculate the greatest common factor of c and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 39*g + 3042. Let o be v(-73). Let a = 104 + -26. Calculate the highest common factor of o and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 97*u**3 + 3*u + 2. Determine t(-1).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2842 by 951.\nAnswer: -2842\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*g + 12, -8*g = -13*g - 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-8 - -6) - -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 879630 to the power of 1\/2, to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -138. Put 2, 3, l, 0 in descending order.\nAnswer: 3, 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -57. Let k(o) = 3*o**2 + 10*o - 7. Let i be k(-4). Which is the third smallest value? (a) i (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**4 - 14228*g**3 - 952392*g**2 - 14791088*g + 33505504 = 0.\nAnswer: -34, 2, 3623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 9*k**2 + 77*k - 605\/3.\nAnswer: (k - 11)**2*(k - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 6958056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10492 a factor of 1563801124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p - 14. Let r = 43 + -32. Calculate the remainder when w(r) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let p = 140 - 136. Suppose 3*w + p = -8. Which is the nearest to 2\/7? (a) w (b) -3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2144 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y - 3. Determine q(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 36*y - 286. Let d be m(43). Solve -4*f + 28 = -5*i, 3*i - d - 6 = -3*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -0.3 (b) 1\/3 (c) -1\/5 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -13. Let p be (-52)\/8 + 3\/2. Let z be (-2 - -5)*(-10)\/p. What is the greatest common divisor of z and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -30, -2, 26, 54, 82?\n\"Answer: 28*n - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -937925? (a) -1 (b) -2 (c) -1\/3 (d) -3\/5 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 160\/11 + 9\/(-198)*12. Find the first derivative of -49 - 105*i**2 - k - 51 wrt i.\nAnswer: -210*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3933 is divided by 490?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 2*a**2 - 4*a + 15. What is t(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 9*y - 26 = -18*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137190113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/8720311 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 7*z + 12. Let a(c) = c**3 - 8*c**2 + 7*c + 5. Let y be a(7). Let l be f(y). Let k be 4\/10 + 35\/(-25). Sort k, 5, l, 0.\nAnswer: k, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/6*18\/5. Let b = 6 - y. Does 23 divide (-75)\/(-3) - b - (-4)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + c**2 - 4 - 5*c**2 + 3.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - k - 15 = -2, 4 = -r - 3*k. Let z(d) = -2*d + 4. Let g be z(4). Sort 3, g, r in descending order.\nAnswer: r, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 3. Let m = -3928.5 + 5191. Let y = -1263 + m. Which is the closest to y? (a) -3 (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*q - 978, 0 = -q + 3*q + 8. Let x = -493 - z. Solve x = -2*a + d - 4*d - 4, -d = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - q + 23 = 0, 7*q = -4*o + 3*q + 56. Let k be 1\/(-4) - (-28)\/(-16). Calculate the remainder when (-4)\/(0 + k\/8) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1080235*s**5 + 55*s**2 - 4061*s - 1.\nAnswer: 64814100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126054 + -9832055\/78. Calculate the common denominator of w and (2607\/198)\/(105\/(-42)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-69)\/(-5) - 14\/(-70)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j + 5. Suppose 2*f + 4*n = 12, -5*f + 28 + 24 = -n. Let i = -15 + f. Give o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, k: 9}. What is prob of picking 4 k?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, -3 in ascending order.\nAnswer: -14, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (1 - 91)*4\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2847538 - 2847511.999984. Let y = 6.8 + 19.2. Let j = k - y. Round j to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*w = 22, -5*b + 2 = -2*w + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from {x: 3, s: 4, o: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 * -0.025\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2176 is divided by 740.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/3 - m**3\/3 - m**2 + 81*m. Determine l(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.19 + 2.01. Let y = 24.2 - n. Suppose 4*j + 1 = 5*j. What is the closest to y in 3, 3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 equal to 213.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c62 (base 16) in base 2?\nAnswer: -11110001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -37) + -3 + (3 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.69 - 36.69. Let w = a + 32. What is the third smallest value in 0.4, -25, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 55*s**2 + 29*s + 72. Let x be b(-27). Calculate the greatest common factor of 585 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**6 - 184*c**4 + 1311*c**2.\nAnswer: -480*c**3 - 4416*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521*t + 18673 = -80192 for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*g**0)*g**(-1\/7)*(g*g*g*g\/((g*g**(-14)\/g)\/g*g))\/(g\/g**(-15)) assuming g is positive.\nAnswer: g**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**3\/3 - 9*n**2\/2 + 6*n + 3. Let l be c(-7). Let q be (-2 + 0)\/(1\/(-20)*2). What is the greatest common divisor of l and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6668310 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, 0, 3, -4, 24, -70\/83?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3 - 9. Suppose -r = -o*r + 148. Suppose -6*h = -58 - r. Calculate the highest common divisor of h and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/(k*k**(-2\/3)*k))\/k*k))\/k**2*(k*k*k**28*k)**(2\/17))**42 assuming k is positive.\nAnswer: k**(2128\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 5.4. Let z = 78.25 + -77. Let c = z + -1.25. Sort c, 3, -2\/7, h in descending order.\nAnswer: 3, c, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-20)*26 - 2\/(-10). Let i(p) = 85*p**2 + p + 2. Let g be i(w). Suppose -g = -6*v - 364. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) - (sqrt(175) - (sqrt(175) + sqrt(175) + (sqrt(175) - (sqrt(175) + -2 - sqrt(175)))) - sqrt(175) - sqrt(175))))*6*4)**2 + -1.\nAnswer: 46080*sqrt(7) + 1615103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(5 - (-145)\/(-30)). Suppose 6 = y*a - 3*w, -a - 4*w + 24 = 3*a. What is the greatest common divisor of a and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.045 - 2.045. Put 82, q, 0, 5 in descending order.\nAnswer: 82, 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -1 + 0*k**2 + 2\/15*k**3 + 2\/25*k**5 + 0*k - 1\/5*k**4. Factor s(l).\nAnswer: 2*l**2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3639\/181 or 19?\nAnswer: 3639\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -4 - 6 - -5*1. Let z be (-6)\/m - ((-395)\/10 + -1). Determine u, given that 6 + 0 - 41*u**2 + z*u**2 - 4*u = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28023?\nAnswer: 3, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1064*c**2 + 739*c**2 - 432*c**2 in the form l*c**2 + p + z*c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -148*m**3\/3 - 653*m**2 - 259*m + 1. Differentiate r(s) wrt s.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19752 is divided by 41.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 56472.08 centuries?\nAnswer: 67766496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.91 - -0.09. Which is the closest to -2\/3? (a) 1\/2 (b) 4\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + 8*y - 65. Let i(t) be the first derivative of t**3\/3 + 6*t**2 + 13*t - 7736. Determine i(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = 0, -3*i = 5*r - 8*i + 45. Let l be (-3)\/6*r\/2. Differentiate -l - 6*v + 0*v + 5 + 0*v with respect to v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 28 - (30 - 16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94401917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -16569 bigger than -778732\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i + 2170*i**2 + 2 - 28*i - 1262*i**2 - 1042*i**2 + 18*i.\nAnswer: -134*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -11?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*z - 6, -2*a = -4*z - 0*a - 42. Let i be z\/(-12) + (-397)\/(-4). What is the greatest common factor of i and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2355934?\nAnswer: 2, 7, 168281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*h*n**2*o**4 + 8*h*n**2*o + 4*h*n**2 - 459*h*o**4 + 2*h*o + 100*n*o wrt o?\nAnswer: 300*h*n**2*o**2 - 5508*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/374680 and 59\/75.\nAnswer: 5620200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-6)\/(-16)) + 380\/114. Let k(n) = n**2 + 7*n + 8. Let l be k(-6). Let d(j) = 2 + 3 + 7*j - j**2 - l. Give d(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/133*(-2)\/(-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:48 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = -2*m. Let k be (-1 - (-2 - (-47)\/m))*3. Suppose -5*i = 2*u - 104, 0*i = -2*i - 5*u + k. What is the lowest common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/176 and -75\/44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4565, 8870, 12659, 15674, 17657, 18350, 17495?\n\"Answer: -43*u**3 + 4606*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -48. Calculate the remainder when g is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155095, 155106, 155131, 155176, 155247, 155350?\nAnswer: 155491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1586*f**2*m**2 - 25*f**2*m + 2*f**2 + 2*f*m**2 - 1427*f*m - 503*m**2 + 970*m wrt m.\nAnswer: 3172*f**2 + 4*f - 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -10, 4, -3 in decreasing order.\nAnswer: 4, -1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2171\/5 - -430. Let n(x) = x**2 - 24*x + 59. Let f be n(21). Is f at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57242616 is divided by 2185?\nAnswer: 2171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3192.99999943 + -3193. Round t to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuueeuuuuuue. What is prob of picking 1 u and 3 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 200.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let g = 35 - 13. Suppose 14*a - 16*a + g = 0. Let z(h) = 2*h - a + 11 - 6*h. Give z(p(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6179387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336489 is divided by 181?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, m: 2, u: 1}. Give prob of picking 1 f and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*s + 190, -52 = -d + s - 16. Let a(b) = -d*b + 14 + 38*b + 0 + b**2 + 0*b**2. Give a(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - o + 0)*(187 - 9*o - 187)*(0*o**2 - 3*o**2 + 5*o**2).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28803768 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*o*w**2 + 590*o*w + 10*o - 100528595*w**2 with respect to o.\nAnswer: 23*w**2 + 590*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -198 - -81. Let g = -116.99999943 - s. What is g rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 645461 (base 8) to base 9\nAnswer: 358081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t**4 - 17*t**4 + t**3 + 6*t**4 = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 425*t + 38681. Determine z(-91).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 3*v + 4*v + 6*v. Let f(m) = -m + 1. Let y(o) = -3*o**2 - 15*o + 15. Let n(k) = 15*f(k) - y(k). Calculate b(n(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-29)*g**(-23)*g*(g\/(g*g**(-2\/51)))\/g*g**(-4\/5) assuming g is positive.\nAnswer: g**(-13454\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 0, -22 in descending order.\nAnswer: 0, -2, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -474688578 + -3?\nAnswer: -474688581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -103\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10)*5 - 0. Suppose -f*y - 2 = -y. Let x(v) = -3*v**2 - 2*v + 3. Let i(r) = -r**2 - r. Let w(s) = -6*i(s) + x(s). Give w(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 20*v - 58. Let i(o) = -o**3 + 20*o**2 - 2*o + 44. Let g be i(20). Does 30 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 121756, 974033, 3287346, 7792213, 15219152, 26298681, 41761318?\n\"Answer: 121753*v**3 + 6*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -17. Suppose 0*h + h - 4 = z. Factor 1\/3*b**3 + 0*b + 0 - 1\/3*b**h + 2\/3*b**2.\nAnswer: -b**2*(b - 2)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367 + -262. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33623835 or 33623831?\nAnswer: 33623835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7360247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 36 - 38 - 7 + 13 - 19*r.\nAnswer: -14*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7645 divided by -695?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -19, 0, 5, 0.0969, -2.2?\nAnswer: 0.0969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 821779 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*x**2 - 290*q**2*x - 58*q**2 + 21*q*x**2 - 738*q + x**2 wrt q.\nAnswer: 4*x**2 - 580*x - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 402*o**3 - 114 + 140*o**3 + 217*o**3.\nAnswer: -45*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007972897901 to five decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 12*s**2 - 12*s + 10. List the prime factors of h(8).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 118*n**2 + 68*n + 6453. Calculate s(117).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1*(1\/(-4) + 114\/(-24) - -3212)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*f - 2)*(-331*f + 9*f**2 + 640*f - 237*f).\nAnswer: -18*f**3 - 144*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6339*m + 8312*m - 6170*m. Let g(d) = d**2. Give i(g(r)).\nAnswer: 8481*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801697003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 99, -0.2, 0.1, -21.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x - 1823 - 952 + 766 = 4660 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 833*a. Let x be t(0). Determine s, given that 2\/3*s**2 + x + 2\/3*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 23 - 29 = 0. Suppose -2*x = m*x - 1090. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1807\nAnswer: -5\/1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*h**2 + 7 - 19075*h**5 - 10 + 19610*h**5 wrt h.\nAnswer: 32100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsfs when four letters picked without replacement from ssfffxfxf.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*n - 31 = 0, -5*y + 18 + 82 = 3*n. Suppose -b - 5 - 8 = -4*f, 0 = 5*f - 2*b - y. Suppose -f*j - 5*h = -2*h - 453, -2*h = -4. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1755 and 195750?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/4356)\/(12\/132)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 54?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 - g**3\/3 + 3*g**2\/2 - 3*g - 2. Let f be b(3). Suppose 3*v + v = f. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, a: 4}. Give prob of picking 2 i and 2 a.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003836 rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(187) + sqrt(187)))\/(sqrt(539)*4 + sqrt(11)).\nAnswer: -12*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 = -18. Suppose -b - 2*b + 114 = 5*m, j*b - 96 = -4*m. Suppose -4*y - 138 + 374 = 0. What is the remainder when y is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134.2 - 135. Let z = 122 - 121.6. Which is the third biggest value? (a) f (b) 5 (c) z (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -40\/3, -1.6 in increasing order.\nAnswer: -40\/3, -1.6, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*o - 5*p, 2144*p = o + 2145*p - 11 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:05 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 2*v - 4*v)*(0 - 2 + 1)*(6 + 1 - 3).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 7) in base 10?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*b + 8, 4*b - 3*h = -5*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + g, 4*l = -3*g + 7 + 10. Let f = 8 - l. Solve r + 3*j = -j + 14, -6 = -f*r - 3*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57245*d**4\/4 - 276719655*d**3\/2 + 1337624019545*d**2\/4 + 31253804025*d + 730236125 = 0.\nAnswer: -5\/107, 4834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -3 (c) -0.4 (d) -1\/7 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + 0)*-2.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0.13, 6\/5, 3\/7189?\nAnswer: 3\/7189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.5 - -12.3. Let f = v - 1.8101. What is f rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3\/2 (b) -0.2 (c) 250 (d) -0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157*d**2*g*k - 27883*d**2*g + 3*d*g*k + d*k - d - 150269*g wrt d.\nAnswer: 314*g*k - 55766*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 - 2*t**3 + t**2 + (0*t - 2*t + 4*t)*(6*t**2 - 2*t**2 - 5*t**2) + 4*t + t**3 - 4*t + (-7*t**2 + 2*t**2 + 2*t**2)*(t - t + t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.67\nAnswer: -2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 413992*o + 2069860.\nAnswer: 4*(o + 5)*(o + 103493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1349 or 1?\nAnswer: 1\/1349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1100, 1102, 1104?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 6*g**2 - 2*g**2 + (0*g**2 + g**2 - 2*g**2)*(3 + 3 - 4) - 3*g**2 + 5*g**2 - g**2 + (4 - 4 - g**2)*(1 + 1 - 3).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5622335 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51028, -51056, -51096, -51142, -51188, -51228?\n\"Answer: z**3 - 12*z**2 + z - 51018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = k - 42, 5*k - 165 = 5*u. Suppose 0 = j + 4*j - k. Solve -7 = 3*m + d, 3*m = -3*d + j*d - 27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(10\/(-55))\/((144\/12)\/6)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/(((p*(p**(1\/2)\/p)\/p*p)\/p)\/p)*(p**12\/p)**(-8\/9))**(-4\/19) assuming p is positive.\nAnswer: p**(298\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 15*h - 23*h.\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 + 92*t + 1620. Let k be g(-11). Let j(r) = -r**3 - 2*r**2 - 2*r - 2. Let y be j(-2). Solve -14 = 2*l - y*f, -5*l - 2*f + 15 = k*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1920 and -221590.\nAnswer: 425452800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 22 - 1 = z, 10 = -5*z - 2*l. Sort z, 0, -2, 1.\nAnswer: z, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - y - 7 = 0, -4*o + 2*y = -1 - 23. Let z be 902\/o + 14\/(-35). Suppose -4*l + z = 40. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 34 - (0 + -1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 8. Let z be n(5). Suppose 7037 - 918 = 4*f + q, -z*f + 4*q = -3082. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - 6*p - 4. Let j(l) = 9*l**2. Let z be j(-1). Let d(x) = z + 11*x + 0 + 6*x + 8*x**2 + 2. Let i(f) = -4*d(f) - 11*w(f). Solve i(h) = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - 184\/(-32). Suppose 4*c = -3*n + 8, 2*n + 5*c - 2 = -v. Solve n*p - 5*p = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*u + u**4 + 2*u**4 + 10*u**3 - 8*u**3 - 2*u**4 as r*u**3 + a*u + g*u**2 + k*u**4 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b + 36. Let g = 52 + -47. Let q = g - b. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174.74 + -124.9. Let t = -0.84 + f. Let j = t - 49.000148. Round j to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0\/2 + 2. Let h = -27 - -29.4. Let c = h + -0.4. What is the second smallest value in c, -2, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -18*b - 252. Suppose b = -0*t + 7*t. Let w(x) = -2*x**3 + 22*x**2 - x + 4. Is w(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 99.8. Let u = -3.2576 + d. Round u to three dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m - 4998. Let z be f(0). Let o(i) = 17*i**2 + 25*i - 25. Let d be o(22). Let b = d + z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*z**5 - 12307*z**4 - z**3 - 6*z**2 - 40*z - 6463 wrt z?\nAnswer: 15360*z**2 - 295368*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302510350?\nAnswer: 2, 5, 29, 898283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-6))\/((-4)\/(-18)). Let z(i) = i**3 + 16*i**2 + 14*i - 3. Determine z(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12222, -48887, -110002, -195579, -305630?\nAnswer: -440167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72771050?\nAnswer: 2, 5, 11, 17, 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -0.4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 + 16*g**4 + g**3 - 5972*g**2 wrt g.\nAnswer: 60*g**2 + 384*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -89, -1\/2, 3, 0.2, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*f = -3117 + 639 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 + 0*h**2)*(-2 + 2 - 2)*(5*h - 5*h + h**3).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 24.2. Which is the closest to 3? (a) y (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, s: 3}. What is prob of sequence ssx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 50*b - 323. Give p(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59\/5 of a kilogram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) 34 (c) 12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 4*k + 2. Let v be a(-4). Suppose -550 - 35 = -9*d. Let g be 1 + (-1 + 2)\/(13\/d). Calculate the highest common factor of g and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x = -40*x + 9*u - 444, 0*x + 5*u + 3*u = 2*x + 9*u + 10 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14.3. Which is the closest to -2\/3? (a) 3\/2 (b) 1\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -1. Let o be (-4)\/(-6) - k\/3. Let u(m) = -m**2 + m + 1. Let c be u(0). Put -3, c, o in increasing order.\nAnswer: -3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -g + 46, 0*y - 5*g = -3*y + 40. Let i be (-71)\/(-5) - 3\/y. Suppose 10 = 3*z - i. Calculate the remainder when 21 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -4 (b) -2\/9 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 - 18*i - 11. Let m(g) = 3*g**2 + 18*g + 10. Let c(f) = -3*m(f) - 2*n(f). Let a(q) = -q**2 - 6*q - 13. Let t be a(-5). Is 21 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1881, 1880, 1879?\n\"Answer: -t + 1882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 296\/(9 + -17) + 8 - (14 - (29 + -7))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 110*h + 3360 = -4*h for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus -0.85?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 q when three letters picked without replacement from {h: 6, q: 4, c: 2, w: 3, i: 1}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1818 and -17891 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:14 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 12.1. Let v = -0.7 - k. Which is the second smallest value? (a) -0.1 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -889*n**4\/2 + n**3\/3 - 2*n + 61. Is m(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 6*c - 1. Let m be y(7). Suppose 2*n + m = 4*n. What is the highest common factor of n and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s. Let n(z) = 9*z - 1. Let u(q) = n(q) + 4*v(q). Is 17 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 220685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*a**2*t**2 - 3*a**2*t - 25394*a**2 + 129*t**2 - 2*t - 14841 wrt a.\nAnswer: 204*a*t**2 - 6*a*t - 50788*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 50. Let p(o) = o**2 - 1. Is p(l) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4024 and -133\/198.\nAnswer: 398376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 210*b + 382. Give o(103).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two ninths of a day?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -q + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -867759874992 and 0.6.\nAnswer: -867759874991.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1 + sqrt(19))*-6 - sqrt(19) - ((-4 + sqrt(19))**2 + 3).\nAnswer: -32 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/411 and -12\/38497.\nAnswer: 115491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/63)\/(18\/27)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*y**2 + 7*y - 7*y to g*y + t + s*y**2 and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-6)\/(36\/(-33)). Let i be (-2)\/k - (5 + 423\/(-88)). Let y = 3.89 + 0.11. Put i, -2, y in descending order.\nAnswer: y, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -h + 3*f, 0*h = -4*h + 2*f + 6. Let a = 18 - h. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*x**3 + 1\/6 + 1\/6*x - 1\/6*x**2.\nAnswer: -(x - 1)*(x + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 + 19. What is the remainder when r(0) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -27*r - 1. Calculate the least common multiple of j(-3) and (8\/76)\/(-1)*-19 + 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4058575 to the nearest integer?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3984 - -4013. Solve 51 = 40*c - w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/51? (a) -2 (b) 2 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - m - 162404241, 12 = -0*m + 3*m. Let p = -786459 + 10967308. Let k = p - j. Round k to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/12 - 8*p**2. Let l(o) = 2*o. What is 6*l(g) + 7*u(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188891082 - -188891104.2000109. Let x = -0.0508 + -22.1492. Let m = x + t. Round m to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -8\/4137513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 61*y**2 + 51*y - 5. Let p(j) = -13*j**2 - 2*j - 1. Let b(n) = o(n) + 5*p(n). Determine b(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -24859.\nAnswer: 99436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 3*z, x - 2*z - 7 + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlyi when four letters picked without replacement from ltmttllyttttyimtttl?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.27 or 1482879?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*z = -64, -5*g + 13*z - 17*z = -80. Solve -98*w = -114*w + g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/5, 9, -1\/12, 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l + 77. Let i(x) = -10*x. Calculate i(f(t)).\nAnswer: 20*t - 770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*h**2 + 164*h**2 - h + h + 190*h**2.\nAnswer: 269*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 7*f - 6. Let o be l(-8). Let t(d) = -2*d - 62. Let m be t(-31). Solve 2*u - 5*u = k + 2, -o*k + u + 10 = m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6615 and 4?\nAnswer: 26460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 25. Let m be o(0). Let k(b) = -m*b + 25*b + 8 - 2*b**3. Let z(s) = s**3 - 3. Calculate -3*k(v) - 8*z(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6052*f**3 + 4862*f + 20980241 wrt f.\nAnswer: -18156*f**2 + 4862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2898 - 55*q - 2898)*(-69 + 108 - 62 + q).\nAnswer: -55*q**2 + 1265*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - (-8 + 3 + 15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 12:23 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 809.521 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(14) - 2*sqrt(14)))\/(-2*sqrt(567) + sqrt(567)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 + 190 = 6*o. Let x = o + -117. Solve 5*l + 4 = -x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 7, -10\/3, -2\/63043 in increasing order.\nAnswer: -10\/3, -2\/3, -2\/63043, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*g - 3, 2*g = 5*v - 0*v + 8. Let n(a) = 3 - 4 + 4*a + 3 + 33*a**2. Does 13 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 8886 + 208032. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/4*(-2)\/(-6). Which is bigger: d or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 112*x**2 - 203*x + 2217. Calculate y(-110).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41\/2 - -209\/10. Let u = -47\/30 + s. Let y(d) = d**3 - 4*d**2 - d + 3. Let t be y(4). Is t greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2553*k**4 - 523*k**3 + 3154409 with respect to k.\nAnswer: -10212*k**3 - 1569*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*g = -0*f, 2*f + g = 0. Let s(r) = r**3 - r**2 + r + 2. Let a be s(f). Calculate the greatest common divisor of 5 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 + 47*x - 4*x - 42 to y*x + r and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*g + 97*g = -64. Suppose 13*o = g*o + 3295. What are the prime factors of o?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (8 + -13 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -2*w + 26. List the prime factors of 554\/18 + 12\/w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s - 0. Let l(n) = -23*n - 111. Suppose 0 = 6*h + 3*h + 45. Let t be l(h). Solve -s*p - t = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 74, 214, 344, 458, 550, 614, 644, 634?\n\"Answer: -p**3 + p**2 + 144*p - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232332 + 13?\nAnswer: 1233011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-486*m - 1399*m - 29991 + 29993)*(-3 + 0 + 1).\nAnswer: 3770*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(2\/(-4)). Suppose 4*h - 5*h - 4*i = 14, -20 = 4*h + 4*i. Suppose 0*w = w - 3. Put h, w, f in decreasing order.\nAnswer: w, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 2*w**2 - 2*w**2)*(-6 + 6 - 18*w**2).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31395127 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3289560 divided by 822390\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -707*p - 95 = -706*p - 5*i, -2*i = -8*p - 44 - 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0034 and 42?\nAnswer: 41.9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -4*m - 3 + 1\/2*m**2 + 2\/3*m**3. Let g be r(-2). Solve g*p + 1 = -7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -6841.\nAnswer: -1\/6841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 3*n + 6*n)*(-7*n**4 + 2*n**4 - 2*n**4).\nAnswer: -35*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377057 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -25222 and -113176317.\nAnswer: -113201539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 5, y: 5}. Give prob of sequence yyb.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 + 3*k - 8. Let s be z(6). Let h = s - 6. What is the units digit of 19 + -2 + -1 + h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*38625074.\nAnswer: 1931253.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10*b + 3. Let p(y) = 0 - 7*y + 0 + 0 + 2. Give 7*p(w) - 5*z(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*f + q, 2*f - 3*q + 2*q = -11. Let l be 876\/21 - f\/28. What is the common denominator of 56\/5 and 4\/2 + l\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 36*q**2 + 2*q + 1. Calculate the remainder when t(-1) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvqqqvvvqqq. What is prob of picking 1 q and 1 v?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 26019609128304*m + 26019609128304*m + 3*m**2.\nAnswer: 3*m**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6838520 is divided by 1367682.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 8*f = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -620*q + 3. Let n(w) = -4*w - 25. Give f(n(g)).\nAnswer: 2480*g + 15503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**2 + 66*d + 193. Calculate b(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 1376?\nAnswer: -1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319 + 320. Sort 2, 2\/1021, f.\nAnswer: 2\/1021, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4*b + 8 = -2*y, b = 4*y - 17. Suppose -28*r + y*r - 276 = 0. Which is greater: -38\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -16*w - 219 - 408 - 77 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnnycwnlwddnc. Give prob of picking 1 w and 1 n.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403953933?\nAnswer: 3, 134651311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.95 * -0.09.\nAnswer: 0.0855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 17. What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 3*w**2 + w - 2. Let v be m(-2). Solve 21 = -5*k - u, v*k = 5*k - 4*u + 41 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72684 less than -72598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995\/(-30)*8\/28?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/8)*d*d**(2\/33)*(d**(2\/5))**(2\/61) assuming d is positive.\nAnswer: d**(56261\/80520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -648*z - 1773 - 11835 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 210790 to the nearest 1000.\nAnswer: 211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.03 - 9. Let g = 0.07 + i. Is -1\/2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three quarters of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23662133*z**2. Let p(i) = 2*i**2. Determine p(d(j)).\nAnswer: 1119793076219378*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 168*q + 497. Let n be s(-3). Factor 3\/2*p - 3\/8*p**n + 15\/8.\nAnswer: -3*(p - 5)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - d**3\/3 + d + 1. Let s(f) = 5 - 1 - 2 - f**2 - 8*f**3 + 10*f**3. Calculate 3*g(l) - 2*s(l).\nAnswer: -l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -28*j - 97. Let q(u) = -7*u - 24. Let d = 25 - 23. Let i(v) = d*o(v) - 9*q(v). List the prime factors of i(9).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -13. Let q be -7*(-3)\/((-105)\/50). Let g be (20\/3)\/(-10)*6\/q. What is the third smallest value in 0, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 46\/(-8). Let m = -267 - -272. Solve -j = -m*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 73, 2, 1 in ascending order.\nAnswer: -1, 1, 2, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let o(s) = s + 1. Let u be o(n). Let r = 6\/7 + -5\/14. Which is the closest to u? (a) r (b) -3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -207, -226, -245?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*w - 3*s - 4, 4*w + 4*s = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2562 is divided by 758?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or 10685?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14215320254 - -3?\nAnswer: 14215320301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 3\/2, 585\/7, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-545*o**2 + 4*o**3 + 596*o**2 - 2*o**3)*(-2 - 2 + 3).\nAnswer: -2*o**3 - 51*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*18\/4*(-44)\/(-22). What is the units digit of (3\/(-6))\/(r\/108)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-2 + 0 + 3)*(3*z + 5*z + 0*z)*(z**2 - z**3 - z**2).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1913069, 1913071, 1913073, 1913075, 1913077?\n\"Answer: 2*f + 1913067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13.8898 (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 17 - 4*w - 7.\nAnswer: -4*w - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3210 is divided by 230?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1881 and 441826?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 42121?\nAnswer: -42132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*v - 36482599 = 49*v - 62*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3246908?\nAnswer: 2, 7, 61, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-258999)\/(-348) + ((-9)\/4)\/(-3). Let a = 2237\/3 - q. What is the smallest value in 3, a, -3\/2, -1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -79, -2, 3\/4 in increasing order.\nAnswer: -79, -2, -1, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + 25*m - 8*m**4 - 38*m - 32*m + 34*m + 2 + 23*m + m**2 in the form c*m**2 + v*m**4 + r*m + q*m**3 + x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/10 and -91\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14710, 29381, 43984, 58483, 72842?\nAnswer: 87025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3073 is divided by 1009?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:16 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*g + 23658938 + 54141047, 2*w = 3*g + 77800009. Round w to the nearest 1000000.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-40))\/(3\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 62 = -3*u, -2*n = 4*u - 21 - 95. Let r = n - 26. Calculate the smallest common multiple of 6 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -16\/51*k**3 - 3\/170*k**5 + 103*k**2 + 0*k - 2\/17*k**4 + 0. Factor p(d).\nAnswer: -2*(3*d + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (40 - -6 - 35).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 635?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-27)\/(-12) - (-759)\/276. Solve -x = l, 4*f - 28 = 2*x + 2*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*(19 - 22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 + 39*g**2 + 30. Calculate n(13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 495*s**2 + 499*s**2 - 1491*s**2 - 815*s + 498*s**2 in the form q + u*s**2 + z*s and give z.\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149151438 and 918?\nAnswer: 447454314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let t(a) = -5*a. Let o(l) = -l**3 - 18*l**2 - 14*l + 26. Let c be o(-17). What is c*m(y) + 4*t(y)?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*v - 8, 3*v - 3 = -5*p - 1. Which is bigger: v or -20\/363?\nAnswer: -20\/363","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 105. Let l be (1260\/(-189))\/(4\/(-6)). What is the greatest common factor of l and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 11*g**3 + 9*g**2 - 900*g - 7. Find the first derivative of h(s) wrt s.\nAnswer: 66*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (5 - 2) + 1789. Suppose -3*w + 9*w = k. Calculate the remainder when w is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.77 + -6.7. What is the third smallest value in 1, g, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666223949 to the power of 1\/3, to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87564 is divided by 357?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1600, 3195, 4792, 6391?\nAnswer: 7992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1394 = -15*a - 29. Calculate the remainder when a is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 11*u**2 - u + 5. Let w be o(-11). Let q = -11 + w. Suppose q*z - 3*z - 306 = 0. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -10 + 2 + -1 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, f: 2}. Give prob of picking 1 h and 1 f.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z\/((z\/(z**3*z)*z*z)\/z))\/z*z**4)\/((z**7\/z)\/(z*(z*z\/(z**(-3)\/z)*z*z*z)\/z)))**38)**(17\/4) assuming z is positive.\nAnswer: z**1615","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1144 - -1133. Let v = -9 - -8.7. Which is the closest to 1? (a) v (b) x (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 2*d**7\/21 + 3*d**6\/10 + d**5\/10 - 2*d**4\/3 - d**3 - d**2\/2 + 5*d. Factor u(p).\nAnswer: (p - 1)*(p + 1)**3*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73.9 - -1.9. Let u = 108 + r. Let t = 36.000018 - u. Round t to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437863.\nAnswer: 7, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 2. Let q be d(-1). Suppose q*s = 85 + 27. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 12. Let t be c(-10). Suppose -5*w + g = -3, -3*w + 5*g - t = -17. Let y be (-6)\/4*36\/27. Put 1, y, w in descending order.\nAnswer: 1, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + o**2 + 3 + (o + 0*o + 0*o)*(-2 + o + 2) + 0 + 0 - 2*o + 4*o**2 - 5*o**2 + 5*o**2 - 2*o**2.\nAnswer: 4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in 2, -4, -1833, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + 2*d. Let m be i(-2). Suppose -7 = -9*n + 11. Suppose -4*f + 12 = n*k, -9*f + 2 = -11*f - 3*k. Solve w - m = f*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5366*f = -2408*f - 88740 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -16, -22, -28, -34?\n\"Answer: -6*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -8*i**5 + 84*i**4 - 300*i**3 + 340*i**2 + 228*i - 504 = 0.\nAnswer: -1, 2, 3, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 55. Let f(d) = d**2 + d - 1. Let h be f(-3). Solve -4*b = -c - j, 2*c = -h*b + b + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 11*q**2 + 2*q - 12. Let o(p) = p**2 + 3. Let y(u) = -3*u**2 - 18. Let n(a) = -6*o(a) - y(a). Calculate n(x(d)).\nAnswer: -1452*d**2 - 264*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 11. Let v be y(14). Suppose 5*t - 105 = -5*z, -4*t + v*t + 41 = 2*z. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*d = -32 + 13, -2*d = 8*f - 34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by -1\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346462.\nAnswer: 2, 211, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.016 + 0.016. Let y = 5 + -4.6. What is the third smallest value in 5, y, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-12)*17\/(-340)*1\/(-1)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -45 - 27. What is the smallest common multiple of 6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfcc when four letters picked without replacement from {n: 1, m: 1, q: 1, f: 3, c: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15781, -31543, -47305, -63067, -78829, -94591?\n\"Answer: -15762*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n + 3*x - 12, 5*x = 20. Solve 3*j = -n*j - 12, -4*w + 3*j = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x - 11*x - 39*x + 3 as t + n*x and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*f + 1951 = 0, 3*c - 2497 = 4*f - 540. Let w = c + -644. Solve -w*y + 0*y = -28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9783284?\nAnswer: 2, 7, 349403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 10:29 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + b + 1, 4*b + 7 = -5*x + 5. Suppose -l = x*d - 635, 1336 = 4*d - 3*l + 51. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/48 and 59\/564.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520, -1044, -1594, -2182, -2820?\nAnswer: -3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 9171, 30577, 72163, 140655, 242779, 385261, 574827?\nAnswer: 818203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(2\/(-44)). Suppose q = t - 6. Calculate the remainder when (37 + -38 - (-123)\/6)\/((-6)\/(-20)) is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 477 + 477.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Let b(q) = -38*q**2 + 4*q**2 - 2*q**2. Give x(b(k)).\nAnswer: 1296*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 8. Let k(h) = 4*h**3 - 3 + 0 - 5*h**3 - 2. Give -8*k(a) - 5*q(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.227 - 40.627. Let h = n + 39.345. Round h to 2 decimal places.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55256*a + 288429 wrt a.\nAnswer: 55256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 3003?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.14799 + -23.8\nAnswer: -20.65201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 26. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19340729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 5*x**2 + 5*x - 9. Let g be q(-6). Calculate the lowest common multiple of 6 and 150\/9 + (-1)\/g.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -43. Is x != 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 13. Let m be p(-7). Let r = m + 8. Let h(z) = 0 + 0*z - z + r*z + 3. Let b(u) = -2*u - 7. Calculate 6*b(y) + 14*h(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 869080 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 3*b + 22. Determine o(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwqwwwqqqwwwwqqqqw. What is prob of picking 2 w?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 bigger than 1653\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-15)*(-6288)\/524\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 270. Let h = 299 + z. Find the common denominator of h and -5\/83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134001428521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/21*-2 + (-230)\/(-3). Calculate the greatest common factor of a and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2, 1\/334, 32.2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = 184. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36654 + 42035 - 52*t + 39*t + 17*t.\nAnswer: 4*t + 78689","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 9*w**2 - 3*w + 10. Let m be 15*2\/12*2. Let l = m + -10. What is the hundreds digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-3\/5)\/c*c*c)\/c)**(38\/7)*c\/(c\/(c\/(c**(1\/4)\/c)))*(c\/(c*c**(-2\/7)))\/c)**(3\/8) assuming c is positive.\nAnswer: c**(1347\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/((-2)\/6). Suppose -2*n - 9 = -5*z, h*n + 2*z = 5*n. Let r = -68 + 72. Sort n, -2, r.\nAnswer: -2, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 25 - 5. Let o(l) = -l**3 + 5*l**2 - 4*l + 4. Let t be o(6). List the prime factors of t\/f + 2\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44)*2.\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2950763 and -0.6.\nAnswer: 1770457.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54338 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8\/5)\/t*t*t)\/(t\/t**(-15)*t))**47 assuming t is positive.\nAnswer: t**(-4136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 5*v + 2. Let g(m) be the second derivative of -1\/12*m**4 - 1\/3*m**3 + 0 - 1\/2*m**2 - 19*m. Give 2*f(n) + 5*g(n).\nAnswer: -3*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 10*w - 9*w - 24, -3*v - 33 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 2 (b) 1\/2 (c) -2\/15 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18687 is divided by 18673?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-10)*(-4)\/(-3). Let h = 16 - j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - 242 + 3945*x - 16941*x.\nAnswer: -12996*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -13*p**3 + 2*p + 5. Let r(d) = 1311 - 2615 + 7*d**3 - d + 1301. Give -10*r(z) - 6*y(z).\nAnswer: 8*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:38 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*w + 114, -32 = -w - 3*x + 25. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hrrhzhrrzzhhrrz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) -0.59 (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 617 - 616. Determine h so that 2*h**2 + 5\/2*h - 3\/2*h**3 - z = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1134503, 1134500, 1134497, 1134494, 1134491, 1134488?\n\"Answer: -3*f + 1134506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w + 3*v - 541, 4*v = -2*w - 254. Let m(r) = -35*r - 9. Let c be m(-6). Let x = w + c. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -1\/105*j**7 + 1\/24*j**4 + 0*j - 7\/3*j**3 - 7*j**2 - 3 + 0*j**5 - 3\/40*j**6. What is the second derivative of m(x) wrt x?\nAnswer: -24*x**2 - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 221411?\nAnswer: 221412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-96))\/(1001\/(-1287)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2. Let g = 3461 + -3444. Let s(w) be the third derivative of -1\/20*w**5 + g*w**2 + 0*w + 0*w**4 + 0*w**3 + 0. Determine m(s(b)).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 2*o + 12. Determine z(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05956862 to 3 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2854091 (base 10) in base 3?\nAnswer: 12101000002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*k + 68 = 16, v + 5*k = 21. Let b be (72\/27)\/(2\/18). Suppose -5*h + 79 = b. What is the remainder when v is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/90*-3 - 48\/10. Let f(s) = s**2 + 8*s + 17. Let p be f(z). Solve 0 = 3*o - p*a + a + 2, 0 = 5*o + 5*a - 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344210000 rounded to the nearest 1000000?\nAnswer: -344000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:22 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 13. Determine b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:43 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008530358 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 100. Let n be l(24). Let d(i) be the third derivative of -2*i**2 - 2\/3*i**3 + 1\/12*i**n + 0*i + 0. Give d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v - 1. Let r be ((-21)\/35)\/(6 + (-984)\/160). Let z(i) = 27*i**2 + 4*i + 4. Determine r*d(j) + z(j).\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from fsasasfsa.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1195 = 4*f, 2*v + 129 - 923 = -4*f. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Suppose -n*h = 2*o - 3*o - 5, 4*o = 3*h. Let s(d) = 2*d + 1. Let a(u) = -2*u - 2. Give h*s(f) + 3*a(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -18.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.07656282?\nAnswer: -0.07656282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -17*n**2 - 160*n + 375. Determine q(-11).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 3. Determine u(-24).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62489628 divided by -6.\nAnswer: -10414938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*y**3 + 2 + 3.\nAnswer: 6*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 0 + z**2 + 0*z**3 + 0*z + 0*z**7 + 1\/20*z**6 - 1\/112*z**8 + 0*z**5 - 1\/8*z**4. Let g(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5247997*a**3 - 4*a + 969638 wrt a.\nAnswer: -31487982*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 4*i**2 - 4*i + 6. Let f be t(-5). Suppose -r = -0*r - f. Solve -r = 5*y + 24 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76) + sqrt(76) + sqrt(76)*1)**2 + sqrt(76) + (sqrt(76) + (sqrt(76) + -2*sqrt(76))*3)**2 + -3.\nAnswer: 2*sqrt(19) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 39372, 39376, 39382, 39390, 39400?\n\"Answer: w**2 + w + 39370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 = 3. Suppose d*q = 2*o - 24, -9*o = -5*o - 2*q - 46. What is the remainder when 18 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -9. Calculate the remainder when 58 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 1. Let d be i(2). Let v be 3\/15 + (0 - 34\/d). What is the third derivative of 8*q**4 + 6*q**4 + v*q**4 - 4*q**4 + 23*q**2 wrt q?\nAnswer: 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52845833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*x + 321 + 749, -3*x - 2145 = -4*o. Suppose 0 = -2*t - t + o. What is the highest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-1 - (4 - 3). Let u = 5 + k. Let x(q) = -q - 2. Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -232, -385, -554?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/5 - 108*y**3\/5 + 107406*y**2\/5 + 11798136*y\/5.\nAnswer: -2*y*(y - 252)*(y + 153)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50901 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.2. Let h = 0.2 + r. Which is the third smallest value? (a) -5 (b) -1\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 35*i - 46935 = 0. List the prime factors of i.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1151 divided by 668\nAnswer: -1151\/668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 2 + 0*l**2 + 0*l**4 + 0*l - 1\/3*l**3 - 1\/30*l**5. Let z(q) be the third derivative of x(q). Give z(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - -4. Let d be ((-9)\/(-12))\/((-1)\/(-4)). Suppose -d*u + 0 = 12. What is the closest to -0.1 in o, 3\/5, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 11:47 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6 - (4 - (22 - 28))) + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 19*h**3 + 6*h**2 + 123*h - 249. Calculate n(2).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-750)\/(-75)*(-1)\/(-2)*1. Solve -3*v - 8*o - 12 = -5*o, -20 = -v + k*o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 + 8*a - 6. Let y be (3 - 6) + 7 + 1. Let n(k) = -5*k**2 + 9*k - 7. Give y*n(i) - 6*p(i).\nAnswer: -i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 0 - (-88)\/11. Find the second derivative of x - 6*x**f + 0*x**5 + x**5 - 4*x**5 wrt x.\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(0 - 180\/8). What is the greatest common divisor of 30 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.4*-75387\nAnswer: 1613281.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 - 758*r - 23221. Determine l(-217).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5353*p + 2. Let t(v) = -20*v**2. Calculate x(t(d)).\nAnswer: -107060*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 106*y**2 + 1290*y - 286. Calculate k(92).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 36. Is 10 a factor of 48\/18*v\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 49 - 6*l + 1\/4*l**4 + 2*l**3 - l**2. Let h = 0 - 6. Give g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.3898168 and 57.\nAnswer: 63.3898168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 - c - 2. Let u be t(0). Let d(b) = b**2 - 1. Let a be d(u). Let k = -2 + a. Sort k, 0, 2 in increasing order.\nAnswer: 0, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/15 + 4*s**3\/15 - s + 1. Let f(k) be the first derivative of q(k). Factor f(y).\nAnswer: 4*y*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519*b**3*i**3 + 2*b**3*i + 4*b**2*i + 214*b + 305*i**3 + 7*i + 2 wrt i.\nAnswer: -3114*b**3*i + 1830*i","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 {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41680*d**2*k*q*u**3 - 117*d**2*k*u**3 + 3*d*k*q*u**2 - 3*d*k + d*q*u**2 + d*q + 112*d*u**3 - 142*k*u**3 wrt d?\nAnswer: 83360*k*q*u**3 - 234*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/((-5280)\/693))\/(4\/5)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/72*(-3)\/(-15)*344.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3704691 rounded to one dp?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -177, -63, 2\/19, 0.4 in descending order.\nAnswer: 26, 0.4, 2\/19, -63, -177","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 36. Let k(j) = 14. Let l(a) = -3*h(a) + 8*k(a). Let v(x) = 291*x - 192. Let z(n) = -5*l(n) - v(n). Differentiate z(u) wrt u.\nAnswer: -291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = 5*q + 17, -5*k - 4*q = 0. Solve k*f + 18 = v, -4*v + 5 = -5*f - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05303455 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 - 11 - 31*v**4 - 2*v**4 wrt v.\nAnswer: -132*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560897 divided by 68.\nAnswer: -560897\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002651?\nAnswer: 3, 13, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162058943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yypybbbbyybbb. Give prob of sequence yp.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3333686438?\nAnswer: 2, 67, 24878257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13682 + -11107. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 6*t - 6. Let p be n(-4). Solve -2*g + 3*g + 5*h = -21, p*h = -4*g - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 38 = -y, 34 = b - 4*b + 5*y. Let k = -11 - -7. Let i = k - b. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(8))\/sqrt(4) - (sqrt(5)*-4 + 3) - 2*(sqrt(5)*-3*-4 + 1).\nAnswer: -19*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -252*d*r*x*y - d*r*y**3 - 2*d*x*y**2 - d*x - 26*d + 36*r*x*y + 2*x*y**3 + 141*x*y**2 + x*y wrt r?\nAnswer: -252*d*x*y - d*y**3 + 36*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*s**2 - 9*p**2*s**3 + 184*p**2*s**2 + 220*p*s**2 + 15*s**3 wrt p?\nAnswer: 12*p*s**2 - 18*s**3 + 368*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(1700) - (sqrt(1700) - ((-2 + sqrt(1700) - sqrt(1700)) + -3))) - -1*sqrt(1700)*4*3)**2 + 4.\nAnswer: 3600*sqrt(17) + 245031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2231.7.\nAnswer: -2226.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - 6652034331?\nAnswer: -6652034432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1453 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253248.6s in nanoseconds?\nAnswer: 253248600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(448) + sqrt(448))**2.\nAnswer: -32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -11, -6, 4403, 4 in decreasing order.\nAnswer: 4403, 4, -3, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(-2*l - 51 + 52 - 3*l**2 + 4*l**2).\nAnswer: -3*l**2 + 6*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506 + -5593\/11. Let l = 443\/176 + i. Is l at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r + 2*b - 1674 = 0, -5*r = 160*b - 156*b - 91 - 107 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 0.1. Let k = p - 0.09. Let z = k + -0.1. What is the third smallest value in 0.5, z, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hchcmummchoxch. What is prob of picking 2 m and 1 o?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**4 + 5*t**4 - 3*t**4 + 6*t**2 + (2 - 2 - t**2)*(-t**2 + 0*t**2 - t**2) as v + c*t**2 + h*t**3 + o*t**4 + q*t and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 37. Calculate the smallest common multiple of y(9) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 104*j**3 + 1 + 0 - 103*j**3 - 3*j - 12*j**2 to the form i*j**2 + n*j**3 + v*j + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 10) in base 5?\nAnswer: -2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 + -498. Let x = g - -717. Suppose -8*o + 2*o = -x. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-60)*35\/(-18))\/((-2)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 896829921937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*184\/46.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570511 is divided by 114064.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6802 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 4*y**3 + 4*y**3)*(-2*y**2 - y**2 + 2*y**2) - y**4 + 29*y**5 - 2*y**2 - 65*y**5 + 37*y**5.\nAnswer: 3*y**5 - y**4 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 5:51 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*x + 7*n + 28, 4*x - n - 22 = 0. What is the second derivative of -p**5 - 4*p**5 - 2*p + p**x wrt p?\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 b when four letters picked without replacement from {r: 3, b: 3, k: 5, p: 5, h: 1, w: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 270965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -204 + 89 + 64 + -36\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13641288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105317, -420515, -945837, -1681283, -2626853, -3782547, -5148365?\nAnswer: -6724307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 5. Let h be i(-3). Solve 4*v = 3*l - 2, h*l = 5 - 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 12434, -2, 1\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (3 - 4)) + 12 - 3. Let k be (3 + -4)\/a*12\/(-8). Is k less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7296)\/(-405) - (30 + (594\/22 - 39)).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79, -160, -245, -334, -427, -524?\n\"Answer: -2*h**2 - 75*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 13*z**2 - 221 + 12*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1141812 by -1379.\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-2*2*-5)\/(4*(sqrt(320) + sqrt(320) + 2*sqrt(320) - sqrt(320))*-4).\nAnswer: -25*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 12*d + 46. Give f(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 12, -w + 85 = 3*l - 2*l. Let n(r) = -w*r**2 + 41*r**2 + 39*r**2. Let h(b) = -28*b**2. Give n(h(y)).\nAnswer: -784*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4 - 1. What is the third derivative of -8*v**3 - 8*v**g - 623*v**2 + 606*v**2 + 2*v wrt v?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -40. Suppose m = -8*f + 14. Let j(q) = -1 - 4*q + 2 + 0. What is j(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841 is divided by 311.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 528*j**2 + 11*j + 15. Let y = -198 - -287. What is the remainder when i(-1) is divided by y?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1\/7)*w\/(w*w**1*w))\/(w**(2\/5))**9 assuming w is positive.\nAnswer: w**(-121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*i - 15 = -82*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -146 and -1025\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -34*f + 16. Let d(h) = -7*h + 3. Let q be (-4)\/(-3)*1*(-11)\/66*9. Calculate q*m(l) + 11*d(l).\nAnswer: -9*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2257 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1764 and 252.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 560 and 720.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 105 = 2*p, 2*g - 3 = p - 48. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 + 568\/(-432) - 6\/(-1) and 93\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**3 - 190 + 190.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 - 8*a - 220. Let o = 858 + -856. Let m(x) = 6*x**2 - 8*x - 220. Let u(h) = o*m(h) - 3*d(h). Find the first derivative of u(p) wrt p.\nAnswer: -6*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:03 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2329, 2327, 2325, 2323?\n\"Answer: -2*i + 2331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -23\/2*s**2 + 192 + 0*s - 194\/3*s**3. Find the second derivative of l(u) wrt u.\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 386 by -628.\nAnswer: -193\/314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/70)\/(78\/(-260))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12023 or -12763?\nAnswer: -12763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q + 17. Let m be i(5). Let d be 0*(1 - m\/(-2)). Suppose d*a - 3*a + 87000000 = 0. Round a to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10273.\nAnswer: 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/(-48)*(-6)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 17773548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 2 = 13*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10754 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 2*w**2 - 5*w - 10. Let k(d) = -2*d**3 - d**2 + 4*d + 9. Determine 7*k(z) + 6*v(z).\nAnswer: -2*z**3 + 5*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 260771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3 - 97*d**2 - 5*d**3 - 90*d**2 + 75*d**2 + 10*d**5 - 2*d**3 wrt d?\nAnswer: 600*d**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1285900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30013 or 30009?\nAnswer: 30009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 44237.\nAnswer: 353896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/6 + 4)*6710. Suppose -10*p = -5*p - z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-20))\/(1 + (-32)\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3140, -6257, -9374, -12491, -15608?\nAnswer: -18725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*a**4 - 4383*a**2 + 13333592*a + 1?\nAnswer: -204*a**2 - 8766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -14, -9\/7, -215?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 11*u**2 - 11*u + 9. Let s(g) = 7*g**3 + 23*g**2 - 23*g + 18. Let m(i) = 9*h(i) - 4*s(i). List the prime factors of m(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -64330.8.\nAnswer: -64331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5397, -5421, -5415, -5367, -5265, -5097?\n\"Answer: 2*m**3 + 3*m**2 - 47*m - 5355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(3\/12))\/(-1). What is the units digit of 6\/(-9)*(-66)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -9523?\nAnswer: -9521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115265364?\nAnswer: 2, 3, 9605447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (24 - 25) + (1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/(21 + (-574)\/28).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*f - 363*f + 89726 = 277*f + 452*f for f.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*q = 22*q + 960 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, 3, -203, -0.05.\nAnswer: -203, -3, -2, -0.05, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n = 33*n + 158 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 1. Let t(o) = 3*o - 20*o**2 + 4 - 21*o**2 + 42*o**2 + 0*o. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -84, 3, 4, -0.1, 1\/4, 20\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*z - 5 = 0, t - 2*z = 9 - 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1050, 1099, 1182, 1299?\nAnswer: 1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10123695?\nAnswer: 3, 5, 367, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.8 - -14.3. Let o = -0.2 + -0.3. Let x = v - o. Which is the smallest value? (a) x (b) -0.1 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)*s)\/((s*(s**(1\/10)*s)\/s*s)\/s)*s**(-23)\/(s*(s*s\/s**22)\/s*s*s) assuming s is positive.\nAnswer: s**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114 + 98. Suppose -15 = -3*t + 6*w, -4 - 16 = -t + 5*w. Sort j, t, 4, 3 in descending order.\nAnswer: 4, 3, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 33*f + 947. Give t(-29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(128) - (2 + sqrt(128)))**2 + sqrt(128))*-5 - -2*(sqrt(2) + sqrt(14)\/(sqrt(35)\/sqrt(5)))).\nAnswer: -36*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - sqrt(624)*6)\/((sqrt(24) - sqrt(384))\/sqrt(8) + sqrt(3)) + 1*(1 + sqrt(1573)*2)**2.\nAnswer: 111*sqrt(13)\/2 + 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Let m be 0 + (0 - a\/3). Let u(q) be the first derivative of q**4\/4 - q**3\/3 + q**2\/2 + 4*q - 1. Determine u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, 26.\nAnswer: -15, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 1. Let m = 161129962.49999966 - 161129961. Let z = f - m. Round z to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 67534, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.0495 + -1.9495. Which is the closest to y? (a) -5\/12 (b) -2 (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0, 3, -59, 8\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d + 1. Let n be o(-2). Let q = 43 - n. Suppose 5*j - q = -4*b + 261, b - 257 = -4*j. What is the greatest common divisor of 26 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 60 = 6*d. Suppose -2*i - d = 188. Let n be (i\/(-12))\/(2\/(-12)). What is n rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from nttnttttnttnnttttt?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3 - 18*u - 3 + 16*u - 1. Let o be x(-4). Suppose -5*z - 5*h = -35, 0 = -z + 3*h - h - 2. Solve z = 3*l + o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 16*m + 13. Let j be h(-6). Let q = 16 + j. Solve -5*f = -0 - q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, -3, 127, 8 in decreasing order.\nAnswer: 127, 8, 0.5, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 55 = 7*n. Let o(l) = l**2 + 6*l - 4. Let u be o(2). Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 2514.\nAnswer: 47766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 42\/10)\/(90\/(-25))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 s when three letters picked without replacement from iiikuiks.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 39 = 127 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1170*g**2 + 170*g - 171. Let j be m(1). Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/11)\/y*y*y**(-1)*(y**(1\/2))**(-5\/8) assuming y is positive.\nAnswer: y**(-263\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 61 - t**2 + 1 + 31 as i*t + p*t**2 + k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 3*q - 2*q)*(-97 - 8 + 0 + 14).\nAnswer: 182*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**5 - i**4 + 10*i**3 + 7*i**2 + 5*i - 5. Let l(v) = -v**4 + v**3 + v**2 + v - 1. Let p(h) = 5*l(h) - o(h). Factor p(f).\nAnswer: -f**2*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321 (base 5) in base 9?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7409*v**4 - 6019*v**2.\nAnswer: -177816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h - 1 + 1. Suppose -6*a + 18 + 12 = h. Solve 5*y = -p + a, 11 = -5*y - 5*p + 36 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151384615967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0 - 1, -5*k - 637 = -2*r. Suppose -4*l - 3*t = -2*t - 441, 3*l + 4*t = r. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35998 by -878.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 20*x**2 + 13*x - 6. Suppose -260 = -6*y + 26*y. Does 14 divide h(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brxbcrupxbcccuxbbubx. What is prob of picking 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635 and 10024745?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/406 + -421\/2030. Sort 1\/15, 8, a in increasing order.\nAnswer: a, 1\/15, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1807*i**2 + 3229*i + 272*i**2 - 2 + 1832*i**2 + 2 wrt i?\nAnswer: 7822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q + 342 + 683 = 44 + 216 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**4\/24 - n**2. Let y(u) = 58*u + 68*u + 68*u - 182*u. Determine x(y(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 2\/3, 4, 17, 12 in decreasing order.\nAnswer: 17, 12, 4, 2\/3, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((84\/(-90))\/((-4)\/(-6)))\/(4\/880*4)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/2 - 18155*v**3\/2 - 36329*v**2\/2 + 272319*v\/2 + 326826 = 0. Calculate v.\nAnswer: -3, 4, 18157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249\/386 + 29148\/51917. Let d = -17369\/12 - -1459. What is the common denominator of j and d?\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0452 - -0.0266. Let n = f - 0.07. Round n to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150808101 to the nearest integer?\nAnswer: 12280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) 130 (c) -0.06 (d) 4.8 (e) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -99, 1, -4, 2\/15, 2, -2.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502, 1002, 1502, 2002?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/53*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -16188074?\nAnswer: 16188078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-14)*(-16 - 2). Suppose -3*f - 4*q + 108 = -216, 3*q + i = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40716750 divided by 162867.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 253849 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 152797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 + 13*k**3\/6 + 3*k**2\/2 + 20*k. Let i be h(13). Let w = 10 - 7. Solve 3*c = i*s - 9, 5*c - 15 = 2*s - w*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4952 divided by 2?\nAnswer: -2476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -7 + 2 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**5 - 4*b**5 + 0*b**5 + (-b**2 + 2*b**2 + 0*b**2)*(-b**3 + 2*b**3 + b**3) + 14*b**4 + 21*b**5 - 16*b**4 - 22*b**5 + 5.\nAnswer: 2*b**5 - 2*b**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:38 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5554*z = -9809*z - 706698 for z.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -6*l + 543. Let t = -31 + -37. Let p = l + t. Let u(g) = -g**2 + g - 1. Let n(d) = 5*d**3 - 5*d**2 + 5*d - 5. Calculate p*n(o) - 5*u(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1527182 >= -1527182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 489, 547, 607, 669, 733?\n\"Answer: j**2 + 55*j + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/11)*k*k*(k*(((k\/k**(-1\/54)*k)\/k)\/k)\/k)\/k*k*(k**8*k)**37 assuming k is positive.\nAnswer: k**(198785\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6001*j**2 - 2*j - 3. Let y be u(-1). Round y to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444886628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.9 + -585982081?\nAnswer: -585981308.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 32. Let v be o\/(-6) + 1 + (-56)\/(-3). Suppose -5*p + 30 + v = 0. What is the highest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 812\/(-98) - -8 - 132\/(-21). What is the highest common divisor of j and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 divided by -1?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let r = k + -2.6. Let p = 35567.65 - 35568.15. Which is the closest to r? (a) p (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*l - 12 = a + 608*l, 2*a - 6 = 2*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, 2, -3.49.\nAnswer: -3.49, 2\/29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhssrsmsrrmrmhmmr. Give prob of picking 1 h and 2 m.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 32 - (1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353062 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 3*l**2 - 6*l - 5. Let y be q(5). Suppose v + 38 = 5*u - 2*v, 0 = -2*u + v + y. Let s(k) = 2*k - 8 + 0 - 2*k**2 + u. What is s(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3034731, -6069468, -9104205?\nAnswer: -12138942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v**5 - 1\/6*v**3 + 0*v**4 + 0 + 1\/60*v**6 + v**2 + 0*v. Find the first derivative of j(c) wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 210468800 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 659*x**2 + 100*x + 303*x**2 - 99*x - 2682*x**2 as u + l*x**2 + o*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1170*z - 1171*z + 18*z**2 - 15*z**2)*(z + 4*z - 4*z) to the form l*z**2 + f*z**3 + n*z + q and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdfdrjjfxjddxrdrdrfg. Give prob of picking 1 j and 1 r.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2fb33 - a0f?\nAnswer: -30542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 5699957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydzggggyyzmymzzzgy. What is prob of picking 1 d, 2 z, and 1 m?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 97*f**2 - f. Let j be v(-1). Let d = j - 64. Let k = -23 + d. What is the remainder when 74 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909004.\nAnswer: 2, 227251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w**2 - 1. Let l(b) = 48*b**3 + 33*b**2 + 33. What is -2*l(o) - 66*n(o)?\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8263 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05857581 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - 0.232486\nAnswer: -0.932486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x + 3. Is 8 a factor of h(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let c(b) = 1543*b**2 + b - 693. Calculate c(s(d)).\nAnswer: 1543*d**4 - d**2 - 693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*p + 3*f, -22*p + 10 = -21*p + 9*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488847 is divided by 12534?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318800128.\nAnswer: 2, 3, 19, 158909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 1. Let b = 1 + -7. Let w = 2 + b. What is the units digit of g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -22*a - 1659. Determine d(-84).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -7773.\nAnswer: 2\/7773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 385\/110*(-3 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)\/n**0)**5 assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**16\/(w*w*w**(-2\/9))*(w**(1\/4))**21 assuming w is positive.\nAnswer: w**(701\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(112)*3 + 3)**2 - (5 + 2*sqrt(112) - (sqrt(112)*-2*4)**2)).\nAnswer: -53060 - 1696*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74616, 74621, 74622, 74613, 74588?\n\"Answer: -x**3 + 4*x**2 + 74613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 4 + 0*h + 2 + 2*h. Let g(v) = -16*v + 30. Calculate -2*g(p) + 11*o(p).\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 7 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(52)\/(sqrt(12)\/(-1*sqrt(3))).\nAnswer: -sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2\/m)**(19\/4)*(m**(-4\/3)*m)\/(m*m**(-9)*m))**(11\/3) assuming m is positive.\nAnswer: m**(1507\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n + 6. Let w(y) = 31*y + 11. Suppose 164*j = 172*j + 88. Let x(q) = j*v(q) + 6*w(q). Let u(f) = f + 3. Calculate u(x(s)).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -58*o**4\/7 + 3708*o**3\/7 + 5186*o**2\/7 - 75060*o\/7 - 5200\/7 = 0.\nAnswer: -5, -2\/29, 4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/49))\/i*i*i*i**(-2\/9)*(i*i*i\/(i\/(i**(6\/7)*i)*i))\/(i**(-19)*i))**(-1\/5) assuming i is positive.\nAnswer: i**(-2000\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/9 (c) -706 (d) -0.2 (e) 2 (f) -1\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 532934.6ug?\nAnswer: 0.0000005329346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455751, 911502, 1367239, 1822956, 2278647, 2734306, 3189927?\nAnswer: 3645504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 135\/15799774?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/479? (a) -2\/3 (b) -0.1 (c) 7 (d) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42250 + 42259. Suppose 2*b - 4 = -2. Calculate the least common multiple of a and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*z = -0*z + 14, 2*z = 4*r + 28. Let a(q) = -2*q - 3. Let k be a(r). Suppose 5*y - 3*d - 56 = 0, -2*y + 7 = 2*d - k. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49162 - -49161.70859. What is m rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 793*d**3 - 2 - 795*d**3 + d**2 + 18*d**4 + 0*d**2 to g*d**4 + h*d**3 + x + y*d + v*d**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/6)\/(6\/(-9)). Let z = 4 - y. Solve 0 = -5*d - 4*h - 3, 2*d + z*h = -h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*u, 0 = -4*j - 2*u + 114960. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z - 5. Let m be (-42)\/5 + (-10)\/(-25). Let w(v) be the first derivative of 7*v**2\/2 + 3*v + 9. Determine m*w(i) - 5*b(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -d. Let y(b) = 2*b - 7. Let r be y(d). Suppose r*t = 84 + 21. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 5, 2\/121, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398 greater than 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 - 1. Let l be y(1). Let h(n) = -n**3 + 4*n**2 + 7*n - 7. Let o be h(5). Solve i = o*p + 3 + 5, 5*p - l*i + 20 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -3. Let u = s - -10. Find the third derivative of u*m**2 + 4*m**2 - m**2 + 2*m**3 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r + 8*r + 23*r - 2 + 5.\nAnswer: 21*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63\/20 - -15\/4. Which is greater: p or -38?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + (sqrt(112) + 0 - sqrt(112)) + sqrt(112) - (-4 + sqrt(112) + sqrt(112)*6))**2.\nAnswer: 4029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*f**4 - 440615*f**2 + 5500832 wrt f?\nAnswer: -64*f**3 - 881230*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-117)\/120*1\/(-3). Let l = -1\/5 + s. Let u = l - 1\/2. Which is the second smallest value? (a) -4 (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 5*j**2 - 2*j - 7. Let d be l(-5). Suppose -20 = -8*a + d*a. Solve 12 = -a*g - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 n when three letters picked without replacement from wtwwwwwwwjwwntnw.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 21717639*f**3\/2 + 233523*f**2 + 1674*f + 4 = 0.\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-23 + -15 - -57).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4117220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21057 minus -2?\nAnswer: -21055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029910 rounded to the nearest ten thousand?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -6. Suppose 3*n - 20 = 7*n. Let a be (1\/(-3))\/(n\/30). Solve -q - 20 = 5*l, b = -5*l - a*q - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 8 = -l, -59*t + 65*t - l + 2*l - 25 = -9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.15609 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h + 1. Let g(u) = -u**3 + 4*u**2 + 10*u + 13. Let c be g(6). Let f(x) = -6*x**2 + 4*x - 4. What is c*f(n) + 4*p(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247\/596588 or 0?\nAnswer: -247\/596588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:16 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455251275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869.4464 months in millennia?\nAnswer: 0.1557872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 46 + 6 = 0. Let s(p) = a + 6 + 12 + 13 + 2*p. List the prime factors of s(-10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 2*p + 1. Let v be i(1). Suppose 2*f = -v*f. Suppose -4*b = 2*n - 58, -4*n = -5*b - f*n + 92. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhhxxhxxxhrxxrxxhh. What is prob of sequence hr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48462964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-190)*(956\/1195 + 1426\/(-1720)). Is 0 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 30. Let c be h\/(-25) + 96\/140. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1289 = 23*z - 160. Calculate the greatest common divisor of z and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.8 + 1.2. Let g = -0.004 - 4.996. Put h, 0.4, g in decreasing order.\nAnswer: h, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 16*w**2 + 11. Let x(i) = 11*i**2 + 5*i + 9. Let s(a) = -16*a**2 - 7*a - 13. Let z(c) = 5*s(c) + 7*x(c). Calculate 2*y(d) + 11*z(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 394 - 376. Suppose -r*h + 7 = -29. Calculate the greatest common factor of h and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3786 divided by 1.\nAnswer: 3786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26774 - 563?\nAnswer: 26211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 1, o: 1, m: 4, l: 1}. What is prob of sequence wel?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 12) in base 5?\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (9 + 9 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 78 = 50. Let c be (t\/80)\/(2\/50). Let v = c + -13. What is the remainder when v is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r + 3. Let h(q) = -q. Suppose f - 2*f - 4 = 0. Suppose -i + 2 = -k, -2*i = i - 3. Calculate f*h(v) + k*l(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 8, -105, -548 in descending order.\nAnswer: 8, 3, 1, 0, -105, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -234*l**2 + 127*l**2 + 222*l**2. Let r(s) = -6*s. Calculate p(r(a)).\nAnswer: 4140*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404 is divided by 276?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*27\/(-9270)*(-64)\/(-48).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:15 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156 and -202.\nAnswer: -31512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.75117 rounded to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 64. Let i be p(13). Does 9 divide (307 - i)\/4 - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04183985 from -161.\nAnswer: -161.04183985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 9*f**2 + 50*f + 235. What is l(-6)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 16*a**2 - 102*a + 100. Determine o(-21).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-6)*608\/(-12). Let y = k + 77. Which is the nearest to 0? (a) y (b) -1\/4 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -14. Suppose 3*f + o*t + 9428044 = 5*f, 5*f + 3*t = 23570084. Suppose -1114018 = k - f. Round k to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 30 = -5*y, 4*p - 4*y = 56. Suppose -p = -5*n, -n = 5*j + n - 29. Suppose -g + 2*g = 3*f + 286, 2*g - 517 = -j*f. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -31. Suppose -4*q + 4 = -3*q + y, 3*q - z = 2*y. Let u be (q - 4) + (0 - 1). Which is bigger: 12 or u?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1272, -2063, -2852, -3639, -4424, -5207, -5988?\nAnswer: -6767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-22)*(-4)\/2. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -725251 >= -18131247\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -2527.\nAnswer: -2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9727 divided by 4109?\nAnswer: 9727\/4109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(-1*sqrt(605) + sqrt(605) + sqrt(605)))**2 + (sqrt(55)\/(sqrt(33)\/sqrt(3)))**2 + sqrt(80)*1.\nAnswer: 4*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 18}. Give prob of sequence rd.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8*n = 48, -2*n + 5 = 3*h - 3. Put -5, -11, h, -12 in decreasing order.\nAnswer: h, -5, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*y = -2148*y - 1817*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8017790?\nAnswer: 2, 5, 11, 72889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29, 234, 779, 1832, 3561, 6134?\n\"Answer: 28*a**3 + 2*a**2 + 3*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 8. Let r be l(-4). Suppose 55 - 27 = r*x. Which is the closest to 2\/7? (a) -1 (b) -1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 18*x**2 + 134*x - 51. What is j(-9)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/8*98\/(-4). Is 48 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -11422?\nAnswer: -217018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (2 + 9 - 10 - -10)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 1. Let y = 27 + -30. Let h(b) = -b**2 + 4*b + 2. Let s(i) = y*f(i) + 2*h(i). Let n(r) = -r**3 - 7*r**2 + r + 5. Let t be n(-7). Determine s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51980 is divided by 8555?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3 - 276*a**2 + 1532*a - 1260 = 0.\nAnswer: 1, 5, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20716 is divided by 1717.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 58433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 + 18*r**3 + 6*r**2 - 12*r**2 - r + (5*r**2 + 0*r**2 - 2*r**2)*(3*r - 3 + 3) to b*r**3 + t*r + s + z*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 74 = -4*m, 6*m - 2*g = 4*m + 38. Suppose 13*t - m*t = -8. Factor -2\/5*s**t + 4\/5*s - 2\/5.\nAnswer: -2*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u, 4*u - 556 = -w - w. Let g = w - -27. Is 35 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -568*w**3 - 4*w**2 - 2*w + 78. Let t(b) = b**3 - b**2 - b + 1. Let r(z) = -p(z) + 2*t(z). Find the third derivative of r(j) wrt j.\nAnswer: 3420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150382 is divided by 208?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1161)\/(-1620) - (-2)\/24?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/9)\/((-55)\/66). Which is bigger: -2\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23100032 (base 4) in base 11?\nAnswer: -316a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8631406 is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let q = -115 - -60. Let h = q + 716\/13. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.3, 0.9, -779 in decreasing order.\nAnswer: 0.9, 0.3, -7, -779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 + 3*t**4 - 4*t**4)*((-3 - 3 + 4)*(1 + 2 - 2) + (2 + 1 - 2)*(4 - 25 + 2)).\nAnswer: -63*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5918 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - d + 6. Let w be v(-3). Let p(g) = g - 1. Let n be p(w). Let r = -203 - -200. Which is the closest to n? (a) 2\/5 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 41 (b) 0.3 (c) -3\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - h**2 - 9 + 9. Let g(n) be the second derivative of -2*n**3\/3 + 43*n. Let q(o) = -19*o. Let w(p) = -18*g(p) + 4*q(p). Calculate l(w(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7506b (base 13) to base 2\nAnswer: -110011100000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 21 = 5*f, b - 3*f - 4 = 11. Let o be b\/8 + 26\/8. Suppose 3*y = 2*y + o. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14635 and 54550499?\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 x when three letters picked without replacement from {s: 2, x: 3, z: 2, t: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24754 is divided by 4123.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7200 and 1732100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from hytmyahwmyattymyyt?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 - 7*d**2 - 4*d + 17. Let q(n) = 2*n - 11. Let w be q(9). Is s(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 5*y**2 + 3*y - 2. Let o be u(-4). Let h(l) = 7 - l + 3*l + 0*l**o + l**2. Is h(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/60 - 7*a**5\/60 - a**4\/8 + 2*a**3\/3 - 2*a**2. Is 27 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314154?\nAnswer: 2, 19, 34583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2843 - -108b2?\nAnswer: d06e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -11*a**2 + 107*a + 113. What is the hundreds digit of s(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7041.\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(-8)*30\/(-45)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -490*j**3 - 3845*j**2 - 1978*j**3 - 479 + 479 wrt j.\nAnswer: -14808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**2\/7 + 258*k\/7 + 264\/7.\nAnswer: -6*(k - 44)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*a + 15. What is the lowest common multiple of (a\/15)\/(9\/(-60)) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(3\/(-342)). Let w = 108 + g. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3750036761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 849385429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(2\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {e: 7, l: 4, o: 1, n: 1, w: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-10)*(-20)\/8. Let o(i) = -8*i**2 - 6*i + 40. Let h be o(5). Let q = 193 + h. Solve 14 = -4*s + 2*y, -q*s + k*y = 2*s + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftff when four letters picked without replacement from tfggtttfgfftftffft.\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3 - 323176*o**2 - 2908316*o - 4523960 = 0.\nAnswer: -80785, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -25. Let x = 19 - z. Let i(g) = -7 + x + 2*g. Let b(n) = n**2. Determine i(b(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16 - 8 - 12)\/(-2 + 0). Suppose 0 = 17*x - 18*x + 3. Suppose -22 = -2*u + u - 4*l, 0 = 4*u - l - x. Solve -k*o = u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, j: 9}. What is prob of picking 2 j and 1 m?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20687, -20686, -20685?\nAnswer: -20684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7751160 and 150120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11113525 (base 8) in base 9?\nAnswer: -4454435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 2*y - 14. Let p = y - -10. Let x = -4 - p. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-2 - (5 - (0 + -1 - -6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvrjvvxrvvjj. What is prob of picking 1 v and 1 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85481.67 weeks in minutes?\nAnswer: 861655233.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 566 = 3*f. Let x = -6 + 12. Suppose i = x*i - f. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 14*u - 11. Give r(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676*m**4 + 61191*m**3 + 337437*m**2 + 589680*m + 329508 = 0.\nAnswer: -339\/4, -3, -18\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2*(-9 + ((-36)\/(-32) - 107\/(-40)))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -20*b**2 + 6*b. Let q(s) = 41*s**2 - 13*s + 1. Let o(j) = -4*q(j) - 9*r(j). What are the prime factors of o(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6137 + 6160. Which is the fifth biggest value? (a) n (b) 2\/7 (c) 1 (d) -2\/9 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*h = -30 + 2, 4*d = 5*h + 30. Calculate the remainder when 13 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 9*y**3 - 516 - 17*y + 516.\nAnswer: -11*y**3 - 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 6*g**2 + 4*g - 6. Let t be h(-5). Let r be (-2 - -1)\/(t\/1). Suppose 0*f + 53 = 5*b + 4*f, b + r = 5*f. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2985 and 4876495.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 9. Let j = 0.23 - -0.74. Let f = r + j. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 12) to base 4.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 4616734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 247 - 2899 = 0. Suppose 840 = -140*n + c*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/160 and 59\/1188.\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -860338 by -37406.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let f be 6\/42 - (-2943)\/(-21). Let i be (5 + 2)*(0 - 8\/f). Which is the closest to g? (a) -0.4 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-276)\/18)\/(1\/(-3)). Let d = w + -43. Let a = 7.4 + -8. Is a bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -5. Let q = 10.08 - 9.78. Which is the closest to 0.1? (a) s (b) 7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 64*i**2 + 49*i + 18. Let u be w(10). What is the greatest common factor of u and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654753019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 254546\/4 - (3\/(-9))\/((-10)\/75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {f: 2, b: 7, a: 7, e: 2}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 5*u**2 + 6. Let c be v(-5). Let m be 16\/c + 12\/(-18). Find the third derivative of -g**2 + 4*g**2 - 4*g**2 + m*g**6 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1078 + -1077.6. Which is the fourth biggest value? (a) 2 (b) 14.2 (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -947 or -4731\/5?\nAnswer: -947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 6:49 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 4*v + 5 = 4*x, 10 = -3*x - v. Let c(f) = -2*f**2 + 2*f**2 + 7*f**2 + 3*f. Let t be c(x). Calculate the greatest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 3*k**5\/35 + k**4\/42 - 2*k**3\/7 - k**2\/7 + 14*k + 2. Let y(i) be the first derivative of c(i). Factor y(n).\nAnswer: 2*(n - 1)*(n + 1)*(6*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1269887717 - -1269887788.0000193. Let m = a + -71. Round m to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5207043 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*j + 5 = 0, -5 = -5*u - 4*j - 0*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 6. Suppose -107*s + 32 = -99*s. What is the smallest common multiple of m(0) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Suppose -f + 19 = 2*f - 5*r, 3*f + 3*r - 3 = 0. Suppose w = -j*w + f. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(8\/16)\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/12*40\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {l: 2, h: 2, z: 2, p: 3, v: 1, e: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (-21 - (-14 + -16))) + -95?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -949\/4 in -5\/3, 0.4, 0?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/41314 and 97\/168.\nAnswer: 495768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {t: 2, n: 3, h: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671773.\nAnswer: 373, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 493275442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -100, 432, 4, 3, 18.\nAnswer: -100, 1, 3, 4, 18, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = a + 2*n - 20477, 81823 = 4*a + 3*n. What are the prime factors of a?\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**5\/5 - 2*z**3\/3 + 103*z**2\/2 + 27. Find the second derivative of a(l) wrt l.\nAnswer: 24*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/3)\/(s\/s**(3\/10)))\/(s**2)**13)**(-42) assuming s is positive.\nAnswer: s**(5957\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.31 - -383.41. Let i = z - 317. Is i bigger than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjvj. Give prob of sequence jx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * -114\nAnswer: -330.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 44. Determine y so that 25 - 110*y + 15*y**3 - 13*y**3 + l*y**2 - 6*y**3 = 0.\nAnswer: 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*g + 413 = 0, 5*l = 4*l + 5*g + 122. Let j = l - 107. Solve j = -0*u + 5*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23506, -47013, -70520, -94027, -117534, -141041?\nAnswer: -164548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889?\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + 1 + (11 - 18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.011 + 42.989. Let z = -29 + u. Let r = z - 13.9992. What is r rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 25*n**2 - 7*n + 11. Let w be v(13). Suppose w*o - 66*o - 115 = 0. What is the highest common factor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -891, -962, -1349, -2052, -3071?\nAnswer: -4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 5, m: 8, v: 2}. Give prob of picking 1 v and 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(2\/33))**(1\/5) assuming z is positive.\nAnswer: z**(-4\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3712 is divided by 287?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 92602602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**14)\/o)\/o)\/(o**(1\/6)*o*o*o)*o\/(o*o\/(o\/(o*o**(2\/3))))*o**(-3\/5))**(-4\/3) assuming o is positive.\nAnswer: o**(1226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 4*k**2 + k - 2. Let w be o(-4). Let h = w - 30. Is 168\/h*114\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5530 and 126637.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.93 * 2.3978\nAnswer: -2.229954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*n + 10 = 0, -3*h + 2*n = -0*n - 9. Let l be 27\/18*(-4 - -2). Put h, -5, l in ascending order.\nAnswer: -5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/30 + r**4 + 31*r**3\/2 - 4*r**2 + 10. Is n(28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q + 29. Is 2 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 0.9487\nAnswer: 0.5487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115221 + -62605?\nAnswer: -211126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k + 3. Let t(s) = -24*s - 12. Let n(g) = g + 1. Let h(q) = -15*n(q) - 3*t(q). Let b(m) = -2*h(m) + 15*o(m). Determine b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1)\/(-13*5\/(-195))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 1, l: 2}. What is prob of sequence llm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -6\/13.\nAnswer: -6\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-20 - -6)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 2c46?\nAnswer: -2c3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 6. Let y(u) = -u + 11. Let t(b) = 11*v(b) - 6*y(b). Let d(h) be the first derivative of 3*h**2\/2 - 2477. Calculate d(t(x)).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 445, -4 in descending order.\nAnswer: 445, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 426, -3, -4\/5, 4, 1, 2.16 in descending order.\nAnswer: 426, 4, 2.16, 1, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -4 - 0 - (-12 + 17)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/5 + 20*x**3 + 2886*x**2\/5 + 5476*x\/5 - 557183\/5 = 0. Calculate x.\nAnswer: -37, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 50. Let m(d) = -2*d - 49. What is 5*m(g) - 4*u(g)?\nAnswer: 2*g - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 + 1274979460*p + 81278631171094580 = 0. What is p?\nAnswer: -127497946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8508 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*i + 19. 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: What is the smallest value in -2\/23, 4, 7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2. Let h be 0*(-1 - (-2 + 0)). Let y = 2 + h. Let u(q) = -3*q**2 + q**2 + q**y. Calculate c(u(w)).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 20687 = 65153. What are the prime factors of n?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1058 + -1050. Let g(i) = 1. Let u(a) = a**2 - 9*a - 1. Let r(t) = -6*g(t) - u(t). What is r(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 28, 13, -4, -23, -44, -67?\n\"Answer: -t**2 - 10*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -1. Let v be (10\/3)\/((-4)\/(-12)). Suppose -m - b + 14 = 2*m, -b = 2*m - v. What is the smallest common multiple of m and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52417 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 74253955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/((-36)\/(-24))*39\/(-6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 5\/740469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2232*m - 18426. Calculate c(-9).\nAnswer: 1662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 465240.\nAnswer: 3256680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 + 4*v + 34. Let l(y) = 5*y**2 + 3*y + 35. Give 4*l(j) - 3*t(j).\nAnswer: -j**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let f be (c - -173) + 6 + -9. Find the common denominator of ((-1)\/(-3) - f\/357)*-3 and -85\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280c8e (base 15) in base 5?\nAnswer: 443122314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/13 - 123\/(-39). Solve q + g*q - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1031 + -1030.86. Is r != 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b**2 - b + 76. Let f(u) = -2*u**2 - 7. Give f(v) + r(v).\nAnswer: 6*v**2 - v + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c**2 - 16*c. Let p(f) = f. Determine l(p(g)).\nAnswer: -13*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/6835304 and -111\/686?\nAnswer: 6835304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 282 + 269 = 3*t, 4*t = -3*d + 718. Suppose 2*w = 3*b + 361, t = 3*w - 2*w - b. List the prime factors of w.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/2 + 306095*p + 1836525\/2.\nAnswer: 5*(p + 3)*(p + 122435)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 + 356 = 5*o + z, 578 = 4*o - 2*z. What are the prime factors of o?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304 (base 10) to base 11\nAnswer: -a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4 + sqrt(1377) + sqrt(1377) + -1 + sqrt(1377) + sqrt(1377) + -4 - (-3 + (6*(sqrt(1377) + 0) - sqrt(1377)))))**2.\nAnswer: -90*sqrt(17) + 1402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -727*m*n**2 + 4*m*n - m*v + 2*n**2*v + 4268*n*v - 2*v - 8 wrt v.\nAnswer: -m + 2*n**2 + 4268*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5 = w, -2*s - 4*w - 88 + 64 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -15. Put -7, 6, p in decreasing order.\nAnswer: 6, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/2 + h**4\/2 - 7*h**3 + 13*h**2 - 19*h\/2 + 5\/2.\nAnswer: (h - 1)**4*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01155 - -197.6165.\nAnswer: 197.62805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(36\/(-12)))\/(-3). Let n(w) = 1 - 3*w - 2*w - 2 + w**3 + 2*w. Determine n(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-1)))\/((z\/(z**(-1\/4)*z))\/z) assuming z is positive.\nAnswer: z**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*j - 75*j - 24*j - 33*j - 26*j + 220*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5991 = 7*v - 4*v, -u + 2995 = -v. Let w be 43\/((-1)\/1)*u\/44. Let y = w - -2922. Find the common denominator of -19\/22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beninnbennnn. Give prob of picking 2 b and 1 n.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 26367 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and 399.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 10:12 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20292, 6 in decreasing order.\nAnswer: 20292, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4120 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/33 - (-4)\/(-6))\/(30\/(-610)) and 63\/400?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/20 + 23*p**4\/12 + 11*p**3\/6 + 5*p**2\/2 + 11*p. Is c(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*l**4 - l**3 + 45*l**2 - 7*l**2 - 1420*l**4 - 872*l**4 wrt l?\nAnswer: -52200*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639666.\nAnswer: 2, 3, 35537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/3*(8 + -1). Let n(s) = 6 + r - 9 - 3. Let q(g) = -3*g + 5. Calculate 5*n(p) - q(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 2}. Give prob of sequence lkl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48478.84m in nanometers?\nAnswer: 48478840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + x + 27 = 0, -4*p + 3*x = -4 - 22. Suppose -90 + 20 = -5*i + p*u, 3*u - 30 = -5*i. 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 the greatest common divisor of 1076 and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 290*a + 950. Let m(q) = 145*q + 476. Let y(n) = -5*m(n) + 3*r(n). What is the first derivative of y(j) wrt j?\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.267371 + -0.034859. Let d = 29.3 + m. What is d rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)\/((r\/(r*r*r*r\/(r**2\/r))*r)\/r))\/(r**(1\/2)\/r**4) assuming r is positive.\nAnswer: r**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-28)\/4))\/((-21)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 95 times -513129\nAnswer: -48747255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 311127628 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12237, 22612, 32987, 43362?\n\"Answer: 10375*z + 1862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iir when three letters picked without replacement from {r: 2, i: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 408845 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8934 + 12b?\nAnswer: -8805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*d - 2. What is the lowest common multiple of (0 + 2)*(15\/10 + 1) and (-4 - -34)*1\/d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5007.\nAnswer: 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 364 = 4*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.945 + 0.045. Let o = w + 8.9. Put -5, -0.1, 1\/5, o in ascending order.\nAnswer: -5, o, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17604 + 17609. Let v(y) be the third derivative of 0*y - 1\/25*y**w + 1\/350*y**7 - 37*y**2 + 0*y**4 + 0*y**3 + 0 - 3\/200*y**6. Let v(d) = 0. What is d?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11941.45 to the nearest ten.\nAnswer: -11940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Let u = 2.7 + -3. Which is the closest to 0.1? (a) -1 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*117113.\nAnswer: -3981842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fwwwwf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, -7, -38, -81?\n\"Answer: -6*l**2 - l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -14. Suppose -4*y + 151 = -4*x - 85, 4*x - 340 = -5*y. What is the highest common divisor of a and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1920 and 5720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -80. Let x = -49 - v. Let r = x + -22. Is r less than -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 15*y**2 + 13*y - 72. What is x(-8)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7817 or -36484?\nAnswer: -36484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 2*r**2 + 2*r**2 + 4 + r + 2*r**2 - 2 to t + m*r**3 + a*r**2 + w*r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + -47 + (-16 + 0 - (-80 - -55)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -3*sqrt(931)) - -3*((sqrt(931)*-2 + 3 - sqrt(931)) + sqrt(931)))**2.\nAnswer: -2184*sqrt(19) + 134233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -0.5, 0.07, -0.12, -15, 7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -11*m - 23, 27*i - 32*i = 3*m - 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1226, -1223, -1220, -1217, -1214?\n\"Answer: 3*h - 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6240 and 113\/156?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*z - 50. What is the nearest to -0.1 in z, 1\/6, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 132\/30 + -2 + 44\/(-10) + 4. Calculate the greatest common divisor of m and 770.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t + 11*t + 224 - 55*t + 26*t to the form y*t + j and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1599907 + 1.16. Round c to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 27 = 5*v, 3*v - 115 = 4*d - 9*d. Find the first derivative of -2*p**3 - 3 + 18 + d - 6 wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148 + 232. Suppose n + u = 3*g, 2*n + n - 28 = -g. Suppose 3*k - 65 = -2. Calculate the highest common divisor of k and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13586378500 to the nearest 1000000.\nAnswer: -13586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {j: 4, m: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 4*x**2 - 2*x - 5. Let i be p(-4). Sort -3, i, 1\/9 in decreasing order.\nAnswer: i, 1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 1759*w**3 - 1754*w**3 - 8*w**2 + 31 + 20*w**2 - 3*w to the form h*w**2 + k*w + g + a*w**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00306 to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/20 and -61\/74748.\nAnswer: 373740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-8)\/32)\/((1064\/(-96))\/19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2806*t + 143120. Give w(51).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 17*p**3 - 2 + 2 - 20*p**3 + 38*p**3.\nAnswer: p**3 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -5*x - 414. Let q = -51 - x. Suppose -o - 4 = -q. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62398203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or -136847?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.94843 nanoseconds to microseconds.\nAnswer: 0.05994843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 61*s**2 - 164*s - 331. Give j(-59).\nAnswer: 2383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/408 and -73\/204?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -317 - -330. Let d(p) = -5*p + 83. Let x be d(a). Solve 4*r - x = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 - (68 - 67)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2880*q - 6750 = 3150*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 3. Let m(u) = -u**2 + 3*u + 2. Let b(t) = 3*k(t) + 4*m(t). Calculate b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9453*b - 22619*b + 13150*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d + 228. Suppose 10*a + 2057 = 397. Let i = d - a. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**3 - 4*a**3 + 2*a**3 + 5*a**3 - 3*a**3 - a**3 + (4*a**3 - a**3 - a**3)*(-482 - 438 + 362).\nAnswer: -1113*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -45, -63, -77, -87, -93, -95?\n\"Answer: 2*t**2 - 28*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3\/5 - 1595688*u**2 + 5304737099196*u\/5 - 148526383746384\/5 = 0. What is u?\nAnswer: 28, 1329726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4218 is divided by 2010?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (-3)\/(-2) - ((-1)\/2 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95)*2*-4 - sqrt(95)))\/(sqrt(20)\/sqrt(4)*-4).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*g**4 - 7814664*g**3 + 62824688688*g**2 + 55848798720*g + 12411187200 = 0.\nAnswer: -4\/9, 16080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75168, 150338, 225508, 300678, 375848?\nAnswer: 451018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Let d(p) = -28222*p**2 - 1644*p + 411. Let b(h) = 274*h**2 + 16*h - 4. Let r(f) = 411*b(f) + 4*d(f). Give j(r(t)).\nAnswer: 548*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4618 is divided by 2303?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let m(i) be the first derivative of -i**2\/2 + 11*i - 134. What is m(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 2, p: 7, w: 2, x: 7}. What is prob of sequence wx?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*i + 785*i + 76 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2053.6 from 0.2.\nAnswer: -2053.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = -20. Let l = -10 + g. What is the units digit of 2\/(-1*6\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, k: 3, a: 5, j: 4, f: 1}. Give prob of sequence kfa.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 10. Let j be o(-1). What is the common denominator of -27\/32 and (-114)\/j*(-9)\/30*1?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000211927 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0 - f**4 - 6*f + 21\/2*f**3 - 2*f**2 - 3\/2*f**5 = 0.\nAnswer: -3, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 190, 360, 562, 790, 1038?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (63\/42)\/(-1*3)*(3 + -344257) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19502421 is divided by 641?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86.92 - -31.\nAnswer: -55.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38496 and 40?\nAnswer: 192480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73491599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6269*b**2 - 6269*b**2 + 12541*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/330 and 139\/5820.\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = r. Suppose 34 = 4*a + r. Solve a*f = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -n + 38, -4 + 85 = 5*s - n. Calculate the highest common divisor of s and 5882.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -9, 6658, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqrbqddqbb. Give prob of sequence dbb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23960 divided by -599?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1884*r**3 + 1883*r**3 + 3 - 3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -0.5 (c) -20 (d) -2\/7 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 2*d + 12. Let f be t(-2). Suppose f = -5*o + 5 + 15. Solve 0*u + h + 11 = o*u, 0 = 2*u - 3*h - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5170*i + 27819 + 1057*i - 27819 - 9027*i as u*i + t and give u.\nAnswer: -13140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b + 1. Suppose 0 = 5*f - 8 + 23. Let r = 2 - f. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*z = -42, -3*o - 3*z + 7*z + 38 = 0. Calculate the remainder when 27 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2 - 0. Suppose 6*f - 292 = w*f. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43345 = 5*k - 5*c, -3047 - 31671 = -4*k - 2*c. What is the highest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/29)*q\/(q**(18\/11)\/q))\/((q**(-25)\/q)\/q**(-8\/5)) assuming q is positive.\nAnswer: q**(39388\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1\/6, 4, -1\/98, 5, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.406488939 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 22*y**2 + 341*y + 84. Give x(11).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/45)\/(265\/2385))\/(2\/(-100)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -126. Let g = 49.00000023 + q. Round g to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((2 - 0) + -3). Suppose a + 2*f - 7 = x, -f = a - 11 + 5. Let t = -2.4 - -2. What is the second smallest value in -4, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -261*i*n**2 + 22*i*s + 2*n**2*s - 632*n**2 - 2 wrt i?\nAnswer: -261*n**2 + 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = -133*r + 2314 + 1478 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14411 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 11*k**2 + 11*k - 10. Suppose 5*i - 4*i + 12 = 0. Calculate the lowest common multiple of 4 and w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/((-2052)\/(-24)))\/(((-37)\/111)\/((-5)\/(-7)))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 42*a - 6. Suppose 8 = -2*d, -5*s + 5*d + 65 = -110. What is the remainder when b(6) is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = 4*w - 5*l, -21 = w + l + 67. Let p = 97 + w. Let a = 15 - p. Solve -3*y + 8*y - 5 = 5*i, 10 = a*y - i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -17\/15290 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from dddqdqddddqd.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**8\/20160 + p**6\/240 + p**5\/60 + p**2. Let a(q) be the third derivative of u(q). Find the first derivative of a(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/15)\/(3\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1957 - 21526\/11. Let r = -0.1 - -1.1. Which is the third smallest value? (a) q (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - (-8 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66234 and 440077620?\nAnswer: 9462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 21. Suppose y - m = 2*u, -4*y - 2*u = -y + 5. Suppose 5*i = -4*x + 40, 0 = -4*i + 2*x + x + y. Calculate the remainder when 19 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*k + 15, 2*q + k + 2*k = -3. Suppose -2324 = -7*f + q*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -15*l**3 - 2*l**2 + 2*l. Calculate u(2).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -337 (base 13) to base 15.\nAnswer: -26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 6681?\nAnswer: 6680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 11*x**2 + 16*x + 14. Let i be u(-10). Let k = -43 - i. Suppose 2*h - k*j + 27 = -0, 4*j = -h + 14. Is h smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 198*q + 42.\nAnswer: -198*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.5301 millilitres in litres?\nAnswer: 0.4925301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -18 - -15) + -29 - ((-4 - -20) + -6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdss. Give prob of sequence ws.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -207. List the prime factors of k.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + k - 1 + (1 + 1 - 4)*(k + k - k))*(45*k**2 - 25*k**2 - 16*k**2 + 9) to u*k**3 + h*k**2 + w*k + m and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7183459 minus 15.1?\nAnswer: -15.8183459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -281871134 - -2?\nAnswer: -281871132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0 + 1\/4*p**4 + 0*p**3 + 0*p**2 + 6*p. Factor a(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 13 - 5 - 33420*z**2 + 445*z**2 to k*z + x*z**2 + h and give x.\nAnswer: -32975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819514\/1199 less than 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 116055763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 144*i - 585. Calculate p(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/497 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003324056 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94708017 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 58 * 251.73\nAnswer: 14600.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*u = 346*u - 72 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t - t**2 + 2 - 27*t + 15*t. Let w be z(2). Solve -31*l**5 - 168*l**3 + 2*l**5 - 36*l**w + 13*l**5 - 100*l**4 = 0.\nAnswer: -3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t + 520 = 51*t + 18*t. Let v(a) = 7*a**2. Let u(m) = 14*m**2. Calculate t*u(g) - 7*v(g).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 - -0.66. Let g = -2.1 - -2. Sort g, f, 0 in increasing order.\nAnswer: g, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -39*h + 145. What are the prime factors of c(-8)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/6 and -26 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*(s\/s**(-13)*s)\/s)\/s*s)**43 assuming s is positive.\nAnswer: s**731","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -2\/27 (c) -2 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 47*r**2 - 20*r. Let d(f) = -94*f**2 + 41*f - 1. Let n(y) = -2*d(y) - 5*z(y). What is the second derivative of n(c) wrt c?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, q: 9, c: 1, x: 3, b: 2}. Give prob of picking 1 c, 1 b, and 1 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287036649959 + -0.4.\nAnswer: -287036649959.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5\/8 - 3*b**4\/2 + 21*b**3 + 99*b**2\/4 - 837*b\/8 + 243\/4 = 0.\nAnswer: -9, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1427, 5, 0.1, -1, 2.7 in ascending order.\nAnswer: -1, 0.1, 2.7, 5, 1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 460431133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 4*n + g + 17, -3*n - 4*g + 13 = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -81.46 + 0\nAnswer: -81.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2304*l = -k - 2299*l - 39, -16 = -2*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25695966311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - c?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 66 = 27*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1 - 38*p**2.\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 y when three letters picked without replacement from yaay.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2159723951\/(-294) - (14\/(-12))\/(-7). Round k to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three halves of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**5 + i**4 + 3456*i**3 + 307*i**2 + 132*i + 3 wrt i.\nAnswer: 420*i**2 + 24*i + 20736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 17. Which is the third smallest value? (a) 4 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 - -188 - (13 + (3 - 6)) - (-36 + 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 9*n - 8*n)*(0*n - 4*n + 2*n) - 16 + n**2 + 16 + 7*n to p*n + l*n**2 + a and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/4321730 and 33\/6173900?\nAnswer: 43217300","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -15290 + 26680. What are the prime factors of o?\nAnswer: 2, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:17 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1696 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x*z**4 - 53*x + 436329787*z**4 + 161670 wrt z?\nAnswer: -4*x*z**3 + 1745319148*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (24\/(-20))\/((-42)\/(-45) + -1) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*(-16)\/12. Let w = -0.2 + 0.8. Let s = 1.1 - w. What is the nearest to -1 in -2, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*-2*-2*22\/330.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 83\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (-1 + 5095\/(-5)). Let m = h - 457. Suppose 4*l - m = -78. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855 and 2565.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551099.\nAnswer: 551099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18394 + -27?\nAnswer: 18369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(76) - 1*sqrt(76)) + sqrt(76)))\/(sqrt(4)*1*4) + 5 - (sqrt(342)\/sqrt(216))\/(sqrt(36)\/sqrt(432)).\nAnswer: -7*sqrt(19)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - r**2 - 2*r + 4. Calculate i(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m - 284. Let o(g) = -5*g - 95. Let n(k) = -3*i(k) + 8*o(k). What is the remainder when 63 is divided by n(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 6, m: 2, v: 4}. Give prob of picking 2 m.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(684) + (sqrt(684) - 3*1*sqrt(684)))**2 + (sqrt(57)\/sqrt(3) + 3 - (-2 + sqrt(1216)))**2) + -3.\nAnswer: -1643 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b, 202 = 5*k - b + 197 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 0.1 (c) -3\/8 (d) -4 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 3*u**2 + 3*u + 3. Let m be (2\/1 - 1)*-2. Let n be t(m). Let h be -2 - (-2 + (-1 - n)). Are h and 2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4526332 - -53?\nAnswer: -4526246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 167 = -14*p - 4*l, 0 = 5*p + l - 240. Let x be ((-140)\/p)\/(-5) + (-17)\/(-7). Solve -r - x*i + 12 = 0, -2*r + 4 = 2*r + i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 5320*a + 5327*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7818 (base 10) to base 2\nAnswer: 1111010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168312817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*t = 120 + 780, -4*h - t + 1212 = 0. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.57 - 7.57. Let g = -4 - -12. What is the closest to -2 in g, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -20022121112?\nAnswer: 20022121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 0.06342?\nAnswer: 0.33658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 142527182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/675 - (0 - (-64380115)\/(-125)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 362\/9 + -43096\/1071. Let q = -301.9 + 299.9. Put m, q, -4 in decreasing order.\nAnswer: m, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - l**2 - 5. What is d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1143 (base 8) to base 6\nAnswer: -2455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 418 + -226. Is 188 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447.76 rounded to the nearest 10?\nAnswer: 7450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 take away -45207520.4?\nAnswer: 45207406.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u + 19*u - 97*u)*(-1 - 2 + 1).\nAnswer: 180*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 15. Suppose 0 = 4*c - 0*c - 44. Let d be (1\/c)\/(5\/h). What is the third biggest value in d, 1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.0283 (b) -4 (c) -2.6 (d) 5 (e) 4 (f) -3 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 6 = 0. Suppose -f*u + s = -22, 2*u + 2*s = 23 + 5. Calculate the least common multiple of u and (-2 - -8) + (1 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u - 429. What is w(-6)?\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*a - 4, -5*g - 5*a - 12 = 13. Let r be (-2)\/g - (-66)\/14. Solve -5*d + d + r*w + 35 = 0, 0 = 4*d - 4*w - 32 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9637.17 months?\nAnswer: 8.030975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w**2 + 11*w + 25. What is the units digit of q(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322683.\nAnswer: 3, 29, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 8) to base 3\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153110*o + 5*o**2 - 2*o**2 + 153110*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) -59 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 154093748 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 4*y - 4. Let n(b) = -2*b**2 + 3*b + 3. Let j(k) = -3*f(k) - 4*n(k). Let s(r) = 11*r**2 + 3*r - 3*r. What is s(j(c))?\nAnswer: 11*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13388, 13390, 13394, 13400, 13408?\n\"Answer: v**2 - v + 13388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1349*h**2 - 84941*h - 2893. Give m(63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from yfq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278 + 760 + 408*m**3 - 262 - 220.\nAnswer: 408*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/65)\/(5548\/1825)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 6*z + 1. What is the units digit of q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 - -0.3. Let r = 17 - l. Let u = r + -20.00000092. Round u to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 272?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123534066 and 1230.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, -1, -4\/9, -16 in increasing order.\nAnswer: -38, -16, -1, -4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269019520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 568 + 0?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 10. Let w(y) = -y**3 - 3*y**2 + 8*y - 3. Let s be w(-5). Let b(k) = 4*k + 21. Determine s*m(l) - 4*b(l).\nAnswer: -2*l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (54 + 6060\/(-110))\/((-2)\/77)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/240 - 11*k**5\/120 - 5*k**4\/6 - 7*k**3\/3 - 205*k**2. Factor v(l).\nAnswer: (l - 14)*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 14 = 9*a - 12*a, 0 = n + 2*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/16)\/(3\/12). Let v = -13.1 + -2.9. Let s = v - -15.6. What is the third smallest value in s, w, -3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 3. Let s = q + -6. Suppose s*n + h = 4 + 33, -n + 17 = -3*h. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -327*v**3 - 3912*v**2 + 145*v + 1. Determine s(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -275, -385, -459, -485?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-945)\/(2268\/36)*(26\/(-20))\/(2\/8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)\/(g\/(g**(1\/3)*g*g))*(g**(1\/3)*g*g)\/(g\/g**(-7)) assuming g is positive.\nAnswer: g**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9157, -9144, -9067, -8878, -8529, -7972, -7159, -6042?\nAnswer: -4573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28950632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v + 3*v - 5*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25170728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49509?\nAnswer: 3, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -10 (b) 0.2 (c) -1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h*h**(1\/21)))\/h))\/(h*h**(-10)))**(10\/11) assuming h is positive.\nAnswer: h**(2320\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 + 4*p**3 - p**3 + (-2*p**2 - 3*p + 3*p)*(-1 + 1 - 2*p) + 8*p**3 + 7*p**3 - 24*p**3 to d*p**3 + a + x*p + l*p**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1075, 1071, 1063, 1051?\n\"Answer: -2*n**2 + 2*n + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439028274 to the nearest integer?\nAnswer: 20953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -711, -0.02, 4, -128, 3 in increasing order.\nAnswer: -711, -128, -0.02, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/975 - (-5)\/(-26).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 379*b**2 + 13*b + 3. List the prime factors of q(-4).\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 87. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 92993 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8211 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - k**3 + (-k + 0*k + 0*k)*(-k**2 - 4*k**2 + 4*k**2) + 0 + 0 - 2*k**3 as f*k**2 + a*k + x + w*k**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5575?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 8:09 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, x: 1, l: 1, i: 1}. Give prob of sequence jx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.057 + -9.543. Let i = 10 + u. Which is the third biggest value? (a) i (b) 5\/2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-102)\/9*10*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = w + 21, 2*z - 11 = w - z. Let r(v) be the third derivative of -v**6\/120 + v**5\/15 - v**4\/24 + 5*v**2 + 2. Let b be r(3). Solve 6 + b = -w*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 0*z**3 - z**3 + (-z**2 + 4 - 4)*(0*z + z - 3*z) - z**3 + z**3 - z**3 - z**3 - z + 6*z**3 - 4*z**3.\nAnswer: 3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0 - t**2 - 2*t - 1 - 1. Let i be r(-6). What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 + 2*o + 25. Let k be b(0). Suppose 3*n + k = 13. List the prime factors of n\/6 + (-325)\/(-15).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (5 + -77) - 52?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - -84?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from heyyhehyy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.18 - -0.18. Let x = z + 1.2. Let s = x - -1.8. What is the second biggest value in -0.03, -0.3, s?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(17) - (sqrt(17) + sqrt(17) + (sqrt(17) - (1 + sqrt(17) + 0))))**2 + sqrt(17) + (sqrt(272) + -1 - sqrt(17))).\nAnswer: 12*sqrt(17) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6134245 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 182159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -562.965 + -0.035. Let m = j + 562. What is the nearest to m in 4, -0.4, -2\/155?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 893 and 431281?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 326367272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 less than 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*b + 7 - 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**6\/15 - 7*k**5\/60 - k**4\/4 + k**3 + 18*k**2. Let n(x) = x**3 + x**2 + x - 1. Give i(r) + 6*n(r).\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24205683.\nAnswer: 3, 23, 53, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2687550 and 21\/115415?\nAnswer: 1513090650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuuu when four letters picked without replacement from ccuccccucccucc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75061\/5 + 12160207\/810. Calculate the common denominator of 1\/72 and p.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12197, -24394, -36591, -48788, -60985?\nAnswer: -73182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 33. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/11016 and -157\/3672.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211156\/97 or -2176?\nAnswer: -2176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaggg. Give prob of sequence ga.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100211 (base 3) to base 2.\nAnswer: 1111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*u - u + 15, 4*m - u - 33 = 0. Suppose -21 = -0*l - m*l. Solve l*t + 3*j - 3 = -2*t, 0 = 2*t + 4*j - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*1248\/(-351)*((-6)\/16)\/(6\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -3708411255534\nAnswer: 3708411255533.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59.02 - -58.72. Sort 0.1, 4\/7, d, -2, 0.4 in increasing order.\nAnswer: -2, d, 0.1, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 17233*y + 0 - 35834*y.\nAnswer: -53067*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172126 is divided by 4098.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3043865360.\nAnswer: 2, 5, 19, 105397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r + 431 + 634 = -105 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 22. Let d = x + 26. Suppose -68 = -4*o - d. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1730\/9 - 192. Let k be 3\/24*4*3*-1. Which is the second smallest value? (a) 1\/10 (b) h (c) 4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*w - 13*w - 25*w - w)*(-2092 + 2092 + 54*w**2).\nAnswer: -3942*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15041.9813 - -9.25544.\nAnswer: -15032.72586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 452, 650, 844?\nAnswer: 1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2236825679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*w - 6*i, -i - 526 = -w - 524 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 42*b + 60. List the prime factors of v(18).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333 by 42.\nAnswer: -111\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 14 - 4*v + v. Let w be n(-7). Let o = w - 4. Calculate the remainder when 7 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372981057*g**2 + 372981057*g**2 - 31*g**3.\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3560.135634 - 3560.1. What is j rounded to 4 decimal places?\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -196\/153 - -18\/17. Suppose -4*z + z - 5*z = 0. Let r = -0.2 + 0.3. What is the nearest to r in z, 5, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**4\/12 - 2*l**3\/3 - l**2\/2 + 2*l. Let h be c(-4). Let k = 4 + h. Solve 0 = -k*r - 2 + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 4 + 0 + 4)*(-2*g**2 - g**2 - g**2).\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -141. Let p be 12\/i + (-38)\/(-14). Solve -4*a = p*h - 5*a - 10, -5 = -a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -1 - 2)\/1. Solve -3*q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.66 - -938.\nAnswer: 936.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1975266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvorvvrvrvomromvoomm. What is prob of sequence vvor?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -17. Suppose 0 = -y*f + 1 + 4. Let d(l) = l**3 - 3*l**2. Let z be d(3). Solve -f + 3 = o, z = 2*j - o + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 392, 0.4, 693, -5, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2001601035 * 0.4\nAnswer: 800640414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 - 2*x**2 - 2*x**2)*((-2 + 2 + 1)*(0 + 0 + 2*x) + 0*x + 2*x - 3*x + 56*x - 106*x - 66*x) to s*x**3 + v*x + j + g*x**2 and give s.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsshshdyjlsh. Give prob of sequence jl.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(1 + 0) + 2. Let d = 4 + w. Solve 0 = d*j - j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25064 and 2928632.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -543000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 - 326*s - 2 - 1 in the form z*s + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 8*s - 3. Let n(h) = -h**2 - 4*h + 1. Let d(i) = -3*l(i) - 7*n(i). Suppose 0*a - 4*a - 16 = 0. What is the units digit of d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b68b (base 14) in base 15?\nAnswer: 94dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n. Let t(k) = -7. Let r(w) = -w + 1. Let h(b) = -7*r(b) - t(b). Determine y(h(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 - 74 = -5*q. Suppose -5*r - 238 + q = 0. What is the units digit of (-2 - r) + -3 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9942 + -9937. Let c(t) = 6*t**2 - 35*t + 4. What is c(g)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4969, -5483, -5997?\nAnswer: -6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1182 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -7 (c) -2.18 (d) 3\/4 (e) 0 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3\/7, 3, -1\/5, 13.\nAnswer: -1\/5, 2\/7, 3\/7, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-30)\/12 + 4961\/2583 and -89\/12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102698*w**2 + w**3 - 3*w**3 - 102748*w**2 + 205446*w**2.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -448646.860201 and -3.\nAnswer: -448649.860201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. Let o = 13 - 1. What is the remainder when o is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58d44 - 2?\nAnswer: -58d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 5824.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 2, -0.2, -2\/11.\nAnswer: -0.2, -2\/11, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 17 = 4*d, -2*d - 2*g = -5 - 5. Let s = -0.43 - -0.33. Which is the closest to d? (a) s (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11113 + 19334. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - z**3 + 40 - 7*z**4 + 2 - 2*z**4 wrt z?\nAnswer: -36*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 3:46 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) 109 (b) -0.5 (c) -2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) 313\/3 (b) -6 (c) 3 (d) -4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -173.3?\nAnswer: -519.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3385 - 37020 - 20340 + 16*r - 15*r.\nAnswer: r - 60745","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 + (-488)\/(-44) - 3 and 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - k + 18. Let m(l) = 6*l**2 + 4*l - 56. Let r(q) = -3*m(q) - 10*x(q). Does 2 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9\/7, 0, -5.\nAnswer: -5, 0, 9\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.159? (a) 15 (b) 3.4 (c) 3\/2 (d) 3\/5 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 5*a + a - 109 + 78 + 5*a.\nAnswer: a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 10 - 9 = 5*l, -5*v = -5*l - 25. Let j(f) = -2*f - 1. Let o be j(l). Solve -15 = o*m - 0*y - 3*y, -2*y = m - 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 x when four letters picked without replacement from jxjxxxxxxx.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.95 + -36. Let v = x - 0.05. What is the third biggest value in 0.8, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387 - 961. Let g be 1\/((-24)\/56 + (-260)\/y). Suppose 4*h - 62 = -2*q, -19 - g = -2*q - 2*h. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 - 13 = 4*m, -2*m - 7 = h. Let q be (-7 - (-4 - -1))*h. Let g be (0\/3)\/(q + 2). Solve g = 2*o - 5 - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 4. Let i(t) = -28*t**2 - 35. Let g(l) = -4*i(l) + 35*o(l). Let b(a) be the first derivative of -2*a**3\/3 + 1. Calculate b(g(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -23*p + 2321. Let w(g) = 17*g - 2322. Calculate -4*w(y) - 3*x(y).\nAnswer: y + 2325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b + 13*b**2 - 11*b**2 - 2*b in the form f*b + s + w*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/10)*h*h**(-20))\/(h**(-21\/4)*h\/(h\/(h\/h**(2\/15))*h)) assuming h is positive.\nAnswer: h**(-811\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/40 and (-1546)\/(-240) - 39\/104?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28640 and 100.\nAnswer: 143200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-758*o**5 + 6*o**3 - 14*o**3 + 8*o**3 - 145*o**5)*(-9 + 12 + 42).\nAnswer: -40635*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:32 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218 or 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(30\/27 - 1). Let v be (-6)\/h - 2\/3. Suppose 2*f + 4*g - 14 = 0, -5*f + 3*g + 9 = -v. Solve 5*r - f*r = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 3\/70*o**7 + 1\/48*o**8 + 0*o**3 + 0 + 0*o**4 - 1\/10*o**6 + 226*o**2 - 1\/15*o**5 + 0*o. Factor c(a).\nAnswer: a**2*(a - 1)*(a + 2)*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60030 divided by -12006?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 748\/(-1904) + ((-81)\/21 - (0 - 4)). What is the nearest to 0.0787 in s, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193936 divided by -368.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6\/11 - (-4902)\/2508)*94\/5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - 12 = 0. Let n be 8\/(-1)*(-3)\/z. Suppose -3*o - 5 = -2*i - 13, -n*o + 17 = i. Solve 0 = o*g - 2*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 1 - 1 + l**3 - 3*l**2 + 3*l**2 + (-2*l**2 - 1 + 1)*(2 - l - 2) - 7*l**3 + 2*l**3 - l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**2 + 19*f + 20. Does 26 divide a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5071, 16732, 36227, 63604, 98911?\nAnswer: 142196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -720*g*j**4 + g*j + 2*g + j**5 - 3*j**3 - 8*j + 10 wrt j?\nAnswer: -8640*g*j**2 + 20*j**3 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152251 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/85)\/(60\/(-680)*10)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 23*u**2 - 46. Let m(h) = -2*h. Give o(m(l)).\nAnswer: -92*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01024281 rounded to 5 dps?\nAnswer: 0.01024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 34572016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 3*q + 24. List the prime factors of a(10).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (7 + 2)) + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49\/135 + 4\/135. What is the fourth biggest value in -3, p, -5, -6\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*l - 796 = 221 + 607 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*z + 7, 2*m + 0*m + 3*z = 13. Let k(p) = 6*p**2 - 2*p + 1. Let a be k(1). Let i = -106 - -117. Solve -5*g = -2*f + i + a, -3*f - m*g = 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 244, 332, 440, 574, 740, 944, 1192?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/3)\/i)**8)**(-2\/127) assuming i is positive.\nAnswer: i**(112\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001986764221 to 7 decimal places.\nAnswer: -0.0019868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672636 is divided by 1672617?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -17*d**3 - 35*d**2 - 24*d - 5. Let i(p) = 3*p**3 + 5*p**2 + 3*p. Let g(r) = -6*i(r) - x(r). Suppose c + 4*v - 26 = -0*c, c - 31 = -5*v. What is g(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(187) + (sqrt(187) - (sqrt(187) - (sqrt(187)*2 + sqrt(187)))) + sqrt(187)) + sqrt(187) + sqrt(187))\/(sqrt(55)\/(2*sqrt(5))).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*g + 63*g + 245*g. Solve 7*z + 1851 - 1893 = g for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 568456.3 to the nearest 100.\nAnswer: 568500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17835302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/60 - 7*k**4\/24 - 4*k**3\/3 - 2*k**2 - 5*k. Let j be o(-4). Solve u - 4 = -5*n, 3*n = -5*u - j + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d - 1)*((-49 - 51 + 10)*(-358 + 49*d + 81*d + 361) + (2 + 0 + 0)*(3*d + 0*d - d)).\nAnswer: 23392*d**2 + 540*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 325659341 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 15. Suppose -d*w + 42 = 2*w + 5*i, 3*w + 5*i = 34. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22219, -21452, -19279, -14968, -7787?\n\"Answer: 122*x**3 - 29*x**2 - 22312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36329 and 485099.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let k = -39 - -43. Solve -x - k = -4*n + z, -2*n + 4*x - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a week in hours?\nAnswer: 3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, b: 5, h: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 1. Let g(u) = 8*u - 50. What is g(n) - 6*p(n)?\nAnswer: 2*n - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97432749*s**3 - 10567*s - 181.\nAnswer: -584596494*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 22666 - 248997 = 0. Suppose p = -3*s + 10*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18113486 divided by -3\nAnswer: 18113486\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15471?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565553277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.645726 decades to millennia.\nAnswer: 0.03645726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/((20\/(-5))\/2) - -5. Solve -2*t - f = 4*h, 0 = 4*t - 3*h + 2*h - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587216972.\nAnswer: 2, 146804243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 6 = h. Solve 0 = -3*r + 2 + h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10707 by -321.\nAnswer: -3569\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 36653911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 732732 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let m(l) = -1. Let g(y) = 1. Let o(k) = -2*g(k) - m(k). Let z(x) = x + 2. Let s(h) = -4*o(h) - 2*z(h). What is s(q(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = 9024. Let q = w - 3298. Let c = 3758 - q. Round c to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1647)\/(-244)*(-1032)\/7353.\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4498 is divided by 1123.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2712 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**3))\/c*c)**30*(c**(1\/16)\/c*c)\/(c\/c**(-30)) assuming c is positive.\nAnswer: c**(-1935\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 339082 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 1 - 1 + 0*u**2.\nAnswer: -8*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 2*i**4 + 3*i**2 - 1 + 4*i**4 + (-5 + 5 + i**3)*(-3*i - i - 4*i) in the form q*i**3 + t*i**2 + d*i + c*i**4 + j and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -16*i + 14. Let g be 3*-1 - (-143)\/(1859\/130). Determine h(g).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201221011 (base 3) to base 7\nAnswer: -60235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 5 - (0 + 3 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 + 2158*u**2 + 44010*u + 298. Calculate i(-21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1622 = -195*m + 1693 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (17 - -2) + -10 - -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1531415 (base 6) to base 15\nAnswer: -1b915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 3. Let w be c(-2). Let p(l) = -l + 1 + 1 + 0*l. Determine p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 - 673552*j**2 - 1347101*j - 673550 = 0. Calculate j.\nAnswer: -673550, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 24. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85.99 - -86. Let b = 117\/74 - 3\/37. Sort b, -0.3, r in decreasing order.\nAnswer: b, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-49)\/28 + 4)\/(1\/288). Suppose 3*z = p + 1245. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1582 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 b when four letters picked without replacement from hhhbb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 + 145 + 6 + 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, q: 1, w: 1, e: 1, y: 2, o: 7}. What is prob of sequence eyqo?\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1700, -3399, -5098?\nAnswer: -6797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61040 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13 = -14. Suppose 0 = -5*p + n - 45, 3*p - 3*n = 4*p + r. Let m(x) = x**3 + 8*x**2 - 10*x + 10. Is m(p) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -88. Let w(v) = -s*v + 16 + 7 - 21. Determine w(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-8)*(3 + (-291)\/(-9)). Let j = u - -57. Suppose 5*s + 5*w - 60 = 75, -j*w + 48 = 2*s. Calculate the remainder when s is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 156*c - 1557. Let l be z(10). Let v(k) be the second derivative of 0 + 1\/3*k**l + k**2 - 19*k. Let y(a) = 2*a. Calculate v(y(f)).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Let j = u + 1. Let g be 29\/(-35) + (-2)\/(-5). Which is the smallest value? (a) j (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1003 + -968. What is the remainder when 95 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 504.2183 hours?\nAnswer: 1815185880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -835334.\nAnswer: -835333.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from izmdjxxi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2280*m + 11. Is y(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/248*33\/66\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*n + 8084 = 12047 + 14124 + 20028 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -47*z**2 + 20*z - 57. Let d(r) = -27*r**2 + 10*r - 28. Let j(g) = -7*d(g) + 4*v(g). What is j(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 q when three letters picked without replacement from {i: 4, j: 4, q: 2, w: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0659, 2\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 24)*708\/472*(-24)\/54?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.7 + 30. Let x = i + -8.48. What is x rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w. Let f(d) = -28*d**2 + 4. Determine f(l(c)).\nAnswer: -1008*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 * 2.7.\nAnswer: -0.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60812 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 97. Let f = -109\/114 + 15\/19. Which is the fourth biggest value? (a) 0.2 (b) 4 (c) z (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h*h**7))\/(h\/(h*h\/(h**(-9)\/h)*h)*h))\/(h**(-9)\/h*h*h*h*h**6))**(9\/5) assuming h is positive.\nAnswer: h**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from xxqxxqqqxxqqxxxxxu?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -32*h + 3. Let v(y) = y. Let o(r) = -4*v(r) - w(r). Let t be o(6). Suppose m - t = -2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**2 - 242748*s + 242748*s.\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1946248319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 28*j**2 - 4*j + 3. Suppose 10 = 5*r + 5*b, -5*r + 8 + 2 = -3*b. Let z be l(r). Let q = 10 + z. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 6\/13, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 4*l. Let x(c) = 16*c**2 + 21*c + 1. Let d(k) = -11*g(k) - 2*x(k). Let i(o) = -o**3 + o - 4. Let a be i(0). Is d(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 87*x - 2. Let h be n(1). What is the tens digit of 221\/34*(h + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 611 or 586?\nAnswer: 611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -d91305?\nAnswer: -d91307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2402040 and 85\/720612?\nAnswer: 7206120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 158 - 1?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179767\/414 - 3910\/9. Find the common denominator of -109\/322 and j.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = 0, -35 - 226 = -2*j - u. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 - 220. Suppose d*v - 1681 + 661 = 0. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(2\/(-3) + 0). Suppose -u - 10 = -5*d - 0*u, 3*d - 2*u = 6. Suppose 3*g - f = d*g. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1145*w**2 + 1. Let a(d) = 2291*d**2 - 2. Calculate 3*a(g) + 5*l(g).\nAnswer: 1148*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/t*t\/t**(9\/4)*t**(-8)*t*t**(5\/6) assuming t is positive.\nAnswer: t**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030213956 to 6 decimal places.\nAnswer: -0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4676.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2\/9*g**4 - 194\/9*g**2 + 4*g**3 - 200\/9 + 40*g = 0.\nAnswer: 1, 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkwkwkkkkkkkkwk. What is prob of sequence wk?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 48 - 96. Let i = -3 + 13. Let g(z) = z**3 - 10*z**2 + z - 13. Let u be g(i). Is u >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 - 5*x**5 - 3*x**5 + (0*x**5 + x**5 + 0*x**5)*(3 + 0 - 6) + (5*x**3 + x**3 - 4*x**3)*(-2 + 2*x**2 + 2) + 2*x**5 - 2*x**5 + 2*x**5.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/i)**(-24)\/(i**1)**(-5))\/((i**(-7)\/(i*i\/(i**(1\/2)\/i)))\/(i**(-5)*((i*i**(-5))\/i)\/i)) assuming i is positive.\nAnswer: i**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.2. Let d = -0.007 + -17.993. Let k = d + 16. What is the biggest value in q, 0.3, k, 0.08?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -60636463?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 12*j + 3. Let h be p(9). Let n(x) = -x - 22. Let f be n(h). Suppose f*z + 4*g = 276, 118 - 565 = -3*z + 5*g. Does 36 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) -2 (b) -4\/7 (c) -0.3704 (d) 1\/4 (e) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2194686, 14, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26 + 25)\/(5*(-2)\/(-4)). Which is the nearest to 1\/3? (a) p (b) 1\/7 (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23205*n + 487246. Give l(-21).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 20 + 0 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 23*b - 49. Let d be h(11). Let f = d + -197. Solve -4*w - 1 = 2*v + f, -3*v = -w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 12, -3, -5 in descending order.\nAnswer: 12, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*q - 641 - 255 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x + 3 - 1)*(-18 - 3*x + 4 + 9) to the form y*x**2 + c*x + o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*v + 86*v + 71*v.\nAnswer: 108*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-18\/11)\/o)**(-2\/51) assuming o is positive.\nAnswer: o**(58\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7496 + 3\nAnswer: 7499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96b3 (base 12) to base 4.\nAnswer: -10002213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 5, 1\/18, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 79 = -t, 2*t = 4*m - 2*m + 182. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -298*d + 1. Let m(i) = -i**2 - 55*i. Give m(s(x)).\nAnswer: -88804*x**2 + 16986*x - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*p + 2 + 23*p - 2*p**2 - 66*p + 23*p to q + v*p**2 + m*p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/16)\/(1456\/96*(-7)\/(4704\/(-54))).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10199\/8 + 1273. Calculate the common denominator of -14\/3 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**8\/1344 - x**7\/840 + 11*x**2\/2 + 12*x. Let l(p) be the first derivative of d(p). Determine u so that l(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/2496 - 3\/8 - (0 + -4)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12262.05 nanometers in centimeters?\nAnswer: 0.001226205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 5*m**2 + 3*m + 1. Let a be z(-5). Let v = -7 - a. Let s be (-68)\/(-14) + 1\/v. Solve -5*g = -s*c - 45, -3*g + 0*c + 7 = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 285\/45)\/(3\/(-81))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45159100.\nAnswer: 2, 5, 7, 64513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 4, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 1409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 4:15 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -358 - -358.3. What is the second smallest value in -21, 1, z, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 182 = -7. Let y(i) = -i**3 + 7*i**2 + i + 14. Determine y(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -6\/11, 0.339, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(57\/((-21033)\/(-6))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011573 to five decimal places.\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 489355570 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 48 = -0*s + 2*s, -125*s + 125*s + l + 4 = 2*l for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*(-10)\/(-96)*12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2*b + 5. Let n(z) = -6*z**2 + 10*z - 26. Let t(l) = -2*n(l) - 11*w(l). Is 2 a factor of t(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 9884622?\nAnswer: 9884617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*z - 14. Let w be 4*(z\/(-3) + -4). Solve w*s = -s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3262632 weeks?\nAnswer: 197323983360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -11, -4\/3, -1\/2, 27\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.491203 years to months.\nAnswer: 41.894436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 28*l - 47. Let q be i(-26). Suppose 0 = -2*d + 4 + 4, -4*w - 3*d = -20. Let a(y) = -2*y**2 - y**3 + q*y + y**w + 3 - 6*y + 6. Determine a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113.00731 + -113. What is w rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34321563?\nAnswer: 3, 141241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 2, o: 9, k: 5}. Give prob of picking 2 j.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.82 in 2, -23667, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 122. Let p be n(13). Is p bigger than -173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -18888.\nAnswer: -1888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**2 - 3*j - 2. Let f(u) = -5*u + 52. Let t be f(6). Let h be ((-8)\/t)\/(22\/(-121)). Determine s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25264.27 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*9\/12*(-5)\/(-45). Let j be ((-10)\/(-2))\/(-1 - -2). Which is the smallest value? (a) p (b) j (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2718938 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.42, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 2. Let p be i(7). Let c be (3\/2)\/((-3)\/(-18)). Let g = p + c. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0*a - 3*a**2 + 0*a - 19 - 2*a + 33 + 2457*a**3. Let p be u(12). Suppose -4*w = p + 2354746. Round w to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**3*w\/(w**(4\/7)*w*w))**(-2\/5) assuming w is positive.\nAnswer: w**(-34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z. Let d(f) = f + 7. Let x be d(-5). Let o(r) = -3*r + 4*r + r**x + 3 + 3. Give o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + 9780556?\nAnswer: 9780584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7589136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + z = -1, -d - z - 1 = -3*d. Suppose 0 = -5*r - 2*x + 171, -3*r + d*x + 90 = -3*x. Suppose w = r + 44. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1352449*n = 1352465*n - 336 - 64 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2136, -2 in descending order.\nAnswer: 8, -2, -2136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-4))**20*(x**(-7)\/((x\/x**(-2\/13))\/x))**(-47) assuming x is positive.\nAnswer: x**(4111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 5*j + 1. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18400407976 + 9*y + 18400407976 + 45*y.\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-154)\/9)\/7)\/((-110)\/990)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c6c3a (base 13) in base 9?\nAnswer: 605057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/110 and -1\/266650?\nAnswer: 2933150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**3 - 6*m**2 - 8*m + 4. Let v(p) = 5*p**3 + 5*p**2 + 7*p - 3. Suppose 15*x = 17*x + 6, 0 = b + 3*x + 12. Give b*w(u) - 4*v(u).\nAnswer: -2*u**3 - 2*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -100849527552 and 1.85.\nAnswer: -100849527550.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 30*h + 8 - 8. Solve t - 37 + 36 = -2*k, t - 3*k - 11 = h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 925596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -32 (b) 1.77709 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2))**(-2\/15) assuming y is positive.\nAnswer: y**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*b - 104*b - 7 + 75*b + 139*b to g + y*b and give y.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(500) + sqrt(500) + -2 + sqrt(500)) - (-3 + sqrt(500))*-4*3)**2.\nAnswer: -22680*sqrt(5) + 223416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 2979762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**3 + 7*t**3 - 101*t + 197*t - 96*t.\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/168*119283 - 3\/21. Suppose 0 = -4*f + 2*d + r, -2*d + 16 = 2*d. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 19. Let f = -9 + z. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 33. Let b(n) = -4*n**2 - 2*n**3 - 151 + x*n**3 + 150 - n**3 - 3*n. Give b(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -11 - (-1 + 13235\/(-45)). Let p = q + -292. Determine l, given that 5\/9*l**2 + 2\/9*l + p*l**4 + 4\/9*l**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttnunliiiatnutn. Give prob of picking 1 n and 2 t.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53590.56 rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -j + 3*j. Let l(f) = -6*f + 4. Let h be l(j). Suppose 5*y = y + h. What is the highest common divisor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 5 in ascending order.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from hdddddddpdptddttdth?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 661165, 5, 1, 3 in ascending order.\nAnswer: -5, 1, 3, 4, 5, 661165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37824*q + 1 + 51859*q + 223107*q + 1345*q.\nAnswer: 314135*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/((v\/v**1)\/v)*v\/((v\/(v\/(v**(-3\/4)*v)))\/v)*v**6\/v)\/((v**0\/v)**(-5\/2)*(v**(-1))**(-4)) assuming v is positive.\nAnswer: v**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 3*k - 125. Let t(r) = -r**3 - 4*r**2 - 4. What is t(k)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/(-10))\/3)\/(696\/121104)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10338870*u**2. Let z(v) = 21*v**2. Calculate r(z(q)).\nAnswer: 4559441670*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.09 * -4.36544\nAnswer: 4.7583296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12285 divided by -1?\nAnswer: 12285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + 26*q**2 + 55*q + 94. Let f be b(15). Solve -9*z - f = 10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x**4 + 0*x - 1\/120*x**6 + 1\/2*x**3 - x**2 + 0*x**5 + 0. What is the derivative of i(w) wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38430000 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.052 (b) 14 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let q(x) = 26*x**2 + 6*x + 6. Let c(r) = 52*r**2 + 13*r + 13. Let k(t) = -6*c(t) + 13*q(t). Calculate k(n(g)).\nAnswer: 104*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1704, -1707, -1710?\n\"Answer: -3*z - 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 153. Suppose -c = 4*c - f. Let g = -74 - -122. What is the highest common factor of c and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.254 - 0.054. Let y = f - 54. Let g(l) = -l - 4. Let w be g(-6). Which is the nearest to 0.2? (a) -4 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a = 0. Suppose 5*n - 14 - 11 = a. Solve 4*y + n = 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -711*b + 775*b - 1664 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 8*r - 5. Let z = 3 + 4. Let j be h(z). List the prime factors of ((-24)\/15)\/(j\/(-15)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.99844 and 175.5.\nAnswer: 175.22622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 23. Suppose -r - 8 = -q. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:59 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140116952?\nAnswer: 2, 419, 41801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 4*t - 185, -3*t = -5*v + 959. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3148.11 and -1414833.\nAnswer: -1411684.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 39*c**4 - 56396*c**2*s + 3*c*s - 5*c - 564*s - 22 wrt c.\nAnswer: 20*c**3 - 468*c**2 - 112792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52582803 to the power of 1\/2, to the nearest integer?\nAnswer: 7251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oodo when four letters picked without replacement from kooodkdkodokdkkoo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 1\/10, -4\/3.\nAnswer: -4\/3, 0.08, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -75881875 divided by -2\nAnswer: 75881875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -1\/5 in increasing order.\nAnswer: -2, -1\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w\/(w*w\/(w**(-6)\/w)*w)))*w*w*w**(-3\/5)*w)\/(w*(w**(-2\/7)\/w)\/w)**(-10\/3))**(21\/5) assuming w is positive.\nAnswer: w**(-1038\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o + 8*m + 20, 3*o - 2*m = 20. Let c = 3 + -1. Solve n + 1 = 0, c*l = 3*l - n - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 22 + 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:53 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/9, -1, 25 in increasing order.\nAnswer: -1, -4\/9, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -8 - (2 - (-1 - -8))) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5837742*y**2 - 7131894*y.\nAnswer: -11675484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**3 + b**2 - b + 1. Suppose 2*t + 2 = 4*t. Let d be y(t). Let f(c) = c**2 - 7*c + 4. Is f(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342 (base 6) in base 12?\nAnswer: 6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 20*l**3 - 16*l**2 + 16*l - 16. Let n(j) = j**3 - j**2 + j - 1. Suppose 44*b - 75 = 47*b. Let q be (-1 - b)\/((-3)\/2). What is q*n(d) + r(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 24770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*l**3*p**3 - 2*l**3*p**2 - 1202*l*p**3 + 4*l*p**2 - 9*p**3 + 104607*p wrt p.\nAnswer: -120*l**3 - 7212*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94, -251, -698, -1573, -3014?\n\"Answer: -23*i**3 - 7*i**2 + 25*i - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 62*u**2 + u - 14. Let j be a(-14). Suppose 16*d + j = 39468. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*x**3 + 10*x**2 - 27 + 47*x**3 - 24*x**3 + 7 - 13 in the form m*x**2 + y*x + h + k*x**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 472880*b**3 + 769699*b**2?\nAnswer: 2837280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2225229 and 962?\nAnswer: 2224267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-984)\/60 - (-14 + -3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9152098?\nAnswer: 2, 37, 123677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p - 464. Let u be b(-27). What is the fourth biggest value in u, 3, 1.2, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, 1, -1694, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -123406, -123442, -123508, -123610, -123754, -123946, -124192, -124498?\n\"Answer: -z**3 - 9*z**2 - 2*z - 123394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -82. Suppose -j = 4*j + 5. Which is the smallest value? (a) -2\/3 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 54\/5 of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*s**2 + 11*s**2 - 16*s - 29*s**2 + 64 + s**2.\nAnswer: (s - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a**4 + 32*a**4 + 18*a**4 - a**2 - a**3 - 104*a - 76*a**4 in the form m*a**4 + q*a**3 + n*a**2 + i*a + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, 4, -5.\nAnswer: -5, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-8))\/(4\/(-5)*(-355)\/1562)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 1350*b**2 + 6455*b - 4750200.\nAnswer: -5*(b - 261)*(b - 65)*(b + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*(-10)\/(-6))\/1. Suppose w*a - 11 = 9. What are the prime factors of (15\/12)\/(a\/48)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let g(s) = 7*s - 4. Let r(t) = g(t) + 3*h(t). Let u = 4 + -7. Let d be (u - 0)\/((-2)\/2). Calculate r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5a419 (base 12) in base 3?\nAnswer: 121121122102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -2*n + 3*s - 96 - 32 - 131, 61 = -2*n - 3*s for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 621 and 24894?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l + 1)*((-2 - 5 + 5)*(-1 + 3 + 0) + 1 + 4 - 4 - 2 - 44 + 8)*(-3*l**2 + 0*l**2 + l**2).\nAnswer: -82*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l + 8. Let b(h) = 5*h + 3. Calculate -7*b(w) + 2*d(w).\nAnswer: -3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 + 616*v**2 - 478440*v + 71150400.\nAnswer: 2*(v - 270)**2*(v + 1464)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-10))\/(9\/135). Let f(c) = -3*c**2 + c. Let t be f(1). Let y = t - o. Let v(w) = -2*w + 11. Let h(a) = -a + 5. Calculate y*v(m) - 9*h(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4883 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) -0.3 (d) 3 (e) -1095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4) + 10 - 2175\/29\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x*x*x*x*x**(-3)))))**(-2\/59)*x**0*x*x\/((x**2\/x)\/x)*x*x)**40 assuming x is positive.\nAnswer: x**(9520\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 14*z - z = 0. Solve z = 4*s + 19 - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5776 and 4848952.\nAnswer: 9697904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m, s + 0*s + 4*m - 5 = 0. Suppose -3*l + 0 = -5*d - 8, s*d - 4*l = -9. Let c(q) = -q + 1. Give c(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -5, 2, 44, -1, 31 in decreasing order.\nAnswer: 44, 31, 4, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3502 - 0.027. Round s to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {o: 6, r: 4, p: 1, e: 2, q: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) + sqrt(637)*1 + sqrt(637))*-6) + sqrt(637)*-1 + -2)**2.\nAnswer: -504*sqrt(13) + 206392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Suppose 0 = -29*q + 33*q - 8. Let w(n) = n**3 - 3*n**2 + 4*n - 2. Let m be w(q). Put m, u, 4 in increasing order.\nAnswer: u, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 17*w - 61. Let q be r(6). Suppose -3*i = -q*t - 20 - 15, -2*i - 4*t + 60 = 0. Solve -5*l - 3*y = y + 4, -2*y + i = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 - 7*d - 1. Give v(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*(-76*x - 27 + 138*x - 77*x) as s*x + d and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 90, 121, 142, 153?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + ((-10962)\/(-36))\/29?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 6162?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3*h**2 + 3*h. Let d be u(-4). Let l(c) = 0 + 0 - 2*c + d*c. Let b(y) = -5*y**2 + 3*y**2 + 0*y**2. Calculate b(l(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -17, 5 in increasing order.\nAnswer: -17, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 20 - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (176\/352)\/(-2*1*(-55)\/22220)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*d**2*o**2 - 10*d**2*o - 2957*d**2 + 3*d*o**2 wrt o.\nAnswer: -48*d**2*o - 10*d**2 + 6*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239147.\nAnswer: 3, 7, 13, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - 2, -2*f + 4 = 2*r. Suppose m + f*m = 5*u - 10, 4*m + 6 = 3*u. Suppose -2*b + 3*h - 8*h + 282 = m, -5*h - 504 = -4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.29, 1\/2, -4, 35, 4.\nAnswer: -4, -0.29, 0.4, 1\/2, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*a - 340 = 7*a, 0 = 5*a + 25. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57001667 times 4?\nAnswer: 228006668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1356 and 149\/1230.\nAnswer: 277980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 395686 - 3165487\/8. Solve 0 - j*c**4 - 1\/4*c**2 + 3\/8*c**3 + 0*c = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -3)*1\/10. Let k = -0.37 - 1.63. What is the closest to r in 1, k, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 4*z + 125 = 0, 0 = 264*c - 262*c - 3*z + 45 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3051 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 12*n**2 - 19*n - 58. What are the prime factors of y(-10)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(7\/3)*y)*y*y**(-11)\/y assuming y is positive.\nAnswer: y**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1286 by 643.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.1, -0.03, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*a + 418*a + 75 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Find the third derivative of q*w**2 - 2*w**5 + 3*w**5 + 2*w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 46. Let w = k - -4. Let v = -3 + 1. What is the closest to v in w, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let g(d) = -370 + 38 + d**2 + 8*d + 29*d - 50 - 36*d. Give c(g(a)).\nAnswer: a**2 + a - 382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -17021755.\nAnswer: -3\/17021755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a century in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/41 in -4\/9, -2\/373, 2\/3?\nAnswer: -2\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 185*j + 1350. Calculate x(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-2)*3\/6. Suppose -2*l - 210 = z*l. Let h = l + 59. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2\/21 + (-2750)\/(-231))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -17 + (10 + -4 - (142 - 179))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 57 + (-17 - (-3 - -2) - -10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 - 9.1. Let b = -0.0439 - 3.9561. Let h = c + b. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328155099 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302787 or 302785?\nAnswer: 302785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3\/3 - o**2\/2 - 21*o + 1. Let a be q(0). Let x(t) = t + 29. Let m be x(a). Solve 2 = -2*p, 6*p - 3*p = -j - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13363.\nAnswer: 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -6785\/6*z**4 + 0 + 12*z**2 - 10\/3*z**3 + 0*z. Let q be m(7). What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*x = 1792, -y = -2*y + 3*x + 372. Suppose 2*h - 6*h = -y. Let k be 2 - (h\/(-3) + 2). Calculate the highest common factor of k and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4622 divided by 8\nAnswer: -2311\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0869*85.8.\nAnswer: 7.45602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1383 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 132 + 990. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22424\/2727 - -2\/2727. What is the common denominator of f and -35\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 233701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4809*i**2*q**4 - i**2 + i*q**5 - 3*i*q - 3*i + 18 wrt q.\nAnswer: 57708*i**2*q**2 + 20*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y + 1. Determine f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 2. Calculate t(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.342 in 0.04, -0.5, 55?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 10, -12 = -2*r + 4*p. Let l = -17711 + 17715. Sort 20, r, -1, l.\nAnswer: -1, r, l, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4375 and 40775.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**7\/210 - 1033*d**5\/10 + 5345*d**3\/3 - 2*d**2 - 4*d - 8. Differentiate s(t) wrt t.\nAnswer: 4*t**3 - 12396*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39380 is divided by 9839?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -43*x**8\/8 - 1349*x**5\/60 + 891*x**2. Find the third derivative of q(v) wrt v.\nAnswer: -108360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2032, 4034, 6046, 8074, 10124, 12202, 14314, 16466?\nAnswer: 18664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 3*n**4\/4 + 8*n**3\/3 - 4*n**2 - 1. Let c(y) = y**3 + 3*y**2 - 3*y. Let v = 24 + -32. Calculate v*c(l) + 3*k(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2405587 is divided by 68731.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -836, -1057, -1148, -1109, -940?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 3:17 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 = f. Let b(t) = -5*t**2 - 46*t - 30. Let y(a) = -a**2 - 9*a - 6. Let i(s) = 2*b(s) - 11*y(s). Let q be i(f). Are q and 6 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85566 and 114?\nAnswer: 1625754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/i**(-2))))\/i*(i**(3\/2)\/i)\/i)\/((((i\/i**0)\/i)\/i)\/(i**(4\/9)\/i)) assuming i is positive.\nAnswer: i**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s. Let q = 42 + -40. Let l(f) be the first derivative of 16 + 2*f**2 - f + f - 4*f**q. Give l(r(c)).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 1)*(7*c - 7*c + 46*c**3).\nAnswer: 138*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = -12. Suppose -5*r + 56 = 5*d - 479, -y*r = 3*d - 424. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 2 - (-15 - -19) - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-4))\/(38\/(-152)*-24).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 134 = -p, 4*p = 2*p + 2*q + 276. Suppose -3*m - u - p = -3165, 4*u - 20 = 0. Let c = -654 + m. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 d when two letters picked without replacement from {i: 2, x: 2, d: 4, o: 4, b: 1, r: 1}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 7*o + 12. Let q be j(-4). Solve 0 = 11*p + 41 - q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4907963 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 52*w + 358. Let g be r(-7). Let c(y) = 45*y**2 + y - 42. What is the thousands digit of c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1798 - 1?\nAnswer: -1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klllklllllllllklllkl. Give prob of sequence lkl.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(150))\/sqrt(5))\/(sqrt(54)\/(sqrt(9) - (4*sqrt(441) + sqrt(9))))*-5.\nAnswer: -700*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, s: 8}. Give prob of sequence ssds.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 70 = -8*i. Suppose 0 = 5*v + 5*n - 375, 3*v - v + 5*n - 165 = 0. Calculate the highest common factor of v and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*a = 25, 0*a - a = -2*z - 10. Let u be (-6)\/(-2) + z + -8. Let k be u\/45 + 40\/18. Solve k*o + d = -2 + 11, o - 3*d + 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 3*d**3 + d**3)*(9 - 20 + 5).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -20036.\nAnswer: -5\/10018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -65. Let g = k - -84. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 300, 355, 466, 651?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:32 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at most as big as -256920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -1\/2*g**2 + 1\/3*g**3 + 3*g + 0. Differentiate b(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 23898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 6*u - 3*u + 133 + 142 = 249, 2*j = 5*u + 34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 161 = -19. Let g be (16\/h)\/(2\/135). What is the tens digit of (1*9)\/((-6)\/g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-10)*344\/(-129).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 53, 193, 461, 899, 1549, 2453?\nAnswer: 3653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((60\/(-8))\/(-5))\/(-3*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/5 + 5376*z**2 + 134438*z\/5 + 32268 = 0.\nAnswer: -3, -2, 13445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644\/15 + (-2)\/(-5)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36378?\nAnswer: 2, 3, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 (base 13) in base 15?\nAnswer: da6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20486826, 20486827, 20486828?\nAnswer: 20486829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (148\/10)\/(6\/15 - 0). Suppose 30*b = g*b - 182. Let k(y) = -y + 28. Let r be k(b). Solve 0 = r*z + 2*z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-12975395.\nAnswer: -25950790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) - -6*(sqrt(119) + -2*sqrt(119))))\/((sqrt(105)\/sqrt(3))\/sqrt(5)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-81*t + 17 - 17).\nAnswer: 162*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Let g(l) = -10*l**2 + 35*l**2 - 4 - 11*l**2. What is g(i(b))?\nAnswer: 14*b**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2689741 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120119024 divided by 16.\nAnswer: -7507439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3 + (5*355 - (-13 - -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27651.948 + -27652. What is the third smallest value in 1, -4, h, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 6*b**2 + 21. Calculate s(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 6. Let j = z + 14. Let m = j + 0.1. Sort m, -5, 2\/23 in increasing order.\nAnswer: -5, 2\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, -146123 in increasing order.\nAnswer: -146123, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*c - 14. Suppose 5*g - c = 1. Suppose -4*j + 5*u + 17 = 0, g*j = 2*j + u + 4. Solve -w = -q - 2, 2*w = -8*q + j*q + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54734742 divided by -3?\nAnswer: -18244914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-61904)\/(-112) - 2\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110.8 - -109. Which is the third biggest value? (a) 5 (b) j (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6364179 to 4 decimal places.\nAnswer: 0.6364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*i + 12*i**3 - 165*i + 326*i - 1018*i**2 + 1018*i**2.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*(-28)\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -1514 + 308. Calculate the smallest common multiple of 12 and m.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 2250686.\nAnswer: 22506860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10560 divided by -120?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - g)*(3*g**3 + 2*g**3 + 11*g**3).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.631 - -2.57. What is the second biggest value in -30\/13, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let w(j) = 7*j**2. Let n = -11 - -12. Calculate n*w(z) - 6*c(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*b = -365*b + 210. What is the remainder when 514 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5756*l + 361. Let h(m) = 1149*m - 72. Let u(t) = 2*d(t) + 11*h(t). Differentiate u(f) with respect to f.\nAnswer: 1127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from iiohfpqfiqifipfihq.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 2*y - 48. Let n be u(10). Suppose n*z = 26*z + 1338. What are the prime factors of z?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 504*t - 47871. Give b(95).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3 - 4*l - 7*l**2 + 6*l**2 + 3*l**2. What is the remainder when j(7) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 12\/11*m**2 + 0*m + 14\/11*m**3 + 2\/11*m**4 + 0 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/24 and -121\/460.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*s - 150*s + 47 = 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + 2*sqrt(833))**2.\nAnswer: -112*sqrt(17) + 3346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -73*g + 47. List the prime factors of v(-4).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2, -0.046, -2\/9 in descending order.\nAnswer: 2, -0.046, -2\/9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.4. Let k = 8 - 5. Let w = -2.6 - -0.6. Put w, k, m in descending order.\nAnswer: k, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -5*u**4\/4 - 5*u**3 - 5*u**2 - 10. Factor a(i).\nAnswer: -5*i*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.8 (b) -4 (c) 26 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 8*k**2 - 18*k + 24. Let n be g(-10). Suppose 0 = -5*a - 2*t + 100, -5*t = -n*a - 9*t + 92. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 34 = 2*n + 3*b, -5*b + 30 = 2*n. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-505)\/105)\/(-2)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350964?\nAnswer: 2, 3, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/3760 and 13\/49700?\nAnswer: 9343600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p**6 - 1\/8*p**4 - 12*p**2 - 3\/70*p**7 + 0*p**3 + 0*p**5 + 0 + 0*p. What is the second derivative of g(y) wrt y?\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 783 + -622. What is the remainder when v is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t + 5. Let h be o(6). Let w = -4 + 10. Let g = w - h. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c**2 + 1. Let g(m) = 64*m - 2. Determine j(g(z)).\nAnswer: 90112*z**2 - 5632*z + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -387.\nAnswer: -4\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 + 483. Is n a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 13*i - 42. Let y be f(5). Let c = y + 82. Let p = -1 + 7. Are p and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1938 + -1938. What is the third smallest value in u, 1, 0.0154?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 - (134377\/(-664) - -102)\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -18 - -1 - (2 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) - (0 - 59580\/22). Let b = t - 1753. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**7\/168 - d**4\/8 - d**3\/3 - 3*d**2. Let l(o) be the first derivative of a(o). Differentiate l(m) wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l + 5. Let t(r) = 11*r - 6. Let s = -123 - -118. Determine s*t(n) - 6*d(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (64\/80)\/((-4)\/130). Let k = -1 + -22. Let c = k - r. Calculate the lowest common multiple of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.95 - 8. What is the closest to 1\/3 in 0.3, -0.1, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -l, 4*l - l = -4*t + 40. Suppose 4*u - 5 = 3*i - 1, -l = 4*i - 4*u. Let m = 3 - i. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 7*o + 68*o - 28*o - 33*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 1748 = -1772 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 - 13 = 0. Suppose -10 = 2*f + 4*k, t*f - f - 4*k = -11. Let i be 350\/12 + f\/18. Solve -i + 4 = 5*h + l, 2*l = -2*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:31 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 0.1, 0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.4 + -24.2. Which is the smallest value? (a) k (b) -2 (c) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-234))\/(0 - 2\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 1159*m**8\/56 - m**4\/12 + 55*m**3\/6 + 5*m**2\/2 + 13*m - 22. Find the third derivative of c(p) wrt p.\nAnswer: 139080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21)*98\/140.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69200241 to the nearest integer?\nAnswer: 8319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.476 plus 1604?\nAnswer: 1605.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -3. Let v = r + 0.7. Let x = -0.124 + 0.024. What is the closest to 2\/5 in 3, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(6*((2*sqrt(500) + sqrt(500))*-2 + sqrt(500))*4)**2.\nAnswer: 21600003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4489446*o**2 - 19342082*o?\nAnswer: -8978892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 21*m**2 + 69*m - 76. Determine l(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*v = 4*c - 478, -2*v = -c + 94. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2562*f + 2336*f - 17628 = 0 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -3036?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 9*l**2 + 11*l + 11. Let v be g(10). Suppose -v*t - 142 = -457. Let u be (-4 + 1)\/3 - -6. What is the greatest common divisor of u and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/2 of a microgram?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 12:04 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.6 + 0. Let p = -0.04 + -6.96. Let x = p - g. Which is the smallest value? (a) 5 (b) x (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 85, 1, 24, -20, -110 in decreasing order.\nAnswer: 85, 24, 2, 1, -20, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3020\/44631 + 2\/1539. Let j = -35\/87 + b. Which is smaller: -2\/3 or j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from gppw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6 + 12. Let b = -30 + c. Calculate the remainder when 25 is divided by (11 - 0) + b\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 6*h + 610. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-1)\/(-6)). Let c be (40\/(-28))\/(4\/(-56)). Solve 5 = h*z + c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/(3\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(sqrt(45)\/(sqrt(30)\/sqrt(6))) + sqrt(1872) + -2 + sqrt(1872) + -2)*5)**2 + 0.\nAnswer: -5000*sqrt(13) + 203525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*n**2 - 22*n**3 - 2 - 18*n**2 + 2 to the form r*n**2 + q*n + v*n**3 + z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1947634, 3895263, 5842892, 7790521?\nAnswer: 9738150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 11. Solve q = -2*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/4 + 957*q**4\/2 + 3813*q**3\/2 + 2856*q**2 + 7611*q\/4 + 951\/2.\nAnswer: 3*(q + 1)**4*(q + 634)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-7)*(-226)\/58421*2021.\nAnswer: 86\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/16*(-16)\/(-80)*(-60)\/9?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2924*j**2 - 602*j - 301. Let m(p) = -39*p**2 - 8*p - 4. Calculate -301*m(g) + 4*t(g).\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v + 6. Let s be d(-6). Let l be 1 + (1 + s)*-28. Calculate the remainder when (-6)\/(((-12)\/l)\/(-2)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012 - -1002000?\nAnswer: 200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 8*k**2 + 5. Give u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5141.\nAnswer: 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.24932l in millilitres?\nAnswer: 32249.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*o = 10, 4980*o - 40 = 7*i + 4979*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3*r**2 + 4*p**3*r + 2*p**3 - 291*p**2*r**3 - 2*r**3 + 98 wrt r.\nAnswer: -2*p**3 - 1746*p**2*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.85 + 2. Let c = g + -9.15. Let b = 8.1 + c. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b**3 - 5*b**3 + 2*b**3 - 8*b**2 - b**3 - 4 in the form p*b**2 + u + a*b**3 + c*b and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 33.247?\nAnswer: 33.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 35. Let r(g) = -3*g + 2. Let y be r(6). Is p(y) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*u + 9, 3*v - 55 = 3*u - 8*u. Which is the nearest to 0? (a) -3\/4 (b) 0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224 or -226?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487*t = -1452*t + 1295 - 1575 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -1 + -2)*-3*-113. Let q = -330 - a. Solve -6 + q = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f4 - -249ee?\nAnswer: 248fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 2}. Give prob of sequence nnk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 2:57 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 140 = -290. What is the remainder when f is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*2\/10 - 2\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 65.3. Let n = o - -0.7. Let z be (6\/(-10))\/(6\/8). Which is the second biggest value? (a) n (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 11*y + 4. Let x be (-8)\/32 + (-90)\/(-8). Let s be p(x). Let h = 292\/3017 + -2\/1293. Which is the third smallest value? (a) h (b) -3\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -38. Let w be (-130)\/4*9656\/85. Does 19 divide (f\/4)\/((-39)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (7 - 7)) + -2 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/7)\/k)\/((k\/k**(3\/5))\/k)*k*k**(1\/2)*k**(-2\/3) assuming k is positive.\nAnswer: k**(-89\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4701765 - 4.\nAnswer: -4701769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -0.109?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*j - 5*n, 1 = -5*j + 3*n + 14. Let q be (104\/10)\/(j\/(-310)). Let u = q - -12853\/8. Calculate the common denominator of -65\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - t + 134, -4*t = 3*j + t - 130. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 393, -2\/11, -2\/7.\nAnswer: -2\/7, -2\/11, 3, 19, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (7 - (8 + 14 - -3)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 + 191. Let a(l) be the first derivative of -5\/7*l**2 - 8\/21*l**3 - 1\/14*l**4 - 4\/7*l + p. Let a(s) = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Suppose 4 = 4*v - 4. Let a(y) = -3*y**2 + 2*y**2 + v*y**2. Calculate a(i(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 20 - 27. Suppose g*y = 3*y + 20. Suppose -4*k - 3203 = y*w + 10081, k - 10644 = 4*w. What is w rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15*(-6)\/75)\/(12\/30). Let j(i) = -i**2 - 10*i + 2. Give j(f).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*b - 77*b = -3*m - 19, -5*b = 2*m + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 186078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421 + -418. Put -4, d, -7, -2 in decreasing order.\nAnswer: d, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303 (base 6) to base 12.\nAnswer: -533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1210?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28 - 1.02. Let a = -0.5 - i. Let h = a + 4.2. Sort h, -2\/3, 0.2 in decreasing order.\nAnswer: h, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -4, -33, -5, 11, -0.5, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (63\/(-2))\/(6\/(-12)). Let f = 70 - d. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1323826964 divided by 4.\nAnswer: 330956741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Solve -4*o + 12 = 2*m, 2*o - 22 = -5*m - q*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 224 + 3*t**4 - 3*t**4 - 225 + 2*t**4 as a*t**3 + r*t + h + c*t**4 + z*t**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91281 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 197289157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {d: 1, s: 1, c: 1, o: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 4 = -23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 8. Suppose 7 = 2*w - 3. Suppose -w*q - 3*k + 39 = 0, 0 = 2*q + 3*k - 23 + 2. What is c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8768.713 decades to years.\nAnswer: 87687.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/5))**(-14)*f**(-5\/12)*((f*f**(-1)*f)\/f*f)\/f assuming f is positive.\nAnswer: f**(647\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**3 + 1293*l**2 - 16*l - 16*l - 13*l**3 - 33*l**4 + 32*l wrt l.\nAnswer: -792*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i = -190 + 310 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110011 (base 2) to base 9.\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**3*t - 187*b**2*t - 1504*b*t wrt b?\nAnswer: -42*b*t - 374*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**4 + 9*r**3 + 8*r**2 + 3*r. Let n(w) = 8*w**4 + 19*w**3 + 16*w**2 + 5*w. Let z(g) = -3*n(g) + 5*v(g). Factor z(l).\nAnswer: -4*l**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1789044 is divided by 223626?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7665, -16444, -26373, -37458, -49705?\n\"Answer: -v**3 - 569*v**2 - 7065*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1058 times -20\nAnswer: -21160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62*(-3)\/(-186)*6\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 40 = -5*o, o = 5*i - 2*o - 16. Suppose -5 = -i*y + 25. Suppose -u - y = -20. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 + s**2 - s + 1. Let x(a) = -a - 3. Suppose 0 = -3*h - 5*q - 12, 8*h + 20 = 3*h - 3*q. Let u be x(h). Give f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = 4*h - 58, -4*h + 23 = -l. Suppose -2*y + h = -5. Let v = -6893 - -6895. Solve v*j + 4 = -k, k = y*k + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than or equal to -7086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 550757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136*u - 25*u**2 - 136*u + (3*u + 0*u - 4*u)*(3 - 3 + 2*u) + 2*u**2 + 0*u**2 + u**2.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0 - 2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5588983, 0.1, -0.4.\nAnswer: -5588983, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 2*i - 6 + 6. Let a(b) = 2*b - 3*b**2 + 3*b**2 + b**2. Let u(t) = 2*a(t) + 4*v(t). Let s(c) = -2*c. Calculate s(u(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 233130 (base 4) in base 5?\nAnswer: 44121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5 - 2\/5*h**2 - 12\/5*h.\nAnswer: -2*(h + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0*c**2 + 0 + 0*c**3 + 33*c + 3\/4*c**4. Let n(w) = -3*w**2 + w**2 + w**2. What is o(n(p))?\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spa when three letters picked without replacement from asphh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:43 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -13, -0.9 in descending order.\nAnswer: 4, 0.1, -0.9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5535 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -32. Suppose 0 = 2*x + 2, -4*y + 3*x = -87 - 292. Suppose y - 4 = c*w. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 7 = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 35*s**2 - 25*s + 52. What is the tens digit of g(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380595.5762 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 321 + -172. Suppose 0 = -8*p + 1869 - 1629. What is the remainder when a is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13817088 divided by -215892\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -440, -681, -936?\nAnswer: -1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-234)\/216*(-4)\/26.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -43, -3, 3, 5.\nAnswer: -43, -3, 0.2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*g - 1, -8 = z + 5*g - 49. Suppose c = 2 + z. Calculate the remainder when 67 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -542*k**2 - 117*k wrt k.\nAnswer: -1084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*p*u**4*w + 2*p*u**4 - 268*p*u**3 - 2*p*u**2*w - 10*p*u**2 + 4*p*u*w + 2*p*w - 2*p wrt u?\nAnswer: 144*p*u*w + 48*p*u - 1608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 905780*t.\nAnswer: 2*t*(t - 452890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*g + 24 = 0. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*t - 2, 98*c + 10 = 100*c - 4*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 25111870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 3*w**2)*((4*w - 4*w - w)*(64*w**2 + 49*w**2 - 119*w**2)*(-2 - 1 + 1) + 3*w**3 + 0 + 0 + (-2*w**2 + 5*w**2 - 4*w**2)*(0*w - 2*w + w)).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 45 = -2*z + 6*z, 2*z = -2*c + 30. Let q = 10 - z. Solve 3*x + 2*i - 3 = q, -3*i + 13 = -5*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055 is divided by 229?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 0. Suppose 0 = 5*c - 5*r - 35, 0*c + n = 3*c + r. Suppose 0 = -4*w - 4*s + 232, 178 + 9 = c*w - 5*s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -21771a2?\nAnswer: 2177195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uguguuuggugrggg. What is prob of sequence gg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.3830953 rounded to one decimal place?\nAnswer: -192.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89475259 is divided by 668?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*f - 729, 2*f - 2*m + 689 = 205. Let s = f + 488. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + -3 + (-9 - -12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1806786 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -85. Which is the second smallest value? (a) n (b) 0.11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 2.98. Let g = -1.78 - -2.2. Let d = 0.02 - g. What is the third biggest value in -2, d, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1652 by 4.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20549, 20547, 20545, 20543, 20541?\n\"Answer: -2*j + 20551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + 4 + sqrt(363)).\nAnswer: -55*sqrt(3) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -213043310 (base 6) in base 15?\nAnswer: -4eb78c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -147. Which is bigger: u or 109?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 13*b - 10. Suppose b*m = -f + 328, 0 = 4*f - 4 - 4. Suppose 4*g - m = -59. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -0.3. Let x = 236.8 - 235.3. Let s = h - x. Which is the nearest to 1\/3? (a) 2 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 7) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2848337456, 2848337459, 2848337474, 2848337507, 2848337564, 2848337651?\n\"Answer: u**3 - 4*u + 2848337459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {x: 4, w: 1, h: 1, e: 1, p: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 170.\nAnswer: 48\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*k - 55 - 309, -4*s + 729 = -3*k. Suppose -s*f + 160*f = -712793. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80, 645, 2178, 5159, 10068, 17385?\n\"Answer: 80*r**3 + 4*r**2 - 7*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c + 6 = 3*k, -3*c - 3*k = -3. Suppose 0 = -c*i + 135 + 42. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = o + 49, 2*j = -j + 5*o + 137. Calculate the remainder when j is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2. Let u be 10\/6*(19 + -5 - 5). Let t(k) = 25*k - 7*k - u*k - 13*k. What is z(t(s))?\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and -139106.3.\nAnswer: -4034082.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2940.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 - 12357*d**2 + 612704925*d\/4 - 23745369375\/2.\nAnswer: (d - 24675)**2*(d - 78)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 0.15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -4, -32, -72, -124, -188?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d + 92. Let c be f(17). Let g = c - 150. What is the remainder when 118 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 3. Let u be m(3). Suppose -4*t + 5*p = u, -5*p - 3 = 2. Let v = 3 - t. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2334092 - -3?\nAnswer: 2334095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1554 and 44093453.\nAnswer: 44095007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1464? (a) -2\/149 (b) -4 (c) -3\/5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1429207 divided by 29.\nAnswer: -49283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323 - 320. Let s(i) be the second derivative of 0 + 0*i**4 + 1\/5*i**5 + 1\/2*i**3 + y*i + 0*i**2. Find the second derivative of s(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/6 - 2\/4. Let a(p) be the first derivative of -p - 3 + q*p**2. Calculate a(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45074719 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/3 + 7 + 2359\/(-210) and 29\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 25 (b) 40 (c) 74358\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1592322464 and 664?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(15\/42))\/(-22 + 1342\/55)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 955*t + 44400.\nAnswer: 5*(t + 80)*(t + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 c when four letters picked without replacement from {c: 1, x: 3, i: 12}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (19 - 10 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c. Let t(d) = 20817827*d**2. Calculate t(v(u)).\nAnswer: 187360443*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-49)\/(-2) - (-8)\/(-16). Suppose -14 - m = -v. Suppose -v = -3*l + 16. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*u = 17, -15*s - 364*u + 48 = -353*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*g**3 + 120*g**2 - 2 - 123*g**2 to m*g**2 + p + y*g**3 + r*g and give y.\nAnswer: -6","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 waookohkkowkoooo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 + 5*f**2 - 9*f - 4. Let k(o) = -6*o**3 + 4*o**2 - 8*o - 3. Let a(m) = -5*k(m) + 4*w(m). Is a(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 9 = 13*f. Suppose f*j + 3*j - 12 = 0. Suppose 69 + 87 = j*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6783 - -306?\nAnswer: 7089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 190*j**2 - 2513*j + 17986. Determine h(202).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/3)\/u*u*(u**(-18)\/u)\/u*(u\/((u\/(u*u*u**(-2\/27)*u*u))\/u*u))\/(u\/u**(-7)*u) assuming u is positive.\nAnswer: u**(-695\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -844139 and 0.015.\nAnswer: -12662.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 - -467. Suppose 0 = -4*r + 164 + 380. Let d = t - r. List the prime factors of d.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*l**2 - 2073*b**3 - 1086*b*l**2 with respect to l.\nAnswer: -2*b**3*l - 2172*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 98\/1273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75\/22 + 10\/11. Let n(i) = -i**2 - 34*i - 291. Let j be n(-17). What is the biggest value in -5, r, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*d + 4*q + 23, 2*q + 2 = d. Let f be -3 + (-2 - d) + 4. Suppose f = -g + 5. Put g, -3, -4 in ascending order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 4895?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -p + 7*p. Let y = -82 + p. Let u = y + 37. Solve -6*q + 2*s - 11 = -q, 14 = -u*q + 3*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5520*l + 132463. Calculate p(24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*g - 2, 0 = -21*g + 18*g + i + 11. Let r(h) be the second derivative of 1\/10*h**4 - 8*h - 1\/50*h**5 - 4\/5*h**2 + 0 + 0*h**g. Solve r(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 4*r + 2*r)*(-2 - 1 + 4) - 75 + 75 + 107*r to i + a*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4438 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 26 - 2 - 1) + 65.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*a + 37, 5*a - 6*o = -2*o + 41. Suppose 6*j - a*j - 17 = 0. Calculate the remainder when 32 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34d + 0?\nAnswer: -34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14440 or -45329?\nAnswer: -45329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(180\/(-8)) + 0\/(-1). Which is the third smallest value? (a) 1 (b) v (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -196 in ascending order.\nAnswer: -196, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 7*w**2 + 4*w**3 - 7*w**2 + 15*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1233253736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 105 = -5*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14875 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661373113.\nAnswer: 37, 2399, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1)\/w)**(-9)\/(w**(2\/9)\/(w**10\/w)) assuming w is positive.\nAnswer: w**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 2*o**2 + o**2 + (2 - 1 - 3)*(-o**2 - o**2 + 0*o**2) + 2*o**2 - 3*o**2 + 2*o**2 + 2*o**2 - 5 + 5.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21106 and 17812?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 1, u: 5, p: 3}. What is prob of sequence uh?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 3*m - 3*m)*((1 - 3 + 1)*(3 + 0 - 2) + (10 + 2 - 4)*(3 + 4 - 4)*(1 + 0 + 0)).\nAnswer: 69*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -250, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d. Let a = 11 - 8. Suppose 5*v - 277 = -4*l, a*l - 204 = -d*l - 3*v. Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44c (base 14) in base 11?\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(76) - sqrt(76))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685350*g = -686603*g - 1253 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1243356 - 2?\nAnswer: 1243354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1530*g = 142*g - 59684 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11682?\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Suppose -x*r + 437 = 2*a, -419 = -2*a + r - 0*r. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9 - 1)*1)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 6*m + 6. Let u(o) = -8*o + 41. Let f be u(6). Let l be (-2 - f)*-1*1. Determine p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + 0 + sqrt(245) + sqrt(245))**2 + 1) + 5 + (3*(1 + 2*sqrt(245) + sqrt(245)))**2.\nAnswer: 630*sqrt(5) + 16889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 72001*u**2 + 4*u - 5. Suppose -6*b + 11*b = 20, -2*b + 18 = 5*q. Suppose -q*m = -0*m + 10. Let w be k(m). Round w to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/136*88)\/5\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a\/(a*a**(-3\/17)))*a)*a*a**(-30\/7) assuming a is positive.\nAnswer: a**(-489\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -189454*f - 1894519. Give x(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/17, 2, 3.2 in descending order.\nAnswer: 3.2, 2, -10\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*f + 18, -5*i + 25 = f - 8. Let a = i + 28. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 2.6, 24, 2\/15, 0.3, -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 26. Let r(y) = -y**3 + 3*y**2 + 3*y + 3. Let a be r(s). Is (-10 - 249)*a*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 895883*a + 541900 wrt a.\nAnswer: 895883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 1.1, -0.55?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -32*u - 2292. What is c(-49)?\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.596, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 84*h**2 + 427*h + 1808. Determine y(-79).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 12*q - 24. Let z be a(9). Let w be 1089\/12 + z\/(-4). Suppose 3*d + 2*c + c - w = 0, 20 = -4*c. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 3*d - 8*d. Suppose 5*k + 2*j - d = 7*j, -2*k = j + 3. Solve -2*u - 2*u + 12 = k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*g - 2*u + 4, 2*g - 4 = u. Suppose f - 12 = -g*f. Sort 3, f, 5.\nAnswer: 3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 37.5. What is the nearest to 5 in 0.4, 0, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003125 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*v, 0 = -4*c - 3*v + 11. What is the derivative of -c*r + 1 - 5 + 5 wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403870756.\nAnswer: 2, 3, 7, 53, 67, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 22. Suppose f = 5*y - 2. Let r be (11 - -4)*(-8)\/(-24) - 3. Solve k = m - r + 3, 10 = y*k - 2*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 4*q**3\/3 + 13*q. Let u(h) be the third derivative of h**5\/4 + 45*h**2 + 1. Determine c(u(o)).\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 939617867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 + 44565*s + 1431200 = 0. What is s?\nAnswer: -32, 8945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 6*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32575 and 40?\nAnswer: 260600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -531980, -531951, -531922, -531893, -531864, -531835?\n\"Answer: 29*i - 532009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.2, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9407?\nAnswer: 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*n = -601*n + 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8.096*12370\nAnswer: 100147.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241\/9 - 967\/36. Which is the second biggest value? (a) -3 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 2*v + 0*v**2 - 7*v**3 + 4*v**3 + 1 + 2*v**2. Suppose -20*f = -25*f - 5. Give l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4100 + -321110?\nAnswer: -325210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/44)\/((-2)\/(-12)). Is -3*((-415)\/r - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 3*d. Let u(q) = 4*q - 1 + q**d - 1 + 3 + 2*q. Give u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - 1 + 4 + 7*g - 2 + 5*g**2. Let a(b) be the second derivative of b**4\/4 + b**3\/3 - 1096*b. Give -7*a(f) + 2*w(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/1)\/(-1 - 0). Suppose -n = c*g + 14, 5*n - 1 = g - 19. Let f = -4429 - -4428.6. What is the closest to g in 0.4, -2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/27*486\/(-1512).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from {a: 1, h: 2, b: 1, d: 4, y: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*j + 14 = -0, -4*m - 5*j = -m - 2*m - 32 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78007075*k**4 + k**2 - 6*k + 3699769.\nAnswer: 1872169800*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*l**2 - 9*l**2 + 82*l**2 + 62*l**2 to j*l + f + o*l**2 and give o.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7254623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - r - 16 = 0, 5*a + 4*r = r + 8. Let u(m) = 10*m**2 + 0*m - 2 - 3 + m + 0*m. Is u(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 91*x - 12. Let b be o(2). Let u = b + -74. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + h - 16 = 0, -2*h - 1 = l. Let i be (-4)\/(3 + -2 + l). Let o = -143108 + 143126. What is the greatest common divisor of o and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -1 (c) -31 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, -953, 4 in decreasing order.\nAnswer: 4, -4, -24, -953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 - 15389836*r**3 + 30779688*r**2 = 0. What is r?\nAnswer: -3847461, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1509 = 24*t - 1293 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-20) - (-2)\/10. Let s be (-1)\/2*0\/1. Suppose -5*p + 7 + 8 = s. Solve j = 2*y + 1 + p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66779.\nAnswer: 43, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020668787 rounded to 4 dps?\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11 - 41 + 10 + 14 - 2*x + 13. Let k(n) = 6*n - 20. Give -11*h(j) - 4*k(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r - 2*r - 2)*(2 + 1 - 7)*(3 + 0 - 4)*(-3 + 1 + 3) in the form c*r + l and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 19*y + 20. Determine n(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -892\/93 + 8\/31. Calculate the common denominator of j and 37\/13062.\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2272.4 and 45831242.\nAnswer: 45833514.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206231 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9}. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 38305*v**2 + 111*v - 17. Is m(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 13.9, 1.53 in ascending order.\nAnswer: -20, 1.53, 13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167 - 6?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134913642?\nAnswer: 2, 3, 19, 199, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2733330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17492 is divided by 626.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 31, 91, 207, 397?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -42 + (-65 - -9 - (7 - -2)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 8*y**3 + 15*y - 25*y - 2*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -16. What is the units digit of 2\/(o\/3)*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 15*s**2 - 252*s - 3. Let l be h(-25). Solve -l*f + 144 = -23*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -88579, -88571, -88563, -88555, -88547?\n\"Answer: 8*z - 88587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 214.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13490)\/(-22) - (-12)\/(-66) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101.69 - -102. Let s = 265.5699735 - 265.26. Let x = s - g. Round x to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/5 - (-52)\/65. Suppose -2*p = h*w - 1636 - 111, p = -5*w + 876. Calculate the greatest common divisor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*z - 51. Solve 2*y = u + u, 6 = z*u - 3*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 58*w + 652. Let r be u(-11). What is j in -16\/5*j + 8\/5 - 134\/5*j**2 + r*j**3 = 0?\nAnswer: -2\/7, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 67 + -29 - (-7 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.72083 nanoseconds?\nAnswer: 0.00000672083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15618, -15795, -16090, -16503, -17034, -17683, -18450?\nAnswer: -19335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 205 = -3*b. Suppose 4*l = -5*f + b, -17 = -2*f + f - 3*l. Solve 0*p - f*p = -20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24 + 213048\/48)*(-6)\/(-1)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011110101111111000000010 - -1?\nAnswer: -100011110101111111000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130830 and 86?\nAnswer: 5625690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1382581 and 1382581 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23415891364 - -639956311130437\/27330. Let i = q - 6\/911. Calculate the common denominator of 61\/5 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49390, 48167, 46944, 45721, 44498, 43275?\n\"Answer: -1223*p + 50613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-13 - -9) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 + 7 + 2 + -3 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 4. Let n be h(-2). What is the tens digit of (-88)\/12*(n - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -556 + 10*s**2 + 5*s + 1676 - 561 - 565. Give q(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 2*g**2 + 2*g. Let p(c) be the third derivative of c**6\/20 + c**5\/6 + 5*c**4\/12 - 25*c**2. Give -16*f(m) + 3*p(m).\nAnswer: 2*m**3 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u, -r - 5*u = -16 + 2. Let p(b) = b**2 - b - 3. What is the least common multiple of p(r) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -7, 308, 2, 0.3, -2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 - 5*d**2 - 3*d**3 - 9*d**3 + 0*d**2 + 13*d**3 - d - 17. Suppose 12 = -4*g - 4*a, 3 = -5*g - 3*a + 2*a. Determine h(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1277*t - 4319*t + 16124*t + 36641*t.\nAnswer: 49723*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 445 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 38 = 2*u, 2*u + s + 30 - 93 = 0. Let w = -177 + 346. What is the remainder when w is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1321*l + 117. Let z = -298 - -291. Let s be p(z). Round s to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64.6 + -65.68. What is the closest to z in -0.2, 0.1, -0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19 + (-1833)\/182 - 4\/(-56). Solve 0 = 3*i - f - 6, 17 = -2*t + 5*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 3274775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 85411.14 millennia?\nAnswer: 1024933680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-6) - (-4)\/(-6). Sort -6\/7, -1\/5, t.\nAnswer: -6\/7, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1083, 2178, 3271, 4362, 5451?\nAnswer: 6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -w - 4*v - 2, -4*w = -4*v - 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fubggffbrgrgggbgggg. What is prob of sequence gbbg?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8403 - -8408. Which is the fourth biggest value? (a) -63 (b) 4 (c) 6 (d) 1\/3 (e) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 9*x**2 + 9*x - 6. Suppose 0 = -2*q + 25 - 9. Calculate the lowest common multiple of 6 and h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 - 4.8. Let f = 31.2842 - -0.0158. Let a = n - f. Round a to 0 decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87225281 - 191655281. What is w rounded to the nearest 1000000?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**3\/6 - 34*x. Let c(o) = 4*o - 3. Let q(n) = 6*n - 6. Let t(u) = 11*c(u) - 6*q(u). What is g(t(k))?\nAnswer: -8*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) 1146 (b) -4\/7 (c) 0.2 (d) -0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooc when four letters picked without replacement from {c: 12, o: 3, s: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, -2\/3, 7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.8 - -22.8. Which is the third smallest value? (a) 0.1 (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 5*z**3\/3 + 4. Let j(c) = -26*c. Let o(u) = 7*u. Let q(h) = -6*j(h) - 22*o(h). What is l(q(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**4 + 566*b**3 - 1644*b**2 = 0. Calculate b.\nAnswer: 0, 3, 274\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.964067 centuries in millennia?\nAnswer: 0.7964067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3160802?\nAnswer: 2, 19, 223, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -4. Find the third derivative of -6*c**2 - 3*c**d - 3 - c**2 + 3 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/196812 and 123\/280.\nAnswer: 1968120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/7 (b) 57 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 - 689 = -48*s. What is the lowest common multiple of s and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.04, -1.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10)\/((-21)\/15). Let k be (-8)\/(-10)*10\/(-4). Let j = k - -1. Sort 1, j, z in increasing order.\nAnswer: j, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 36726, 19 in ascending order.\nAnswer: -11, 19, 36726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*-1*(-1)\/10. Let p = 0.3 + -0.25. Let m = p - -1.95. Which is the nearest to m? (a) 2 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40557 = -66*g + 15543. Let m = g - -394. Suppose 17 = 5*u - 283. Calculate the greatest common factor of u and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2*(-15)\/(-6). Suppose -12*t = 5*q - 6*t - 74, 3 = -3*t. Suppose 41 - q = f*u. Solve -u*m - 2 = -3*a - 6*m, a + 6 = 3*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 566, 854, 1142?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 85*b**2 + 1 + 70*b**2 - 234*b**2 - 2*b - 211*b**2. Let p be v(1). Calculate the common denominator of p\/(-54) - -2 - -1 and 27\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14961, -14957, -14953, -14949?\nAnswer: -14945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7395 - -8068. Which is greater: 670 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 7 + -10 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*p = -39, -p + 5*p = h - 18. Let k = 6 + h. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -25, -24, -9, 26, 87, 180?\n\"Answer: k**3 - 2*k**2 - 8*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.934619 months in decades?\nAnswer: 0.116121825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 4*w - 6. Let p(a) = 20*a**2 - 31*a - 12. Let t(h) = -13*h**2 + 21*h + 7. Let v(l) = -5*p(l) - 7*t(l). Calculate -7*j(n) - 4*v(n).\nAnswer: n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {s: 1, l: 1, h: 1, p: 1, q: 3, j: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldq when three letters picked without replacement from {d: 6, c: 4, l: 3, q: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 - 481462*w**2\/3 - 1925840*w\/3 - 5777512\/9.\nAnswer: -2*(w + 2)**2*(w + 722189)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 22. What is the smallest common multiple of 35 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10)*6\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.43651us to milliseconds.\nAnswer: 0.00143651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 5*k + 4*k**2 + 4*k)*(-3 + 4 - 2) + (-2*k + k**2 + 2*k)*(0 + 0 - 3) + 2*k**2 - k**2 + 0*k**2 + 0*k + 0*k - 4*k**2.\nAnswer: -10*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 o when four letters picked without replacement from cwncwcwncccncccnnno.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37519, 75033, 112543, 150049, 187551, 225049?\nAnswer: 262543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 526.9912us?\nAnswer: 0.5269912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1685854 and 44.\nAnswer: 1685898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppbpbpbpbbbpbbpppb. What is prob of picking 1 p and 1 b?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**2 + 4*y - 2. Let t = -303 - -305. Calculate a(t).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2 - 2*s**2 - 2*s**2 + 2*s**2. Give f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/5 + 183*n**3\/5 + 3879*n**2\/5 + 10017*n\/5.\nAnswer: n*(n + 3)*(n + 21)*(n + 159)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = s - 8, 41 = -s - 5*k + 61 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 14*t + 2. Give j(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -499.92931, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64079 and 3001149?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 8. Let g(a) = -2*a + 5. Let r be 6\/(3 - 18\/8). Let l(p) = r*g(p) - 5*o(p). Let k(s) = 3*s. Give k(l(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5870139.\nAnswer: 3, 11, 177883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -1 + 7. Let l(r) = 2*r**2 + 7*r - 1. Let h be l(-4). Factor z**h - v + 0 - z - 2*z.\nAnswer: (z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:34 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -5*y - 3*z, -y + 3*y + z - 38 = 0. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9654 - -9654. Which is smaller: c or 0.0603?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -14 + -29 + -13?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 32*f**3 + 2*f**2 - f + 1. Let o be q(1). Let b = 43 - o. Calculate the least common multiple of b and -2 + (-2 - -1)*-6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 44 - (31 + 4) - (-81 + -1)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(2\/31)\/(r**2\/r)**10 assuming r is positive.\nAnswer: r**(-2174\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**2 - 1286*w + 1285. Let v be s(1). Solve 51*t = 2*z + 46*t + 23, -4*z - v = t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = p - 44, -p - 50*h + 45*h = -32 - 38 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(-4 + (sqrt(77)\/(sqrt(1584) - sqrt(1584)*2) - (-3 + (sqrt(70) - (sqrt(70) + -3*sqrt(70) + sqrt(70) + sqrt(70)))\/sqrt(10) + sqrt(7)))))**2.\nAnswer: 75*sqrt(7)\/2 + 4551\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 384*n**3*v**5 - 37*n**3*v**2 - 5*n**2*v**2 wrt v.\nAnswer: 23040*n**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/24 + 0)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140.6 + 140.8. What is the closest to a in 1\/2, 2, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26340245 (base 7) in base 8?\nAnswer: -11151120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 4)*(-1 + 2 - 3) + 17 - 231 + 647 + 625)*(u - 6*u + 0*u).\nAnswer: -5270*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 1. Let i be (4 - 4\/2)\/(-1). Let z be 0\/(-7)*(-1)\/i. Let o be v(z). Do 1\/6 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -411 + 337.1. Let g = 80.9 + r. Let j be 6\/10*2\/(-3). Which is the biggest value? (a) g (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*d - 314*d + 67*d = -59*d - 16170 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 124*d**2 + 9*d.\nAnswer: -124*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*c - 56, 2*c + 2*c = x - 14. Suppose -k = -7*k + x. Solve -2*j = -5*f - 2, k*j - 2*f = -2*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + -25 + (5 + 6 - 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16178 and -1.\nAnswer: 16178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -147, -157, -167, -177, -187?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -102122 (base 3) to base 14\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1154967*q + 1155021*q = -3078 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113222 + 3033?\nAnswer: 121310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -19 (c) -5\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891781089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19306884*p**3 + 35523883*p + 2.\nAnswer: 115841304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 14*w**3 - 74*w**2 + 120*w + 20. Give n(4).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 3)\/((-1)\/(-2)). Let l be (y\/(-6))\/((-2)\/(-4627941)). Let d = 5485294 - l. What is d rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + 7 + (47 - 52))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -1047 + 407. Calculate the lowest common multiple of h and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4061\/7 - -582. Let d = 0.04 + -5.04. Sort d, n, 0.1, 2\/7 in ascending order.\nAnswer: d, 0.1, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 799 divided by 17.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-29 - -40) + -15 + -57?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 218 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -72633?\nAnswer: -290532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 3, l: 2}. Give prob of sequence ly.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -14. Let n be 30\/25*5\/(-2). Put -5, n, z, 2 in ascending order.\nAnswer: -5, n, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -290596 at most -290449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 + -178 - (-62 + -17).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120 or 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22997355 * -7\nAnswer: 160981485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 350*f - 6318. Let g be d(-17). What is the greatest common factor of 3850 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2619 < -11\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, 19, 45, 81, 127, 183?\n\"Answer: 5*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 513 and 37107?\nAnswer: 111321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14*21\/(-36))\/((-24926)\/27192)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 386*r**2 + 8*r - 7. What is the tens digit of w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114*y**5 + 16*y + 91*y**5 - 183*y**5 wrt y.\nAnswer: 440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -772 - -772.0000004936. What is c rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24667 is divided by 398?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1700\/3617 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p. Let z(c) be the third derivative of 0 + 0*c**3 + 0*c - 12*c**2 + 0*c**4 - 1\/60*c**5. Give t(z(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.4, -4\/9, 337\/7, 2\/7, -19\/5, -1.1, -1?\nAnswer: 337\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 5*x, -5*k - 3 = -5*x - 18. Suppose -5*l + 165 = -x*l. Suppose 0*a - l = -3*a. Calculate the least common multiple of a and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 3*q**2 - 4*q - 4. Let g be d(4). Suppose 6*t + 4 - 52 = 0. Let w = g + t. What is the greatest common factor of 24 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3474690.\nAnswer: 2, 3, 5, 115823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*n - 5*c - 2, c = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*f - 167 + 682 = 0. Let l(z) = -4 - 2 - 5*z + 3. Give l(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/53 + 111\/265. Put 0.2, o, -4 in decreasing order.\nAnswer: o, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87 + 1)*(-6)\/24 + 68928\/3132?\nAnswer: 2\/261","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1401998 from -2283.017.\nAnswer: -1404281.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/20 - (-4)\/5. Let z = 3 + 0. Let r = z - 3.1. Put r, w, 5 in decreasing order.\nAnswer: 5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b18b (base 14) to base 6\nAnswer: -2144531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (37 + 0)*7173\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.9541 kilograms in tonnes?\nAnswer: 0.0269541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 323*o + 578 + 1\/4*o**3 + 35\/2*o**2.\nAnswer: (o + 2)*(o + 34)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 50*c**3 - 11*c**2 - 16*c + 101. Let u(m) = 10*m**3 - 2*m**2 - 3*m + 20. Determine 2*k(t) - 11*u(t).\nAnswer: -10*t**3 + t - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16120 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 10*j**2 - 19*j - 1. Let t be 0 + (-9)\/(-3) + 5. Let g be v(t). Let a = -20 - g. Solve -3 = 2*f - f - n, -a*n = 2*f + 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.394 - -478.394. Does -2 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037 times -0.3?\nAnswer: -0.00111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 42 + 1\/3*k**3 + 9\/2*k**2 - k. Calculate q(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3\/215, -65, 2\/7, -15\/7?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13 = 2. Is 20 a factor of (h + (-48)\/9)\/(1\/(-63))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8983 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -66*q - 131. Let t be o(-3). Find the first derivative of 181 - t*g**4 - 586*g + 586*g wrt g.\nAnswer: -268*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10276 - 10271. Let 7\/2*c**2 + 69\/4*c**3 + 1\/4*c + 20*c**y + 34*c**4 + 0 = 0. Calculate c.\nAnswer: -1, -1\/4, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1300 and 3380?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8012?\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*b + 3)*(7 - 7 + 1)*(-2*b - b + 4*b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2 (c) 39823\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 704.785241 to 2 dps.\nAnswer: 704.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 12 = -8. Let m be (4\/8)\/(6\/j). Which is the nearest to m? (a) 0.3 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 4*t**2 - 2*t**2 + (-10 + 18 + 11)*(2*t**2 + 2*t**2 - 3*t**2).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3499583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111.77 - -113. What is the third biggest value in -1\/5, q, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329 - -377. What is the derivative of y + 4 + 139*k**2 + 35 + 65 wrt k?\nAnswer: 278*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-3 - (-7 + 5 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56\/5*s + 0 + 64\/5*s**2 + 2\/5*s**4 - 22\/5*s**3 = 0 for s.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0, 3, 102 in ascending order.\nAnswer: -5, 0, 3, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -355641462 divided by 39515718?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -55. Suppose -4*g + 2*g = -3*y, g = -n*y. What is the third smallest value in -1, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:26 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -3, 9 in increasing order.\nAnswer: -3, 3, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20836?\nAnswer: 2, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -4*f - 396. What is the greatest common divisor of 121 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -4*g, -5*k + 3 = 2*g - 2. Suppose g = p - 0 + 4. Let b = p - -11. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 5*k**2 - 4*k - 5. Let z be v(-4). Let f be (-114)\/171*(1\/8 + 0). Put 0.5, z, 0, f in decreasing order.\nAnswer: 0.5, 0, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7340084 and 564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*k*w + 1350*b**2*k - 2*b**2*w + 9*b*k*w + 1010*b*w wrt b?\nAnswer: 8*k*w + 2700*k - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/4 + 4315*b**3\/2 + 438153*b**2\/4 + 1338155*b - 1449851 = 0.\nAnswer: -8579, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10231, 19190, 26881, 33304, 38459?\n\"Answer: -634*a**2 + 10861*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -2)*-5.\nAnswer: -25*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -394 (c) 0 (d) 6\/3613\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 13831?\nAnswer: 13833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -5. Let q = -7 - i. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(72)*2)**2 + 5 + ((-3*sqrt(400))\/sqrt(8) + 4)**2 + -3.\nAnswer: -120*sqrt(2) + 7668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -235619*d + 235619*d + 7267*d**2 + (-2*d + 7*d - 4*d)*(-3*d - d + 2*d).\nAnswer: 7265*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buxbuuku. What is prob of picking 1 k and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 + 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -5. Suppose -3*o + 3*b = -6, b + g = 2*o + o. Suppose o*i - 20 - 100 = 0. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170416253?\nAnswer: 7, 53, 459343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/25 + -7*7516\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 21080*s - 1014144.\nAnswer: (s - 21128)*(s + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-291)\/(-3) + (-88)\/88. Calculate the greatest common divisor of j and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let d be (-9)\/(-54)*-42 - 45\/(-7). Which is the biggest value? (a) d (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 4. Let o be k(-5). Let x = 17 - o. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/1521*2288\/480*30\/165?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7261000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*(-14 - 1496\/(-110))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*h = 225*h - 115*h - 108 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1833453.\nAnswer: 2\/1833453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25627 and -0.0615.\nAnswer: -1576.0605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 229 = -3*v, g - 244 = -3*v - 0*g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -13) + (18 - (-22 + (31 - -31)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*u + 3*u - 6*u)*(2*u - 4*u + u).\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17904\/5 or -5?\nAnswer: 17904\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3312 + 21?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108? (a) -2 (b) 4 (c) -273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808765.\nAnswer: 5, 161753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001889 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rni when three letters picked without replacement from rehniwheiiieieihiw.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 - p**2 + 0*p**2 - 22*p + 9 + 2*p**2. Let u be c(-11). What is the highest common factor of u and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 22 - 50 = 0. Calculate the common denominator of (-10)\/6*114\/8 and 6\/p + (42\/(-5) - 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:18 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (464\/4)\/((-1)\/(-7)). Let i(o) = 812 - 3*o**2 - l. Let k(f) = -2*f**2. What is i(k(u))?\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87196.\nAnswer: 2, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2 + 5*m + 5. Let z(g) = -7*g**2 - 6*g - 6. Let x(r) = -6*c(r) - 5*z(r). Let s(t) = t**2. Calculate s(x(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(35)\/sqrt(112))**2 + sqrt(180) + -1.\nAnswer: 29\/16 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 250 + -237. Let h(j) = -4 + 3*j**3 - j**3 - 3*j**3. What is the remainder when h(-3) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -8, -0.2, 15, -0.226, 8, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2152?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**6\/240 - 3*z**5\/160 - z**4\/32 + 7*z**3\/48 + 3*z**2\/8 + 2*z. Factor w(f).\nAnswer: (f - 3)*(f - 2)*(f + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*o**4 - 3*o**3 + 7*o - 2 wrt o.\nAnswer: 1164*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1292 - -9466. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 16*f**2 + 50*f + 288. Determine b(-13).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**2 - 4*u + 15. Suppose 2*a - 56 - 22 = 0. Suppose 0 = 4*r - a - 13. Let v(t) = 0*t**2 + 0*t**2 - 5*t**2 + 2*t - 7. Determine r*v(w) + 6*h(w).\nAnswer: w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:59 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33208204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*u + 11 = -5*u, -f - u = 8. Let q = f + 17. Suppose q*h = 3*h. Solve 2*a - 1 = b - 6, h = -5*a + 4*b - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12579 is divided by 110.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4*u = -99. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67676723 is divided by 2942466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c**5 - 7*c**4*w + 41*c**3 + 3*c**2*w + c**2 - 189*c*w + 10 wrt c?\nAnswer: 840*c**2 - 168*c*w + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxlgmlxlxxml. Give prob of sequence xxlm.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*q - 12. Let i be q + 3 + (-753)\/3. Is (2 + 2)*i\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1274641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 11*r**2 - 2*r**2)*(-r**3 + 3*r**3 + 0*r**3).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - -4 - 5) + (-5 - -24) - -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5\/4 (b) -9588 (c) 0.5 (d) -7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 245, 299, 377, 479, 605?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v. Let h be -2*3\/(-12)*10. Let g(z) = -5*z. Let j(o) = h*g(o) + 3*u(o). Let y(f) = -f. Determine y(j(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + m + 16 = g, 0 = -2*g + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 15 + 28)*(-58*o**2 + 65*o**2 + 2*o**3 + 2*o**3).\nAnswer: 84*o**3 + 147*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r - 4. Let v be s(7). Let i be 186\/4*(-1 + -1). What is the least common multiple of 2 and i\/v - 1\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - 47) + (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 9. Suppose h - 2*n = -19, -1 = n - 5. Let j be x(h). Solve j*g = g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - x. Let l = 1 - x. Let c be (-1672)\/(-874) - (720\/184 - 4). Solve z = -2*g + 3, l*g + c*z = g + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 - 14*t - 16640\/9 = 0. Calculate t.\nAnswer: -65, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*p - 7. What is the second derivative of 45*g**3 - 767 + 7*g - 39*g**p + 769 + 69*g**3 wrt g?\nAnswer: 450*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 6*t. Let 24*c**t + 2*c**5 - 4*c + 4*c - 5*c**4 - c**4 - 4*c**3 - 16*c = 0. What is c?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1926355 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4326 = -5*t, 3*d + d - 4323 = 5*t. Let c = -8607\/10 - t. Find the common denominator of (23\/28 - 1)*-6 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1737*h - 15559. Calculate g(-9).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 225*w**2 + 566*w + 1141. Calculate the remainder when h(-2) is divided by 92.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279\/2 equal to -1222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/24 - 73*o**2. Let n be (-1)\/(-1) + (-3)\/(-1). Suppose 0*q = n*q. Calculate d(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5201 - -5211. Let x = 6 + -2. What is the remainder when m is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2853 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 30*h + 2. Let z be w(1). Calculate the greatest common divisor of z and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -2\/33, 0.8?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - ((1 - 2) + 0). Let j be (-22)\/(-20) - 6\/4. Which is the nearest to 2? (a) j (b) 1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Let w(z) = z + 22. Let t be w(-20). Solve -5*m = 5*k, -3*m - x + 1 = t*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -156*f - 1272. Determine b(-7).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3480 divided by -870\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(567) - -5*sqrt(567))\/((sqrt(180)*1)\/sqrt(5) + sqrt(36) + (sqrt(1296)*2 - sqrt(36))).\nAnswer: 27*sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28.7373 and 0.6.\nAnswer: 29.3373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2 - 950676*p + 75315404748 = 0. Calculate p.\nAnswer: 158446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 876.0000775 - 876. What is p rounded to six dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5948244?\nAnswer: 2, 3, 165229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 27. Is b <= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 46*h + 6. Let q(a) = 9*a + 1. Determine -16*q(f) + 3*s(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11*j - 14. Let o(t) = t - 1. What is -18*o(g) + 2*v(g)?\nAnswer: 4*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 496 and 1?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114*v + 1102*v + 1114*v + 28*v**2 - 5540*v + 1112*v + 1098*v.\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 6*x - 5 + x.\nAnswer: -x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e1 + -9?\nAnswer: -1ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1479192 and 6320184.\nAnswer: 69522024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 8 = 14*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198615689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.046 + -10.346. Put j, -0.4, -0.1, -1, 36 in decreasing order.\nAnswer: 36, -0.1, j, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49447*m*o*r**3 - 8*m*o*r**2 + 3*m*o*r - 6*m*o + 5328*m - 2*o*r**3 - o + 61*r**3 - 4*r - 1 wrt r.\nAnswer: 296682*m*o - 12*o + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 k when three letters picked without replacement from {t: 3, b: 2, k: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 2*o + 62. What is g(0)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 15) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25924 divided by 1?\nAnswer: 25924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344 by 448.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042023 (base 5) in base 2?\nAnswer: 1100000111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 - t**2 - t + 5. Let z(v) = 6*v**3 + 2*v**2 + 2*v - 8. Let o be 13 + -2 - 2 - 1. What is o*u(f) + 5*z(f)?\nAnswer: -2*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 942*z**2 + 192*z wrt z.\nAnswer: 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from gkkkkkkgk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -2)*6 + sqrt(304))**2.\nAnswer: -672*sqrt(19) + 15040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91131 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u - 55*u = 20. Solve 4*a = y + 15, 0 = -u*y - 0*a - 4*a + 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42648817*w**4 - 2061*w**2 - 31*w + 10.\nAnswer: -1023571608*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**4 - 2. Let j(b) = -b**4 + 1. Let c be (-7)\/(-14)*2*-6. Let r(d) = c*a(d) - 30*j(d). Differentiate r(u) wrt u.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4 + 17*g - 3 - 15*g. Suppose 2*i = 7*i - 15. Calculate f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**2. Let z(b) = 5*b + 4. Determine z(c(o)).\nAnswer: -35*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.93333525 rounded to 3 dps?\nAnswer: 1.933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3141 - 1575 = -58*n for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 4. Suppose -58 = 3*x + 5*l - 44, 2*l + 2 = 0. Let w(v) = 3*v + 7. What is x*w(f) - 5*k(f)?\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**3 + 6*h - 2. Let k(v) = -v**3 - v + 1. Determine -5*k(y) - r(y).\nAnswer: -y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (13 + -25 - -10 - (7 + 60))) + 6\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*v + 4*i - 2, i = -2*v + 13. Suppose -9 - 45 = -v*b. Suppose b*f + 148 = 10*f. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -133 (b) -168 (c) 3 (d) 1\/3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 100045 - 68445. What are the prime factors of t?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by -4\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = -5*l, -11 = u + l - 14. What is the nearest to u in -3\/7, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3288892 at least 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 7*n - 6144. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 39. Let v = l - -114. Is v a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23202149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*h + 5*h - 51*h - 1215 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 27831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70601?\nAnswer: 17, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 65 (b) -0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d**3 - 17*d**2 - 17*d - 17. Let m(h) = -363*h**2 + 3*h + 2*h**3 + 3 - 362*h**2 + 728*h**2. Let y be 21\/14*(-68)\/3. Give y*m(k) - 6*w(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 110 = -b. Let m = b - -96. Suppose 5*u - 593 = -m*v, -v - 609 = -6*u + u. Does 31 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 244, 648, 1242?\n\"Answer: 95*b**2 - 71*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y + 2. Suppose -y*o = 2*b - 28, 2*o = 3*o - b - 12. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 12 = -22*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -21014*v - 273114. Determine t(-13).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-45)\/6)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(-29\/2)\/(p*p\/(p\/p**0*p))**(-16\/7) assuming p is positive.\nAnswer: p**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4484 (base 14) to base 13\nAnswer: 5537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = -2*p + 3*v, 2*p - 4*v = -2. Let g(u) = 6*u**3 + 2*u**2 - 2*u + 1. What is the remainder when (20\/12 + -1)*18 is divided by g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -39. Let k = 13 + p. Is k less than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 + 4 - 3 - 3*t**2 + 6*t - 4*t**3. What is g(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 12*m - 14*m + 5*p, -3*p - 17 = m. Put -4, -67, m in descending order.\nAnswer: -4, m, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, 0.2, -179, -429, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 325747*c**2*g**3 - 32*c**2*g**2 + c**2*g + c*g**2 + 3*c*g + 515554*g**3 wrt c?\nAnswer: 651494*g**3 - 64*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*s - 1806, s + 454 = -2*m + 3*m. Let c = -337 + m. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 20*g - 12 = 15*g, 0 = -3*g + 9. Which is the nearest to 0? (a) 0.4 (b) v (c) -10 (d) 0.143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Let h be w(-6). Suppose -2 = -4*p - 2*j, 0 = -4*p - 6*j + 2*j + 8. Let i = h + p. Solve -2 = 3*r + 5*z, -5*r = -i*z + z - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -1027*q + 1024*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83730 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22420987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/3)\/((-1)\/(-3)). Let h = -1 + 1. Let d(q) = -q**3 - q**2 + 30. Let l be d(h). Calculate the highest common factor of l and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.389619 rounded to 2 decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*w**2 - 92*w**2 - 126*w**2 + 60*w**2 + 32*w**2.\nAnswer: -224*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128269686561 - 128269686007.99999267. Let k = 553 - u. What is k rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*j - 2*d, 3*j - 11 + 5 = 3*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38697.\nAnswer: 3, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 25. Let m = w - 8. Suppose s = 3*q - m*q + 17, -15 = 3*q. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-169)\/((-338)\/(-18)))\/((-6)\/(-14)*-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 2*m - 1494, -4*m + 1498 = -5*p. Let a be p\/(-793) + 3\/((-18)\/6). Let y = 24\/61 + a. Is -1 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 12 + 25\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v + 1748 = 87*v - 2774. Sort -2, 0, v, 3 in increasing order.\nAnswer: -2, 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.82 + 0.18. Which is the closest to d? (a) 5 (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4)*b)\/b*b)\/b*b*b*b\/(b\/((b**(-1\/9)\/b*b*b)\/b))*b)\/(b\/(b**(1\/4)*b))**(-3)*(b**0*b\/((b**1\/b*b)\/b))\/(b\/(b**2*b*b*b)*b**4\/b) assuming b is positive.\nAnswer: b**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -115 + 100 - (-2 + -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -664*l**2 + l. Let j(i) = -4*i. Calculate t(j(u)).\nAnswer: -10624*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100048209.\nAnswer: 3, 503, 66301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*n + 20, 0 = -10*n + 5*n + 5*h - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20371*5.\nAnswer: 101855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3623 from 4.\nAnswer: 3627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 15921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/2 (b) 1 (c) 2638 (d) 3\/2 (e) -2\/7 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2\/15 - 58222*b\/15 + 4852\/5.\nAnswer: -2*(b + 7278)*(4*b - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 183. Let q = u - 95. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 705282640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 148 and 145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 345186?\nAnswer: 1725930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -5*m - 79. Let t = 239\/7 + m. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ouuouuooououou?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*1400\/(-2720)*64\/(-40)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 32*i - 255. What is w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 3*l**2 - 5*l**2 + (-l**2 - 4*l**2 + 3*l**2)*(-4 + 3 + 3) + 2*l**2 - l**2 + l**2 + (2 - 2 + 2)*(0*l**2 - 2*l**2 + 0*l**2).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w. Let h(t) = -3*t - 14. Let d be h(-9). Suppose 15 = 5*c - 2*c. Let k(g) = 13 + g - d - c*g. Determine k(a(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3256 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 10096?\nAnswer: 10096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28220332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/20 and (26\/(-9))\/(-1) + -10 + 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1518\/175 or 9?\nAnswer: 1518\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*2 + sqrt(114))*3*5)\/((sqrt(192)\/(sqrt(4) + sqrt(4)*2))\/sqrt(8)).\nAnswer: 135*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yipiyilpzpppiii. Give prob of sequence iiy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:41 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 + 2*j**3 + 0*j**3)*(j + j + 0*j) - j**2 + j**2 + j**2 + j**4 - 11*j**4 - j**4 + 0*j**4.\nAnswer: -15*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 2*z + 3*z)*(2 + 3 + 0)*(-4 - 12 - 1) to the form x + n*z and give n.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 773120711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*y + 72*y + 9*y**3 + 35*y - 6*y**3 + 89*y - 1 in the form m*y + t*y**3 + j*y**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-1*sqrt(78)*-3)\/(sqrt(96)*-2 + sqrt(6)) - (sqrt(26) - (sqrt(26) + sqrt(52)\/sqrt(2)*-2))\/(sqrt(18)\/(sqrt(9)*-1 - sqrt(9)))))**2.\nAnswer: 250*sqrt(13)\/7 + 9350\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 828, -5, -4, 5 in decreasing order.\nAnswer: 828, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/((-1230)\/(-40)))\/((-62468)\/(-582))?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.18885 * -0.1\nAnswer: 0.018885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 746047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by (-5 - -1 - -8) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35238427.\nAnswer: 7, 5034061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -123211*x - 4*x**2 + 1 + 95*x**3 + 123209*x + 0*x**2 - x**3 + x**2 in the form t*x + h + a*x**2 + c*x**3 and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-10)\/(-8))\/(-5))\/((-5)\/40). Let w(m) be the second derivative of -m + 0*m**3 - 3\/16*m**5 + 1\/10*m**6 + 1\/16*m**4 + 0*m**t + 0. Factor w(f).\nAnswer: 3*f**2*(f - 1)*(4*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 50 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 35, -0.02, 622.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 m when four letters picked without replacement from mbbmmbmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*t, -4667 - 334 = -z + 3*t. Does 78 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 5*o = 3*r + 45, 4*r - 4*o - 60 = 0. What is the greatest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3778759*w - 15115029. Give n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + (14 - 43 - -7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3993\/(-297) + (8\/(-108))\/(3\/(-18))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 575\/138 - 2\/12. Put -2, -3, v, -4 in decreasing order.\nAnswer: v, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let j = -330 + 331. Let v(t) = 37*t**2 + 97*t. Let d(k) = j*v(k) + 5*z(k). Find the second derivative of d(l) wrt l.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12991.\nAnswer: 11, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/28*119\/(-102))\/(9108\/(-352) + 29).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 910 - 751. What is the remainder when z is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(26\/5)\/(t*t\/((t\/t**(-2\/107))\/t)) assuming t is positive.\nAnswer: t**(1722\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7373*t - 7494*t - 2057 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4203429 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(11 + 76*o - 11) to n*o + v and give n.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 86ab1?\nAnswer: -86ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 13 + 3. Suppose 3*w + 2*s - 187 = 0, 4*w = -w - m*s + 315. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.98 and 983.\nAnswer: 982.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -55*v**3 - v. Let q(k) = -2*k - 5. Let y be q(-4). Let h be b(y). Is -1 - (-7)\/((-28)\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 44. Let a be c(-15). What is the greatest common divisor of a and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k - 5. Let t(a) = a**3 - 10*a**2 + 14*a - 7. Let n be t(9). Suppose -n*m - 20 = -34*m. What are the prime factors of z(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1011264651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 7*j**2 - 3*j - 4. Calculate the remainder when k(5) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 22*g**2 - 3*g - 118. Let q(x) = -24. Let z(p) = m(p) - 5*q(p). Calculate z(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (0 + 10 - (-36 - -39)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2430954 and 26470388.\nAnswer: 238233492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 3*j + 185. Let u be b(12). Let t(y) = y**2 - 2. Let r be t(3). Solve -r - u = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63569648 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -48 + 24 - (-18 + -50)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 30674430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 - -1102.5?\nAnswer: 1102.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - (-20923)\/539)\/((-6)\/(-3))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -16*i. Let c = -24667 + 148003\/6. Let y(k) be the second derivative of -c*k**4 + 0*k**3 + k + 0*k**2 - 6. Calculate u(y(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g - 4*g + g**3 + g - g - 2*g**3 + (2*g**3 + g**3 - 2*g**3)*(2 + 2 - 5) + 17*g**2 + 20*g**3 - 17*g**2 to f + u*g**3 + k*g + m*g**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -326.8?\nAnswer: -130.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325) + -2 + sqrt(325) + -1 + sqrt(325) + sqrt(325) + (sqrt(325) - (0 + sqrt(325))) + 2)**2.\nAnswer: -50*sqrt(13) + 8126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**6\/180 + m**5\/120 - m**4\/4 + 11*m**2. Let u(a) be the second derivative of o(a). Calculate u(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 2*a**3 - 1 + 2*a + 2 + 2*a**4 + 6*a**2 to the form j*a + y*a**4 + d + p*a**2 + w*a**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95110 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -28*n + 1. Let t be q(4). Suppose 468 = -5*u - 312. Let m = t - u. Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47747\/4 - 11936. What is the second smallest value in 1\/2, p, -28\/25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (4 + -19)) + (-426 - -465).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 6*a)*(a**4 - a**4 + a**4 + (2*a**4 + 0*a**4 - a**4)*(-2 + 0 + 0) + 2*a**4 - a**4 + a**4) - a**5 - 4*a**5 + 4*a**5.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 4:55 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-8)\/84*-7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 2 - (sqrt(19) + (sqrt(19) + 2 + sqrt(1216))**2).\nAnswer: -1541 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.606723 days to milliseconds.\nAnswer: 657220867.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103948 and 468.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38952 and 3480?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 7:01 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6 - (5 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -305, -458?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/21)\/(30\/(-210)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 546.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) 2\/21 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*v**3 - 2*v**2 + 3052*v + 6*v**2 + 4 - 3052*v as x*v**3 + w*v**2 + y + t*v and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-15\/8)\/n))\/n*n**7*n*n**(-19)*n*n*n**(4\/27) assuming n is positive.\nAnswer: n**(-1291\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*13 + 4 + -1. Let i = 20 - k. Let p(a) = a**3 - 3*a**2 - 4*a + 4. What is p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*a = -116*a + 112 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -175, 1\/6, 5, -11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.23 - 2.2. What is the smallest value in -5\/3, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*m + 1. Let g = -46.2 + 147.2. Let w = 97 - g. Which is the second biggest value? (a) m (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*sqrt(3)*1 - (1 + sqrt(27) + sqrt(3) + (sqrt(3) - ((sqrt(432) - (1 + sqrt(432))) + sqrt(3) + sqrt(3))))**2)*-2.\nAnswer: 14*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 139 + 332 - 148)*(-2 - 4 + 2) to n + v*m and give n.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -12\/5, -4.1 in increasing order.\nAnswer: -6, -4.1, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + 4*h**2 - 2*h**2)*(8*h**2 + 10*h**2 - 6*h**2) to the form z*h**4 + r + f*h + m*h**3 + y*h**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -25*(4 + (-90)\/25). Let n be 5\/v*(-4)\/2. Which is bigger: 1\/108 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -747 equal to -45767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6348 is divided by 2034.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j + 30*j + 6*j)*(-1 + 3*j**3 + 1).\nAnswer: 153*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*sqrt(560))\/(sqrt(55)\/(sqrt(33)\/sqrt(3))) + -3 + (5 + (1 + sqrt(252) - sqrt(252))*-1)**2.\nAnswer: 13 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -292, 0.5 in decreasing order.\nAnswer: 0.5, 1\/3, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 34.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - 69\/(-6). Suppose -p + y = -3. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 2*q - 2. What is i(-6)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 + 13 = 0. Let v = 45 - 65. Let n = 2 - v. What is the least common multiple of n and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 5*y - 3. Let j be k(-3). Suppose -q = 2*l - 11, 2*q + 49 = j*l - 3*q. Suppose -3*v + 134 = -2*c, 56 = v - 3*c + l*c. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 0*s**3 + 7*s**3 - 5*s**3 - 12*s.\nAnswer: 2*s**3 - 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b + 2. Let k be m(-5). Let i be (-3)\/(-5)*(k + -2). Suppose -w - 250 = -5*x, 127 + 25 = i*x - w. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tatt when four letters picked without replacement from aaaaaaatataata?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9464\/(-42) + (-2)\/(-6). Let y = n + 265. Let u(c) = c**2 - c - 1. Let j(g) = -7*g**2 + 8*g + 8. Give y*u(v) + 5*j(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**16*v)**(-6\/7) assuming v is positive.\nAnswer: v**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6196 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7196 divided by -3598?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let h = 15105\/60452 - -2\/15113. Sort h, 0.05, -2\/7, k in decreasing order.\nAnswer: h, 0.05, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4611 - -4212. Is 0 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 6. Let y be l(6). Suppose -19*t + 7*t + 48 = 0. Suppose y = -6*a + t*a. Solve -p - p = a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m - 707 + 709 - m)*(15 + 8 + 10).\nAnswer: -297*m + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) -2\/5 (c) -8101 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110 - 101111110?\nAnswer: -1000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 506545180 to the power of 1\/2, to the nearest integer?\nAnswer: 22507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5283, -0.1, -5, 3, 0.5 in descending order.\nAnswer: 3, 0.5, -2\/5283, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -16*t - 26. Let r(s) = 3*s + 5. Let h(x) = 6*o(x) + 33*r(x). Is h(6) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131493726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggyryyyyyyyyyyyy. What is prob of picking 1 g and 1 y?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 8. Suppose 0 = 5*x + 10, -4*o - q*x = -11 - 5. Suppose 8*p = 3*p - o. Which is the closest to p? (a) 3\/2 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 20*y + 1. Let q(h) = 0*h - 5*h + 1685 - 1685. What is -9*q(u) - 2*s(u)?\nAnswer: 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -4?\nAnswer: 89\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/409 or -1?\nAnswer: -1\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1881 - -980. List the prime factors of s.\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(-9 + 18*t**2 - 44 - 20*t**2) as p*t**2 + g*t + l and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42460273 (base 8) to base 15\nAnswer: -be2071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3161 is divided by 287.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**2 + 54*b**2 + 57*b**2 - 223*b**2 + 57*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12451 is divided by 3100.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25539953?\nAnswer: 37, 690269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 2446920 divided by -36?\nAnswer: -67970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 76, 110, 142?\n\"Answer: -x**2 + 39*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 5010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**2 - 42*z + 271. Determine m(5).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5)*(-2)\/(-4)*-5. Let j(w) be the first derivative of 5\/3*w**3 + 5*w**y + 13 + 5*w. Factor j(h).\nAnswer: 5*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2920, -4, -920 in descending order.\nAnswer: 2920, -4, -920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1590)\/(-636))\/((-5)\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/(-112))\/(2\/36) and 3\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420806 and 574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77314001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*sqrt(30)\/sqrt(6))**2 + sqrt(55)\/(sqrt(66)\/sqrt(6)))*-6.\nAnswer: 36*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 5 (c) 2\/545 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27733 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-1456)*(-1664)\/15288.\nAnswer: 2\/343","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (14 - (-4 + 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -2\/15*f**6 - 8*f**2 - 8*f**3 - 6\/5*f**5 - 6 - 12*f - 13\/3*f**4. Factor r(u).\nAnswer: -4*(u + 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33\/8 - 4. Does -0.1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + 4*m - 2*m + 2*m + m + m - 2*m + 0*m + (4*m - 4*m + 2*m)*(-2 - 3 + 3) + m + 0*m + 0*m)*(2 - 9*m - 2).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(1\/4))\/(v**(2\/3)\/v))\/(v**(1\/9)\/(v\/(v\/(v*(v**(-2)*v)\/v)))) assuming v is positive.\nAnswer: v**(53\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 700*f**3 - f**2 + 83 wrt f?\nAnswer: 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 801*r**3 - 406*r**3 - 398*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124253*t**2 - 33*t - 11537869?\nAnswer: 248506*t - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + (4 - -1) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 58 - 51 = -3*k, 3*k + 3*p - 105 = 0. Put k, -3, 3 in ascending order.\nAnswer: -3, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/15719 + -230063320\/141471. Let n be ((-116)\/(-10))\/((-1)\/140). Let x = q - n. Find the common denominator of -29\/4 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2570 and 920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85134 - -3?\nAnswer: 85137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 - -162. What is the remainder when 130 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -29. What is the third derivative of -s**4 - 9*s**6 + o*s**4 - 7*s**2 - 4*s**4 wrt s?\nAnswer: -1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 97 - 145 = 0. Let v = -138 - p. Calculate the greatest common factor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = 0, 6*n - 11*n = -5*a - 30. Let i(v) = v**2 + 5*v + 5. Let y = 0 + 4. Let x(c) = y*c - 3 + 4 - 3*c. Calculate a*i(g) + 5*x(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 1077029?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99725*q**3 + 99884*q**3 - 199650*q**3.\nAnswer: -41*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0 - 1\/12*y**3 - 2*y**2 + 1\/480*y**6 + 0*y - 1\/60*y**5 + 5\/96*y**4. Factor g(o).\nAnswer: (o - 2)*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 - 559671*m - 3358062 = 0. Calculate m.\nAnswer: -6, 559677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 11*z - 10. What are the prime factors of u(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/(1\/2). Let d be (-1)\/2 - 63\/(-6). Suppose 6 = 5*x - 3*w, -d + v = -4*x + w. Calculate the highest common divisor of 6 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7101 + -0.705091. What is c rounded to four decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1694*t**2 + 5*t + 4. Let g be r(-2). Suppose 0 = -5*y + 195495 + g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -5*n**4\/12 + n**3\/3 + 58*n**2 - 6. What is g(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119511 and 304241.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((sqrt(245)*3 + -2)*-5 + -6*((sqrt(245) + 1)*1 + sqrt(245)))**2.\nAnswer: -178625 + 1512*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1438*h - 4337*h**3 - 1438*h.\nAnswer: -4337*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z + 33. Let j = -10 - -20. Let v = j + z. Solve -4*r + v*r = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982049607?\nAnswer: 3, 7, 11, 23, 61613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 1. Let n(h) be the third derivative of h**6\/120 - h**4\/24 - h**3\/6 + 15*h**2. Determine -f(y) - n(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40904 and 0.\nAnswer: 40904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3205, -3210, -3215, -3220?\n\"Answer: -5*v - 3200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -367145 + -123?\nAnswer: -367270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -s + 23, -9 = 14*s - 17*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -0.1 (c) -1\/4 (d) 0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-12)\/(-64)*2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-282)\/24 + -298 + 306?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 7. Let z(k) = -k**2 + 12*k + 8. Let s be z(13). Let l be g(s). Solve 0 + l = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.6 - 19. Let r = -0.11 - -0.11. What is the second biggest value in -2, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2974.746855 to the nearest integer.\nAnswer: -2975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7131731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c23 (base 13) to base 2.\nAnswer: -10000111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72809 - 35985. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38849968?\nAnswer: 2, 2428123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.3529ml to litres.\nAnswer: 0.0533529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e7 (base 16) in base 14?\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8309791 or -8309794?\nAnswer: -8309791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**2\/2 + 3292728*z - 138293253\/2 = 0?\nAnswer: 21, 2195131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -11 (c) -19\/6 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*z + 4784 - 3680 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 311 + -100. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/4 + 239*n**2\/2 - 953*n\/4 + 119 = 0 for n.\nAnswer: 1, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 + -12.6. Let c = q + 10. Let v = 5.2 + c. What is the third biggest value in -0.5, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 5)\/((-3)\/(-6)). Let s be 0\/(-7)*(-2)\/g. Suppose 2*f + s*f - 758 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344*z**3 + 667*z - 17*z - 171*z wrt z?\nAnswer: 2064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 442080*x**2 + 884176*x.\nAnswer: -4*x*(x - 110522)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10171 + 10171.00022773. What is y rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132522 (base 7) to base 15\nAnswer: -75dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10344*i**5 - 21*i**2*l**2 + 2*i*l**2 - i*l + 176808*l**2 wrt i.\nAnswer: -206880*i**3 - 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*x + 64*x - 31*x + (7*x - 3*x - 2*x)*(3 + 3 - 5) + x + 3*x - 5*x + 6*x - 5*x + 6*x - 2*x + 3*x + 5*x.\nAnswer: 93*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 11:42 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jccjcjccccccjjjj. Give prob of picking 2 j and 2 c.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8254 and 11881633?\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 3*a**3 + 29500 + 3*a**2 - 29512 + 2*a to x*a**2 + w*a + h + b*a**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 - 3*k**4 - 2*k**4)*(-103*k + 206*k - 99*k).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35872 + 35844 + (-13 + (-1 - -2 - 3) - -2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 213.\nAnswer: 4\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -119661 take away 0.43?\nAnswer: -119661.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23812*n**2 + 233*n + 62033806.\nAnswer: 47624*n + 233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/33)\/((-4161)\/15257).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 167 + -159 + -16 + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-150)\/55 + (-1 - -2). Suppose -7*a = -8*a + 12. Suppose -2*b - a = 2*b. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.5 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 104453.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203 divided by -19.\nAnswer: -203\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 265 = 6*o - 3*o, -o + 3*d = -107. Let p = o - 95. Sort -7, p, -4.\nAnswer: -7, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m + 1. Let q(y) = -209*y - 20. Give -4*d(z) - q(z).\nAnswer: 201*z + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 25*g - 216. Let i = -47 - -85. What is the remainder when i is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8567 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2040, 8296, 18780, 33486, 52408?\nAnswer: 75540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(96)\/sqrt(8) - (sqrt(27)\/((4*sqrt(36))\/sqrt(4)))**2.\nAnswer: 2*sqrt(3) + 61\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/12 - l**3\/6 - 2*l**2 - 14*l. Let p be q(-2). Suppose f = 6*f - 10. Solve -f = -p*z + z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(208) + 2 - (5 + 2*sqrt(13) + sqrt(13))**2).\nAnswer: -143 - 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgxl when four letters picked without replacement from qqlfffyxqfyqfgy.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*3*(-5)\/(-30). What is the nearest to 1 in -2\/7, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 0.6 (c) -2\/3 (d) 6 (e) 3\/4 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -593304, -1186598, -1779892, -2373186?\n\"Answer: -593294*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10165516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 3*r - 6*r + 4*r. Let g = 1823 + -1820. Determine u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 12 (c) 4 (d) 32250\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837583505*l - 837583505*l + 207*l**3.\nAnswer: 207*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 3*k)*(-2 - 2*k**2 - 2 - 1) + 2*k**2 - 2*k**2 + k**3 + 10*k**3 - 6*k + 6*k.\nAnswer: 13*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Let k = -26 + 22. Let g = 0 + 0. What is the nearest to 0.1 in g, d, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**30\/((j**(-15)*j*j)\/(j**(-1\/8)*j)))**(-4\/21) assuming j is positive.\nAnswer: j**(-191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + 6*i**2 - 3*i + 4. Let n(w) = -2*w**3 + 5*w**2 - 2*w + 3. Let r be 1\/3*(13 + -1). Let j(o) = r*n(o) - 3*c(o). Factor j(v).\nAnswer: v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00561563*3.\nAnswer: 0.01684689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -719142*a**3 + 4*a**2*x**3 + a + 151392*x**3 + 2*x**2 + 3*x - 1 wrt a?\nAnswer: -2157426*a**2 + 8*a*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120112011 + -12331?\nAnswer: -120131002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c8 + -33c4?\nAnswer: -30c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = 6*k. Suppose -7*i - 70000 = -k*i. What is i rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25051, 32839, 40627, 48415?\nAnswer: 56203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103\/82 + 557\/574. Sort b, -5, -143.\nAnswer: -143, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:18 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2 - 584*j - 2970 = 0.\nAnswer: -5, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67334*f - 169606*f - 5030*f - 72793*f - 141602*f - 49670*f + (5*f - 4*f + 0*f)*(3 - 3 + 1) to the form i*f + k and give i.\nAnswer: -371366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2054.5 - -2056. Let k = 0 - 0.1. Which is the closest to k? (a) -1 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122312021223 (base 4) to base 16\nAnswer: -6b626b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94109230*r**5 - 1066*r**2 + 5085 wrt r.\nAnswer: 5646553800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllf. What is prob of picking 2 l and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + (-18 + 76 - 98)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 3*y - 15. Let m = -474121\/28 + 16936. What is the common denominator of m and (4 + y)*23\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1168, 4672, 10518, 18712, 29260, 42168?\n\"Answer: s**3 + 1165*s**2 + 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + 7 - 7)*(-2 + l**2 + 2) + 2*l**3 - 3*l**3 + 3*l**3 + (3*l**2 - 2*l + 2*l)*(-33 - 7*l + 33) to the form g*l**2 + z*l + y*l**3 + w and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -345372.\nAnswer: -1036116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 331*s - 7. Let b(v) = -663*v + 14. Let f(p) = -6*b(p) - 11*x(p). Let c be f(-2). Is 7 a factor of c\/(-12) + 6\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.0531.\nAnswer: 0.2655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + (-2)\/4. Suppose -4*v - a + 29 - 5 = p, 3*v - 5*a = -5. Suppose -6 = -v*n + 14. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 29*d - 102 = 0. Suppose d*i - 60 = 11*i. What is the highest common divisor of i and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-nine fifths of a millennium?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 1480*r**3 + 270824*r**2 - 1101120*r + 1107072.\nAnswer: 2*(r - 2)**2*(r + 372)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 15. Suppose -2*u - 5*s - 1 = 0, -11*u - 5*s = -6*u - k. Calculate the greatest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -435 - 751 + k + 249 - 837 as s + x*k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 + 18*i + 4*i - 5*i - 3.\nAnswer: 17*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 0*q + 5\/2*q**2 + 5\/3*q**3 - 5\/4*q**4 + 3 - q**5. Factor d(c).\nAnswer: -5*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfgrggfggg. Give prob of sequence gf.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 129611 + 62570 - 37588 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 17*h**2 + h - 6. Calculate the least common multiple of 2 and o(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75\/50*(-2)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59956529 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-228)\/(-60) - 5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (1 - 3) + -2. Let l be (-22)\/a + (-18)\/45. Suppose -l*o - 2355 = -7*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 32*o - 184. Let t be j(24). Let s be (t\/16)\/((-3)\/(-1069800)). Round s to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 152 = 72. Suppose -5*r + 1010 = 5*k, r = 4*r + 2*k - 604. Calculate the highest common divisor of r and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*s + 4*q, 0 = -5*q + 3*q - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3860 - -5499. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5056, 11569, 18082, 24595, 31108, 37621?\n\"Answer: 6513*d - 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-14127872)\/(-1044) - (2\/(-12))\/((-12)\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31718*b**3 + 994*b**2 + 16816987*b - 3?\nAnswer: 190308*b + 1988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -23\/105*t**7 + 250*t**2 + 0*t + 0 + 0*t**6 + 0*t**3 + 0*t**4 + 31\/30*t**5. Find the third derivative of x(v) wrt v.\nAnswer: -1104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002692 to six decimal places.\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 + 10\/(-3) + 4. Calculate the remainder when f\/9 - (-25104)\/54 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 44 (c) -28 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/5)*(g*g**23*g)\/g)**42 assuming g is positive.\nAnswer: g**(5166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7593*u + 172*u - 3058*u - 5931*u - 4084*u in the form t + s*u and give s.\nAnswer: -20494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(700) - -1*sqrt(700)*1) + -2)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.697 - -10.297. What is the nearest to 137 in s, 3\/8, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 610 and 4450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:44 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12*81\/54 + (-666)\/16?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, 13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*56\/64*6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/7, -3.32 in descending order.\nAnswer: 0.1, -2\/7, -3.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/48)*n*n**(-17) assuming n is positive.\nAnswer: n**(-769\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24856*l**3 - 27883*l**3 - 47518*l**3 + 4 - 4.\nAnswer: -100257*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 37 = -51. Calculate the least common multiple of x and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25716 or 25852?\nAnswer: 25716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 8*m + 1\/4*m**4 - 9\/2*m**2 + 3 - 5\/3*m**3. Let k = 278 - 272. Give a(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0.1 (c) 2 (d) 3\/4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3815\/600 - (1 - 15\/25) and -127\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 = -2*i - i, 4*i + 12 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53200697*b*d**2 - 2*b*d - 28299761*b wrt d.\nAnswer: -106401394*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*n - 8*n - 4*n + 2)*(-1177 - 2119 - 1341 + 1175) to the form q*n + m and give q.\nAnswer: -13848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-5 - (4 - 6) - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 46\/303, -1\/5, 58.91?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -253 + 1513\/6. Suppose 5*t - 38 = 3*t, q = 6*q - 3*t + 82. What is the nearest to 3 in -0.2, j, q, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3\/70441402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*u**4 - 8285*u + 205237 wrt u.\nAnswer: -12*u**3 - 8285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4307\nAnswer: -2\/4307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/15 + 201026*u\/5 + 71794604\/15.\nAnswer: -2*(u - 301658)*(u + 119)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, p: 1}. What is prob of sequence bb?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13 = -13. Let z = 18 - j. Solve 0*k + 20 = z*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -727249 and 201.9002?\nAnswer: 727450.9002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -62 - 3*c**2 + 0*c + 1\/24*c**4 - 1\/3*c**3. Give f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16 and 31\/51998392?\nAnswer: 103996784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 0)\/(-5) - 0 - 7636. Let n = -12663 + a. Round n to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 238 = -12. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132839559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5375 by 12238.\nAnswer: 5375\/12238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b0 + 4?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/17 and (-2 - -1) + 194\/480.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 6*d + 32 = 0. Let v = 11 + d. What is the second biggest value in 2, v, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61, -56\/5, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 6*u**2 + u - 7. Let d be a(6). Let v be 13 + d\/2*4. Suppose 37 = v*g - 10*g. Is 37 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 61. Solve 5*c = -4*o - 0*c - k, -3*o - c = 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*a**3*m**3 + a**3*m**2*u**2 + 56*a**3*m*u**2 - 8*m**3*u**2 + 3*m wrt m?\nAnswer: 708*a**3 - 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6270218 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10100110?\nAnswer: -10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 137650287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)*d*d**6)\/(d\/d**7*d*d\/(d\/d**1))*d**(1\/7)*d*d\/(d\/((d*d**(-4)*d)\/d))*d*d*d**7*d*d**(1\/3)*d assuming d is positive.\nAnswer: d**(1699\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80, -77, -70, -59, -44, -25?\n\"Answer: 2*n**2 - 3*n - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653\/3 + (-100)\/(-75) is divided by 95?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 + (-32 - -31) + 41\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*c = -926*c + 3906. Solve 5*u - 3*b = c*u - 10, -4*u + 2*b - 16 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 842*z + 47*z**3 - 2 + 2*z**2 - 394*z - 414*z - z**4 as j*z**4 + w*z**3 + c + s*z**2 + q*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by ((-203)\/(-28) + -5)*32\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23039 - -23025.5415. Let f = u + 0.0385. What is f rounded to one decimal place?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a**2 - 39*a - 123. Determine b(-3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**4 - 15509*k**3 + 10*k**2 - 7*k + 16100020?\nAnswer: 8*k**3 - 46527*k**2 + 20*k - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 - -178. Suppose 54 = w*x - 261. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15117 + 54204 + 10227)*(0*j**3 + 0*j**3 + 2*j**4) to the form t*j**4 + h*j**2 + a*j**3 + x + l*j and give t.\nAnswer: 98628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -80.656. Let m = d + -0.056. Which is the third biggest value? (a) m (b) 0.08 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 35\/25)\/((-22)\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/207? (a) 3\/4 (b) -129 (c) -0.4 (d) -0.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -130856 divided by 1140\nAnswer: -32714\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3299*f - 60 = 3305*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/3 - 16*f\/3 + 32\/3 = 0. What is f?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -3 + 3 + -3. Let m be d + 0 + 17 + 1. Let x(o) = -15 + m + o. Let c(f) = 2*f**2. Give c(x(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-42))\/((-18)\/54). What is the nearest to o in -2, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 14*b**3 + 6*b**2 + 110*b - 100.\nAnswer: -2*(b - 2)*(b - 1)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8261 - 89443.\nAnswer: -81182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -655 + -3003?\nAnswer: -3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 232*a + 237*a - 12 = 454*a, -3*z + 5*a = 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529693 plus -1?\nAnswer: 1529692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 641 + 117 = -39*y - 1504 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 4*n - 5. Let k be z(6). Let i = k + -7. Let i*l**2 + 3*l**2 + 3*l**3 + 0*l**2 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4042 + 1695. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 1897*u**4\/2 - 2*u**3\/3 - 2559*u + 3360. Find the third derivative of j(n) wrt n.\nAnswer: 22764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s + 298 = 39 - 245 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 910\nAnswer: -5460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2594 is divided by 79?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -5583164 = -z*v + 4*n, -1861072 = -0*v - v - 3*n. Suppose -v = -t + 98940. Round t to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 6*h**2 - 2*h - 2. Let d be -1*(-9)\/6*2. Let z be w(d). Round z to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from {k: 3, e: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 10*p - 16. Let c be l(-7). Suppose -4*g - 12 - 17 = -z, 0 = -3*z - c*g + 70. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92*p**3 + 9*p - 5 wrt p.\nAnswer: 552*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 89*c - 51. Let s(v) = -8*v. What is 2*p(o) + 22*s(o)?\nAnswer: 2*o - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 7, g: 6, r: 1}. What is prob of picking 2 g, 1 r, and 1 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8ce - -7?\nAnswer: 8d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -6, -4, -2?\n\"Answer: 2*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 + 213.54. Round p to 1 decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 5*r + 2. Let t be s(-6). Let p be 15 - 9 - (4 - 0). Suppose 4*l + 4*i = t, p = 4*l - 3*i - 6. Solve -z - 17 = 5*a, 3*z = l*a - 2*z + 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 18 = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a - 5*v - 33 = 0, 0 = -2*a - 4*v - 24. Let b = 2064 + -2057. What is the remainder when 23\/46 - 81\/a is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 60366*m - 3*m**2 - 12*m**3 - 60373*m - 5 + 6*m**3. What is d(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10858588 and 8.\nAnswer: 21717176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 13. Let k be z(18). Let d(p) = 2*p + 15. Calculate the remainder when 1 - 2*(1 - 7) is divided by d(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 51. Let q = -20 + r. Which is the nearest to 1? (a) 0.4 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24337938 to the nearest integer?\nAnswer: 4933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2154 = -888. Is 1\/4 + j\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 3. Let y be v(-4). Suppose -2 = -y*b + 2*w, w - 12 = 4*b - 8*b. Suppose -c = 4*r - 7*r + b, c = r - 2. Which is greater: c or -13\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/198*6\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(2 - -2)*40. Let k be (a\/6)\/(10\/(-15)). Suppose k*u - 8 = 3*u. Which is greater: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4440 to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 + 6\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 26*l + 31. Let w be d(14). Suppose -w*b = 4*b - 3829. Does 28 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 8.9. What is the second smallest value in 2\/9, x, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3423 - 1344?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*o = 69, -c - 76*o = -69*o - 107 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 519\/171)*3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -366*n**3*u**3 - 445*n**3*u - n**2*u - n*u + n - 7*u**3 wrt u?\nAnswer: -2196*n**3*u - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 + 2 = 0. Let v = -3 - -6. Let p be ((-1)\/(v\/3))\/x. Solve -p = 4*y - 4*t + 15, y = -3*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2. Let j(b) = -13*b**2. Give q(j(k)).\nAnswer: 676*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 204281926 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-2*sqrt(85))\/sqrt(5) - (-5 + 2*sqrt(17))) + -1).\nAnswer: -8 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(126)\/sqrt(2)*2.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134599, 269184, 403769, 538354, 672939?\nAnswer: 807524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(2\/33)))\/(n\/(n\/(n*n\/n**5)*n))*(n\/n**(2\/61))**(-18) assuming n is positive.\nAnswer: n**(-26872\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 7 = -3*v, 2*o = 5*v - 387 + 369. Which is the nearest to -3? (a) -16.8 (b) v (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 25 - 6) + -2 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*l - 26528*l**2 - 459*l.\nAnswer: -26528*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2925 = 4*b - 2901. Is b less than 0.022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68, -118, -168, -218?\n\"Answer: -50*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/(-1 - 1). Suppose 4*d - 5*d + 10 = r. Differentiate 6*z**2 + 2 + d - 21*z**2 wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:54 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m + 22. Let f = -5 - m. What is the least common multiple of f and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*w - 65, 2*w - 11 = y - 2*w. Let n = y + 16. Let d(z) = z - 1. Determine d(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4104 and -121\/72.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 11 + 11 + ((-2 + 1 - 1)*(4 + 0 - 3) - 2 + 5 + 0 + 2 + 0 - 1)*(3*a - a + 0*a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**8\/840 - o**5\/24 - 4*o**3\/3 - 5. Let c(u) be the third derivative of q(u). Find the second derivative of c(x) wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7152\/(-4768)*5\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*92*(-1)\/(-2) + ((-13509)\/237)\/(-19)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3832, -9, 0, 4, 16 in descending order.\nAnswer: 16, 4, 0, -9, -3832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**5\/9 + 40*k**4\/3 + 1631*k**3\/9 - 2482*k**2 - 327592*k\/9 - 293440\/3 = 0.\nAnswer: -14, -8, -4, 15, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36560599.\nAnswer: 36560599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08975 - -0.09. What is q rounded to 5 dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226640.8 millennia in centuries?\nAnswer: 2266408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-100))\/(53\/((-795)\/2)))\/(32\/(-880))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -304347.37 rounded to the nearest one hundred?\nAnswer: -304300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from {a: 9, l: 2, o: 1, b: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11601 - -2.7772389?\nAnswer: -11598.2227611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 13) in base 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011001110011000101 (base 2) in base 14?\nAnswer: 193177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 56 = s. Let b(z) = z**2 + 5*z + 2. Give b(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4290 = 786072*j - 786017*j for j.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669*a**2 + 336*a**2 + 339*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**1*n*n)**(1\/76) assuming n is positive.\nAnswer: n**(5\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 14*p**2 - 12 + 15 + 3*p**2 + 0*p**2 - 5*p**2 + (-2*p - 1 + 1)*(-4*p + 3*p + 2*p) + 288 - 288 - 58*p**2 to b + s*p + v*p**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2434812.9 to the nearest 10000.\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -17, -27, -35, -41, -45?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/25 and 69\/462566?\nAnswer: 11564150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/9*60\/(-160).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410189 divided by 144?\nAnswer: 410189\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 8 = z, -3*v + 9*z - 4*z - 553 = -12*z - 417 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20110012 - -20211201?\nAnswer: 111021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:57 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54234 divided by 27117?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. Let k = 2194 + -2192. Solve -p + 5 = -5*g - 0, q = -4*g + k*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 196. What is the lowest common multiple of 27 and r?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1197, -1203, -1209, -1215, -1221?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 = -5*b - 5, -4*o = -5*b - 23. Solve o*c + 12 = 4*z - 3*c, -3*z + 3*c = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2325 + 4784. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 22\/885349?\nAnswer: 22\/885349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 o when four letters picked without replacement from jjojl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 = 38. Suppose -15 + b = -g. Suppose 5*s + 3*j = 27, g*s + 2*j - 6*j = -7. Solve -2*u + 0*x = 2*x, s*u = 5*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*3*4\/(-12). Suppose -p*g - 23 + 212 = 0. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 4) in base 5?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11121*m + 11132*m - 33 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/102*(-6)\/(-14))\/((-60)\/42)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16778 divided by 4?\nAnswer: 8389\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20 - (-168644)\/70 - (-2)\/(-2*5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(512) - sqrt(512)) + 3 - ((sqrt(256) + (sqrt(256) - -4*-3*sqrt(256)) + sqrt(256))\/sqrt(8))**2*-4.\nAnswer: 192*sqrt(2) + 10371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1240092224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-11)*8\/8*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -2\/3, -3, 108, 6.6, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617 - 1215 = 195*t + 898. Let k(p) = 4*p**2 + 60*p + 37. What is k(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 14380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -815, 0, -0.1?\nAnswer: -815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17889071267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2166430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose -66 = -s*p - 0*p. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3\/5, -6301, -4, 0 in ascending order.\nAnswer: -6301, -4, -2\/3, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3 + 114025*u**2 + 2213826*u + 961400.\nAnswer: (u + 19)*(u + 12650)*(9*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-3\/14)*m)\/(m*m**(-3\/5)))**(-47)\/((m*m**(-4))**(3\/13))**(3\/2) assuming m is positive.\nAnswer: m**(-59711\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w. Let s(z) = -4*z**3 - 2*z**2 + 5*z. Let r be (3\/(-1))\/(212 - 215). Calculate r*s(o) - 6*l(o).\nAnswer: 2*o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5924 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.191 + -0.191. Which is the closest to -3? (a) -7 (b) m (c) -4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -269 + 247.982. Let t = q + 21. Round t to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 7 - 3. Suppose 3*z + 2*q = 5*q, -z - 4*q = -i. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 79, 87, 107, 145, 207?\n\"Answer: u**3 + u + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 228*n**2 - 5*n - 6. Let u be o(-2). Let s be (-2)\/(-3) + 1691\/(-3). Let m = u + s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/110*(-1568)\/294?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcpb when four letters picked without replacement from pbcpbpbpbcp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 693556433 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6*-1*4. Let s be (8 - 1593\/198)*(-1)\/(-12). Let v = s + 533\/1320. Which is the closest to z? (a) v (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016040 divided by -127005?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (-6*(sqrt(190)*-1 - sqrt(190))*4)\/(-2*(-1*sqrt(250) - sqrt(250))) + 4)**2.\nAnswer: -16566\/25 + 144*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.707707 centuries to decades.\nAnswer: 7.07707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1 - (10 + -12)) + (-28 - -40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*v + 5 - 2)*(-3*v + 0*v + v)*(24 - 9 + 76).\nAnswer: 546*v**2 - 546*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85321 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -75, -105?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 9*a + 236 - 145 = -f, 0 = f - 2*a + 45 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 988 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9070597 + -4648397. Round w to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a - 30 + 30 to l*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14376 and -154.\nAnswer: -14530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, 1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*u - 36, 0 = 3*x - 4*x + 2*u + 2. Let b = x + 10. Solve 5 = b*i - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 7*p**3\/2 - p**2\/2 - 3*p. Let u be r(1). Suppose u = -x + 5*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 4*m + 4*m)*(-m**2 + 3*m**2 + 4*m**2)*(-13 + 4*m + 13 - 43*m).\nAnswer: -234*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*p - p + 4*g, -5*g = -p. Let y = -19 + 21. What is the smallest common multiple of y and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 409 + -408. Factor -3*i**3 + 2*i**2 - l + 18*i**2 + 8 - 7.\nAnswer: -i**2*(3*i - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/93 and -2\/241.\nAnswer: 22413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.2 + 7.02. Let l = 0.08 + v. Which is the closest to -0.1? (a) -8 (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n + 114. Let x = -0.7457 + 1.0457. What is the second biggest value in x, n, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476901*w - 3*w**2 + 240414*w + 236487*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 5) to base 3\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51027800 divided by 2218600?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74633 + 138933. List the prime factors of w.\nAnswer: 2, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88199881\/650 - -135692. Find the common denominator of j and 12\/25.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168124 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 15*r - o + 9, 0 = -2*o - 2. Put -21, 15, 3, r in descending order.\nAnswer: 15, r, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 980536 (base 15) to base 14\nAnswer: d66983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2289, -8265, -14217, -20139, -26025, -31869, -37665, -43407?\nAnswer: -49089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuylfovouuuuuuo. What is prob of picking 1 o and 3 u?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*c - 164*c + 224*c + (1 - 1 - 1)*(-c + 0*c - c) to w*c + d and give w.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/667 in -1, -4, 1, -1\/150?\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 15134474110 and 2.996.\nAnswer: 15134474112.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 1) + -5 - (34 + 0)) + (-62 - -56).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:11 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51426017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 + -227. Differentiate -2*o**2 + 7*o**l + 19 + 0*o**2 wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/24 - 2\/(-8). Suppose -v*b - b + 41 = -5*l, 4*b - 22 = 2*l. Let t = -3 - l. Solve -15 = 4*z - 3*s + 4, -13 = t*z + 3*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -6, -4 in ascending order.\nAnswer: -16, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -45 + (-2 - (5 + -4 + 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 7828152384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + i = -3, 2*s - i + 1 = 3*s. Let z be (3 + 3 + s)*-142. Round z to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggag. What is prob of sequence xg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 6\/13 (b) -2\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 1236 - 740 = 0. Is 4\/(-10) - m\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 1. Let j(p) = p**3 - 6*p**2 - 13*p + 6. Determine j(f) + 6*l(f).\nAnswer: f**3 - 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.213 or -1114?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -6*n + 3 - 28\/3*n**4 + 2\/3*n**3 + 14*n**2. Find the second derivative of z(l) wrt l.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - -38. Let p = 83 - r. Calculate the remainder when 41 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280146 is divided by 1351.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5387 or -5393?\nAnswer: -5393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*o - 740 + 779, -3*w - 55*o = 196 + 43 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -338 + 718. Let a be (-11 - -12)*(3 - -2). Suppose a*b = -5*n + 380, 3*b + 2*b - s = 3*n. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - -98*20\/(-242). Is f less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 10739600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + (1 + 2 - 2)*(-4 + 1 + 4) - 2 + 4 + 0)*(1143 - 1143 - 36*c).\nAnswer: -180*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 - 14 = 5*c, -5*d = 3*c + 5. Let i be (-1)\/(-2) + 3\/6. Let y be (i\/(-3))\/((-1)\/3). Sort y, -3, c in descending order.\nAnswer: y, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.29? (a) 3 (b) -0.4 (c) 1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + 3497*u - 6867*u + 3594*u)*(3 - 3 + 2)*(1 + 2 - 4 + (0 + 0 - 3)*(-3 + 0 + 4)).\nAnswer: 16*u**3 - 1792*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -11 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/120 - c**5\/12 + c**4\/3 - c**3\/6 + 11*c**2. Determine p(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -391*z**3\/3 - 122*z - 168. Find the first derivative of l(u) wrt u.\nAnswer: -782*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2628 - 2585. Calculate the remainder when 199 is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 777\/(-333)*48\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 - 12 + 146*t**2 - 33*t**3 + 10 - 147*t**2 to the form y*t**3 + b*t**4 + c*t + l + q*t**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*l + 3434 = -137*l - 96*l + 8478 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -175*b**7\/6 - 238*b**3\/3 + 2*b - 712. Find the second derivative of u(o) wrt o.\nAnswer: -24500*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 3*d**3 - 558*d + 558*d + 146. Let g(t) = 17*t**2. Give a(g(o)).\nAnswer: 2601*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**6*w**3 - 329*v**6*w + 8*v**2*w**3 + 3*v*w**3 - 2*w**2 wrt v?\nAnswer: -120*v**3*w**3 - 39480*v**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 662505 (base 12) to base 14\nAnswer: 302d5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -28. Suppose 2*v + 6 = 5*y, 3*y + a = -0*y - 2*v. Sort -1, 5, 4, y in increasing order.\nAnswer: -1, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 7*i**4\/4 + 70*i**3 - 9*i**2 - 12*i - 3393. Find the second derivative of f(s) wrt s.\nAnswer: 42*s + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-40)\/12)\/5)\/(26\/(-24)) and 28\/1 + 2\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 300369716 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 85124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 330468?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89573 divided by -1.\nAnswer: 89573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utu when three letters picked without replacement from tsuuustuuts.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 8.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 12 = -2*n. Sort 3, n, 5, 4 in decreasing order.\nAnswer: 5, 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 4. Let t be y(4). Suppose -4*d + t*f - 3*f = 13, f - 1 = 4*d. Is (5 - -10)*(-1)\/d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - 3. Suppose 2*o - 19 = f*o - 5*i, -34 = -4*o - 2*i. What is the smallest common multiple of o and ((-2)\/6)\/(1\/(-15))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 104*p + 940. Let v be y(-10). What is the closest to 1 in 5, -20\/97, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -773 + 772. Which is greater: d or -3121?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6695*b**2*v**2 + 69*b**2 - 3*b*v**2 + b*v + 21*b - 2*v**2 wrt v.\nAnswer: 13390*b**2 - 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 22. Suppose -2*d - o = 3*r, -4*r + d + 0 = 3. What are the prime factors of (r + 7)*17\/2?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose j*m + 2*m = 4. Suppose 180 = 2*w + m*s - 0*s, -5*w = -5*s - 400. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 3*p + 3. Let w = 154 + -163. Let z = -6 - w. What is d(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165778 and -6.\nAnswer: -994668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -30*u + 192 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/((-6534)\/286)*14\/14.\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**3 + 2*h**2 - 66844*h*n - 7*h - 41*n + 261336 wrt h?\nAnswer: -6*h**2 + 4*h - 66844*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1102 + 1816. List the prime factors of r.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/280 and -22\/295?\nAnswer: 16520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1061 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 14*m + 17. Let t be r(13). Suppose 0 = -4*h - t, -2*h + 0*h = 5*n - 353. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9345125383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -101, -255, -491, -821, -1257, -1811, -2495?\nAnswer: -3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74676, -74698, -74720?\n\"Answer: -22*n - 74654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 785459964.819 - 787161966. Let a = 1703275 + k. Let b = a + -1273. What is b rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 1 + 1 - (3*(sqrt(180) + -3)**2 + sqrt(180)).\nAnswer: -565 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 13618?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 12. Let g be q(0). Let u be g - 8 - 30\/7. Is u less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10565931601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31881306.\nAnswer: 2, 3, 5313551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.783 - 7.783. What is the closest to 1 in -5, -136, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r - 40 = -3*j, -j + 18 = -3*r. Let o be 24*j*1\/6. Suppose 8*c + o = 13*c. What is the highest common factor of 132 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10404)\/(-15) - 2 - (-4)\/10. Let g = -277 + c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -71, -3 in descending order.\nAnswer: -2, -3, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 152 = -4*c - 5*l, 5*c - 222 = l. What is the smallest common multiple of c and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/1)\/(26\/(-39)). Let b(r) = -2*r**2 - 15 - 24 + n. Let g(t) = -39*t - 5818 + 5818. Determine g(b(q)).\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2791*x**2 + 2730*x**2 - 3718*x**2.\nAnswer: 1803*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15 + (-3 - (-168)\/45)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 10*g**3 - g**3 - 3*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4962103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -210, -103, -2?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6102?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1511, -3006, -4491, -5960, -7407, -8826?\nAnswer: -10211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -48*c + 26. What are the prime factors of a(-5)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 1 = 2*y, r = 2*y - 10 - 7. Is 17 a factor of (-2)\/y + (-762)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 815172202*j**2 - 815172204*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 8. Suppose -8 = -5*q + h. Calculate the greatest common factor of 88 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -535, -517, -499, -481?\n\"Answer: 18*w - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2300 is divided by 98?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3892?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z. Suppose z = -5*r - 70 + 350. Suppose 5*q + 3*g - r = 0, 7*q - 40 = 3*q - 4*g. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + o + 105*o - 5 - 27.\nAnswer: 106*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*k + 70*k - 213*k + 67*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, 1039, 2212, 3815, 5848, 8311, 11204?\nAnswer: 14527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 46 (c) -1\/4516 (d) -14 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2789.1 + 2089. Let w = 701 + n. Which is the third smallest value? (a) -1 (b) -2\/5 (c) 0.2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siiiiso. Give prob of sequence si.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236 + 235. Put -2, j, -4, 1 in descending order.\nAnswer: 1, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z. Let x(n) = 47850181*n**2. Give x(v(b)).\nAnswer: 1196254525*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22 + ((-15)\/10)\/(41\/(-246))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -272 - -1633\/6. Let i(s) be the second derivative of z*s**3 + 0 + 4*s**2 + 5*s. What is i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -515*q**2 + 3. Let u(o) = -2574*o**2 + 14. Determine -3*u(h) + 14*w(h).\nAnswer: 512*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2910.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3.2. Let l = -2.5 - -3. Which is the biggest value? (a) -5 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95 or -85?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c81 (base 14) in base 11?\nAnswer: 3a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/102 and 161\/66.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33708 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002044264735 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 23*y = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let o = 4 + q. Is 6 a factor of 0 + -2 + o + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380 - -3?\nAnswer: -1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 127 = 39 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 197.008 to the nearest integer.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 171077678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 166407401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 334323964*f**3 + 8155*f**2 + 2*f + 3343 wrt f.\nAnswer: 2005943784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*t**3 - 477*t**2 - 43*t**3 - 2*t**4 + 12*t**3 + 16*t**3 + 3*t**4 wrt t?\nAnswer: 24*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -17. Let k be (d + 5\/(-2))*2. Let f = k + 1. Solve -2*n + 3*x = -1, 3*n - 24 = -f*x - 3*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011254 (base 6) in base 7?\nAnswer: -260512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u + 4*u + u)*(-2 + 1 + 3 + (2 - 1 + 0)*(6 + 1 - 3)) as w + o*u and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 84 = n - 248, 0 = -4*n + 5*a + 689. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2066457?\nAnswer: 3, 821, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/108 and 4\/79032969?\nAnswer: 316131876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3170365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/20 - (-615722)\/82170. Let h = -4\/913 + b. Suppose -h*p + 32\/9*p**3 - 112\/9*p**2 - 8\/9 = 0. What is p?\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5505023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273621766.\nAnswer: 2, 11, 17, 103, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1)\/(-3 - -5). Suppose -18*w = -4*w - 28. Let l be (-60)\/90*(-9)\/w. Solve -5*a + l*a = p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -482*v**2 + 7991*v - 16195126 wrt v.\nAnswer: -964*v + 7991","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 25*u**4 + 102*u**3 - 36*u**2 - 68*u - 23. Let f(k) = k**3 - 1. Let j(d) = 21*f(d) - 3*r(d). Suppose j(y) = 0. Calculate y.\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3527*c - 16 = -3531*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 98*l - 113*l + 45 + 44 - 89. Let v(u) = 10*u - 6. What is v(s(n))?\nAnswer: -150*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 5*r**4 + 0*r - 117273*r**2 + 117252*r**2 + 2)*(-2 + 1 + 3).\nAnswer: 10*r**4 - 42*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 241394960 and 6490.\nAnswer: 2655344560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 - 62809384*t**2 + 251237488*t - 251237472 = 0 for t.\nAnswer: 2, 15702342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 39*i**2. Let z(q) = -2*q. What is k(z(g))?\nAnswer: 156*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 52, 5, 6, -16.\nAnswer: -16, 4, 5, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -2 (c) 3\/1982 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**3 - 5*c**3)*(15 - 23 + 2433*c + 28 - 7239*c - 20).\nAnswer: 19224*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 37399566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 79*j**4 - 210*j**4 + 53*j**4 + 0*j**2 - 2*j**2 + 77*j**4 to m*j + y*j**4 + u*j**3 + d + p*j**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 208\/(-65)*(-735)\/6. Let j = s + -387. Solve -4*w + 25 = k, 4*w + 5 = j*k - 0*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 - 2*p + 7. Let u(g) = 17*g**2 + 6*g - 20. Let z = 244 - 248. Give z*u(i) - 11*x(i).\nAnswer: -2*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1657*w - 1065*w + 2714*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 76154264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492*-0.1.\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 821575957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-48)\/32*(-2)\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 15\/18)*((-185)\/140 + 1). Let u(g) = g**2 - g - 1. Let d be u(0). Which is the nearest to -6? (a) 4\/7 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(10\/(-120))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 + 12*r - 2. Let c be a(-4). Calculate the highest common divisor of c and 1150.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**7\/60 - x**6\/180 + x**4\/24 + 2*x**3\/3 + 7*x**2. Let s(u) be the first derivative of v(u). Give s(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.026 + -8.827589\nAnswer: -7.801589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.3172 to the nearest integer.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1356, -3902, -7618, -12504, -18560?\n\"Answer: -585*z**2 - 791*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - p = -3*y + 15, -5*p - 9 = 2*y. Suppose 15 = -y*h - 2*h. Sort h, -2, 5.\nAnswer: h, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82260255 divided by 2211\nAnswer: -37205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 1232?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*d = 337*d - 290. Suppose 0 = -8*x + 7*x + 39. What is the remainder when x is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 246 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Suppose -13*s = -11*s - 6. Solve 5*b = -y + s, 5*b = -q*y + 5*y - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + j + 9, -p - 2*j = j - 8. Let k be -6*(p\/210)\/1. Let i(b) = 5*b**2 - 1. Let s be i(-1). Sort 0, k, -3\/4, s in increasing order.\nAnswer: -3\/4, 0, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5459 and 17611043?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*t - 187*t - 219*t + 607*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 184 = 8*z. Calculate the remainder when 1315 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2176217 and 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1505 and 1521 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -1, -10\/3 in increasing order.\nAnswer: -10\/3, -1, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*o + 4, 7*o - 2*o = 4*c + 2. Suppose d - o*d + 29 = -3*j, -4*d - 4*j = -180. Let g = 60 - d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*v - 128, -5*k + 4*v + 136 + 102 = 0. Find the third derivative of -k*b**4 + 125*b**2 + 173*b**2 - 70*b**2 wrt b.\nAnswer: -1104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 8:12 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p - 49*p - 35 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4717350 by -8577.\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:11 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 12*j**2 + 69*j - 43. Is 8 a factor of w(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*d - 256020 - 22*d + 256020.\nAnswer: -187*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14661 (base 7) in base 3?\nAnswer: 12122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 3, e: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6868680 and 167\/192780.\nAnswer: 185454360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 77*k + 513. Let h be x(-3). What is the highest common factor of h and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5385726 and 276.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = d + 4, -m - 9 + 0 = 2*d. Let t(v) = v + 18. Let o be t(d). Suppose 0 = o*z - 9*z - 472. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13266340 (base 7) to base 3\nAnswer: 2022022202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*a - 3*y - 115, 0 = -2*a + 3*y - 55. Let q = a - -5. Is 50\/6 - q\/36 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176664 and 374.\nAnswer: 1943304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*o - 0*o - 1, 2*j = -2. Let w = -79118 - -79118. Let g(r) = r**2 + 2*r + 1. Let m be g(-2). Solve -3*a + p - 8 = w, -p = -o*a + 4*p - m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512344511.\nAnswer: 37, 67901203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -248, -44, 296, 772?\n\"Answer: 68*j**2 - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + i. Let n be q(1). Let k = 0.43 + -27.43. Let a = k + 19. Is n at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5, 4*d - 5*m = -d - 220. Let g be 27\/d - 13\/(-5). Sort g, 3, 1 in decreasing order.\nAnswer: 3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-3 - (-20 + 11 - -1). Solve 11*m + t = 13*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkx when three letters picked without replacement from {n: 2, k: 1, x: 4, y: 10}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/10)\/((-6)\/(-20)). Let f(j) = 2*j**2 - 403*j - 2486. Let t be f(-6). Solve -g - 4 = -0*a - 5*a, -g = -t*a + d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**2\/2 - 2181*c - 4359\/2 = 0.\nAnswer: -1453, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 9 + 9 + 8 + -44 + 3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00780464 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:46 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -10. Solve 5*u = 4*d + o, 0*u = -3*u + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**2. Let t(g) = 110059*g. What is t(j(c))?\nAnswer: -770413*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -72 (c) 0.05 (d) -1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((-6)\/(-60)*15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*u + 1 + 11, 0 = -o - 5*u + 3. Factor -1 + 1 - o*s**2 + 10*s**2 + s**3.\nAnswer: s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1103629, -2207244, -3310859, -4414474, -5518089?\n\"Answer: -1103615*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46851, -95698, -144545?\nAnswer: -193392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40906926 to the power of 1\/2, to the nearest integer?\nAnswer: 6396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 253.\nAnswer: -15\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o + 82. Round o to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381 divided by 15135.\nAnswer: -127\/5045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*h + 101*h - 158*h + 3 + 54*h + 0.\nAnswer: 66*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99270 by 15.\nAnswer: 6618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 3*o**2 - 3*o + 4. Calculate n(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-6)\/(-252)*-1*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((0 - 2) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 - 72*g - 9. Let l(p) = -p**3 + 18*p + 2. Let a(n) = 2*n**3 + 26*n**2 + 43*n - 2. Let x be a(-11). Give x*l(h) + 2*b(h).\nAnswer: -3*h**3 + 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (4 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 669.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(57)\/(sqrt(12)\/sqrt(4)*-2) - sqrt(152)\/((sqrt(64)*-2)\/sqrt(8)))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-17)\/a*a\/((a**(-2)\/a)\/a*a) assuming a is positive.\nAnswer: a**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4907 + -4871. Suppose 19 = r - 11. Calculate the highest common factor of g and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -1.12. Let o = 0.4 + -0.4. What is the closest to o in -4, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orqqrorrqro. What is prob of picking 2 q and 1 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -11. Calculate the smallest common multiple of (-2)\/a*(7 - -3) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1 = -437*h + 436*h, 3*h + 13 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6 = -2*b. Let g be (b\/((-42)\/8))\/1. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-16)*(4310\/(-2475) - 26\/715).\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1662527 divided by 2.\nAnswer: -1662527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 1, -5, -3 in ascending order.\nAnswer: -7, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 199 (b) 2 (c) -139 (d) 5 (e) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 16*k**2 - 20*k + 16. Let z = -58 + 73. Let c be p(z). Let h = c + 69. Solve 0 = 4*t + t + h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2. Suppose -3*j - 5*s = j, 4*j + 2*s = 0. Let m(n) be the second derivative of n + 0*n**2 + 1\/6*n**3 + j. Calculate m(p(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*w**4\/2 + 17085*w**3\/2 + 158697*w**2\/2 + 39615*w\/2 - 51003 = 0. What is w?\nAnswer: -1889, -9, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19179 divided by 3\nAnswer: -6393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 2*p**3 + 3*p - 8*p**3)*(4*p**2 - 3*p**2 + 2*p**2).\nAnswer: -18*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqnqqqqqqqnqqqqq. What is prob of picking 1 n and 1 q?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -77991094 and 0.2.\nAnswer: -77991093.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/2 + 5271*r**3 - 6459354*r**2 + 3062350401*r - 744632532633\/2 = 0.\nAnswer: 181, 1111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/3564)\/((-70)\/(-60))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + d - d + (d**3 + 5*d**3 - d**3)*(9*d + 6*d + 4*d) as k + y*d**4 + i*d + u*d**2 + p*d**3 and give y.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - i**2 + 5*i. Let d(y) = -2*y**3 + y**2 - 4*y. Suppose 2 = 2*a - 6, 2*u = -3*a + 16. What is u*m(j) + 3*d(j)?\nAnswer: -2*j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybp when three letters picked without replacement from pebbbbppypbbbyvyy?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhzzllhiz. What is prob of picking 1 z and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1344413 - 141332?\nAnswer: -2041300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.838 + -9.1. Let s = g + 0.002. What is the nearest to 0.1 in 3\/4, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a0d (base 14) to base 15\nAnswer: -15e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*r = 28 + 21, 3*q - 3*r - 39 = 0. Suppose q*k = 9*k + 228. What is the remainder when k is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1488855 + 481763 = -181*s + 1665011. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 1. Let s(x) = -x**3 + 26*x**2 - 3*x + 83. Let g be s(26). Let n(u) = -21*u + 3*u - u - g*u - 30. Calculate n(q) - 30*v(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/8)\/((-2)\/(-40)). Suppose 0 = -u + 6*u - j. Solve 5*w - 4*a - u = a, -3*a + 21 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yty when three letters picked without replacement from {h: 5, f: 3, u: 5, t: 1, y: 4}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 307467*n - 127301.\nAnswer: 307467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m**2 - 4 + 4)*(-1 - 1 + 3) + 1 - 1 - m**2 - m**2 + 2*m**2 - 3*m**2 - 21*m**2 - 25*m**2 + 18*m**2)*(32*m**3 + 1994*m**2 - 1994*m**2).\nAnswer: -928*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in -6\/7, -3\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 56*q**2 - 7*q - 12. What are the prime factors of y(-56)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 2:30 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x + 50. Let l be o(12). Suppose -14 + l = 9*q. Solve 3*a + 12 = -w, w + 0*w + 5*a = -q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 3. Let c(d) = 3*d + 4. Let o(m) = -m**2 - 4*m - 5. Let u be (2\/(-4)*(-23 + 23))\/(-2). Let q be o(u). Determine q*c(j) - 7*f(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8356 = 3*l - 33434, 3*o = -2*l + 27865. Suppose f + l = 6*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 405247?\nAnswer: -405253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 + -1)*(-7 + 189\/28). Let q = 0.106 - -0.094. Which is the nearest to q? (a) -2\/13 (b) -1\/8 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40729 and 241.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.69 + -237.69. Let m = l + 232.897. What is m rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 20*r**2 - 2*r + 1. Let o(v) = 11*v**2 - v. Determine -5*o(i) + 2*t(i).\nAnswer: -15*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqlblqmb. Give prob of picking 1 m and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 37*x + 15. Let t be f(18). Let b = -282 + 278.93. Let k = -0.07 - b. Put 4, k, t in descending order.\nAnswer: 4, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = 0. Let t(v) = 95*v + 669. Let q be t(-7). Suppose 2*n - 4*i - 20 = k, 2*n - i + 3*i + q = 0. Is n > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34701187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 13*p + 324. Calculate the highest common divisor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51d623 (base 14) to base 7.\nAnswer: -32332343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 4*j + 37, -5 = -r. Suppose 52*z = 24*z - 392. Let y be (-63)\/z + (-2)\/j. Solve w + y = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4 + -3 + 0 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -12*g. Let f(r) = 17*r. What is 5*f(c) + 8*u(c)?\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96173 = 155*m - 3263288. What are the prime factors of m?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 18*i**2 + 36*i - 11. Let w(u) = -47*u**2 - 90*u + 28. What is 5*w(d) + 13*z(d)?\nAnswer: -d**2 + 18*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -553*n. Let u(d) = -d**2 + 17. Calculate u(x(m)).\nAnswer: -305809*m**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 27*d + 0 + 0*d**4 + 0*d**2 + 0*d**5 - 5\/6*d**3 + 7\/15*d**6. Find the second derivative of b(y) wrt y.\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145631 + -11534?\nAnswer: -160465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13\/x)\/(x\/(x*x*x*x**(-29))*x)*(x*x**4\/x)**(3\/10) assuming x is positive.\nAnswer: x**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3304 + -41223140?\nAnswer: -41214331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*j + 51 - 51)*(-18 - 12 + 155*j + 30) to w + t*j + z*j**2 and give z.\nAnswer: -2480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - -38 - ((1 - -1) + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - g = -5, 5*g - 21 = 3*r - 6*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 330*o**2 - 24517*o + 859. Let d be s(-217). Let k(r) be the third derivative of r**4\/12 + 7*r**3\/2 + r**2. What is k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 242*v**2 + 3*v + 3. Let i be r(-1). Let p = i - 1206\/5. Suppose -2\/5*q**2 + p*q + 2\/5 - 4\/5*q**3 = 0. Calculate q.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = b + 16. Solve -5*f - 15 = 0, o + 3*f = -4 - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -263, -583, -1031, -1607, -2311?\nAnswer: -3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpppwwt. What is prob of sequence wwtw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9 + 15*l + 10.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*c**2 + 18*c**2 - 5*c**3)*(-1557 + 2059 - 962).\nAnswer: 2300*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071247 is divided by 535586?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.269786 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*w - 16 = -7*w, -o = 4*w - 17. Sort 23, o, -1, -2, 3 in decreasing order.\nAnswer: 23, 3, o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**3)\/r)\/(r**(-2\/13)\/r))**12*((r*r*r**(-2\/13))\/r**(2\/9))**20 assuming r is positive.\nAnswer: r**(11036\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a*a\/((a**(-2\/81)\/a)\/a))**(5\/8) assuming a is positive.\nAnswer: a**(224\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 10*a + 14173. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*m + 34, -3*t + m + 23 = -8. Suppose 4*l - 3*l = -t. Let o be l\/(36\/10400)*50. What is o rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5*q = 16, 10436*y - 10442*y - 3*q - 24 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - c**5 + (-c + 2*c - 2*c)*((3*c**3 - 4*c**3 + 4*c**3)*(3*c + c - 3*c) + 2*c**4 - c**4 + c**4).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -1076?\nAnswer: 34432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18342, -16968, -15596, -14226, -12858, -11492?\n\"Answer: -i**2 + 1377*i - 19718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -637, -1 in descending order.\nAnswer: -1, -3, -6, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:16 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + k**2 + 9*k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/3367 and 29\/10557950.\nAnswer: 73905650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -31*b**2 - 70*b + 64 - 72*b + 140*b + b**3. Calculate the least common multiple of o(31) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3256667 to the nearest integer?\nAnswer: 1805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -9. Let a = -20 + u. Solve 6 + a = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48343069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 121052.5712185\nAnswer: 121054.5712185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 36885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 308*t**2 + 888*t.\nAnswer: 4*t*(t - 74)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 10217?\nAnswer: 10205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -l - 11, -3*w + 4*l = -0*w + 2. Let g(s) = 2*s**2 - 34*s + 149. Let i be g(8). Put w, 61, i in decreasing order.\nAnswer: 61, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 3*x + 6. Let i be q(4). Let u = 41 - i. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(77) + (sqrt(77) - sqrt(77)*-2*-1))\/sqrt(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/1)\/((-2)\/(-6)). Let m(h) = -2*h - 2*h**3 - 2*h**2 + b*h**2 + 3*h. Let u be m(-1). Solve -2*w = p, 0 = -p + u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-276085 - 1112*t**3 + 276085)*(t + 5*t**2 - t).\nAnswer: -5560*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 46*x**2 + 155*x + 31. Let i be w(26). Let m(z) be the second derivative of z**4 - 1\/5*z**i - 28*z + 0*z**3 + 0 + 0*z**2. Factor m(r).\nAnswer: -4*r**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 12*d + 16. What is the tens digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5984910 is divided by 2992436.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 7 - 15. Suppose -a = -4*f - 2. Which is smaller: -1\/10 or f?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2843786373 to the nearest integer?\nAnswer: 53327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.334787ml?\nAnswer: 0.004334787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33997561 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*5*(0 + sqrt(76) + 1).\nAnswer: -40*sqrt(19) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 26*f. Suppose -13*d - 54 = 14*d. Let v(k) = -k + 1. Let r(o) = -o + 2. Let m(g) = d*v(g) + r(g). Determine j(m(z)).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 2:21 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15621, -15686, -15869, -16230, -16829, -17726?\n\"Answer: -10*h**3 + h**2 + 2*h - 15614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*z + 1 + 2*z - 1 - 499*z - 862*z + 747*z + (z - z - z)*(-4 + 2 + 0))*(-2*z + 0 + 0) as h*z + i + y*z**2 and give y.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1362615228 divided by 11746683?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eweeweeeeeee. What is prob of sequence ww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/91643 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 - c + 10. Suppose -4*w = -12, 5*h + w = 30 + 3. Let o be h - (49\/(-147) - 1\/(-3)). What is f(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -3 + 2)*-2. Suppose a = -4*u - 2, 7*a + s*u - 62 = 2*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((2*sqrt(84) + sqrt(84))\/sqrt(12) + sqrt(7)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -27648186.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-4 - -3)*2. Suppose -o*a + 27 = -29. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**24*t\/t**(-2\/29) assuming t is positive.\nAnswer: t**(727\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371*c = -375*c. Which is greater: c or -1\/20?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120674 - 77822*n + 120674.\nAnswer: -77822*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(24)\/(sqrt(32)\/sqrt(4)) + 1 + (sqrt(3) - sqrt(12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 at least -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3016*22\/135707 - (12\/26 + 0).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -21*j + 2. Give s(-5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808.177 rounded to the nearest integer?\nAnswer: -1808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 62*o + 27*o + 19*o + 16*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.11 (b) -0.2 (c) 4\/2525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100758 + -55795. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 - 1409\/13. Which is the third smallest value? (a) 0.2 (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)*n**(-9))\/((n\/(n*n**(2\/15)))\/(n*n\/(n\/n**(1\/7))*n)) assuming n is positive.\nAnswer: n**(-622\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 67 = 3*i + p, -56 = -4*i - 4*p. Let a be 1 - (3 - (-6)\/2). Let y = a + i. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 11*a + 37. Let r be k(12). Let g(i) be the first derivative of 1050*i**2 - r - 15 - 1049*i**2. Let s(u) = -15*u. Calculate g(s(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -948 and -946 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23735015 (base 9) to base 5\nAnswer: 10432100241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 6*n = 0. Let r = 69.8 + -70. Let x(o) = o**2 + 6*o + 6. Let m be x(-4). What is the second smallest value in n, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = -120. Let q = n + 46. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*m = -m + 116, 3*i - 164 = -2*m. Suppose 8*f = -12 - i. Let b(j) be the third derivative of j**4\/12 + 4*j**3\/3 + 14*j**2. Give b(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -12\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = l - 0*l - b, -3*l + 4*b + 308 = 0. Let w be (-4)\/16 - (-3)\/l. Let k = -0.18 - 3.82. Put k, -3\/4, w in increasing order.\nAnswer: k, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1794 and 278717634?\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/105)\/(2 - 39\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070180 rounded to the nearest 10000?\nAnswer: 2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/31868 and 23\/143468.\nAnswer: 36871276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + v + 7, 4*v = -34 + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112670*j - 781006 wrt j.\nAnswer: 112670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 8:25 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 875*s + 66430. Calculate z(84).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 36.6 (b) -5 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16110 by -1074.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 114 - 166 = 0. Suppose -q*s - 16*s = -969. Calculate the remainder when 73 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 230640.\nAnswer: 230640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a\/((a*a\/(a\/(a*a**(-3\/4)*a*a)))\/a))\/a)\/a)\/(a\/(a*a\/a**(1\/8))))\/(((a*a**(5\/4))\/a)\/(a*a*(a**(-6)\/a)\/a*a)))**(-16) assuming a is positive.\nAnswer: a**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 10830 + 5417 + 5413.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 451*u**2 + 50624*u - 51076.\nAnswer: (u - 1)*(u + 226)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -572 + 584. Solve 35*b - a = 32*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -376452 by -188226.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-219706)\/(-73234) - (-6 + 9). Let c = q - 2746423\/2709658. What is the common denominator of c and (-8)\/(-192)*-3*(-26)\/(-3)?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-15)\/12) + (-220)\/(-80).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 23*p**2 - 75*p + 39. What is m(-19)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246298 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 - 4. Let a = 365 - 372. Calculate d(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -13*k**4\/24 - 27*k**2. Let x be w(-9). Suppose -411 - x = -4*u. What is the highest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.08 (c) -0.5 (d) 0.298 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*d**3*g**2 + 111*d**3*g + 2*d**3 - 3*d**2*g**2 + 8*d**2*g + 2*d**2 - 135*d - 28*g**2 wrt d?\nAnswer: -732*g**2 + 666*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2199, 0, 14.\nAnswer: -2199, 0, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 127. Calculate the remainder when d is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {c: 2, o: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*t - 252072 + 252064 = -t, -3*r - 5*t = 34 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9 and 12\/(-108)*-1*70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -389437382 take away -49?\nAnswer: -389437333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 0*v + 0*v)*(824*v + 839*v - 1643*v)*(-3 - 3 + 4).\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 50 = 5*v, 0 = 5*v - o + 2*o - 80. Let f = -10 + 37. Calculate the remainder when f is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2 - 222*h + 7137 = 0.\nAnswer: 39, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 + 1011260?\nAnswer: 1011343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0. Let x = 183.5 - 184. What is the closest to t in 0.4, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6.7 (b) 0.4 (c) 5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o = 232 - 104. Suppose 3*v - 4*l + 402 = 8*v, v - 5*l = 63. What is the remainder when v is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/55968 and 19\/83952.\nAnswer: 167904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j - 4*a + 49 = -135, 2*j + 5*a - 26 = -2*j - 3*a + 3*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3 - 8*o - o - 5*o. Let r be d(6). Let v = -245\/3 - r. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0541020326 to four dps.\nAnswer: -0.0541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.7 or -87.0808?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 176*l**3*n**3*r - 25911*l**3*n**3 - l*r + 26*n**3*r wrt r?\nAnswer: 176*l**3*n**3 - l + 26*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -18 - 17 - ((-3 - 4) + -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = -4*p - p, 4 = 4*p. Suppose 581 = 4*s + 5*j, -j + 721 = 8*s - v*s. What is the greatest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 + 101*q - 122 + 62 as y + h*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(-9)\/((((q\/(q\/(((q\/q**(1\/15)*q)\/q)\/q)))\/q)\/q)\/q**9) assuming q is positive.\nAnswer: q**(529\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -122, -1051, -3572, -8483, -16582, -28667, -45536?\n\"Answer: -133*l**3 + 2*l**2 - 4*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 0*p**2 - 53 + 0*p + 19\/4*p**4 - 50\/3*p**3. Find the third derivative of d(z) wrt z.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1 + 13925*t - t**4 - 14364*t - t**2 as v*t + s*t**2 + w*t**4 + q + c*t**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 0*y**3 + 35*y**2 + 2 + y**3 - 1 to q*y**3 + r*y + z*y**2 + t and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 5*c**4\/24 - c**3 - c**2. Let a be ((-8)\/20 - 0)*-15. Let g(d) = -11*d + 13. Determine a*g(y) + 13*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 + -237. What is the least common multiple of 110 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1760*s**2 - 118\/3*s**3 + 0 + 2\/9*s**4 - 15488\/9*s.\nAnswer: 2*s*(s - 88)**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1692 + -1686. Let k(a) be the third derivative of 1\/8*a**4 - 1\/4*a**5 + 0 + 0*a + 3*a**2 + 1\/2*a**3 + 3\/40*a**q. Suppose k(m) = 0. What is m?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/5, 551836, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0064 - 0.1936. Let i = -3 + 4. Let r be i\/(-5) - (-56)\/(-245). Is r at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(((w*w\/(w*w*(w*w\/(w**(-12)\/w)*w*w)\/w))\/w)\/w)*w\/(w*w**(1\/5)*w)*(w**(-1\/31))**(-1\/6) assuming w is positive.\nAnswer: w**(16559\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Let d(y) = 3*y + 140 - 77 - 68. Let z(t) = 0*t + 6 - 5 - t. Let v(k) = 3*d(k) + 15*z(k). Give v(u(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 35 = -5*z. Let y = 16 + z. Determine u, given that -3 + y - 2*u**2 + 2*u - 2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 35. Let s = 10.7 + h. Is s > -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -84*c - 2854. Let i be a(-34). Calculate the highest common divisor of i and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (1 - -7 - (-79 + 54)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32699762 to the nearest integer?\nAnswer: 5718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 1)*(292*k + 298*k - 598*k + 69) to l + t*k and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10*z - 3. Let i(u) = 9*u + 4. Calculate 3*i(n) + 4*v(n).\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2548))\/(sqrt(4) - sqrt(36)*2))**2.\nAnswer: 2548\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4220 - 8547. Let c = 2914 + q. Is c\/(-36)*(4 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52\/261 - -2\/87. Let o = 0 - 0.4. Let d = o - -0.4. What is the second smallest value in x, 0.4, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1438\/3 + 18700\/39. Put 0, -23, g in increasing order.\nAnswer: -23, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmmxax. Give prob of picking 1 x, 1 a, and 2 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**2 - 48*t**2 + 104*t**2 + 457*t**3 - 448*t**3.\nAnswer: 9*t**3 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*j - 658 = 0, 0 = -3*j - 0*j - 3. Let r = n - -487. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, t: 5, o: 1, l: 4}. What is prob of picking 2 t and 1 l?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2\/2 - 9*u + 2. Let c(n) = n - 1. Let y(m) = -a(m) + 2*c(m). Let o be y(-11). What is the third biggest value in -3, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12052, -12054, -12070, -12106, -12168?\n\"Answer: -o**3 - o**2 + 8*o - 12058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2 - 11. Suppose 5*l + 4*q + 6 = 24, 0 = z*l - q - 4. Sort l, -3, 0 in ascending order.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-45))\/((-1)\/(-5)). Let h(d) = -d**2 - 4*d + 4. Suppose g + 4*g + 28 = 3*a, 2*a = -4*g - 18. Let s be h(g). Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3949.261mg?\nAnswer: 0.003949261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 - 11. Let w = -2.8 - p. Let g = w - 1.8. Which is the biggest value? (a) g (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1\/4, -1521, 2, 12, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 13. Let s(v) = 1518*v - 766*v - 13 - 753*v. Determine -5*q(i) + 4*s(i).\nAnswer: i + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + 8.09. Let c = -1215111 + 1215118.999974. Let i = v - c. What is i rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = 4*w + 18, -w + 4*l = -21. Let v(t) = 7*t - 3. Calculate v(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/15*1\/((-4)\/51470) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42309 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 20*y**2 + y - 22. Let f be l(20). Calculate the remainder when 114\/171*1839\/f*-1 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2943 + 3181. Is 241 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*z**3 - 2*z + 9 + 4*z**2 + 41*z**3 - 3*z**2 - 2*z**2 - 6 in the form j*z + f + q*z**2 + a*z**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 14 - (135 + -162)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11122 is divided by 206?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -292.8\nAnswer: 58.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4 and 1*-37*(-2)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-1)*1 + -2. Let j = -3 + b. Let f be (66\/18 - (-26 - -30))*(0 - 9). Solve 28 = j*d + f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 310753*k**3 + 146 - 441 + 145.\nAnswer: 310753*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**3 - 7*f**2 + 3. Let u be (-3)\/(-6)*(-1 + 7). Let y(n) = u - 6*n**3 - 1 - 12*n**2 + 6*n**2. Calculate -5*x(z) + 6*y(z).\nAnswer: -z**3 - z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.150724 rounded to 0 decimal places?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 808864 and 106904?\nAnswer: 67135712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -87 and 12511.\nAnswer: 12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**5\/20 - 11*r**4\/12 + 23*r**3\/6 - 9*r**2 - 78*r - 3. What is the lowest common multiple of 63 and k(9)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let l(x) be the third derivative of -x**5\/6 + 3*x**2. What is t(l(h))?\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 5:48 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-7))*(-160)\/(-784)*-1\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*g**2 - b + 23*g**3 - 42483*g**2 + 723924*g wrt g.\nAnswer: -2*b + 138*g - 84966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003647 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 14 + 38. Let v = r - 23. Solve 0 = 5*s - v*d + 11, 4*d - 1 = -5*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-381235)\/(-76) - -13) + (-1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -72. What is the highest common factor of 28 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/33770 and -37\/55.\nAnswer: 33770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-825380)\/(-34) + (-5239)\/13702 + 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*-679.89\nAnswer: 2039.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672061 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 39. Let z = 30 + k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from qouoqiuqosoqioisouoq?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 p when three letters picked without replacement from {b: 2, p: 7, d: 1, t: 9}.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -472332 divided by -33738\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/720 and -39\/190.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 30*s**3 - 7*s**4 + s - 55*s**3 + 27*s**3 + s to w + p*s + j*s**2 + o*s**4 + q*s**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 647, 2, -19.\nAnswer: -19, -4, 2, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 2*l = -12. Suppose 6*f - l*f = 24. What is the third derivative of 4*t**6 + 5*t**f - 5*t**6 - 7*t**2 wrt t?\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243) + 0)**2 + -3.\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*n + 7, -8 = n + 5*k - k. Find the first derivative of -8*b - 5 - 10*b**n + 8*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 1848 = -48*u. Let f = 251 + u. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 9 = -5*r. Is (89\/(-3))\/(r\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/12 - 4*o**3\/3 - 2*o**2 + 3*o. Let c be m(9). Suppose -c*g = -4*t - 1447, 3*g + 2*t = t + 858. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -14. Suppose -w*t + 221 = -25. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let w be ((-2)\/10)\/((-5)\/10). Sort k, w, 3 in increasing order.\nAnswer: k, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/11 - (-3384)\/22.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -661\/77 + 100\/77. What is the common denominator of 40\/(-54)*(0 - -3) and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44181 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 836 - 771. Let l = p - 62. Solve 0 = -8*q - l + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*u**2 - 106*h**3 + 262*h*u**2 wrt h.\nAnswer: -12*h*u**2 - 636*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j + 3*l - 79 = 0, 5*j - 165 = -l. Suppose -16 = 2*f + j. Let x = f + 40. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 divided by 3?\nAnswer: -580\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgzgzznznzzzggzgzg. What is prob of picking 2 g and 2 z?\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -224203622, -224203620, -224203618, -224203616, -224203614, -224203612?\n\"Answer: 2*l - 224203624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7102 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1365\/(-45)*(-465)\/(-10075)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*k - 2*k + 3*k to j*k + g and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**5\/20 - w**4\/6 + w**3\/2 + w**2 - 84081*w. Let b be 1*6*2\/(-4). Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-106*x**2 + 5*x**3 + 106*x**2)*(1 - 1 - 2*x) as g*x**3 + v*x**4 + u*x**2 + a + i*x and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2480183 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*k = 3*x - 647*k + 1, -4*x = -2*k - 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 32*u**2 + 62*u + 51. Determine a(-30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 103 + 6?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = 10*i + 4*y + 53 - 205, 0 = 58*y - 56*y - 38 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l + 45*l + 3144 + 7391 = 95 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*q + 2)*(-1 + 2 + 1) + 2*q - 2*q - 3*q)*(-5*q**3 - 8*q**3 - 42*q**3).\nAnswer: 385*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 106481 - 38961. Round t to the nearest 100.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/36)\/5)\/(2\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 43.\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0263 + -2.5037. Round q to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418 is divided by 1402?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*11683.\nAnswer: 11683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 4*p + 1 - 12, 4*p = 2*x - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 20*m = -4*s + 136192, -102144 = -3*s - 5*m. Is 133 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2520 + -7205. Let z = -4684.94698 - t. Round z to three decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/20330 and 79\/20330?\nAnswer: 20330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648082?\nAnswer: 2, 251, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*n**3 + 32\/5 + 18\/5*n**2 + 48\/5*n.\nAnswer: 2*(n + 1)*(n + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -3 - (28 - (29 - 23)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0291030882 to 4 dps.\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1879 + 1920. Calculate the greatest common divisor of h and 1107.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 9*v**5\/5 + 8*v**3\/3 + 7. What is the third derivative of f(c) wrt c?\nAnswer: 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 81821848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408680 and 5800?\nAnswer: 59258600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 117, 125, 133, 141, 149?\n\"Answer: 8*r + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23352547*i**4 + 5*i**2 - 71214523*i?\nAnswer: 280230564*i**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 + v + 7. Does 4 divide y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v + 16. Let m(r) = -4*r - 31. Let w be m(-9). Suppose 2 = w*z + 2*i, -z = -i - 3*i + v. Which is the biggest value? (a) 4 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5ca1a - 2a?\nAnswer: -5ca47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16027 + -140.83973. Which is smaller: n or -37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -437, -1805, -4095, -7301, -11417, -16437, -22355, -29165?\n\"Answer: x**3 - 467*x**2 + 26*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -109655192 divided by -6\nAnswer: 54827596\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.1 (c) -2\/15 (d) -5.8 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22916 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 12*h - 1. What is b(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-2*-5 + -3 + sqrt(147) + 1 + -1 + sqrt(147)*-1 + (sqrt(147) + (sqrt(147) - (-4 + sqrt(147))) + sqrt(147) - sqrt(147)) + sqrt(147) + -5)**2.\nAnswer: -672*sqrt(3) + 21184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -7 + (12 - 22). Suppose -3*a + 136 = -4*r, -2*a = -6*a - 2*r + 196. What are the prime factors of u\/a*-4 - (-1659)\/12?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 7:57 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1575 + -97?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 5*u - 5*d, 5*d = -0*u + u - 65. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9))**12\/(i\/i**(-3))**(-39) assuming i is positive.\nAnswer: i**(476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, -16, -131, -354, -721, -1268, -2031, -3046?\n\"Answer: -6*d**3 - d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/11 (b) -0.4 (c) 0 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-3 + (24 - 8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*210\/(-560).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + 1 - (2 + -4). Which is the biggest value? (a) 0.1 (b) y (c) 2.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1571.4243 months to millennia.\nAnswer: 0.130952025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2330 divided by -466.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-34)\/(-10))\/(20\/1700) + 4 is divided by 278?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -16.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*a - 5 = 0, -1370 = -2*h - 2*a - 1350 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + j = -993, r + 3*j + 186 = 7*j. Let q be 50\/20*(r - (0 - 1)). Let k = -470 - q. What is the common denominator of -29\/8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -38. Let n be (1 + -4)*1\/(-1). Suppose -n*p = y - 123, y + 0 = 3. What is the greatest common factor of j and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let s(r) = 2. Let v(g) = -g - 3. Let m(o) = 3*s(o) + 2*v(o). Determine m(f(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686512.2 rounded to the nearest one thousand?\nAnswer: -1687000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 - (-1 + -1 + 0). Let t = 68 - 33. Calculate the greatest common divisor of q and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069544152.\nAnswer: 2, 167, 800557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95\/7488 or 1?\nAnswer: -95\/7488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423 (base 11) to base 10.\nAnswer: -509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-1 - -2)) + (-483)\/(-23). Let r be (2 + a\/(-12))\/(903\/12). Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w**2 + w + 1. Let z be u(0). Suppose z = j - 3. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -2*x**5\/5 + x**4\/24 + x**3\/6 + x**2. Let n be z(-1). Let q = n - -35. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.29 + 0.29. Sort y, -4, -6 in decreasing order.\nAnswer: y, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(3\/5)*y)*y))\/y**2*y*y**8*y*y**(5\/3))**41 assuming y is positive.\nAnswer: y**(6929\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1920 = -6*h + 8856. What are the prime factors of h?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 515*c. Let u(h) = 10*h. Give z(u(g)).\nAnswer: 5150*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*y - 561, -3*y - 2*z - 718 = y. Let n = y + 68. What is the tens digit of n\/9*(-18)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 9*t - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2637142 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - f**3 + 0)*(-3 - 1 + 2)*(23 + 165 - 52) + 0*f**2 + 0*f**2 - 2*f**3.\nAnswer: 270*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-4) - (-6)\/8. Suppose -3*f + 3*k = k - 8, -f = w*k - 21. Suppose 2 = -s + f. What is the highest common factor of s and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:34 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*m**4 + m**2 + m wrt m.\nAnswer: -1416*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4411087559.\nAnswer: 11621, 379579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 27. Suppose -k - 2*a = 3*k - 398, 3*k + d*a = 301. Suppose -4*g = -5*g + 4, -4*j = 5*g - 56. Calculate the highest common factor of k and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3476*d**2 - 3485*d**2 + 1626*d**3 + 6954*d**2 to the form m*d**3 + j + g*d**2 + i*d and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*n + 26*n + 27 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -323443513?\nAnswer: -323443501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/134379 and -127\/24948?\nAnswer: 5912676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j**3 - 2*j**2 + 2*j - 1. Let l be (-1 + 0)\/((-5)\/5). Is 3 a factor of p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -735, -1099, -1463, -1827, -2191?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4866, 246, 12, -2\/3?\nAnswer: -4866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37\/12 + 17\/6. What is the nearest to -9 in 0.5, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 24*b**2 + 2*b + 4. Let l(n) = -23493 + 4*n + 11747 + 11753 + 47*n**2 + 0*n. What is -4*l(d) + 7*s(d)?\nAnswer: -20*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let m be ((-9)\/(-2))\/(2\/4). Solve z*r = m + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 8*a + 0*a + (-3 + 2*a + 3)*(1 + 1 - 3) - 3 + 3 - 2*a + 7*a + 3*a - 6*a + (0 + 0 - 1)*(-4*a - 2*a + 2*a) to l + g*a and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.0694252354 and 55?\nAnswer: 61.0694252354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 21. Put 2, w, -2 in decreasing order.\nAnswer: w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 5*w + 15, 5*c + 3*w + 25 = -0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k + 17130 - 1779. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + 9 + 0 + -14 + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1216 and 13\/12920.\nAnswer: 103360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -300632.53 to the nearest 10.\nAnswer: -300630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421661 is divided by 1208?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + -76 + 6 + -2 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -15, -20, -25, -30?\n\"Answer: -5*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + p + 2 + (-3 - 1 + 3)*(-3*p + 5*p - p) - 2*p + p - p + (2*p + p - 2*p)*(0 + 1 - 2).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 197447188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96322048.\nAnswer: 2, 179, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 125\/13507063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v - 3\/2*v**2 + 0*v**3 - 3 - 3\/2*v**4. Find the second derivative of i(m) wrt m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16006.\nAnswer: 2, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4806 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 + -8.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22 - ((-2 - -1 - -7) + (-147 - -140))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.97188 + 0.02812. What is the second biggest value in -15, -1, -2\/13, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 17 - 5, 2 = 3*v - t. Let g(y) = -8*y + 38*y**2 - 3 - 110*y**v + 36*y**2 + 37*y**2. Let i = -3 - -11. Calculate g(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547 = -248*a - 4019 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/16, 21.533 in descending order.\nAnswer: 21.533, 2, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 22 = 3*b. Suppose -5*r + v - 5 = -4*v, -5*r = -2*v + 2. Suppose r = -0*x + x - 31. Calculate the remainder when x is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/60 - 1032619\/(-84)*-9*-13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 338\/8 - 6\/24. Suppose 2*u - 110 = -2*i + 6*i, -70 = 2*i - 4*u. Let s = i + z. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((13 - 8) + -4 + 2 - (-9 + 7)) + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose -k + q*r = -5, k = -0*r - 2*r - 7. Which is the biggest value? (a) -2\/13 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2398564 and 1428?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16727517 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -222 in 1, 0, -2, -621?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 17*x - 57. Let k be h(20). Solve -4*p = j - 3*p, 0 = k*j - 5*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 559524.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/90 and -36\/64009?\nAnswer: 5760810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 824 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15*810\/(-567).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-2 - -9) - -8. Suppose -2*s = -1 - 9, -5*y = -w*s - 45. What is the highest common divisor of y and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2897 - -49b?\nAnswer: 2d54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-21*(-27)\/(-378).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1)*(5 - 12 - -6). Let i(g) = -g**2 + 9*g + 1. Let m be i(7). What is the highest common divisor of o and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(651\/(-63) + 10). Solve -2*f = -n*a, 4*a + 5*f + 26 = 40 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*q - 36, 3*q + 54 = -3*v - q. Let t = v + 59. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 4*z - 3*z + (3 - 5 + 0)*(3*z - 7*z + z) - z - 7*z + 9*z + 5.\nAnswer: 4*z + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 9}. What is prob of sequence bdb?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2375 - -2403. Sort 9, 5, m in ascending order.\nAnswer: 5, 9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) 2\/11 (b) -2 (c) -65 (d) 2.12 (e) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2683 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*x + 47 - 2*x**3 + 60 + 109 + 46 wrt x.\nAnswer: -6*x**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28544 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*z + 67, -5*z = -5*w + 12*z + 145873 - 145666 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/21*(-6)\/3. Which is the nearest to 0? (a) -2 (b) h (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 181, 0.2, -6, -0.3, 608\/3, -3\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (52\/117)\/((-4)\/(-6)). Let g = 17.06 + -17. What is the fourth biggest value in -0.2, t, 2\/11, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k - 27*k = -720 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*k**2 + 578*k - 2*k**2 - 6 - 3*k**2 - 1750*k**3 + 310*k**3 - 576*k wrt k?\nAnswer: -8640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5447 = 5*b + 2*l - 14240, 4*l + 7894 = 2*b. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a factor of 34619845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 6\/19, -53?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let v = q - 0.4. Let j = 9 - 5. What is the third smallest value in 1\/2, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 + 87. Solve d + 7 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 4*h + 10, 7 = 4*q + 2*h - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 120516\/99065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b58 - d9?\nAnswer: a5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19876 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -0.3 (b) 4\/7 (c) 631\/14 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 314533265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/281 and 24\/5?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 9 = q, 0*q + 5*a = q - 11. Let x = 2 - q. Calculate the remainder when (-6)\/(-8) + (-11)\/(-44) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -385.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37086015 and 16725?\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/14 and -95\/1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 3*z, -5*t + 7 = 3*z. Let y = -46 + 68. Suppose -r = -t*j - 2*j - y, 0 = -2*j. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a, 2*z - 2*a + 0 - 8 = 0. Let q = -92 - -103. Let v(h) = 10*h**2 + 16*h + 6. Let d(c) = -2*c**2 - 3*c - 1. What is q*d(n) + z*v(n)?\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: cf04 (base 16) to base 14\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 19. Let u = 22 + 4. Calculate the remainder when u is divided by b(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528) + sqrt(528)*1*-4)*-3)\/(sqrt(11) + (sqrt(1100)*3 - sqrt(1100)) + sqrt(11) - (sqrt(11) + sqrt(176) + sqrt(176)*-1 + sqrt(176))))**2.\nAnswer: 3888\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/108060 and -107\/330.\nAnswer: 1188660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 2, 81\/4, -0.3 in descending order.\nAnswer: 81\/4, 2, 4\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 100 + 13a?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 a when four letters picked without replacement from ttattttatttattt.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(500) + 1) + sqrt(60)\/(sqrt(3) - (sqrt(363) + sqrt(363)*-2 - sqrt(3))))*-2.\nAnswer: 9 + 516*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p + 18*p**2 - 5*p**2 - 14*p - 12*p**2.\nAnswer: p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50 + -59 + 195\/5. Solve -3*t + x = 3*p, -12*t - 2*p = -15*t + 15 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:38 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*s - 26 - 18, -3*s - 5*d = -26. Let z be (s\/9 + 2)*(-12)\/(-10). Solve 3*l + 5*p = -16, 4 - 2 = -z*l + 3*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*t**4 - 22*t + 8?\nAnswer: -20*t**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -14.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(108\/(-864)). What is the third derivative of 10 + 0*o**2 - 48*o**3 + 96*o**3 - 87*o**3 - 25*o**3 + l*o**2 wrt o?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357131534 to the power of 1\/2, to the nearest integer?\nAnswer: 18898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 36121.4?\nAnswer: 2167.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 35. Solve q = -5*h - 0*c - c, -4*c = -16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/39 and -79\/66519.\nAnswer: 864747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 29. Let r = -7 - -12. Let z(j) = j**3 - 6*j**2 + 23*j - 55. Let b be z(4). Solve y = r*p - q, -p + b*p = -y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 - 158*g - 31. What is r(-5)?\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3307 + -3276. What is the remainder when 224 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -298?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millennium in years?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 221 = -3*c - 194, -c = 2*o - 13. Put -3, c, 5, 4, 1451 in descending order.\nAnswer: 1451, 5, 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42409438*k + 1000*k**2 + 42409438*k - 101 wrt k?\nAnswer: 2000*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2282.829 litres to millilitres.\nAnswer: 2282829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -34*g - 9. Let h(s) = -33*s - 8. Determine -6*h(v) + 5*u(v).\nAnswer: 28*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*u + 4, -26*y - 19 = -27*y + 4*u. Which is the nearest to 0.57? (a) -1 (b) -0.3 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c**3 + 6*c**3 - 3*c**3 - 2*c**3 + (4*c + c - 3*c)*(0*c**2 + 2*c**2 - 4*c**2))*(-1 - 3 + 1).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -82471483 and -82471484 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 32. Let l = -1 + a. Sort l, 4, 0.3.\nAnswer: 0.3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -40. Let h(d) = -d**2 + 5*d + 8. Let r be h(7). Let k = 4 + r. Sort u, k, 4.\nAnswer: u, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*j + 3*j + 124 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -10. Calculate the greatest common divisor of 81 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*b - 52*b - 114*b + 258*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*r = -387*r - 21560. Is r a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c**3 + 15*c**3 + 10*c**4 + 1 - 71*c**4 as g*c**3 + f*c**4 + i*c**2 + s + a*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f. Let v(y) = -240*y. Let s(m) = -37*m. Suppose 3*z + 7 = 4*n - 0, -z - 5*n = 15. Let u(q) = z*v(q) + 32*s(q). Determine u(j(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.13585 minutes in seconds?\nAnswer: 5468.151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75522 is divided by 37752.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3 = t. Suppose 2*j + 3*l - 8 = 30, t*j = 5*l + 19. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:59 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 58375*m - 58375*m - 3*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 9*g**2 - 2*g. What is l(8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1719 by 573.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161 is divided by 1119?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (226 - 255).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 129*h**2 + 968*h + 2169. Determine t(-136).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -550920 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177*j**2*n - 4*j**2 - j*n**2 + 19*j with respect to n.\nAnswer: 177*j**2 - 2*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183340*y**2 - 56 + 56.\nAnswer: -183340*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101 - 1?\nAnswer: -11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - 145. Let a(m) be the second derivative of -4\/3*m**3 + 0*m**u + 0 - 1\/20*m**5 + 12*m + 2\/3*m**4. Calculate a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110195.6 rounded to the nearest one thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -580 - 11*o**2 + 580. Let h(a) = 4*a**2. Let k(p) = -5*p**2. Let l(b) = 7*h(b) + 6*k(b). What is d(l(r))?\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 299629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2 - 756*i - 21483?\nAnswer: 2*i - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15672467 + 4\nAnswer: 15672471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1488*x + 4974*x - 5 in the form g + m*x and give m.\nAnswer: 3486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyiznznsyn. What is prob of picking 1 s and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379543 by 164.\nAnswer: -379543\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, v: 2}. Give prob of picking 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 8. Suppose 3*k - 14 = p - 5*p, -8 = p - 5*k. Suppose -2*s = -p*a - 3*a + 31, -2*a + 18 = 2*s. What is the remainder when t is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4556375 and 8325?\nAnswer: 4564700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 - 39*s**2 + 52*s**2 - 1 + 94*s**2 - 4*s + 2*s as l*s + m*s**3 + p*s**2 + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12782 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 14*t. Let x be k(12). Let c be 2\/6 - x\/(-18). Calculate the highest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -284*s + 29331. Let c(d) = -d**2 - 8*d - 9. Let r be c(-7). What is the remainder when h(103) is divided by 0 - (r - -42)*-1?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.0594 plus 3?\nAnswer: -12.0594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 78785940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = 5*p, 4*p - 2 = -3*n + 3. Let d = 0.13 - 0.13. Let l = -5 + 2. Which is the closest to 1? (a) n (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o - 4. Let i(p) = p**3 + 3*p**2 + 2*p + 2. Suppose 5*t = 3*b + 11, -2*t + 1 = -t. Let j be i(b). Solve 0*h = -j*h - o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 3620972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60791?\nAnswer: 31, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxxxxxx. Give prob of sequence xg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19258.\nAnswer: 2, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 4. Let p be z(7). Suppose 128 = 4*r - 3*r - 4*v, 3*v - 594 = -5*r. Calculate the highest common factor of r and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**2 - 131*q - 298. Give l(-13).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192136 by 833.\nAnswer: -27448\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9509 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 13 - 1. Suppose -5*j = -5*k, -j - 5 = j + b*k. Let i = -121\/2 - -59. Which is smaller: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1196 + -615. List the prime factors of q.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5938595 divided by -3?\nAnswer: 5938595\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*o**2 - 281\/3*o - 284 = 0. What is o?\nAnswer: -3, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -0.3 (b) 3 (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4036298 is divided by 1345422?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128807032 to the power of 1\/3, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b**2 + 3*b + 47. Determine q(-7).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.618138 hours to days.\nAnswer: 0.40075575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59070275 to the nearest integer?\nAnswer: 7686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9 - -1) + -10 + (31 - -2663)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.11, 9, 0, -1099?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1631.\nAnswer: 9786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 9.5, 0, -33\/50?\nAnswer: -33\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 881 and 4591.\nAnswer: 4044671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-21))\/(2\/3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-264274*r**3 + 444892*r**3 - 246926*r**3)*(4 - 3 - 2) in the form c*r**2 + g + x*r + j*r**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4845 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1 + 21 + 65*v + 6. Let r be u(11). Suppose -2*x - 270 = -3*w + r, -3*x + 1038 = 3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 54 = 5*z. Let d(i) = 4*i + 0*i - 3 - i + z. Suppose 3*q - 1 = -19. What is d(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*m = 1389, -8*r = -10*r + m + 927. Calculate the remainder when r is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6390784\/3 + 4\/3*z**2 + 10112\/3*z.\nAnswer: 4*(z + 1264)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-1 - 0) - 2. Suppose 3*j - 2*j - d = 0. Suppose b + 0*w - 2*w - 141 = 0, 3*b + j*w = 459. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.44 + -24.44. What is the closest to -0.2 in 0.24, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-825)\/(-4 - -1) + 4. Calculate the greatest common factor of l and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2 - (-5 - (-7 + 0)). Suppose 2*i = 4*y + 19346, -9676 = -n*i - i + 3*y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 4*d + 14. Give x(-6).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -87 + 21. Let t = s + 99. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(11))*-1*-2.\nAnswer: -20 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d + 2327 - 3858 - 3845 = 0 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 1. Suppose 3*v = 4*k + 27, 4*k + 25*v + 19 = 20*v. Let j(l) = 7*l**2 + 14*l - 6. Determine k*a(b) + j(b).\nAnswer: b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + (sqrt(1331) - (-1*sqrt(1331) - sqrt(1331))) - sqrt(1331)) + -3 + 5*(0 + sqrt(1331) - sqrt(1331)))**2 + -5.\nAnswer: -198*sqrt(11) + 11983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1643, 3203, 4917, 6791, 8831, 11043, 13433?\n\"Answer: k**3 + 71*k**2 + 1340*k + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + -7 - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 8) + (1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563031 is divided by 99.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (345*f**2 - 507*f**2 + 902*f**2 + 718*f**2)*(10 + 2 - 5).\nAnswer: 10206*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3658979 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0, 20\/61, -3\/4, -4, 5, -3 in decreasing order.\nAnswer: 5, 20\/61, 0, -3\/4, -3, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 bigger than 188\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788 > 2742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 82*r + 82*r = -702 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**2\/2 + 19. Give m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1950 (base 12) to base 4.\nAnswer: -300030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-475)\/57*(-2352)\/560?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -118?\nAnswer: 19\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11399582 + 11399570.999973. Let m = u - -11. What is m rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**4 + 57 - 57 + (-3*f + 4*f + f)*(-10286*f**2 + 10286*f**2 + 6*f**3).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + a47a?\nAnswer: a49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30908783 and 15127?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*c - 7*c - 2*c + (-2 + 5 - 2)*(-2*c + 3*c + 11*c).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0 (b) -463 (c) 5 (d) 38 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16 - (55\/(-88) - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/12*(-2)\/(-3). Let k = q - 0. Is k smaller than -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3362*-7\nAnswer: -23534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 11 = 3*g - g, f = g - 5. Let q be ((-5)\/g)\/(2\/(-8)). Let x = 1 - -29. What is the highest common factor of q and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.113? (a) -0.5 (b) -2 (c) 8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -61306 and -21657845.\nAnswer: -21719151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 30297210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 11*k**2 + 12*k + 27. Let n be a(11). Suppose 8*h - 17 = n. Solve -5*m - 5 = 5*r - 0*m, -3*r + 2*m = -h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 14*i**2 + 23*i + 28. What is the smallest common multiple of 40 and n(12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 4*w + 20. Suppose -k - 6 = -w*k. Solve -n + k*n + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102034181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f. Let v = f - 0. Suppose 2*a = -v + 6. Solve -11 + a = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -427 and 6612.\nAnswer: -2823324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1552187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -3 + (2 - -1). Let a be (-684)\/(-4) - i\/2. Let b be a\/(-60) + (-4)\/30. Is -3 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4257, -8502, -12737, -16956, -21153?\nAnswer: -25322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -32*u - 1470. What is i(-43)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4 = -16. Put -8, i, -5 in decreasing order.\nAnswer: i, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 14. Suppose o*t = t + 1662. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 6*q**3 + 219*q**2 + 210*q = 0.\nAnswer: -7, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*p = -7 - 13, 5*j + 2*p = 73. Let w = j - 9. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 61\/9 - (-14)\/63. Let y(n) = -3 + d - 2. Let w = -57 - -58. Let c(b) = b. Determine w*y(i) - 2*c(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:41 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8121148 to the nearest integer?\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 14*g + 16. Let u be 2 + 49\/g + 3\/4. What is the greatest common factor of u and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 12*x**2 - 14*x - 10. Let m be p(-13). Suppose 0 = -0*b + b - 4*u, -m*b + 5*u = -35. Let q = b + -10. Solve t - 3 = o - 7, 4*t + q = o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -2, -31, 3, -5, 0, -4 in descending order.\nAnswer: 3, 0, -2, -4, -5, -31, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/355 + 734\/1065. Factor 18*g**2 + 0 + p*g**4 - 6*g**3 - 18*g.\nAnswer: 2*g*(g - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 + 2. Let b = -1 + 1.5. Let d = 158 + -2684\/17. What is the closest to -1 in d, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -3, -4, 14051, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14462*n**3 - 4*n - 6869*n**3 - 5451*n**3 + 3*n.\nAnswer: -26782*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 10*r**2 + 2*r + 24. Let v be c(-10). Suppose n - 3*n = -4*w + 54, -4*w - 2*n = -50. Let o = w - 12. What is the closest to 0.1 in -2\/7, o, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12006 divided by 352.\nAnswer: 6003\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885 - 5*c - 6*c**3 + 2*c + 727.\nAnswer: -6*c**3 - 3*c + 1612","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + v. Let j(w) = -2*w**3 - 13*w**2 - 29*w - 18. Let f(c) = -j(c) + m(c). Find i such that f(i) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2. Let m(f) = -114*f + 390*f - 852*f. What is r(m(j))?\nAnswer: -663552*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, n: 7}. Give prob of picking 2 g.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 2772?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*b = 893*b - 5*j + 24, 0 = -4*b - 6*j + 24 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a factor of 213297300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -871 + -c?\nAnswer: -87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.067.\nAnswer: 0.0335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.6 - -32.6. Let d = 0 - 0. What is the nearest to 4 in -4, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 divided by 3368.\nAnswer: -41\/1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m**3 - 2*m - 1. Let x be w(-1). Let l(j) = 64 - 5*j - 66 + x*j. What is the units digit of l(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b*d**2*o*y - 5*b*d**2*o - b*d**2*y - 19*d**2*o*y - 2*d**2*o - 7*d*o*y wrt b?\nAnswer: 8*d**2*o*y - 5*d**2*o - d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6037751 and 10?\nAnswer: 60377510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/31988632 and -83\/182?\nAnswer: 223920424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) 5 (c) -5 (d) -13\/5 (e) -1.111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 4*s - 1. Let a be o(-13). Suppose -a = 6*n + 62. Let k = 67 + n. What is the least common multiple of 8 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 25. Let f = p - -15.3. What is the closest to -1 in 2, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n - 1. Let i(y) = y**2 + 6*y. Let a(b) = 2*i(b) - 3*s(b). Let j be a(2). Suppose 25 = 3*k - j. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15\/4, 2\/9, -0.5, 2221?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*7*(-18)\/((-612)\/(-85))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-54)\/12))\/((-1)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + -934. Let d = b + 1035.000001804. Round d to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6377568*o**2 - 25820832*o wrt o.\nAnswer: 12755136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, j: 1, u: 4, m: 2, x: 1}. Give prob of picking 1 u and 1 x.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 38*i**2 - 102*i - 1574. Is 151 a factor of l(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1347, 4883, 10761, 18975, 29519?\nAnswer: 42387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62.31 - -51.31. Put f, -3\/5, 9 in decreasing order.\nAnswer: 9, -3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11464, -23099, -34734, -46369, -58004?\nAnswer: -69639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 9:57 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.8, -10, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/4 - 467*p**3\/4 - 2317*p**2\/4 - 3237*p\/4 - 693\/2 = 0.\nAnswer: -462, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**5)*d\/(d*d**5)*d**7\/d**(-1\/4))\/(d**0*d*d*d\/(d**(-3)*d)*(d\/d**(2\/7))**36) assuming d is positive.\nAnswer: d**(-937\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*p + n - 9, -5*p = -2*n - 15. Suppose 0 = i + p, -r - 190012 = 3*i + i. What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2019 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/32358 and -23\/1121744.\nAnswer: 3365232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*d - d. Let b = -546 - -525. Let t(r) = 3*r + 72. Let v be t(b). Calculate the greatest common divisor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -60739.\nAnswer: -304\/60739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.47 + 1.41. Let t = m + 0.06. What is the second smallest value in -3, 2, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 + 38*w + 48. Does 62 divide y(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2708073 or 2708087?\nAnswer: 2708073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 342 = 366 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**7\/168 + y**6\/360 - 2*y**3\/3 + 5. Let t(q) be the third derivative of v(q). What is the third derivative of t(c) wrt c?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhsh when four letters picked without replacement from {s: 2, h: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5408*t**2*z + 2*t**2 + 15*t*z - 52*t + 740470*z - 65 wrt t?\nAnswer: -10816*t*z + 4*t + 15*z - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 95709.\nAnswer: 19141.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/45 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 7*w - 2. Let c(z) = 7*z**2 - 20*z + 6. Let d(r) = -3*c(r) - 8*s(r). Let a be d(-2). Solve -3*o - 5 = -2*o - a*p, -2*o - 5 = p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 9*l**2 + 364*l + 3275. What is o(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/20 + h**4\/2 - 7*h**2\/2 + 28*h. Let o be (-1 + -4)*(-12)\/(-10). Calculate r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0004*-1810.8.\nAnswer: 0.72432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by (8\/(-6))\/2 - -2*(-10089)\/(-54).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -7177.\nAnswer: -7177, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (7 - (-3 + 0 + 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/25 != -9.7304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(sqrt(396) + 2) - -1*(-2*sqrt(396) + -1))*6.\nAnswer: -252*sqrt(11) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Find the common denominator of -28 and 91\/10 - (-4 + z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4\/(j*j**8)*(j**2)**(36\/5)*(j**(2\/5))**(-14)*j**7\/j*(j*j**(-7\/4))\/j assuming j is positive.\nAnswer: j**(161\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 186526337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r + 0*r)*(-2*r + 4*r + 0*r) - r**3 + r**3 - r**3 + (4*r - 4*r - 2*r**3)*(-20 + 7 + 14).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 49. Suppose -j + 3 = -u, -3 = u - 2*u. What is the greatest common divisor of i and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.891211 to one decimal place.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4990132 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1901 - -9508\/5. Find i such that t - 1\/5*i**2 + 2\/5*i = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -320, -654, -1002, -1370, -1764, -2190, -2654, -3162?\n\"Answer: -g**3 - g**2 - 324*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/18)\/((-5)\/20). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 23*l + 48. Let a(f) = -f**3 + 19*f**2 + 21*f + 1. Let q be a(20). Let d be i(q). Solve d*x - 12 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**2 - 8*y + 3. Let f(c) = -6*c**2 - 7*c + 2. Let k(m) = -4*f(m) + 3*g(m). Let p = 74 - 70. Is k(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 4*m**5\/5 - 4*m**4 + 7*m**3 - 11*m**2\/2 + 2*m + 50. Determine l so that a(l) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnne when four letters picked without replacement from eeeennnenweeeenwen.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 5*b = -0*b + 5*b - 168 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/120 - 3*c**5\/20 + 3*c**4\/8 - c**3\/3 + 5*c**2. Calculate p(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/45)\/((-4004)\/(-325) - 12).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 c, and 2 g when four letters picked without replacement from ggucxfk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5124800 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2115 divide 98298855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 370 - 15?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3621555 (base 8) to base 3.\nAnswer: 1212101220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 206. Let k = p - 177.9. Put 0.5, -1, k, 3\/11 in decreasing order.\nAnswer: 0.5, 3\/11, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b35 - 30?\nAnswer: -b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 38*p + 18*p + 2 + 1 - 46*p - 5. Determine r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*w + 1 = -1, 0 = -3*b + 4*w - 2. Let h be (1 - -1 - -4) + b + 1. Suppose h*z = 2*z + 1127. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1184030904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 6*p - 2*z + z - 17, -3*z - 45 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -0.545.\nAnswer: -6.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 73*g**2 - 1. Suppose -8*u + 56 = -16. Let l(q) = 4*q**2 + 36*q. Let j(p) = -2*p**2 - 16*p. Let w(x) = u*j(x) + 4*l(x). Give w(t(n)).\nAnswer: -10658*n**4 + 292*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 4*m + 3. Let q(z) = -z**2 + 3*z + 5. Suppose 0*t + t - 5 = 0. Let r be q(t). Let h(v) = -v**2 - 7*v - 6. Let w be h(r). Determine s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/((-1170)\/(-6318)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2226*b**4*x - 25*b**4 + 41*b**2 - 49*b*x + 117*b wrt b?\nAnswer: 53424*b*x - 600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + 2*sqrt(228)*-1)\/((sqrt(132)*-2)\/sqrt(11) - sqrt(12)) - ((sqrt(133) + sqrt(133)*-2)*-1)\/(sqrt(14)\/sqrt(2)*3)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:15 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100718147 - -256037.2.\nAnswer: 100974184.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002407 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/(19\/(-456))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*x - 2*l, 2*x = -53*l + 50*l - 18. What is y in x*y + 1\/7*y**3 + 0 - 1\/7*y**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from {f: 3, e: 1, o: 1, j: 5, v: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - 68) + (0 - -4 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8326 + -3772. List the prime factors of w.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6575*q + 2 - 2 - 6575*q + 717*q**2.\nAnswer: 717*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/18 + 29575\/1050.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1234077\nAnswer: -1234077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(0*d + 5*d + 9*d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10875, 43446, 97739, 173760, 271515, 391010?\nAnswer: 532251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*29827.4.\nAnswer: 2296709.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 2435*g**4\/12 - 3*g**3\/2 + 21*g**2 + 1. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17107 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4 - 3272*r**3 + 123882*r**2 + 133688*r - 254296 = 0. What is r?\nAnswer: -1673, -2, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468266.8g to kilograms.\nAnswer: 468.2668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**4\/24 + 3*p**2. Let q(y) = -2*y**2 + 5*y. Let s(d) = q(d) + 4*v(d). Find the second derivative of s(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k**6 + 1\/70*k**7 + 0*k**4 + 6*k**2 + 0*k + 0 + 0*k**3 - 1\/12*k**5. What is the third derivative of r(c) wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -8. Calculate the common denominator of a\/(-80)*(-1090)\/(-15) and (-4)\/(-14) + (-2425)\/280 + 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4043 (base 9) to base 7\nAnswer: 11421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1995 = -10*r + 13*r + 16*r. What is the remainder when 304 is divided by r?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = r - 4*a + 3*a, 3*r - 5*a = 150. Let s be -33*(-10)\/r*3. Solve i - 2*x - 3*x = -28, s = i + 5*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/48 + 7*n**3\/24 + 44*n - 100. Let b(h) be the first derivative of u(h). Factor b(l).\nAnswer: -l*(l - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2548271, -5096561, -7644877, -10193219?\n\"Answer: -13*j**2 - 2548251*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2736)*-5 - (-4 + -4 + sqrt(2736)) - (sqrt(2736)*5 + 4 - -1*(sqrt(2736) + 4)))**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*j + 2*c - c, 5*c = -5*j + 210. Is 12\/j + 542\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3264\/4352)\/(1 - 30\/32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 66*i - 783. Let r be o(-72). Calculate the greatest common divisor of r and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2788 + -1924. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 12 = -6. Let j(m) = -9*m - 7*m - 16 - 7*m + 0. Is j(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -104923\nAnswer: -1\/8071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017965 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6.8+-0.0947279485\nAnswer: -6.8947279485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*h - 20. Suppose c - h = -0*c. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(3 - (-87)\/(-6)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 1e29a3c?\nAnswer: 1e29a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(320)*1)*6.\nAnswer: -48*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2917023, 0 in decreasing order.\nAnswer: 2917023, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/4)\/((-45)\/72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 32 = -4*g, 3*b - g = -0*g + 34. Suppose -16*o = -b*o - 33. Calculate the greatest common divisor of 121 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2519, 10060, 22629, 40226, 62851?\nAnswer: 90504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-912)\/84 - -11)*(-3 - 0).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 5*v**3\/6 - 665*v**2\/2 + 1320*v + 4671. Factor c(f).\nAnswer: 5*(f - 264)*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 10) to base 5\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/3 - 134470*m**2\/3 - 403403*m\/3 - 268934\/3 = 0.\nAnswer: -134467, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:43 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(350)\/sqrt(7))\/sqrt(10))**2) + -4.\nAnswer: -9 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -131\/2 less than 270\/2939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 3:20 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 436140 by -24230.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 69\/2. Suppose 1 + d*r**2 - 5\/2*r - 3\/2*r**4 + 5\/2*r**3 = 0. What is r?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9873 - 33.40973. Let g = -34.4 - v. What is g rounded to 4 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 498.557 centuries?\nAnswer: 4985.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let c be 176\/18 - 4\/(-18). Suppose -11 = -5*l - 2*q + c, -4*q - 23 = -v*l. Sort 2, l, -2 in increasing order.\nAnswer: -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.28 - 3.8. Let q = -0.48 + b. Let d = -0.9 - 0.1. What is the closest to 1 in d, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 6*d - 4. Let g = 777 + -772. Suppose -44*z = -45*z + g. Calculate l(z).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -6201.\nAnswer: -1\/6201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 41495.33 to the nearest one hundred.\nAnswer: 41500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12900, 27307, 41714?\nAnswer: 56121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 6. Let g(w) = -7. Give -3*f(n) + 2*g(n).\nAnswer: 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505 (base 15) to base 10.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 30749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.3 + 8.3. What is the nearest to 1\/2 in -5, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.81 - 6.01. Let o = 5.200052 + a. Round o to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -87, -75, -63, -51, -39?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -13211?\nAnswer: -118899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Let p(r) = -6*r**2 - 5*r - 5. Let l(i) = 5*i**2 + 4*i + 4. Let a(k) = -5*l(k) - 4*p(k). Calculate a(v(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877940 is divided by 612.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73912*b**2*d**3 - 10*b**2 + b*d**3 - 2*d**4 + 954*d**2 - 6 wrt d.\nAnswer: 443472*b**2 + 6*b - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*w - 8885, 5*l + w = 3*l + 3554. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -861*b**2 + 860*b**2 + 5409*b - 5409*b - 1. Let i(t) = -t**3 - 3*t**2 + 18. Determine i(p) - 3*w(p).\nAnswer: -p**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-560)\/(-210)*36\/8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:26 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/15*2\/((-8)\/(-10)). Solve -9 = -4*a + 4*r + 3, j*a + r = -3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = 18*w - 28081. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*h + 4*h. Suppose -3*m = -2*m - h. Let l(q) = q + 1. What are the prime factors of l(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-60)\/(-32)) - (-2952)\/1722*(-14)\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 15 = d, -3*o + 88 = 5*d - o. Let g = d + -12. What is the remainder when 17 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/9)\/(10\/(-15)). Sort -7, -3, b in descending order.\nAnswer: b, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1530490*d - 996309 wrt d?\nAnswer: -1530490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 117?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347.6264 years to decades.\nAnswer: 34.76264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + (12 - (18 + 45 + 0))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*d = -3*d + 17, -2*u - d + 13 = 0. Suppose -3*l = 4*o + 10, -u*l - 10 = 3*o + 2*o. Solve 5 = l*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsee when four letters picked without replacement from ettttecceetstetc?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 164, 249, 334, 419?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103140 is divided by 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 83) + 12 + 16 + 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/6 + h - 3\/2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6.9. Let b = 0.8 - g. What is the closest to 0 in 2, b, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1355\/11 - 123. Which is the closest to 2\/5? (a) -0.4 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109\/((-3488)\/1408) - -66.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255103027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135*f**6 + 147*f**4*s + 4*f**2 - 4434*f + 2*s wrt f.\nAnswer: -16200*f**3 + 3528*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/6)\/((-10)\/(-15)). Suppose -t - 2*z = -6, t + 15 = -3*t + 5*z. Put m, -4, t in ascending order.\nAnswer: -4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*s**2 + 7*s**4 - 2*s**2 - 15*s**4 wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 13 - 5 + 41*s)*(3 + 3*s - 3).\nAnswer: 123*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 102, 99, 96, 93?\n\"Answer: -3*u + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/51 + 20\/17. Suppose 2*h = -2*h. Which is the smallest value? (a) w (b) -2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 2*c - 12, 4*x - 3*c = -26 + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81606 by 3886.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 16*q**2 - 2*q - 16. Let c be y(-8). Is 1\/3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79674 or -79677?\nAnswer: -79677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 + 2 - -1)*2. Let j be (-9)\/6 + a\/8. Solve -2*d + j = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*b + 2, 11*u - 2 = 2*b + 7*u. Calculate the highest common factor of 7 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = -3*n - 3*o, 2*n - 4*o = -24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - g**2 + 3*g**2)*(-2*g**2 - 1 + 1)*(-104*g - 90*g + 185*g).\nAnswer: -18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from focoycfbfookkkcoycfc?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4\/y**(-3\/2)*(y\/y**(-1\/7))\/y**(-3)*(y**8\/((y*y\/y**6*y)\/y))**(2\/65) assuming y is positive.\nAnswer: y**(9111\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dbb78 (base 15) to base 12.\nAnswer: -297a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.718 + -16.91.\nAnswer: -19.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3 + 4422*p**2 - 10158152*p + 10153728 = 0.\nAnswer: -3616, 1, 1404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490 by 3581.\nAnswer: 490\/3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -16*v - 49. Let d(z) be the third derivative of z**4\/24 + 3*z**3\/2 - z**2. Let a be d(v). Is a != 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 740786 divided by 740786\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 508 and 310648?\nAnswer: 39452296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -918 + 372. Let l = 11719\/8 - 1477. What is the common denominator of ((-10)\/15)\/((-32)\/z) and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1)\/t**(-1\/3)*(t*t*t**(2\/5)*t)**(-4\/21)*(t**(-2))**(-24)\/(t**(3\/5)\/(t*(t\/((t\/(t**(-6)*t))\/t*t)*t)\/t)) assuming t is positive.\nAnswer: t**(1508\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058638 to five dps.\nAnswer: 0.00586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:03 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 583169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*g - 49 - 36 = -7*g, 5*p = -2*g - 64 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q - 12. Suppose 2*a - q*a = 0. Solve -v - 8 = -4*p - 20, -3*v - 5*p + 2 = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 2*n - 2*n)*(-3 + 2*n + 3) + (4*n - 5*n + 0*n)*(-n - n + 3*n) as y*n**2 + v + w*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5.977. Let v = 25880.022942 - 25880. Let b = w - v. What is b rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.2000112. What is u rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**5\/60 + d**2\/2 - 1. Let v(i) be the second derivative of p(i). Let u(r) = -31 - 43 - 6*r**2 + 37 + 37. Determine u(v(z)).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -53. Suppose -4 = 2*j - m, 2*j - 5*m - 1 = h. Do j and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 273752.21 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rllarlrralall. Give prob of sequence ra.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 2*p**3 - p**3)*(-1 + 1 + 4*p).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 42*p**2 - 422*p - 198. Calculate b(-19).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i + 13. Is 32 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + 2. Suppose -9*r - h = -12*r. Solve -4*c - r = -1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -995\/2 - -499. Find f such that 21\/2*f - b*f**4 + 15\/2*f**3 - 27\/2*f**2 - 3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 1. Let g(v) be the first derivative of -2*v**3\/3 - 105. Determine l(g(c)).\nAnswer: -18*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1190\/28)\/(-17))\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, 3\/7, -1, -7, -0.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/1440 + y**5\/120 + y**4\/32 + 5*y**3\/6 + 3*y. Let w(n) be the second derivative of l(n). Factor w(i).\nAnswer: (i + 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(3\/7))\/x*x*(x\/(x*x**(-5\/2)))\/x*x)\/(x**(-6\/5)*x*x*x*x*x**(-15\/4)) assuming x is positive.\nAnswer: x**(823\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76.65 - -6.45. Let w = 64 + y. Let z = 1.2 + w. What is the second biggest value in 5, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:29 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (139167\/(-315))\/(2\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/((-357)\/(-28))*9\/2. Suppose -4*u - v - 18 = 0. Let o(i) = i. Let h(r) = 7*r**3 - 6*r. Give u*o(n) - h(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/(y*((y*y**(2\/3))\/y)\/y))**(21\/5) assuming y is positive.\nAnswer: y**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.9 - 1.1. What is the closest to 2\/3 in -2, -5, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.81128467 to 1 dp.\nAnswer: 50.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23070 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 0*r)*(207 - 1544 - 983).\nAnswer: 6960*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -59. Calculate the remainder when r is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -4?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024783263 to six decimal places.\nAnswer: -0.024783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*g**4*x + 1234*g*x + 202758*x with respect to g.\nAnswer: 156*g**3*x + 1234*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 - 3*u - 8. Determine m(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/150 - 2*o**4\/15 + 3*o**3\/5 + 33*o**2. Factor n(k).\nAnswer: -2*(k - 1)*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27567317?\nAnswer: 23, 277, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 3*a - 13, -4*a + 4 = 0. Let z(q) = -1025001*q**2 - 3*q - 2. Let f be z(n). Round f to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 1. Suppose 2 = 2*n - 10. Let m be 3*n\/9*1. Let o = m - 3. Give v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 83 + 7*a**2 - 13647*a + 13647*a - 85.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-29 + 10)) + -16\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/11, -2, -400, 3 in ascending order.\nAnswer: -400, -2, -5\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 3. Let o be f(0). Suppose 5*i + o*h - 11 = 1, 2*i - h + 4 = 0. Let j = i + -7. What is j rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -66821 (b) -4 (c) 0 (d) -0.3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*((-454)\/(-150) + -3). Let s be (10\/(130\/13))\/(-7). Which is the nearest to n? (a) 0.1 (b) -2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 1171828.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 48, 7.\nAnswer: -4, 7, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = k + k. Suppose k*j = 4*j - 7. Let f(x) = -x**2 - 6*x - 2. Give f(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3333 + -1336. Calculate the remainder when f is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1163723802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + 1 + 4446614*u**2 - 5 - 11*u - 4446606*u**2 to x*u + a*u**2 + n*u**3 + i and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 839*d - 838.\nAnswer: -(d - 838)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(14)\/(1*sqrt(7)) + sqrt(4)\/(sqrt(2)*2) + sqrt(2) + sqrt(2) + ((1 + sqrt(200) + sqrt(200))*-6)**2.\nAnswer: 2887*sqrt(2)\/2 + 28840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-558)\/180 + (4 + (-102)\/10 - -5) and -61\/2860.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h**2 + h**5)*(-6 - 3 - 2) - h**5 + 3*h**5 - h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3424, -113 in ascending order.\nAnswer: -113, -1, 3424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*v + 494 = 0, -658 = -4*y - 0*v - 3*v. Let x = y - 97. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 159057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -123110130?\nAnswer: -123110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 151*d**2 - 19*d - 289. Let g be o(-11). Let p = -673027\/37 + g. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345\/242 - 77279\/42834. Calculate the common denominator of -20 + 292\/16 - 51\/252 and q.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1307 - -1307.08. Let m = 0.03 - -1.97. What is the closest to -2\/3 in -4, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600900 divided by 12?\nAnswer: 300075","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -4904, -2529, -154?\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12546 by -4182.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7235740*j**2 + 115342*j - 5 wrt j?\nAnswer: 14471480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10b0 - 7a?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**6\/10 + 11*b**3\/6 + 5*b. Find the second derivative of s(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 858 = 8*w. What is the greatest common divisor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 39 = -2*a, -4*a + 2*a - 17 = -3*z. Suppose -z*t = -6*t - 2. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/10 of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331864\/72 + (64\/72)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 4. Let b be n(-6). Suppose 3*y - 21 = 4*o, y - 4*o - 14 = 1. What is the second derivative of -8*d**3 - d**y + 2*d - 6*d - b*d wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -10 (b) 0.3 (c) 6 (d) -0.8 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 2 + 1.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.61 - 0.61. Let d = -4\/15 + -2\/15. What is the second smallest value in d, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34736 - 34731.4122. Let b = w + 4.41132. Let a = -9 + b. Round a to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46181583*a**3 + 380027030*a**2 wrt a.\nAnswer: -277089498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -4*g - 39 + 61 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 6*u + 1 - 2 + 13*u - 7. Let h be c(-8). What is the nearest to 2 in 5, h, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:10 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -229*m - 11. Let v be k(-1). Let x = v + -10. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(0 - 1) - -8. Suppose 0 = -5*r + c + 64. Suppose -t + 4*d - 20 = 0, -3*d + 10 = -5. Solve -f - 3 = -2*f, t = z + 5*f - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*673.\nAnswer: 201.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 552099 or 552101?\nAnswer: 552099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t + 70 = -8 + 1070 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b*n**2*x - b*n**2 - 214*b*n*x - 6*b*n + 2182*b - 4432*n**2*x - 109*n**2 - 2*n wrt n.\nAnswer: 14*b*x - 2*b - 8864*x - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2 + 2 = 0. Suppose o = 17*i - 11*i - 540. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -144. What is the remainder when 109 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + -5 + sqrt(245)*1)**2 - (4 + ((sqrt(5) - sqrt(25)\/sqrt(5) - sqrt(5))*1 - (sqrt(720) - 1*sqrt(720)))).\nAnswer: -13*sqrt(5) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -74. Suppose n*j + 1 - 51 = 0. Let m be (0 + 1)\/6 + (-66)\/(-36). Solve -3 = -m*r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.83 to 1 decimal place.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186282 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71253*p**3 - 274984 with respect to p.\nAnswer: 213759*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((1*(sqrt(2299) + 1) - sqrt(2299) - sqrt(2299)) + (-3*6*sqrt(2299) - sqrt(2299))))**2.\nAnswer: -7040*sqrt(19) + 14713616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -65*g + 455 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) - (-2)\/(-6). Let l be ((-54)\/9 - 22) + 21. What is the biggest value in 0.2, -2, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - -148. Suppose 0 = -4*w - 4*u + 560, -j + 819 = 4*w - 3*u. What are the prime factors of w?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (1 - -11) - (-21 + 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:52 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*z + 1195, 4*i + 2*z = -1797 + 6559. Calculate the remainder when i is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -3.03. Which is the nearest to 1\/4? (a) 3 (b) 3\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18032431274 + 1.\nAnswer: 0.81967568726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0, 45, -10.\nAnswer: -10, -2, 0, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 365 - 1064 = 0. Suppose f = -5*u + 1018. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/252 and -45\/532.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 7. Let a(q) = -20*q**2 + 36. Let h(r) = 2*a(r) - 11*k(r). Differentiate h(j) with respect to j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126 + -108 - (15 - (-11 - -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**2 - 163*h - 1 - 2*h**2 + 4*h**2 + 2*h**2 + 156*h - 3. Let m(d) = -d**3 + 11*d**2 + 13*d - 16. Let i be m(12). Calculate y(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6680.22 + -6736. Let b = o + 50.8. Let y = -0.02 + b. What is the second biggest value in 3, y, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 6737?\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10054, -10686, -11744, -13228, -15138?\n\"Answer: -213*r**2 + 7*r - 9848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 1 = w. Let n be ((-1)\/10)\/1*w. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176 + -168 + 0 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.1? (a) 2\/5 (b) 3\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 14, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*a - 6*a**3 - 2 + 2*a**2 + 4*a + 0*a**2 + 22*a + 4*a**4 to the form f*a**3 + m*a + o*a**2 + r*a**4 + q and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t - 25*t = -6*t - 713761. Does 116 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 15*b**2 - 22*b + 5. Determine f(13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 12, -p - 2 + 9 = 2*s. Let h = 5 - 3. Suppose -5*y - q - 24 = 0, -h*y - q = q + 16. Which is the nearest to -1? (a) y (b) s (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/(-176))\/((-18)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 2, k: 4, a: 1, l: 2, c: 1}. Give prob of sequence kk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(2057) - ((sqrt(272))**2 + -4)) + -2 + sqrt(272) + 0 + sqrt(272).\nAnswer: -269 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l**2 - 33*l + 2. Let x be s(4). Let o = 325 + -221. Let d = o + -42. Is d < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 10:18 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -30. Factor 5*w**p + 3*w + 13 - 10*w - 8*w - 33.\nAnswer: 5*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65074605543 take away -0.03?\nAnswer: -65074605542.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(432)*-1)*6)**2.\nAnswer: -2592*sqrt(3) + 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 6:48 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101323311 + 103?\nAnswer: 101330020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/6 + 26*k\/3 + 49\/2 = 0.\nAnswer: -49, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3586 - 1146 = 136*u - 924 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1656147.\nAnswer: -8280735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 1:22 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3740, 15676, 35820, 64172?\n\"Answer: 4104*j**2 - 376*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-1)\/(-9))\/((-2)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - (-4 + 11 - 11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 less than -301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8705*u - 5821 wrt u.\nAnswer: 8705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 2*i - 4*i. Let y(s) = -75*s - 9*s**2 + 75*s + i*s**2. Let o(g) = 3*g - 3*g - 2*g. Give y(o(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*m - 20. Find the common denominator of -61\/2 and (-134)\/(-22) - m\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 280\/46 + (-192)\/2208. What is the highest common divisor of k and 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/766 and -13\/8426.\nAnswer: 8426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6798.144 millennia to decades.\nAnswer: 679814.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/4))\/d)**(-2\/55))**(1\/28)\/((d*d*d**(-2\/7))**(1\/4))**19 assuming d is positive.\nAnswer: d**(-25079\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 602639603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 9*b - 7*b)*(-2 + 1 + 0)*(7195 + 20*b - 7197 - b).\nAnswer: 380*b**2 - 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 324.4 - -11.6. Let t = g - 336.01. What is the nearest to t in 1, -3, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11646 and 791124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 3:49 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10459*t**4 - 99*t**3 - 5177*t**4 - 5186*t**4 + 3*t**5.\nAnswer: 3*t**3*(t - 1)*(t + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8018385 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 1475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 3, f: 4}. Give prob of sequence fffa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 355 - 189. Let n = -15 + 316. Let q = n - v. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 23*r**2 - 23*r + 38. Let l be z(22). Solve h - 19 = -4*k, 3*k + h + l = 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4 - 8861*p**3 + p**2 + 824386*p.\nAnswer: -36*p**2 - 53166*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23200, -23198, -23194, -23188, -23180, -23170?\nAnswer: -23158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 1, e: 2, s: 1, g: 1, z: 1}. What is prob of picking 1 t, 2 e, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)**(-28)\/(a**(-1\/3)\/a*a*a**(1\/6)))\/((a\/(a*a*a**(1\/6)*a*a)*a**(2\/3))\/(a**(1\/2))**(-7\/4)) assuming a is positive.\nAnswer: a**(-629\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3155, 6316, 9477, 12638, 15799, 18960?\n\"Answer: 3161*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 divided by 3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 2 = a + 4*t, 0 = -a + 15*t + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3\/5 - 133406*u**2\/5 = 0.\nAnswer: 0, 66703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/106 and -63\/92.\nAnswer: 4876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/7 and 115\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 9*j - 5. Let f be s(-3). Let w(q) = -q**2. Let a(k) = -k**2. What is f*w(d) + 6*a(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*m**4 + 554574*m**3 + 114340601*m - 2?\nAnswer: 228*m**2 + 3327444*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17455839\/4 or 4363961?\nAnswer: 4363961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hubh when four letters picked without replacement from snsbssshhu?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 471 and 3454?\nAnswer: 10362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37867 (base 10) in base 16?\nAnswer: -93eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25589 smaller than 312\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/57 (b) -2\/15 (c) -3.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679\/(-9894)*(-3)\/14 - (-2 - 72\/(-32))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-5) + (-688553)\/(-5). Let m = -51710 + t. What is m rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from frhffrfkhvrfrhcf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2472662 divided by 23327?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-34)\/21)\/17)\/((-15)\/(-21)))\/(2\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + 19\/(-7). Let u be 1 + 9 - (51 - 29). Let v(g) = -g - 7. Let h(b) = 1. Let r(o) = u*h(o) + w*v(o). What is the first derivative of r(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1156131, 2312247, 3468359, 4624467?\nAnswer: 5780571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 7:11 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4)*12 + 0. Let n(o) be the first derivative of 2 + 1\/20*o**4 + 1\/2*o**2 - 2\/5*o - 4\/15*o**i. What is h in n(h) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/20 - l**2. Let w(g) = -g**2 + 2. Let a be w(0). Let z(k) = -a*k**2 - 1 + 1. Give z(m(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 9*y - 10. Let s be w(-1). Let j = 0 + 12. Solve j = 5*n + s*b - 4, 2*b = -2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**2 - 2*f - 8. Let t be c(4). Calculate the greatest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*u, z + 5*u - 25 = -4*z. Let g(k) be the first derivative of -z + 0*k + 1\/2*k**2. What is g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccynymyyqyyayyyqyq. Give prob of sequence ncc.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4665*g*s**2 + 3*g + s - 1483 wrt s.\nAnswer: -9330*g*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 206050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 - 2. Suppose 11*g + 105 = 61. Let q(v) = 3*v**2 + 3. What is g*l(j) - 3*q(j)?\nAnswer: 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*d - 54, 3*w + 66 = -4*d - d. Let l = 7 + d. Let j = 7 + l. Solve 3*g - z - 5 = 0, -g + j*z = -2*z - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. Let v = n - -8. Find the third derivative of 3*i**2 - 2*i**2 + 0*i**2 + i**v wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -15631 in decreasing order.\nAnswer: 2, -5, -15631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let h(o) be the third derivative of 47*o**5\/60 - 2*o**2 + 20. Calculate n(h(i)).\nAnswer: 47*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17)\/l**(2\/7))**(1\/57) assuming l is positive.\nAnswer: l**(-121\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-6)\/(-84)). Suppose -6*t = -c*t + 8. What is the greatest common factor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 12*y - 20. Suppose 5*q - c - 226 = -3*c, -5*c - 10 = 0. Calculate the remainder when q is divided by k(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 4. Let w be l(4). Let r = w + 0. Suppose -11 = 14*f - 39. Solve r = 3*v, -m = -0*v + f*v + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2611 - -5196. Suppose 9*q + 2*q - l = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 2*h - 11*h. Suppose h = -4*q + 4*r + 148, 32 = 5*r + 7. Calculate the remainder when 249 is divided by q.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25946000 rounded to the nearest 100000?\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762750 is divided by 270.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0) + (4 - 6 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2))\/((j*j**4*j*j)\/j*j))\/(j**(3\/4)*j*j*j**(-1\/4)))**21 assuming j is positive.\nAnswer: j**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/20 + 4*d**4\/3 - 3*d**3 - 17*d**2\/2 + 6*d. Let i be m(-17). Solve 5*s + 10 = 3*y, -3*s + i + 3 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 11. Let k be h(7). Solve 0*m - 30 = 5*m - k*f, -4*f = m - 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1254\/(-55) - (-2 - (-11)\/5). What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3 - 0. Is 14 a factor of 16\/20 + 6862\/10*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2467 (base 13) to base 15.\nAnswer: -17da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 69689 in increasing order.\nAnswer: -5, 0, 69689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 709, -23, 7 in descending order.\nAnswer: 709, 7, 4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3634398 to the nearest integer?\nAnswer: 1906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 - 0.1. Let a = d + 1.95. Let x be ((-3 - -1)\/(-1))\/9. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 4820*i - 1161620.\nAnswer: -5*(i - 482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -456*r**2 + 26912*r - 473. Give m(59).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*p**2 + 4*d**3*p*x**2 - 3*d**3*x**2 - 3*d**2*p**2*x - 22*d*p**2*x**2 + 89*d*p**2*x wrt x?\nAnswer: 8*d**3*p - 6*d**3 - 44*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:12 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 412281481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 2*p - 1. Calculate b(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 102 + -114 - 1*-13. Which is the nearest to -2? (a) 2\/17 (b) v (c) 9.1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 22488.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p - 2*p**2)*(-866*p + 63 - 866*p + 1733*p).\nAnswer: -2*p**3 - 126*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 4*r**2 + 2*r. Let p be c(-3). Suppose -4*k + 3*u + 5 = -3, -2*k + 4 = 3*u. Suppose -2*j = -k*q + 2, 4*j - 2*q + 1 = 5. Are p and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7790?\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = g - 10*g + 22, -3*u - 6482 = -g - 6476 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20046 and 1897584?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278 or 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 4*i - 4. Let b(s) = 2869*s**2 + 5*s - 1435*s**2 - 5 - 1436*s**2. Calculate 4*b(z) - 5*h(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a*a**(-16\/7))\/a**10)\/(a\/((a\/a**(-1\/14))\/a)*a)**(1\/3))**(16\/5) assuming a is positive.\nAnswer: a**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 - r - 4. Let o be a(-4). Let b(k) = k**3 - k**2 - 2. Let m be b(2). Let j = m - -3. Solve o*x + j = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4*(-5 + 2 + sqrt(1584) + -3) + -2)*6)**2.\nAnswer: -89856*sqrt(11) + 936724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.15 - 9.15. Which is the biggest value? (a) 2 (b) -0.2 (c) n (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -756 and 0.3?\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 - q**3 - 3*q**2\/2 - 4*q - 1. What are the prime factors of c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 56*z - 1. Let h(i) = -113*i + 2. Let m(o) = -4*h(o) - 7*w(o). Is m(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/l**(-15)*(l*l\/l**(-3\/2))**(-1\/24) assuming l is positive.\nAnswer: l**(377\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/((-6)\/23))\/(7\/(-672)). Let s = u + 1250. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2679*f - 1 + 2670*f - 5346*f.\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 92 + 32 = 0. Suppose 0 = -3*i + 6. What is the least common multiple of v and 24\/15*5\/i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -175555, -350290, -525025, -699760, -874495, -1049230?\n\"Answer: -174735*i - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 511053*x**2 - 4*x. Let o be m(3). Let w be ((-2)\/(-2))\/4 + (-358385027)\/28. Let z = o + w. What is z rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 103 - 271 = 0. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (31 + 0 + 0 - 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 50, -4 in decreasing order.\nAnswer: 50, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13740.3 times 1793?\nAnswer: 24636357.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times -0.06044?\nAnswer: 0.205496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20962, 37949, 54936?\nAnswer: 71923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*s + 3*l, 5*s + 4*l = -2547 + 2517 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2612, -2660, -2708, -2756, -2804, -2852?\nAnswer: -2900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c**(-2\/7))\/c)**(-2\/11)*c**(-3)*c**(-3\/7) assuming c is positive.\nAnswer: c**(-288\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**3 - 216*b**2 - 3888*b - 23328 = 0. What is b?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 44 = n, 5*n - 130 = 5*a - 7*a. What is the greatest common factor of 30 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 greater than 1579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 696 = 5*r. Let a = 118 - r. Suppose 5*y + 3*n - 22 = -3, -a*n + 12 = 3*y. Put 3, -3, y in decreasing order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.1. Let n = b - 0.16. Let s = -0.0400112 + n. Round s to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*f - 40*f = -651868. List the prime factors of f.\nAnswer: 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -36. Suppose -a = 3*j - 7*j. Let h be (-1)\/((-3 + 1)\/j). Put h, 1, 0 in increasing order.\nAnswer: 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -5 + 0 + 9. Let v be 4\/(-22) - ((-580)\/165 + l). Let x = -35 - -34.7. Which is the smallest value? (a) v (b) x (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajaja. Give prob of sequence aaa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**3 + 7*p**2 - 4167*p + 14. Let q(u) = -4*u**3 + 5*u**2 - 2778*u + 10. Calculate -5*c(n) + 7*q(n).\nAnswer: 2*n**3 + 1389*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**9)\/(l**(4\/7)\/l)*(l\/l**12)\/(l**(2\/73)*l) assuming l is positive.\nAnswer: l**(-10015\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 494*n**2 + 29581. Let p(g) = -14*g. What is f(p(d))?\nAnswer: 96824*d**2 + 29581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -0.02, -2\/19 in descending order.\nAnswer: 5\/4, -0.02, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104847 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 14, -5, -2 in descending order.\nAnswer: 14, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-8)\/16*8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 5*m - 3*m)*(-5 + 5 - 1)*(-10 - 11 + 57) in the form h*m + a and give h.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 4)*(0 + 2 - 4)*(-5*m + 0*m + m) to s*m + b and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.22556 millimeters in centimeters?\nAnswer: 7.722556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103218, 209836, 316454?\nAnswer: 423072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4 = 2*n + 3, 3*i = n - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -2 (c) -0.14 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 3*d**2 - 8\/5*d**5 - 5\/9*d**6 - 4 + 4\/3*d - 2\/3*d**4 + 20\/9*d**3. Find c such that y(c) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 46. What is the remainder when 87 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z + 12*z + 0*z - 8 - 5*z to the form t + y*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/3 (c) 3 (d) -0.126 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/339387 and -42\/1769.\nAnswer: 20702607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k\/(k*k\/(k\/k**(-6))*k)))))**(-19)\/((k\/(k*(k*k*k**(-5)*k)\/k))\/((k*(k\/(k*k**(-12\/7)\/k))\/k*k)\/k)))**(-1\/11) assuming k is positive.\nAnswer: k**(-530\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 - -151?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4, 85, 12 in decreasing order.\nAnswer: 85, 12, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + n - 15, m - 4*n = n + 1. Let x = -1 - -1. Let u = 0.02 + -0.02. Which is the nearest to u? (a) -0.5 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4186?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 452545639?\nAnswer: 452545641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8403, -8794, -9197, -9618, -10063, -10538, -11049?\n\"Answer: -k**3 - 384*k - 8018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2599498659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a decade in months?\nAnswer: 3060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/2, 0.08, -7.26, 3\/2 in descending order.\nAnswer: 3\/2, 0.08, -0.2, -3\/2, -7.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 46682*f - 186733. Give h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.989 - 14.7655. Round v to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = h - 82811, 5*h - 141040 = 5*s + 273000. What are the prime factors of h?\nAnswer: 3, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**3 - 12*r**3 - 16*r**3 - 14*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 + (2 - (-1 + 81)). Let k = -81 - f. What is the third smallest value in k, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (19 + -5 - 34)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 241185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 15, b: 3}. Give prob of picking 2 i.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 10:10 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7843, 8002, 8161, 8320?\nAnswer: 8479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.05 (b) -8 (c) -2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let o(d) = 23814671*d**2. What is b(o(c))?\nAnswer: 23814671*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 11*r - 8. Let o(g) = g**2 - 15*g + 25. Let x be o(12). Let d be 11\/x*(-10)\/1. Let i be c(d). Solve -10 = -i*a + 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17960090 is divided by 17960085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 22. Let f = 4 - 4. Suppose f = 5*k - 2*o + 25, -k + 4*o = 4*k + 35. Which is the second smallest value? (a) 0.4 (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 28*o - 18. Suppose -2*p = o*u, 22*p - 25*p - 6 = 0. Solve -2*y + 5*s = -16 + 5, -u*y + 2 = -2*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(76) - (-2 + sqrt(76))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000269330945 rounded to 6 decimal places?\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 22 + 18. Let x = o + -26. Let j = -18 - x. Solve j = -4*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 288, 556, 838, 1140, 1468?\n\"Answer: c**3 + c**2 + 258*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6711 = 3*r, 0 = -5*r - 7*l + 9*l + 11185. What is the remainder when r is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11428328, -22856666, -34285016, -45713384, -57141776, -68570198?\nAnswer: -79998656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 750000 to the nearest 10000.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + 2*v - 9. Let m(d) = 5*d**2 + d - 10. Let t(r) = -6*m(r) + 7*z(r). What is t(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7295, 0, -2, -4 in descending order.\nAnswer: 7295, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-536)\/(-469))\/(4\/(-42))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115784, -115528, -115246, -114926, -114556, -114124, -113618, -113026?\nAnswer: -112336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((0 - -35) + (0 - (-6 + 11 - -2)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/((-2)\/(-711)) + (-27816)\/(-2318) is divided by 118.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 53 + 21 - 5*q - 34. Calculate the remainder when o(-27) is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 1. Let c(n) = 1378 - 1372 + n + 2*n**2 + 4*n. Let t(b) = -3*b**3 + 2*b**3 - 4 - 4*b - 5*b**2 + b**2. Let g be t(-3). What is g*c(o) - 6*h(o)?\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -113, 107.\nAnswer: -113, 44, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -4*s + 16, 0 = -4*d + 4*s. Suppose -5*c + 5 = 4*q - q, 5*q + d*c = 21. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose -4*x = v - 338, 0 = 2*v - m*x - x - 616. Suppose 2*k = v + 340. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 5*a + 2.\nAnswer: -(a + 2)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.79606797 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -379105 from -251.7.\nAnswer: 378853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n - 1. Let y(u) be the second derivative of -u**3\/3 + 629*u. Calculate y(k(l)).\nAnswer: -32*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w + 11. Let a be (-3)\/9*3*-7. Calculate the remainder when z(a) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1738029 by 643.\nAnswer: -2703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30) - 9\/45.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 10*x**2 - 6*x - 7. Let k be s(-3). Suppose -j = -k*d + 837, 2*d + 2*j = 274 + 548. Is d a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40913406022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(9\/8)\/(z\/(z*z\/(z\/((z*((z**(3\/5)*z)\/z)\/z*z)\/z)))))\/((z\/z**(-23))\/z**(-23)) assuming z is positive.\nAnswer: z**(-1811\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 657*r + 62*r + 771*r - 223*r in the form m + p*r and give p.\nAnswer: 1267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116007.\nAnswer: 3, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1083 - 488. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 2*x - 2*x)*(5*x + 3 + 5*x - 11*x).\nAnswer: 2*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 24744004?\nAnswer: 24744002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005181858517 rounded to 7 decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.6 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*t - 8*t. Let j = t - -20. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -469 * -0.0827.\nAnswer: 38.7863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*d**3 + 88*d**3 - 7 + 69*d**3 + 7 + 27*d**3.\nAnswer: 296*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(1\/4)))\/l)\/l)\/l*l*l**(-4))\/((l*l**(2\/13)\/l)\/(l*l**6))*((l**(1\/3)*l)**(4\/3))**20 assuming l is positive.\nAnswer: l**(17153\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43899 or 44006?\nAnswer: 43899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6. Let a(u) = 8. Let d(l) = -2*a(l) + 3*s(l). Let p(m) = m + 16. Let q(t) = 40*d(t) - 5*p(t). Let v(f) = -5 + 2*f**2 + 5. Give q(v(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 + 3*z**2)*(-5 - 14*z**3 + 5) + (4 - 4 + 1)*(-3*z**3 - 2*z**3 + 3*z**3)*(6*z**2 - 3*z**2 + 18*z**2).\nAnswer: -84*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/60980 and 129\/86920.\nAnswer: 265019080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 1, l: 3, h: 1, i: 1, y: 3}. What is prob of sequence yhc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634675800 rounded to the nearest 1000000?\nAnswer: 635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 1 (b) -37 (c) -0.755 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m*m\/(m*m**(1\/3)))\/m))**(-40\/9)*(m\/(m**(1\/3)\/m)*m)**(-2\/21) assuming m is positive.\nAnswer: m**(-328\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/760*(254\/24 + 69\/92)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {f: 3, j: 4, n: 6}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and 16462967774.\nAnswer: 16462967788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -19*c**2. Let g(w) be the third derivative of -w**5 + 678*w**2. Determine g(n(z)).\nAnswer: -21660*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(sqrt(1216)*2 + 3) - (sqrt(2299) - 4*((sqrt(2299) + -1 + sqrt(2299) - sqrt(2299)) + sqrt(2299)) - (sqrt(2299) + 0 + 5))**2.\nAnswer: -147125 - 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24720\/197 + -2382381\/2167. Let c = m + 977. What is the common denominator of 32\/3 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205064025.\nAnswer: 3, 5, 2734187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-5)*n))**18 assuming n is positive.\nAnswer: n**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 158 = -0*w + 2*w, 5*w = 5*j - 190. Let v = j + -43. Is (-507)\/v - 3\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3261 * -3\nAnswer: -3.9783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from ppppphppphpppppppp?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:19 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1629 = 1627 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*y + 42 - 68 = 112*y for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Suppose 0 = -5*x + 2*v + 61, -t*x + 18 = -v - 32. Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70.20879l?\nAnswer: 70208.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4158827025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {a: 8, g: 4, q: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -9*n**3 - 2*n**2 - 3*n - 38. Find the second derivative of c(o) wrt o.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2757, 5514, 8271, 11028, 13785?\nAnswer: 16542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 662220 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05158 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97393745 or 97393742?\nAnswer: 97393745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30031 is divided by 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 22*k = 19*k + 8479 - 8485, 2*v = 3*k - 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Let a(n) = 377*n - 17. Let o be a(10). Let b(s) = -3753 + o - 6*s. Determine b(v(x)).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 297090848 by 928.\nAnswer: 320141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/85011672 and 5\/565936.\nAnswer: 1190163408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 984*w - 397. Is y(36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k + 4*t, -5*k - t - 2 = 3*t. Solve 0*d = -d + k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3.3. Let m = 0.051 - 1.951. Let y = 1.7 + m. Which is the third biggest value? (a) y (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {h: 1, k: 3, n: 1, g: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -18. What is the hundreds digit of 529 - s - (4 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l**2 - 2*l + 49. Let h be a(7). Calculate the greatest common divisor of 70 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50819 or 584?\nAnswer: 584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.3, -3\/13, -1 in decreasing order.\nAnswer: 2\/5, 0.3, -3\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/2)*l**(1\/6))**(-5\/8))**(1\/3) assuming l is positive.\nAnswer: l**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 969422185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.993030028 rounded to 2 decimal places?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670429.\nAnswer: 17, 113, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**3 + 6*a**2 - 5*a + 584. Let t(g) = -3*g**3 - 2*g**2 + 3*g - 1. Calculate k(l) + 3*t(l).\nAnswer: -2*l**3 + 4*l + 581","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2, -1, -2\/5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 - 23*u - 7. Calculate p(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 1504*j - 1502.\nAnswer: -2*(j - 751)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*a + 18, 3*a - 4*a - 3*s + 2 = 0. Sort a, 0, -2.\nAnswer: a, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - r + 15. Let l = 326296 - 326296.04. Which is the closest to l? (a) r (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z. Let y = -6913 + 6916. Let n(h) be the first derivative of 23 + 0*h + 4\/3*h**y + 0*h**2. Determine n(t(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -25.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -11bc65?\nAnswer: -11bc63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2 + 994720*s + 994725 = 0. What is s?\nAnswer: -1, 198945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 459, 1030, 1829, 2856?\nAnswer: 4111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 10925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-5) - 4\/(-20). What is the units digit of c*((-147)\/6 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*r + 0)*(2*r + 0*r + 3*r) - 2*r - 9*r**2 - 38*r**2 + 3 - 15*r**2.\nAnswer: -77*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*h + 210, -2*h = 5*b - 0*h + 1140. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195986*j**2*x**3 - j**2*x**2 + j - 3*x**3 - 24*x - 151 wrt j.\nAnswer: -391972*j*x**3 - 2*j*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/18)\/(1\/(-18)). Let w = -7 + n. Let c(l) = -8*l**3 + 6*l**2 - 6*l - 8. Let m(j) = -7*j**3 + 5*j**2 - 5*j - 7. Calculate w*c(f) - 6*m(f).\nAnswer: 2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432758072 to the power of 1\/3, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 1 (b) 0.4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1118, 2264, 3410, 4556, 5702?\nAnswer: 6848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jjjjjmmjjm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 2 in decreasing order.\nAnswer: 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 7*k + 5. Let a(h) = -11 + 2*h + 13 - 24. Let n be a(13). What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:48 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 - -221. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*w + 16 = 0, t + 10*w - 21 = 12*w. Suppose 21*i = -t*i. Solve 3*x - p = 14, i*p + 13 = x - 2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5656 and 974751.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-523959)\/10 - (-22)\/(-220) - 4. Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1509984 divided by -642.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 3 + -4)\/(3\/(-30)). Let x(v) = -v**3 + 15*v**2 + 16*v + 13. Let b be x(16). Suppose 12*m = b*m - h. Solve m = -4*u - u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 106.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:46 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 - -193. Suppose 0 = -3*k - l - 2*l + 51, 5*k - l - f = 0. Suppose 3*p - 620 = -7*p. Calculate the remainder when p is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4)*(-2*k**2 + 0*k**2 + 5*k**2).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102100 - 1?\nAnswer: 2102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 8:51 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(5888\/3864) + (2 + 0)*44?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -7072*o + 7068*o + 4*k, 4*o = -0*k + 3*k - 72 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, f: 5, n: 4}. What is prob of picking 1 f and 1 n?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-844688)\/(-5) - ((-336)\/(-35) + -3*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322499 + -340793.3. What is h rounded to the nearest 100?\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**5\/12 + k**4\/24 - 5*k**3\/6 - 20*k**2 + 2*k. Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5627931 divided by -1875977.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 920 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -9. Let k(a) = -3*a**2 + 3*a - 8. Let q(l) = -4*l**2 + 4*l - 9. Let j(g) = 5*k(g) - 4*q(g). Let o be j(0). Is w less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641.6784 days to seconds.\nAnswer: 55441013.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 (base 14) in base 3?\nAnswer: -201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1434*o + 242*o - 660*o)*(-1 - 1 - 1).\nAnswer: 5556*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10542 and 462927332.\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*s - 4 = 0, 4*d - 5 = 3*s + 11. Let l(r) = 4*r - d*r - 9*r - 5*r. Let t(w) = -w**2. Calculate l(t(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23824703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2 - 17*m - 25. What is the hundreds digit of f(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 10, -4\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -11997003?\nAnswer: 11996bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = c - 57 + 90 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 15. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 - -30. Let i = 307 - a. Is 1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42 + 7cb053?\nAnswer: 7cb095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/21 + (4\/28)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzxzzzxxxzx. What is prob of picking 2 z?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 12*t - 31. Let z be x(-6). Solve 4*r + 18 = z*s, -2*r - 4*s + 4 = -0*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/3 and 3001\/226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.425803 to one decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/305522 and 55\/4.\nAnswer: 611044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51971 rounded to 2 decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**5 + 832*y**4\/3 - 6880*y**3\/3 + 2656*y**2 + 15072*y - 3456 = 0. What is y?\nAnswer: -2, 2\/9, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {t: 1, a: 2, x: 2, d: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297208 and 204476?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 6575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 42 (b) -2\/17 (c) -0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44773*p - 12880 wrt p.\nAnswer: -44773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2 - 43*k + 45. Is 25 a factor of s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-45)*(-6408)\/(-89)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 192*g - 1148.\nAnswer: -4*(g - 41)*(g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 152.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-26)\/z**(3\/7)*z**(-31)\/(z**(-4\/21)*z) assuming z is positive.\nAnswer: z**(-1223\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18418.38 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + 13*l + 3 + 17*l - l - 13*l + 4*l**2 - 12*l**4 to the form d*l**4 + c*l + u*l**2 + b*l**3 + z and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*b + 17 = -f + 81*b, 79*b = 4*f + 81*b + 48 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71099058093\/19 + 3743319173. Let n = 1263793 - u. Let q = 309 - n. Which is the closest to -0.5? (a) 0.2 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0\/l*l*(l\/(l**(-4\/3)\/l*l))\/l)\/((l\/(l**(-5)\/l)*l)\/(l*l**(-2)\/l*l)) assuming l is positive.\nAnswer: l**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 59*a - 41*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-2) - 3)*-8. Suppose 3*n + 5*v = 2*n - 3, -m = 4*v. Solve 0*w = n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 178\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (-10900)\/(-320))\/((-3)\/(-12) + -1)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -280 - -295. Suppose -3 = -5*a + 17. Suppose -9 = -a*x + 35. What is the remainder when s is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1644 = -3*z + 3*q, -z - 10*q + 536 = -7*q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5388\/187 - 462\/17. Find the common denominator of -19\/2 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose -s - 4*s = 5*u - 30, i*u = -4*s + 19. Let c = 19 + -17. Solve -9 = u*r - c*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5602 + -5593. Solve -3*c + 8 = m + 2, -3*c = 2*m - b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 + 3*g - 2. Let r be -3 + ((-2)\/(-2) - 1). Let o be h(r). Suppose k = -k + o. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.7 + -32. Let l = -1.2996 - u. What is l rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -381 - 4247*g**2 + 4387*g**2 - 6*g + 6*g wrt g.\nAnswer: 280*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.95 - 7. Let t = g - -5.05. What is the biggest value in 0, t, 3\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, -5, -2 in decreasing order.\nAnswer: 17, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/36, -0.2, 3, 0.035, 1 in descending order.\nAnswer: 3, 1, 0.035, 1\/36, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/8194 - -32769\/57358. Which is the second biggest value? (a) r (b) 4\/23 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 204050.\nAnswer: 408100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k - 1. Let v(j) = -19*j**2 + 100*j + 2. Let i = -204 - -202. Let u(w) = i*z(w) - v(w). What is the second derivative of u(h) wrt h?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0879 - -7.0879. Which is the second biggest value? (a) 0 (b) 1\/4 (c) -1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 3, 666.\nAnswer: -4, -1, 3, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10098 - -10098. What is the nearest to s in -2, -1, -3, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-2)\/9 + 1250\/5760). Solve j = 22*a + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 + 13 = g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(-6*p**2 + 23*p**2 + 10*p**2) in the form b + a*p**2 + o*p and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-4*u**4 + u**4 + 0*u**4) + u**4 - 5*u**4 + 2*u**4 + (4*u + 1 - 1)*(-173*u**3 + 387*u**3 - 148*u**3).\nAnswer: 256*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**3 - 22*q**2 + 5*q + 21. Let i(h) = -3*h**3 - 15*h**2 + 3*h + 15. Let s(l) = 7*i(l) - 5*k(l). Determine s(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 9*f**3 + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 102531.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1136*z**3 - 2*z - 2178*z**3 + 1045*z**3.\nAnswer: 3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 0, 19 = x - 0*x - 5*q. Suppose -12 = -3*b, 16 = -8*w + 3*w - b. Let g be w\/(-2)*(-39)\/(-3). Calculate the greatest common divisor of x and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 19, -9, 1, 8 in ascending order.\nAnswer: -10, -9, 1, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -430a27?\nAnswer: 430a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-10) - (3 + 0). Let b = -94 + 29. Let h = 64 + b. What is the closest to h in -1, 2\/3, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1531329, -3062598, -4593865, -6125130, -7656393, -9187654?\n\"Answer: v**2 - 1531272*v - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1724*b + 6. Let y be s(-4). Let c = y + 41449\/6. Calculate the common denominator of 59\/6*3\/(-2) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10989396881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -480\/7 - -50859\/742. Which is greater: 1\/6 or o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -689425000 rounded to the nearest 1000000?\nAnswer: -689000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -0.6, -1\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let u(j) = -605*j + 292*j + 220*j. Calculate g(u(l)).\nAnswer: 8649*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45871667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 6*s + 5. Let o be b(-5). Suppose -c - 3*h + 13 - 2 = 0, c + 5*h - 13 = o. Let l be (c\/6)\/((-4)\/(-4)). Is l >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -1\/4*c**4 + 86 - 13\/2*c**2 + c - 14\/3*c**3. What is z(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 698\/103951?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5653 minus 1.3655451?\nAnswer: -1.9308451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74905\/10808 - 3\/1544. What is the common denominator of y and -89\/5056?\nAnswer: 35392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 438*p**3 + 15987*p**2.\nAnswer: 3*p**2*(p - 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:57 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32916*f**3 + 10 - 10 - 10*f - 84*f + 32914*f**3.\nAnswer: -2*f**3 - 94*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 10*c = -270. What is the greatest common factor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*r**2 + 117*r**3 + 0*r**2 - 13*r**3 - 108*r + 46*r wrt r?\nAnswer: 624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5064 and 144?\nAnswer: 30384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**2 - 413*t + 94. Calculate n(68).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -0.02, -5274.8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/24 + 10*x**3\/3 - 18*x**2. What is the units digit of g(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -286 + 9*m - 165 + 501 + 3*m - 351. What is t(25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - (60\/(-14) + -2). Suppose 16*d - 14*d - 2*u - 18 = 0, -2*d - 4*u = a. Sort d, 7, 4 in ascending order.\nAnswer: 4, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 796 + -1394. Let c be 24\/84 + m\/(-14). Let x = 46 + c. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 261. Suppose 6*b - s - 27 = 0. What are 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 385530420 divided by 3504822?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 2030?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28805 + -200?\nAnswer: -29005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1959 + -775. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/7))\/l**(-2\/7) assuming l is positive.\nAnswer: l**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + 3. Calculate the greatest common divisor of a and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 1\/5 (c) 1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -273182 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 236469 and 909.816.\nAnswer: 237378.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539418 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 9, 18, 27, 36, 45?\n\"Answer: 9*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 19. Suppose 0 = s*k - 12*k + 20. Solve k*r + 11 = -2*l - r, -3*l - 8 = -r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*d**2*f + 110641*d*f - 5868*f + 262 with respect to d.\nAnswer: 54*d*f + 110641*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*a = -8*q - 16, 3*q + 4*a = 6. Let p(h) = h - 50*h**2 + 2 + 7*h**3 + 48*h**2 - 8*h**3. Let g be p(q). Sort g, 1, -6 in descending order.\nAnswer: 1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**(-12\/17)))\/(o*(o\/(o*o**(-25\/2)))\/o) assuming o is positive.\nAnswer: o**(-435\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5360 and 41674?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v - 4 - 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*m**5 + 1196*m**4 + 12840*m**3 + 18256*m**2 - 4704*m = 0. What is m?\nAnswer: -7, -2, 0, 2\/9, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -55*a + 0*a**3 + 59 + 17\/4*a**4 + 0*a**2. What is the derivative of q(s) wrt s?\nAnswer: 51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 - 9*n**2 - n - 6*n**2 - 1 + 14*n**2 - 4*n**3 + 3*n**3 in the form z*n**2 + t + v*n**3 + y*n + w*n**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10901095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -c + 131, 278 = 2*c + 4*g - 2*g. List the prime factors of c.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -37 + 2*z + 2*z**2 - 3*z**2 - 22*z + 28. What is the tens digit of f(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22338\/((-26)\/(-11) + (17 - (-764)\/(-44))). What is the highest common factor of 612 and x?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 1202\nAnswer: 2283.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1559900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 11:55 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -154, -237, -320, -403?\n\"Answer: -83*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*b**2 + 176*b**2 + 175*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (20\/(-70) - (-13)\/(-28))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/4100 and -41\/50?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -12*l**2 - 4 + 14*l + 2*l**3 + 5*l**2 - 3*l**2 - 2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18877049 to the power of 1\/2, to the nearest integer?\nAnswer: 4345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 411551509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 33.2186\nAnswer: 166.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 + 60*j - 4499\/7.\nAnswer: -(j - 409)*(j - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 3\/2 + 10 + (-3991)\/442 and -61\/1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smc when three letters picked without replacement from {q: 2, i: 8, s: 1, d: 1, m: 1, c: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 9. Let a be 22\/(-10) + 2\/10. Let p = -2 - a. Sort -2, p, z.\nAnswer: -2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.7 - -13. Let j = -0.2 + x. Sort 2\/11, j, -0.3.\nAnswer: -0.3, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*c - 4*c**2 + 258 - 155*c + 453*c + c**2 - 150*c as h*c + b + i*c**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.3, 108, -4\/47?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - 76 - (-1 - 0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10823481, 10823510, 10823557, 10823622?\nAnswer: 10823705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595577736.\nAnswer: 2, 3, 13, 636301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 1\/2, 1\/7, -87, -2 in increasing order.\nAnswer: -87, -2, -1.1, 1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/895981 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 16215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -10471193, -4 in descending order.\nAnswer: 5, -2, -4, -10471193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1974 and 28644.\nAnswer: 1346268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 8:32 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 9*i - 10. Determine z(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012015200947 rounded to 4 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = 3*w, 4*w = 2*w - 8. Let x(c) = -c**2 + 6*c. Let t be x(b). Suppose t*f - 2 = -f. What is the lowest common multiple of 1 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 + -0.08. Let f = u + 2. Let x = 907.9 - 909. Is x less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.5937 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13260*z + 63 + 12522*z + 4976*z.\nAnswer: 30758*z + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g**3 - 266*g**3 - 361*g**3 + 82*g**3.\nAnswer: -690*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 501 = -513. Suppose 24*h = 28*h - v. Let f(r) = -3*r**2 - r + 3. Give f(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1152537051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 576675974 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 118747, -4, -12, -5, 0 in ascending order.\nAnswer: -12, -5, -4, 0, 118747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-1 - 7\/6). Suppose 10*v - 370 = 5*v. Let w = v - 75. Which is the third smallest value? (a) w (b) -0.2 (c) u (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -405*u**2 - 7*u - 6. Let b(o) = 2*o**2 + 4*o + 1. Let y(s) = -6*b(s) - z(s). Find the second derivative of y(k) wrt k.\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3013.056 litres to millilitres.\nAnswer: 3013056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 14*t**2 - 2*t + 12. Suppose 126*r + 77 = 115*r. Determine b(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 36424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkkkrkrkkk. Give prob of sequence kkrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 818, 1821, 3230?\nAnswer: 5045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207323 = 5065*o - 81382 for o.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-25)\/(-125)*140?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 7*z + 13*z - 19.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m*z**3 - 4*m*z**2 + 4*z**6 - 47*z**3 - 279*z**2 wrt z?\nAnswer: -24*m + 480*z**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3158*j + 42385 = -28093 - 55842 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.116 - -47060.52907\nAnswer: 47060.64507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -28, -52, -84, -124?\n\"Answer: -4*m**2 - 4*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(128) - sqrt(144)*1)\/(sqrt(12)\/(-2*sqrt(196))).\nAnswer: 105*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from {j: 1, s: 2, b: 2, n: 2, k: 1, t: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 - 102*g**2 + 483*g + 588 = 0. Calculate g.\nAnswer: -1, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - -10) + -2*1. What is the nearest to j in 4, 1\/4, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12*d. Let b(a) = 4*a - 1. What is h(b(f))?\nAnswer: -48*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1*l)**(-1\/17)*(l**(2\/3))**(-8))**(-4\/9) assuming l is positive.\nAnswer: l**(1100\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let f = 3 + v. Let o(n) = -2*n - 2. Let c be o(-3). Put f, c, 0.1 in descending order.\nAnswer: f, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1124\nAnswer: 5\/1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322777 and 578161?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 + -212. Sort t, 1\/2, -6, -0.1 in ascending order.\nAnswer: -6, t, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**5\/4 + 80*u**4 - 5025*u**3\/4 - 170*u**2 + 16855*u + 23100 = 0. Calculate u.\nAnswer: -77, -2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0*s**2 + s**2 + s**2. Let d(m) be the third derivative of -m**5\/30 - m**2. Give w(d(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 44772*s**2 - 44775*s.\nAnswer: 3*s*(s - 14925)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 513 - 18*r**2 - 513 + (-2*r - 4*r + 3*r)*(-r - 4 + 4) + 4*r + 3*r**2 - 4*r to a + z*r**2 + t*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7*851802\nAnswer: 5962614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 60*k**2. Let o(q) be the second derivative of -13*q**3\/6 - 2*q**2 + 2*q - 7. Let v(x) = -108*x - 33. Let i(r) = -33*o(r) + 4*v(r). Calculate i(y(w)).\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/11, -0.4, 0.5, 2, -22, 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 7.1\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/104 and -71\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409674 is divided by 18795?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 divided by -628?\nAnswer: -577\/628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2542, -4902, -7262?\n\"Answer: -2360*v - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67048.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -20. Let l(h) = h + 1 - 1 + i. Give l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1759270 or -1759271?\nAnswer: -1759270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 6*c**2 - 2*c + 3. Let a be n(-6). Let p = 3 + 1. Suppose -p*v = 13 - 313. Calculate the greatest common divisor of a and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63807, 63805, 63799, 63789, 63775, 63757, 63735?\nAnswer: 63709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/29499, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162895*w**2 - 169390*w wrt w?\nAnswer: -325790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0492128cm in meters?\nAnswer: 0.000492128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 3*z**2 - 4*z + 14. Let u be w(6). Suppose -2*r + u = -4*x, 5*x - 2*x - 811 = -5*r. What are the prime factors of r?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -208*j - 25. Is c(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -72. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11130 + 10?\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 8 + 10*t + 8.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = -2*z. Let n be 27\/(-18) + 4038\/4. Let l be (-2)\/13 + n\/637 + -1. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5812 is divided by 516.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 520409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 859 or 862?\nAnswer: 859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 + 508*k - 508*k - 4 + 4.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 438 - 441. Which is the nearest to 2\/113? (a) 0.4 (b) t (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-6)\/252*-21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31.9 - -22.2. Let q = -0.07 + -9.93. Let g = b - q. Which is bigger: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/5 and -55\/403724.\nAnswer: 2018620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 106*p - 110*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2423, -2417, -2409, -2399, -2387, -2373, -2357?\n\"Answer: c**2 + 3*c - 2427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 171*m**2 + 1. Let r(g) = 3*g - 7. Let i(p) = -p + 7. Let o(l) = i(l) + r(l). Calculate o(u(n)).\nAnswer: 342*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i + 5*i + 7*i + 2)*(-23*i + 7*i + 6*i).\nAnswer: -10*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -28 + 5 + 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 31*x**2 + 28*x + 20. Let z be q(-32). Let a = -613\/4 + z. Suppose -3*m - 10 = s, 5*m + 2*s + 7 = -8. Is m less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 2*z**2 - 4*z. Suppose -12 = r - 4*t, r + t - 33 = -4*t. Suppose 5*h + 7 + r = 0. What is the units digit of a(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76 in -3, -1, -9, -44, -7?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1. Let n = -15 + 17. Give s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (214*b**3 - 31*b + 31*b)*(1 + 3 - 3) - 2*b**3 + 0 + 0 as j*b + i*b**3 + x*b**2 + u and give i.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -24 - (-42 - -17)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/45161 - -361278\/225805. Factor 1\/5*c**5 - 6\/5*c**3 - 3\/5*c + 0 + i*c**2 + 0*c**4.\nAnswer: c*(c - 1)**3*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4214*v**2 - 944*v**2 + 561*v**2)*(4 + 0 - 2)*(0*v + 2*v - 3*v) as g*v**3 + m + p*v**2 + c*v and give g.\nAnswer: -7662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1 - 6 - 5*n**2 + 3 - n**3 + 3*n. Let i be u(-6). Suppose -y + 2 = -i. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k + 5*y - 2, 5*k + 3*y = 6. Let o = 233.8 + -233. Which is the third biggest value? (a) 3 (b) o (c) 0.5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(11)*1 + (sqrt(44) - sqrt(352)\/(sqrt(24)\/sqrt(3))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 4*x**3\/3 + 4*x. Let l(y) be the third derivative of 0*y**3 + 0 + 0*y + 0*y**4 - 114*y**2 + 1\/15*y**5. Calculate l(h(r)).\nAnswer: 256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.4, 21, -196?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 - -1159\/5. Let f = 41 - 79\/2. Put v, -2\/19, f in ascending order.\nAnswer: -2\/19, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2587, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -63*y + 85*y + 4 + 0 + 88*y**2 + 9*y**2. Let v(x) = -49*x**2 - 12*x - 2. Let p(t) = -2*d(t) - 5*v(t). What is the second derivative of p(h) wrt h?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1031429114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/81 and 43\/12466758.\nAnswer: 336602466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 6*h - 7*h - 17, 18 = 2*r - 2*h. Suppose 0 = -j + 4*q - 7*q + 6, r*q - 8 = 0. Let d be 37\/140 - (-2)\/(-8). Which is greater: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 31 - 1 = 5*r, 4*k - 26 = 2*r. Suppose 20*x = 33*x - 91. Let i = x + r. Solve 4*y = 3*q + 23, i*q + 20 = -2*q + 5*y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g**2. Let z(q) = -3 - 63*q + 3 - 124*q - 51*q. Calculate j(z(r)).\nAnswer: -793016*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44173407.\nAnswer: 3, 14724469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 5*y - 1 - 12, 4*y = -s - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -1\/7 (c) 676 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 2508 = -40*q. Calculate the remainder when q is divided by 9 - 2\/2 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5243*h - 68 = -5241*h - 2*p, -h = -4*p + 121 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83\/91 - -10\/13. Let l = -109 + 108.943. Let h = -0.157 - l. What is the third smallest value in h, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.004.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24865621 = -32*l - 4838517. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231\/2211551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (3 + (4 + sqrt(1377))**2 + sqrt(1377)*-2*-2)*-2 + -2.\nAnswer: -2791 - 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 * 0.05\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -77. Solve 22 = -5*l - q, l + q = -1 - m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30 + 21*b**3 - 9 + 5 wrt b.\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 0.421?\nAnswer: 0.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/112*20\/(-3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**5*v + 8*q**4*v**2 + 2*q*v**2 - v**2 - 22*v wrt q.\nAnswer: 20*q**3*v + 96*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -19*x - 5. Let v be 1*(-9)\/((-45)\/(-350)). What is the remainder when f(-6) is divided by ((-7)\/5 + 1)*v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-3*sqrt(200) - sqrt(200))**2*6 - -5*(sqrt(200) + -4)**2) + -1).\nAnswer: -121674 + 2400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 5:46 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 + 16) - (1 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -890 + 1521. Let n = 626 - q. Let o = 0.2 - -0.8. Put n, o, -3 in ascending order.\nAnswer: n, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 4*n + 30. Let j be s(18). Let f = j - 357. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7583.086 centuries in months?\nAnswer: 9099703.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 6*k - 6. Let p be b(5). What is the remainder when (-40)\/(-5) + (0 - -5) is divided by p\/(-7) + (-4)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58330 and 55014400?\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - 6*d**3 + 2*d**3)*(4 - 4 + 1) + (-30 + 39 - 22)*(-30*d**3 + 49*d - 49*d).\nAnswer: 388*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13658 + 6607 + 9*c - 11*c + 7051.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 6\/5, 0.3, 232, 11?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1450270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.009 - 155.87949.\nAnswer: -152.87049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*r + 1 - 4, -2*l - 4 = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 34205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 14)*3\/(-5). Suppose 5*l = 4*u - 139, -2*u = -i*l - 32 - 39. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000915707 rounded to 6 decimal places?\nAnswer: -0.000916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -20*b - 59 - 12 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/5, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 659 (base 14) to base 6\nAnswer: 5451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 11 - 3. Suppose x*l - 13 = 5*p, -5*l + 6 = 3*p - 1. Solve 4*d + 2*i + 14 = 0, -l*i + 12 = -2*d - 4*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:12 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 85*s - 6032. Let j be l(71). Solve 7 = -c + 3*n, 9*c - 5*c + 10 = j*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*v - 26865 = -2335 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**2 - 4*r**2 - 4 + 12*r**2 - 2*r to a*r**2 + p + t*r and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - d + 5*v - 3 = 0, 3*d - 4*v = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4 - 2 + 3 - 3*b. Let f be c(-2). Factor -3*d + 24*d**3 - 25*d**f - 1 + 3*d**2 + 2.\nAnswer: -(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1238.45.\nAnswer: 371.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 11, 478, -5 in decreasing order.\nAnswer: 478, 15, 11, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*u**2 + 133*u**2 + 122*u**3 + 815*u**3.\nAnswer: 937*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 8:13 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 10425620736073?\nAnswer: 10425620736064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1954? (a) -1\/8 (b) 0.2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 4. Is 8 a factor of t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2674935 is divided by 256.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 179961.\nAnswer: -1\/179961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 86 = -646. Solve -17*d - s = -29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v**3 - 252108*v**2 - 252117*v - 63030 = 0 for v.\nAnswer: -1\/2, 21010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -6, 0.1, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/155? (a) -2 (b) 0.03 (c) -11 (d) -4 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309612789 to the power of 1\/2, to the nearest integer?\nAnswer: 79433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m**5 + 726*m**4 - 5973*m**3 + 15780*m**2 - 7200*m = 0. Calculate m.\nAnswer: 0, 4\/7, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7266760 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-15)\/r**(-1\/15))\/(r*(r*r\/r**(-4\/11))\/r*r**(-10)\/r) assuming r is positive.\nAnswer: r**(-1039\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4143, 8270, 12383, 16476, 20543?\n\"Answer: -z**3 - z**2 + 4137*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12*18\/(-12))\/(74165\/8476)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(5\/4)*h)*h**(3\/4)*h*h*h)**(-1\/40) assuming h is positive.\nAnswer: h**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 748425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1272)\/48)\/(-53)*64\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 2\/11, -4\/13, -5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 11*l + 9. Let x be s(0). Suppose 4*j - 17 = -2*z + 23, -j - 5*z = -19. Let a = 108 - j. Calculate the greatest common factor of x and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/20*(-2 + 4\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -1 - -4)*(-5)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddudidrdddiurirrrd. What is prob of picking 1 u and 2 r?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -3\/4, -70, -76, 2\/11?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26371263\/520 + -50714. Find the common denominator of -65\/56 and s.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by -1261147\nAnswer: -173\/1261147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 33, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23\/3 of a hour?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 196383 - 392762 - 2497*b**3 + 196375 in the form t + v*b + r*b**2 + w*b**3 and give w.\nAnswer: -2497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/321? (a) -39\/32 (b) 8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391 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: Express (-w - 22*w**2 + w + (-2*w + w + 0*w)*(-w + 3*w + 0*w))*(2*w**2 - w**2 + 0*w**2) in the form m*w**2 + g*w**3 + a*w**4 + y + z*w and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2433 + -2432. Let k(n) = -25*n**2 - 20. Let c(m) = -m**2 - 1. Let v(i) = -100*c(i) + 5*k(i). Calculate v(s).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -4\/227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 + 2*k**2 + 3*k. Let f be m(-2). Suppose -2*j - f = -4*j. Suppose -3*t + j = 2, -n - t + 20 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -16. List the prime factors of 160\/112 - (-4)\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 149761 = -66*r + 3*a, 0 = -4*a - 32. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25207477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9a27 (base 14) to base 8\nAnswer: -64103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186547236 - -86971060. Let u = 99576137.99999936 + a. Let w = -38 - u. What is w rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i = -44*i + 60. Suppose 4*w = x + 779, -117 - 73 = -w + 5*x. Suppose w + 9 = i*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010010011010000 - 0?\nAnswer: -1100010010011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**3 - 20*b**2 + 324. Let l(d) = -19*d**3 + 39*d**2 - 647. Let c(o) = 7*i(o) + 3*l(o). What is the derivative of c(f) wrt f?\nAnswer: -3*f**2 - 46*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4957, -19096, -42425, -74944, -116653, -167552, -227641?\n\"Answer: -4595*r**2 - 354*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -s. Let p be -3 + s + (-1 - 2). Suppose -16 = 2*f - 6*f. Sort p, f, 0.\nAnswer: p, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14143?\nAnswer: 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2050677 or 0?\nAnswer: 2\/2050677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/12*-1*4. Suppose d + 6 = -n + 3*n, -o*n = -10. Solve 3*m - p + d*p - 9 = 0, 0 = 4*p - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73654 is divided by 6133?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*-1*(-4)\/(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25126, 49761, 73906, 97561?\nAnswer: 120726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ussu when four letters picked without replacement from {u: 4, m: 3, s: 4, o: 8}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 - (5 + -2))) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*f**5 - 10749*f**4 + 40420*f?\nAnswer: 140*f**3 - 128988*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1416)\/96 + (-6)\/(-8))*(-12)\/(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d8 + -2?\nAnswer: 7d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -26*n**2 - 16*n - 16. Let z(r) = -5*r**2 - 3*r - 3. Let x(c) = 3*w(c) - 16*z(c). Let q(g) = 4*g**2. What is x(q(i))?\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.4, 221 in ascending order.\nAnswer: 0.4, 7, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 180*x**3 + 368*x**2.\nAnswer: -2*x**2*(x - 2)*(x + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3587392 by -4.\nAnswer: 896848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55561 is divided by 27773?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:05 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/207, 2.8, -1.66 in descending order.\nAnswer: 2.8, -19\/207, -1.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/17 - 16*r**4\/17 - 4*r**3\/17 + 32*r**2\/17 + 2*r\/17 - 16\/17 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 28 + 76 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h = 12*h + 36*h. Solve -5*b - 80 + 95 = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -21*o**2 + o**3 - 6 - 3 - 8 + 15. Let g be f(21). Let a(i) = -i**2 - 2*i + 2. Give a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9433 - -9433.1. What is the closest to a in -5, -51, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*u - 47 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-80))\/(465\/8680)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 6840.\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6 - 188*j**3 + 4*j**2 + j**2 + 189*j**3. What is the remainder when 100 is divided by x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v**3 + 1. Let r(b) = -b**2 - 15*b + 14. Let f be r(-16). Let x be 12\/14 + f + 135\/63. Calculate y(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 13*a + 17. Let o be l(14). Are o and 20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/43)\/i**(9\/2))\/(i*i*i*i*i*i*i**(6\/7)*i**22) assuming i is positive.\nAnswer: i**(-20109\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5462133 (base 7) to base 13.\nAnswer: -1a6337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9016 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Suppose 0 = -2*v + t*x + 81, 2*v = -v + 4*x + 124. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/8)\/(1\/(-8)). What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-4 - -35)*(77 - (-5 + 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 5 + -3 + (-2 - (14 - 11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3 in 3, -1.2, 1\/7, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3\/4 - 448*y**2 - 113779*y\/4 + 38325\/2 = 0?\nAnswer: -525, -73, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5399934 divided by -3.\nAnswer: 1799978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.4 + 40. Let l = z - 8.6. What is the closest to -1 in 2, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.029 and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - y = 5, -w - 2*y - 2*y = -15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:27 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 717 - 4\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**2 + 10*z + 16. Let u(d) = -d**2 + d + 1. Let y(l) = b(l) - 8*u(l). Let a be y(-7). Is 1*(1 - 0) + a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -582 - -627. Which is smaller: 226\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12675 - -30?\nAnswer: 12705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 59793752*y + 446911597279688 = 0. Calculate y.\nAnswer: -14948438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2088629, 2088511, 2088393, 2088275, 2088157, 2088039?\n\"Answer: -118*n + 2088747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1*2 - sqrt(117) - sqrt(117))\/(1*sqrt(144)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, -5, 0, -107.\nAnswer: -107, -5, 0, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 97. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26807 and -0.4.\nAnswer: -26807.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/(h*(h*h**(3\/5))\/h*h))**(-2\/101)\/((h*h*h**(-2\/5)*h)**45*(h\/h**(2\/13))\/((h**(-5)*h)\/h)) assuming h is positive.\nAnswer: h**(-806537\/6565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -930.89 + -305.8.\nAnswer: -1236.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421625 is divided by 105112?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and (-15180)\/(-72) + 84\/72?\nAnswer: 15688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18155 - 18113. What is the remainder when 2734 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -20 - 19. Let b = f + 17. Calculate the highest common factor of b and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26850, -53768, -80692, -107622, -134558?\n\"Answer: -3*y**2 - 26909*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 14189214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/67 less than 10617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4))\/((-3375)\/1350).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 10086?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/9987461 and -31\/2596.\nAnswer: 39949844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.47094 milligrams in grams?\nAnswer: 0.01647094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5876003 * -0.3.\nAnswer: -0.17628009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6.4. Let m = 1.11 + 0.19. Let c = m - 1.2. Sort t, c, -0.5 in descending order.\nAnswer: t, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198056?\nAnswer: 2, 19, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 - 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111910.25*0.4.\nAnswer: 44764.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**5\/11 + 310*z**4\/11 + 5818*z**3\/11 + 25610*z**2\/11 + 20100*z\/11 = 0.\nAnswer: -134, -15, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130250, 130820, 131390, 131960, 132530?\nAnswer: 133100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, -15, -28, -39?\n\"Answer: p**2 - 18*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 12*a + 162. What is m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/9)\/((-1)\/1)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 183)\/((-5)\/(-40) + ((-8050)\/80)\/(-35))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 4123096846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*(-6)\/(-15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*w - 187, 4*w - 3*w = -2*h + 103. Let v = -34 - -36. Calculate the remainder when h is divided by ((-7)\/28)\/(v\/(-152)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -119334758 and -119334758 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -196 + 199. Suppose -5*t + 15 = -4*z, 15 = 4*t + t + 5*z. Solve -t*r + 0 = -o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -397*p**5\/2 + p**4\/12 - 245*p**3\/6 + 2*p**2 - 1035*p. What is the second derivative of v(x) wrt x?\nAnswer: -23820*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401496623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/15)\/(6\/9)*0. Let o(s) = -2*s + 119 - 2*s**2 - 6 + s**2. Is o(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 7. Let b(j) = -10*j + 34. Let l(w) = 2*b(w) - 11*g(w). What is the units digit of l(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*1*3\/(-9). Suppose 5*y = -2*j + 10, 0*y - 5*y + 10 = s*j. Calculate the common denominator of -54\/7 and ((-3)\/3 + -44)\/y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 51 - 8*i + 105 - 34. Let q be x(8). Suppose q = 4*n - n. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2 + 5*v + 33 + v**3 - 53 + 33. Is w(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-11 - (-2 + 7 + -3 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i. Let p(q) = 24668*q. Calculate r(p(j)).\nAnswer: 271348*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 66 + 99. Solve 4 = -5*q - d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1119750, -0.04 in increasing order.\nAnswer: -0.04, 1, 1119750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2744 = 104. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 4*f + (-4 + 3 + 2)*(-2*f + 3*f - 3*f) + 4*f - 4*f - f)*(-5 - 7 + 3)*(4 + 8 - 15).\nAnswer: -54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -18*g**3 + 3*g**2 - 3. Let v(j) = -16*j**3 + 2*j**2 - 4. Determine -4*d(l) + 5*v(l).\nAnswer: -8*l**3 - 2*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 169*g**2. Let l(n) = 2*n. Calculate l(a(u)).\nAnswer: 338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/150)\/((-1070)\/26750). Factor 36*u - 4*u**3 + 81\/4 + 1\/4*u**4 + 23\/2*u**z.\nAnswer: (u - 9)**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2025*m + 3*v = -2023*m + 2, 0 = -m - 5*v - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 110?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 247 - 594 + 2*x - 903 - x in the form c + p*x and give c.\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - 74) - -43.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 269312 - 1a?\nAnswer: 2692a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - k - 1. Let c(s) = 10*s**3 + 5*s + 3. Let g(d) = -c(d) - 2*f(d). What is the hundreds digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, 12, 2\/7 in increasing order.\nAnswer: -0.5, -0.2, 2\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -15. Put c, 15, 4 in decreasing order.\nAnswer: 15, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/39 (b) 62919 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514651, -1029301, -1543951?\nAnswer: -2058601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 7 + 220*k + 446*k - 437*k + 1.\nAnswer: 229*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (96\/15)\/(-4)*-10. What is the highest common divisor of 40 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 32 + 5*d**2 - 81*d**3 + 80*d**3 - 20*d**2 - 21*d. Let z be g(-10). What is z rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6983?\nAnswer: 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7169 - -347. List the prime factors of g.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 - y - 5. What is p(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -3, 5, 10, 8, 2\/291?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y - 1456. Let f = 1144 - 628. Let t = f - y. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5072082, 10144160, 15216234, 20288304?\n\"Answer: -2*p**2 + 5072084*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*g + 1 - 8, -5*g + 19 = d. Let n(b) = -5 + 4 + 1 - g*b. Let m(i) = i. Give n(m(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -12. Suppose 0 = -t*q + 5*q + 198. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -2. Let v be (0 - 2)*y\/(-4). Let i be (-3)\/(v\/(-10)*-1). Calculate the greatest common divisor of 105 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + 2 + 2*f**2 - 8*f - 6 - 8. Let t be c(6). Solve -2 = -k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328 - 8623 = -1459*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 + (-46 - -262) + -237?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*a - 70. Let l be 0\/5 + (a - (-1 + 0)). Let z = l - -32. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*p + 6 = -8, n + 2*p + 2 = 0. Let s be 2*(n + (2 - 2)). Suppose 0 = -0*t + s*t - 48. What is the remainder when 23 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccc. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1581*r**2 - 683*r**2 - 676*r**2 as a*r + c*r**2 + o and give c.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5\/7 + 204*q**4\/7 - 2664*q**3\/7 - 6378*q**2\/7 + 381*q + 882 = 0.\nAnswer: -2, -1, 1, 21, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 691.\nAnswer: 1\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326037?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/31))**(4\/35))**(-3\/11) assuming i is positive.\nAnswer: i**(-24\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4789454.\nAnswer: 2, 79, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(0\/2)\/4. Suppose x*m = 3*b - 3*m - 126, -5*b + 200 = -3*m. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*s - 238 = 10*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, j: 2, l: 6, m: 1}. What is prob of picking 1 j, 2 n, and 1 m?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 8*j + 14*j + 2784*j**3 - 35*j - j**2 + 14*j to w*j**2 + m*j**3 + h*j + f and give m.\nAnswer: 2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*z**3 + 12*z**3 + 13*z**3)*(-z - 6 + 4*z - 2*z).\nAnswer: -7*z**4 + 42*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 72. Suppose 0*g + i = g. Is ((-60)\/g)\/(3\/(-21)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*j**2 + 64*j - 6.\nAnswer: 2*(j + 3)*(11*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxxzrxrujjuj. What is prob of picking 1 u and 1 x?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 881511.\nAnswer: 881511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303739416?\nAnswer: 2, 3, 163, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603821.\nAnswer: 603821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1150336 and -59\/36784?\nAnswer: 12653696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*s - 7, -4*s = s + n - 29. Suppose 0 = 2*q - 2*m - 20, -s*q - 14 = 5*m - 104. Suppose 4*t - 2 = q. Solve -j - t*i = -i + 19, 2*j + 3 = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from nynffnvnybznnn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4054*g - 1205. Is v(33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.965 - -0.035. Which is the second biggest value? (a) 0 (b) s (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -398 + 1992\/5. Which is greater: -56 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 - 3 - 4 + 7 - 2*j**3 + 0.\nAnswer: -2*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 3*c - 5*c, -5*c + 2*y + 10 = 0. Let f be ((-1)\/3)\/(28\/12). What is the closest to f in c, 0.5, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2028624 divided by 13004\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 152\/355, -0.3, -0.1, -1, 0, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 + 9*d + 5. Let j(z) be the first derivative of -2*z**3\/3 + 3*z**2\/2 + 2*z - 512. Calculate -4*h(s) + 11*j(s).\nAnswer: -2*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -4\/315*x**7 - 7*x**2 + 0*x**3 + 1\/252*x**8 + 2\/45*x**5 - 3*x - 1\/18*x**4 + 0*x**6 + 0. Suppose d(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118\/11*k + 186\/11 - 6*k**2 - 2\/11*k**3.\nAnswer: -2*(k - 1)*(k + 3)*(k + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 617056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 1)*(4 - 4 + 2*f)*(3*f + 40*f + 18*f) to b*f + m*f**2 + q and give m.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g, -3 = 3*r - g - 9. Let j(q) = -8*q - 14 + r - 4*q**2 + 0*q**2 + 3*q**3. Is j(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.82 - -3.82. Let c be -1 + 2 - (-26)\/(-22). What is the closest to -1\/3 in c, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17534 (base 8) to base 14.\nAnswer: 2cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3825748.\nAnswer: 2, 17, 127, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9370492?\nAnswer: 2, 2342623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49281258.\nAnswer: 2, 3, 13, 31, 89, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)*g*g\/(g**6*g))**(-1\/6) assuming g is positive.\nAnswer: g**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 - -2499\/8. Let w = 4 + -2. Sort r, w, 5, 3 in decreasing order.\nAnswer: 5, 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -23*o - 2\/3*o**2 - 4\/27*o**4 - 14\/27*o**3 + 0. Factor a(z).\nAnswer: -4*(z + 1)*(4*z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*((sqrt(17) - -1*sqrt(17)) + 4 + 1 + (sqrt(17) + 1)*-5 + 0)*6.\nAnswer: -90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/16 + 3*g**3 + 39*g**2\/2 - 2704*g + 470. Solve r(s) = 0 for s.\nAnswer: -16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/12)\/(9\/(-264)). Let t = -38 - x. Let u = t + -18. What is the remainder when 38 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1195)\/(-56))\/5 - ((-8040)\/96 - -85)) + -3.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbw when three letters picked without replacement from {b: 9, d: 6, w: 4}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-2)*35\/28. Suppose -10 = -c - 6*n + 4*n, 0 = 5*c - j*n - 95. Let s = -7 + c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let d be a(1). Let u(f) = -13*f**2. Let s be u(d). Let n(b) = -b**2 - 12*b + 1. Let r be n(s). Is r equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (56\/6 - 8)*-6 + 241 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 3*d**2 + 8*d - 11. Let s(v) = 2*v**3 + 3*v**2 + 7*v - 11. Let u(o) = -5*f(o) + 4*s(o). List the prime factors of u(-6).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*s + 6 = 3*k + 98*s, 2*s = 4. Solve -2*n = 3*n - k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from mnynnyyzjnnynnmqy?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*x**2 + 18*d**2*x + 9*d**2 - 765*d*x**4 - 4*d*x + 2*x wrt x.\nAnswer: -4*d**2 - 9180*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -115, -159, -197, -229?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124698012?\nAnswer: 2, 3, 139, 74759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 0. Let z = -151224166.0000014 + 151224153. Let d = m - z. Round d to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - 0) + 3 + -4 - (-449 + 385)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -41. Let f(c) = 72*c + 1605. Let n be f(-22). Let j = o - n. Is -5 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28499013?\nAnswer: 3, 31, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2096*t**2 + 2013*t - 44. Give a(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - q**2 - q + 1. Let l(p) = p**3 - 6*p**2 - 8*p + 5. Let f(x) = -17*x - 237. Let i be f(-14). What is i*l(n) - 6*s(n)?\nAnswer: -5*n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 5*k - 4*k)*(-2*k**2 + k - k) - 21*k**2 + 4*k**2 + 3*k**3 - 3*k**2 to the form i + h*k**3 + b*k**2 + c*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342.8263 days to nanoseconds.\nAnswer: 29620192320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 15 + -7 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*p + 166*p - 204 = 0. Let b(a) = a**3 - 3*a**2. Let z be b(3). Let x be 6*(-126)\/p + (-4 - z). Which is greater: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*-2)\/(sqrt(324) + sqrt(324)*-6)*-5.\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**6\/120 + p**5\/30 - p**4\/12 - 16*p**2. Let g be t(-3). Sort -6, -1, g in descending order.\nAnswer: -1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2331c + 0?\nAnswer: -2331c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Suppose m - 5*o = 42, c = 2*m + 4*o - 3*o - 139. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4885102, -0.5, 1 in increasing order.\nAnswer: -0.5, -0.4885102, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)\/(a*a**(-2\/11)*a*a*a))**(-21\/4)\/((a**(-2)*a)\/(a*a**(4\/9)))**(-3\/2) assuming a is positive.\nAnswer: a**(2393\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2030.\nAnswer: 1\/2030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 218223.\nAnswer: 2618676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 347, 609, 857, 1085, 1287, 1457, 1589, 1677?\n\"Answer: -w**3 - w**2 + 272*w + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 52, 34, 4, 3, -10, 1.\nAnswer: -10, 0, 1, 3, 4, 34, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ab (base 15) in base 13?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6758, -2\/3, -8, 5, -3, 3?\nAnswer: 6758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4825763*n**2*w + 7*n**2 - 2*n*w**3 + 6*n + 16654 wrt w.\nAnswer: -4825763*n**2 - 6*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + -2.2. Let l = 2 + 2. What is the nearest to 0.1 in s, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3)**9*(y\/((y*y**(-11)*y*y*y)\/y))\/(y\/y**(1\/10)) assuming y is positive.\nAnswer: y**(351\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 5*u + 35 - 15, 5*f + 25 = -4*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 133 = 4*m - 0*d, 5*m - 173 = 3*d. What is the remainder when m is divided by (6\/(-5))\/(2\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16267 is divided by 406?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:09 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 218?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.2 - -38. Sort y, 0.03, 0 in increasing order.\nAnswer: y, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**4 + 3*s + 15*s**4 + 11*s**2 - 37*s**4 - 2 + 13*s**4 in the form f*s**4 + l*s**2 + p + i*s + d*s**3 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91683 is divided by 22901.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - 16 - (6 - -12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -36*s + 1137. Calculate c(32).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 12:41 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-182))\/(2292\/(-49851))?\nAnswer: 87\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-844 - 994 + 1633)*((2*x**2 + 0*x**2 - x**2)*(0*x**2 + 2*x**2 - x**2) + 3*x**4 - 5*x**4 + 0*x**4) as v*x**2 + j + d*x**4 + t*x**3 + i*x and give d.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.8419 + 7.0971. Let s = 0.061 + y. What is the closest to s in 0.2, -3\/2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193.711 + -1.811. Let y = -141 + z. Let k = 45 - y. What is k rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1733 - -1737. What is the closest to -5 in -3, -1, g, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70 and 17.\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191*l**3 + 180*l + 2?\nAnswer: 1146*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 278*b**3 + 19776*b**2 - 419328*b.\nAnswer: b*(b - 182)*(b - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -8413036701.\nAnswer: -8413036723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 133175667?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/27 + 11\/27. Let p = -61\/114 + 7\/19. Let h = t + p. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2\/3 (c) -9.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630 - 1288 + 658 - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 47*s + 4. Let y(f) = -130*f - 12. Let x(z) = 11*h(z) + 4*y(z). Let l(q) = -q + 1. Let i(k) = k - 2. Let p(c) = -3*i(c) - 6*l(c). Calculate x(p(a)).\nAnswer: -9*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 h when four letters picked without replacement from hhhhhhzhhhzzhhzhzh?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-2*l - 1 + 1)*(-2 + 23 - 3).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/232*(-10)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21010310200310 + 0?\nAnswer: 21010310200310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*((-2 + 1 - 1)*(18*f - 18*f - 16*f**2) - 2*f**2 + 1 - 1 - f**2 + 2*f**2 - 3*f**2).\nAnswer: -56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 + 2*z + 4. Let m be l(-3). Let v = 37 - m. Calculate the remainder when (-1824)\/(-39) - (-21)\/91 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*r + 15*r + 12. Suppose -1 - 62 = 9*i. Let s = i - -10. Solve r = s*n + 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20790, -41575, -62356, -83133, -103906, -124675?\nAnswer: -145440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82625401 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1574, 1774, 2074, 2474, 2974, 3574, 4274?\nAnswer: 5074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 13 = 2*i. What are the prime factors of i\/12 + (-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine fifths of a millennium?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2622 - 1149. What are the prime factors of t?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2061 - -2065. Solve z*w + 16 = 4*q, -8 = 4*w - 0*q - 2*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292028261 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:19 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egtt when four letters picked without replacement from {e: 2, t: 5, g: 8, f: 2}?\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -155, -48.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 24*w - 66. Determine a(-19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 bigger than 5420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51308483?\nAnswer: 3823, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 1. Let w be q(-3). Solve w*g + 6 = -0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4176*r - 221*r = -31640 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 11*s**2 - 19*s + 129. Let v(y) = -y**2 - 3*y + 3. Let u(z) = o(z) - 4*v(z). What is u(15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01405 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*s**2 + 43*s**2 + s + 4 + 43*s**2 as z + h*s**2 + g*s and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*c**2 + a*c - 2*a*y - 528*c**2*y - 23*c**2 wrt y?\nAnswer: -2*a - 528*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/99)\/((-1)\/(-1)*-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 26 = -0*o + 2*o, -29 = 3*o + 5*z. What is the closest to 1\/3 in 1\/2, o, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8256.7 to the nearest one hundred.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23650 and 15550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40443 - -261?\nAnswer: 41034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29980926341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 43 - (14 - 65)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/406)\/((-1)\/(-3236)). Let h = 41482\/783 + o. Calculate the common denominator of h and 53\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**2 - 2 + 2*n**2)*(-109 + 109 + 11*n**2).\nAnswer: 22*n**5 - 22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14157 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10241371 + -2879\nAnswer: -10244250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 22*i**2 + 66*i + 14. Let y(a) = -2*a**3 - 64*a**2 + 2*a + 54. Let s be y(-32). Does 37 divide n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*m**3 - 184*m**3 - 193*m**3 + 67*m**3.\nAnswer: -418*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. What is the closest to -1 in 3\/2, -6\/11, v?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(40\/(-775)) - 25\/(-10). Let y be 15\/f - (-5)\/25. What is the nearest to y in -4, -2\/9, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 5)*(-l + 10*l - l) - 4 - 2*l + 4 + (4*l - 4*l + 2*l)*(2 - 1 - 3).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5*2*200\/(-144)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -0.16, 2, 21, 0.02, -2\/15?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18538.\nAnswer: 2, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393256 is divided by 2870?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 398 + -397.632. Let a = -0.232 - g. Sort a, 2\/7, 5, -0.7 in decreasing order.\nAnswer: 5, 2\/7, a, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/396 + (18746\/24)\/13. Suppose 3*z = -5*j + 56, 3*z + j - 23 - 17 = 0. Calculate the highest common factor of p and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130681 (base 10) to base 3.\nAnswer: 20122021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1182\/15169)\/((-3)\/7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56506\/14 + (-72)\/(-84) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 6, d: 4}. Give prob of picking 3 t and 1 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 16*o - 147. Let w(x) = 3*x - 15. Let l(t) = -15*t + 75. Let u(v) = 5*l(v) + 24*w(v). Let c be u(o). Solve j = c*j + 2, 5*j = -g - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/12 - p**4\/4 - 7*p**3\/6 - 2*p**2. Let x(w) = -9*w**2 + 11*w + 13. Let v = -29 + 35. Give v*x(s) + 11*r(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g + 127162 = -825986. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 131*s - 151. Let r be k(11). Suppose -2*b = b - r. What are the prime factors of b?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 7:45 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from hckececpjeec?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145530 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 29*v**7\/210 - 7*v**4\/12 - v**3\/3 - 16*v**2. Find the second derivative of r(j) wrt j.\nAnswer: 348*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*l - 28 = 0, 2*h + 2 = -5*l - 32. Let o = 26 + h. Suppose -5*p + 2*t = -119, -p + 28 = -2*t + 9. What is the remainder when p is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*f - 45 = 0, -47*n + 4*f = -44*n + 2. Let u(r) = 8*r**3 + 2*r**2 - 6*r - 6. Let w(s) = -15*s**3 - 4*s**2 + 11*s + 11. Determine n*w(d) + 11*u(d).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*k - 33, a + 26*k = 21*k + 11. Calculate the remainder when 326 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 71274?\nAnswer: 71278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1014.834 + 103.814. Let x = 911 + l. Which is the second biggest value? (a) -2\/11 (b) x (c) -0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1727 + 456. What is the tens digit of (-30)\/135 + t*(-3)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 2781 = u. Let t = -318 + u. Which is bigger: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-3)\/(6\/10). Let a = 8 - m. Let t be -1 + (0 - -2) + 4. Solve -p + x = t, a*x = -5*p + x - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 7:53 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h + 373 = -29*h + 677 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/51? (a) 1 (b) -0.02 (c) -871\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/21 (b) 7 (c) -93637\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 709 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 30, -4*a + 4*l + 2656 = 2*l. List the prime factors of a.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28149, -56375, -84603, -112833, -141065, -169299, -197535?\nAnswer: -225773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017382 plus -2774.5?\nAnswer: -1020156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674.8643 months in years?\nAnswer: 139.572025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*t + 23, 5 = 2*d - 5*t - 10. Suppose d*r = 2*a - 6*a - 12, 0 = -5*r - 2*a - 6. Which is bigger: r or -2\/15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2117*m**2. Let y(z) = 50087*z**2. Give y(x(u)).\nAnswer: 224474356943*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 118135.\nAnswer: 7\/118135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 16)*(-3*d + 4*d + 2*d).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 27, 44, 75, 126, 203?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 131.\nAnswer: 2882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 697106445 divided by 3\nAnswer: 232368815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 2 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2270 + 2271.071. Let g = k - 1.12. Let d = -8.049 - g. Sort -1, -3\/7, d in increasing order.\nAnswer: d, -1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.447526 to 3 decimal places.\nAnswer: -1.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p + 10. Suppose 1744 + 1909 = 812*g + 405. What is the nearest to 0 in p, 2, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(30\/1359) + 2. Let h = -93 + g. Let o = 0.9 + -1. Which is the closest to o? (a) h (b) 4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23364763 + -4?\nAnswer: -23364767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 218480643*x**2 - 122968364 wrt x?\nAnswer: 436961286*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/120 + f**5\/30 - f**4\/12 - 4*f**3\/3 + 12*f**2. Let o be q(4). Suppose -4*b + 3*b = -o. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.077*-10.65.\nAnswer: 0.82005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*a + 25, 0 = 4*f + 2*a - 0*a - 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Suppose -2*j - 10 = 4. Let s = j + 10. Determine f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*y - 0*y. Let o(q) = -4*q**3 + 2*q**2 - 1. Calculate the smallest common multiple of o(-1) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2345 + 111?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 33 + 150*l + 21 - 56. Let a(p) = -2*p**2. Give a(n(w)).\nAnswer: -45000*w**2 + 1200*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 7*s**2 + 6*s. Let r be u(7). Let p = r - 30. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12*o*o*o\/o**(2\/11))\/(o**(-10)*o**(-2\/21)\/o))**(-26\/3) assuming o is positive.\nAnswer: o**(-155636\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 40. Suppose 6*s - 2634 + 14574 = 0. What is the remainder when (s\/8)\/(-5) - (-2)\/8 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -5*x + 3*w - 33, -64*x - 4*w + 584 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v - v - 2*v)*(-105 + v - 75 + 262) to m + b*v**2 + x*v and give x.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (5 + 2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) -134203 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + z - 1. Let d be c(1). Let t(r) = r**2 - 3*r - 1. Let a be t(4). Let k(m) = -2*m**a - 2*m + m**3 - 1 + 4*m + 0. What is k(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - ((sqrt(396)*-3 + sqrt(396) - sqrt(396)) + 5) - (sqrt(396) + (sqrt(396) + 3*sqrt(396)*-4)**2 + sqrt(396))) + 4 + -5.\nAnswer: -47922 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -0.01 (c) -31 (d) -4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 40. Suppose d - 32 = -3*s, -160 = -4*d - d + 3*s. Let y = d + z. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 6*m = -49 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -24. Calculate the greatest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496 + -482 + (-3 - ((0 - -3) + -1) - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 - 1) + 7 + -9 + (59 - (7 - -53)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 2684440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394104586.\nAnswer: 2, 7, 14225557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 n when four letters picked without replacement from tnvtnvntoivtt.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, l: 2, u: 1, t: 1}. What is prob of sequence tul?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 458205632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91838, 733666, 2475476, 5867258, 11459002, 19800698, 31442336, 46933906?\n\"Answer: 91665*c**3 + c**2 + 170*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*f - 11. Suppose f*g = 13 - 1. Suppose 0*t + 5*t = -g*q + 23, 0 = t - 5*q + 7. Sort t, 1, -4 in descending order.\nAnswer: t, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11260291 is divided by 1592?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4965, 20926, 47455, 84552?\n\"Answer: 5284*h**2 + 109*h - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -2*p + 9, -28*p = 36*p + 15*z - 15*z + z - 449 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314700 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 435 = -2*w, -6*w + 7*w = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(10*12\/200). Let r(k) = -k**2 - 10*k - 22. Give r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10201320, -10201321, -10201324, -10201329, -10201336?\nAnswer: -10201345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -124, -100, -66?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 6*g**2 - 6*g - 5. Let w(r) = -8*r + 40. Let a(k) = 5*k - 27. Let b(t) = -3*a(t) - 2*w(t). Determine 6*b(n) + d(n).\nAnswer: -2*n**3 - 6*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3099934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*x**3 - 2*x**4 - x**2 - 22*x**3 - 2*x + 10*x**3 + 2*x**2 to the form h*x + u*x**4 + c*x**2 + m*x**3 + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1744068 and 600063?\nAnswer: 242425452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 16*l**2 + 979*l + 132. Calculate f(-61).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, r: 9}. Give prob of picking 1 r and 2 e.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38164057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a + 214. Give h(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106378956 and 32376204?\nAnswer: 744652692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((14\/616)\/(1\/(-4)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44408, 88817, 133228, 177641?\n\"Answer: u**2 + 44406*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 535391 to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 209943*d - 2939208. Calculate w(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.118124 and -188.4.\nAnswer: -188.518124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:51 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = -5*b + 4, -5*b - 2 = 2*i. Let o(t) be the third derivative of t**4\/24 - t**3\/3 + 3*t**2. Determine o(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 6:25 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 17. Let t be d(15). What is the units digit of (-72)\/t*56\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1\/4 (c) 0.3 (d) -5\/4 (e) -3\/4 (f) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*q - 18. Suppose q*i = i + 27. Suppose -2*n + 373 = -4*o + i*o, -187 = -n - 2*o. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5211.396ug?\nAnswer: 0.000000005211396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = 48. Suppose 2*h = 14 - k. Let c(b) = -b + 1. Calculate c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71559 - 78417.4. Round f to the nearest 10.\nAnswer: -6860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30276\/870)\/((-24)\/20).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 2*s. Suppose -2*l = l - o - 43, o = 2*l - 29. Suppose x + 1 = 2*z, z - 2*z + l = -5*x. Let q(c) = c - 1. Give x*q(k) - h(k).\nAnswer: -2*k**3 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7448411, -0.05, -4.\nAnswer: -4, -0.05, 0.7448411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -1000001110?\nAnswer: -1000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -176, -24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -38545 times -67\nAnswer: 2582515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847186 is divided by 93994.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 38*z**3 - 13*z**3 - 9*z**3.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 a factor of 12246688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.213\nAnswer: 1.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - (3 + (1 - -1)) - -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.98 + 0.02. Let o = -8.6 + x. Let c = -0.4 - o. Put c, -1\/2, 0.4 in decreasing order.\nAnswer: 0.4, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -980*p**2 + 1124*p - 144 = 0. What is p?\nAnswer: 36\/245, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 3*c - 4718636 + 246863 - 2*c.\nAnswer: -3*c - 4471773","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-15)*z**(-3\/8)\/z*z*z*z*z*z\/(z**(-9)\/z)*z\/(z**(-2\/3)*z) assuming z is positive.\nAnswer: z**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 2*l - 1. Let k be x(-2). Let c be (-1 - k) + 30\/45. What is the second biggest value in 1\/6, -12, -0.5, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 52. Suppose i = 7*p - 104. Calculate the remainder when 319 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 72. Let b(j) = -j + 1. Let k be b(-1). Let x = v - k. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*x + 295, -x + 5*i = -4*x + 205. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/3130 and -62\/690165.\nAnswer: 1380330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 21 + 43*y**2 + 39*y**2 + 8*y - 2*y**2. Is q(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44383339 to four dps.\nAnswer: 0.4438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - -321. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - (-7 + (-4 - -7)). Let r be (-4)\/(v\/3) - 60. Let h = r + 78. What is the remainder when 39 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**5)**40*(k\/k**(3\/10))**(11\/6) assuming k is positive.\nAnswer: k**(16877\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3 = -4*g - 60, 34 = 4*g + 26 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*t - 3*n, t + 2*n = 2*t - 2. Suppose 23 = -t*o - 61. Let c be 75\/o + (-4)\/(-7). What is the second smallest value in 2\/7, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 1. Let m = -2 + 3. Let f(x) = -5. Let k(z) = m*f(z) - 4*u(z). Differentiate k(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 13) to base 15.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/1366498 and -79\/6149241.\nAnswer: 12298482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12562 divided by 11\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3861.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/25 in -1\/11, 3\/2, -3\/4, -0.6951?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26.6, -2\/5, 0.08 in decreasing order.\nAnswer: 0.08, -2\/5, -26.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 0*b + 0*b)*(-7*b + 10*b + 9*b)*(0*b + 2*b + b) to the form c*b + n*b**3 + j + x*b**2 + w*b**4 and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107\/222 or 0?\nAnswer: 107\/222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/5 (c) 1 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-2)*(22\/(-6) + 4). Which is the second smallest value? (a) 1 (b) z (c) 0.3 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*j = 3*j + 1392, 1401 = c + 4*j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0181 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22575.41 millennia?\nAnswer: 225754.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1741 * 0.01\nAnswer: -0.001741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(140)\/sqrt(4))\/sqrt(7) + -4 + -4.\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 58 - 24) + -7.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10))**(-2\/37) assuming i is positive.\nAnswer: i**(20\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -17. Suppose 190 = 9*r - d*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**3))\/(h\/h**(-3\/11)))\/(h**35\/h*((h\/h**(-1\/17))\/h)\/h) assuming h is positive.\nAnswer: h**(-5859\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 7316*w**2 - 7318*w**2 - 2 - 48 - 38.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 - -159. Suppose 0 = 15*b - m - 95. Solve 2*i = 6*i + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**4\/6 + i**3\/3 - 34*i**2. Let a(k) = -k**2 - 4*k - 4. Let p be a(-4). List the prime factors of l(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199430478 and 18252.\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.16\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -3. Let x = 78.2 + -85. Let t = d + x. Which is the closest to -1? (a) -0.5 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (4 - 5) - (24 - 33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h + 3*s + 348, s - 724 = -2*h. Let b = h - 701\/2. Let g = 846 - 5197\/6. Find the common denominator of b and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 22 + 5 + -27 + (-2)\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3884436831 to the nearest integer?\nAnswer: 62325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(76)*-2)\/((sqrt(20)\/sqrt(5) + sqrt(4))*3*-1).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 0)*(39*z**4 - 120*z**4 + 696*z**4) in the form s*z + r + c*z**3 + v*z**4 + n*z**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 186, 188, 190, 192, 194, 196?\n\"Answer: 2*k + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9590 - 5971. List the prime factors of o.\nAnswer: 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -227*k**2 + 13*k + 39. Let s be a(11). Let j = -9766 - s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180128 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5318 is divided by 2412.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -8.8 and -13.\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-5 - (2 + (-328)\/28))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3652*c**2 - 2308*c**2 - 4128*c**2 + 2927*c**2.\nAnswer: -7161*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5\/7 + 1347*z**4\/7 - 9*z**3\/7 - 4047*z**2\/7 - 2694*z\/7 = 0. Calculate z.\nAnswer: -449, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 + 2064*d**2 + 3*d + 15. Let g(f) = -18*f**3 - 6192*f**2 - 10*f - 52. What is -2*g(k) - 7*u(k)?\nAnswer: k**3 - 2064*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (0 - 0 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-13 + 7) - (0 + (-2 - -7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*r + 44*r + 16 - 19*r)*(2*r + 2*r - 3*r).\nAnswer: r**2 + 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*a**6*m - a**4 - 18*a**3*m**2 + 3*a**2*m**2 - a**2*m + a**2 + a*m - 448*m**2 wrt a?\nAnswer: 3720*a**3*m - 24*a - 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16452 = 55*m + 10072 for m.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492215042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -271*q + 53*q - 287*q + q + 2 - 2 + 0*q + 0*q - 2*q + (-3*q - 2*q + 3*q)*(0 - 1 - 1) in the form w + l*q and give l.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - -101201033313?\nAnswer: 101201100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1258788 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238650467 - 238650320.2159245. Let r = 0.2348245 + f. Let s = r + -147. Round s to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = 2*o, -12 = k + o. Let x be (k + -1)\/(-1) - 1. Suppose u - x = 3*u, -4*h + 28 = -4*u. Calculate the remainder when 5 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4207 rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -449908370 rounded to the nearest 100000?\nAnswer: -449900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2022018 divided by -3.\nAnswer: -674006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 - -1 - (-20 + 16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*h**2\/2 - 471*h\/2 + 5100.\nAnswer: -3*(h + 17)*(21*h - 200)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -556066?\nAnswer: -556063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1737, -1749, -1783, -1851, -1965, -2137?\nAnswer: -2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.14 (b) 69 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4 = 0, 0 = -5*m - 3*s - 467 + 469 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -15 - 1\/4*1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 8:32 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 64914.\nAnswer: 1493022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 8. Let f be d(-9). What is the units digit of 9 - (f + (-3 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 435 and 15?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14693*-0.6.\nAnswer: -8815.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8380 and 8?\nAnswer: 16760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364 + -230. Suppose -4*z + 8 = 0, -2*m + 4*z + u = z. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 - 11 = -2*s, 0 = 4*u - s - 140. What are the prime factors of ((-148)\/(-6))\/(u\/51)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13803 by 13803.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 297962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)*i*i\/(i\/(i**(3\/7)*i))*i*i)**(-9\/2) assuming i is positive.\nAnswer: i**(-2727\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7676*233.\nAnswer: 1788508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {w: 10, q: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/(sqrt(30)\/sqrt(3)*-3))\/((sqrt(144) - sqrt(36))\/sqrt(6) - (sqrt(6) - (sqrt(6) - sqrt(6)*2)*-3)))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((-4)\/(-3))\/(-1). Suppose 0 = -4*f + 3*d + 30, -10 = -4*f + f - l*d. Let s = 16 - f. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 8354\nAnswer: -25\/8354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2165240820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 1481*n - 45333. Give z(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -121812 at least 19\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhqq. Give prob of sequence yqhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdjzgjjzzdjjzddz. Give prob of sequence dj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2838677262.\nAnswer: 2, 3, 473112877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(5*sqrt(6)\/sqrt(3)))\/(-2*sqrt(12) + sqrt(36)\/sqrt(108)).\nAnswer: -3*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 + 9 = 0. Suppose 2*u - 1 = -4*v + k, -5*u + 18 = 2*v. Let p(z) = z**2 - 9*z + 2. Calculate the lowest common multiple of u and p(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3*u + 19 = f, -30 = 5*u + 5*f. Let t be (-28)\/(-36) - 10\/(-45). Put 0, t, u in descending order.\nAnswer: t, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) - (-81)\/(-12). Calculate the common denominator of -2 + 255\/i - (-24)\/(-16) and 64\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = -31 - 65 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -438.9 - -441. Let p = -0.25 + 2.65. Let i = p - s. Put -2\/7, 5\/4, i in descending order.\nAnswer: 5\/4, i, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 4. Let o(c) be the second derivative of -7*c**3\/6 + 15*c - 2. Calculate b(o(v)).\nAnswer: 28*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let a = -95 - -95. Let y(b) = -3*b**2 + 14*b**2 + a*b**2. Calculate y(m(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(5)*-2 + 2 - sqrt(320)*-1) + -4 + sqrt(125) + 3*sqrt(125) + sqrt(125))**2.\nAnswer: -124*sqrt(5) + 4808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.208 + 0.2080059. Round j to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141 + -110. Is z greater than 354\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-39))\/((-255)\/(-2448)*-8)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60326 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 15 - 84 - -12?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + -6 + 4 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748859?\nAnswer: 3, 7, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 204.\nAnswer: -204.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1394205280 to the nearest integer?\nAnswer: 37339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -221764290 and 17.3726.\nAnswer: -221764272.6274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - f + 10. Let x be s(10). Suppose -45*p = -50*p - x. List the prime factors of (0 - (4 + -3))\/(2\/p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -194719?\nAnswer: -37\/194719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0*u**5 + 0*u**6 - 12 - 13\/8*u**4 + 0*u + 0*u**7 - 3*u**2 + 1\/21*u**8 + 0*u**3. What is the second derivative of x(z) wrt z?\nAnswer: 320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17b2 + -1?\nAnswer: -17b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-77) - (-26)\/91.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -3)\/(1\/10). Let m be 5\/d + 2\/8. Suppose -126 = 5*x - 2*n, 0 = -m*x - 3*x + 5*n - 68. Calculate the common denominator of 20 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r - 923 = -34*r - 48*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4985 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q = 4*d + 119*q, 5*d + 15 = -5*q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 3:25 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000 (base 2) in base 11?\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 592296*b*q**3 - 370690*b + q**3 + 6*q**2 wrt q?\nAnswer: 3553776*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllllplllpl. Give prob of picking 2 l.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52472474 is divided by 825?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 604656 - 2?\nAnswer: 604654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -408*p + 413*p - 385 = 0. Suppose p = a - u. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -40 - -35) + -18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -219 + 219 + 8*y. Let g(u) = 23*u + 17. Let k(r) = -4*r - 3. Let d(j) = 6*g(j) + 34*k(j). Give d(l(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(15\/(-18)))\/((-1666)\/(-140) + -5).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4161 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6764 + (-15)\/(-45)*-33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -3. Let n = y - 31.9. Let c = 0.1 - n. What is the smallest value in c, -0.3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**3*j**2*u*w - 8*h**3*j*u*w + 2*h**3*j*u - 2*h**3*j*w + 7*h*j**2*u*w + h*j*u - 5*j**2*w wrt j.\nAnswer: -8*h**3*u*w + 14*h*u*w - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 947*r - 2*r**2 + r**2 - 947*r. Let m(u) = 114*u**2 - 8*u - 2. Let g(i) = 113*i**2 - 12*i - 3. Let x(v) = -2*g(v) + 3*m(v). Give x(w(n)).\nAnswer: 116*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463049092 + -4.\nAnswer: -463049096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Sort 2, z, -2 in descending order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2840 divide 1648381440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4178*n - 3432*n = -22380 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 344, 0.014, 3 in decreasing order.\nAnswer: 344, 3, 0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 29. Let k(p) = 40*p + 5. What is the remainder when k(1) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 1}. Give prob of sequence iyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910 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: Round -0.05325843 to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 891*o - 202944.\nAnswer: 3*(o - 448)*(o + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13623 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 8*x = 13*x + 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -1\/4, 9 in descending order.\nAnswer: 78, 9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 9.294.\nAnswer: 9.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 6:40 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -69*v**2 - 6*v - 126. Let g be 3 + 63\/18*-2. Let m(a) = 67*a**2 + 8*a + 127. Let q(d) = g*m(d) - 5*t(d). Find the second derivative of q(i) wrt i.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(44920\/(-252675))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*k + 20 = 264*k, u + 7 = -2*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167*h - 1293*h + 2898 = 0 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/26104 and -15\/208.\nAnswer: 52208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.19 + 0.066554118182.\nAnswer: -15.123445881818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwsswswwwws. What is prob of picking 3 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -100*w**5 - 56030*w**4 - 513369*w**3\/4 - 4609*w**2\/4 + 57589*w - 13671 = 0.\nAnswer: -558, -2, -1, 7\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1579*m**2 - 523 + 12844*m**2 + 262 + 261 in the form d*m + a*m**2 + t and give a.\nAnswer: 11265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 44 = -4. Suppose b = -5*s + 27, 17 = -3*s + 5*b + 50. Suppose -p = -s - 8. What is the least common multiple of p and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687794.5 decades in years?\nAnswer: 6877945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-3) + 2997\/243?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 + 82*t + 214*t**2 - 82*t - 109 - 101.\nAnswer: 214*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + t - 11*t + 0 + (-4 - 4 + 3)*(t + 0*t - 2*t) to d*t + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1717485 (base 9) to base 16\nAnswer: -e99b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5*y - y**2 + 0)*(3 - 6 + 7) in the form n*y + s + c*y**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(7\/8)\/y*y\/y**(-1\/4)*y assuming y is positive.\nAnswer: y**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 34*v**2 + 5*v + 3. Let h be w(-1). Let x = h + -30. Solve 2*z + 0*y - 4*y = 28, -x*y - 10 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d\/d**(-2\/9)*d*d))\/((d\/((d\/d**(2\/3))\/d))\/(d**(-5)*d)) assuming d is positive.\nAnswer: d**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + 2*(2 + sqrt(17)) - sqrt(17) - sqrt(17)) - (((-2*sqrt(85) - sqrt(85)) + sqrt(85))*3)\/sqrt(5).\nAnswer: 20 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3*z + 502153*d**3 + d*z**2 - 34217*d*z + 2*z**2 wrt z.\nAnswer: d**3 + 2*d*z - 34217*d + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -1 - (-20020)\/585?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - y + 3 = -0*i, y + 1 = -3*i. Suppose -2*r - 4 = -3*t, 4*t + 0*t - 5 = 3*r. Let f be t\/(-2) + i + 4. Solve -v + o + 5 = 0, 4*o - f*o = -v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 10:41 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2*(130 + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 20. Let h(v) = -1 + 4*v**2 - b*v**2 + 3*v**2. Let x(y) = 6*y**2 - 8. Let o be (3\/((-3)\/(-14)))\/1. What is o*h(r) - 2*x(r)?\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1927\/226 + 3\/113. Let j be (-10)\/(-4)*7\/(-2). Let d = b - j. Is d not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a. Let u = 8 - -3. Let l = 23 + -16. Let k = u - l. Give f(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13925.1744s in days?\nAnswer: 0.161171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -458*k**4 + k**2 + 2*k - 418. Let q(h) = -h**2 - h. Let n(c) = -q(c) - u(c). Differentiate n(t) with respect to t.\nAnswer: 1832*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4225304 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*x + 172*x + 153*x - 666*x + 164*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*s = -9, -3729 = -4*t - 2*s - 3717 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (256\/5)\/((-442)\/(-4200) - 60\/630) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k - 442 = -383 + 841 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let a(s) be the second derivative of s**3\/3 + 5*s**2\/2 - 2*s. Let n(c) = a(c) - x(c). Determine n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - o + 3032*o**2 + 0*o - 3036*o**2 - 1 + 4*o**4 to w*o**2 + x + a*o + z*o**3 + n*o**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 3041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.2, 16, 452, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2 + 51090*c - 959108 with respect to c.\nAnswer: 6*c + 51090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 92. Let a be (s\/44)\/((-1)\/(-4)). Suppose a*n + u - 23 = -3*u, -3*n = 3*u - 18. Solve -3 = g + n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6656)\/676 - (-10 + 0). Which is the closest to 0.5? (a) u (b) 1\/2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 24*k**2 + 6*k - 11. Let o(q) = -5*q**2 - q + 2. Determine 11*o(j) + 2*x(j).\nAnswer: -7*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4) + -5 + 3 + 3 - (sqrt(11)*-1 + 0 + sqrt(11) + sqrt(22)\/sqrt(18) + -2).\nAnswer: 2*sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 3*c**2 + c + 2. Let t(h) = -h**2 - 8*h - 6. Let m be t(-6). Let z be 3*m\/(-9) - 0. Give n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 385 + -275. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 0*i**2 + 9*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1553\/2220 - 5\/148. Find the common denominator of -113\/380 and a.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 1. Let r(v) = -2*v**2 - 27*v + 17. Let t(p) = -3*q(p) + r(p). Let a be t(11). Let i = a + 8. What is i rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -27. Let j(b) = b**2 - b - 10. Let f be j(w). Suppose 6*p - 55 = -4*m + p, -3*p = 5*m - 59. Calculate the highest common divisor of m and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 57, 157, 277, 417, 577?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490490 divided by 70.\nAnswer: -7007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -220025\/14 smaller than -15716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -49\/81992 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/27)\/(y**6\/y*y*y))**(4\/13) assuming y is positive.\nAnswer: y**(-748\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -20. Suppose -p = y - 5*y. Let t(h) = h**3 + 26*h**2 - 54*h + 61. Let l be t(-28). Solve -y*r - l = -2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 3007 + 45*b**2 + 2997 + 11*b**2 - b**3 to q*b + s*b**3 + a*b**2 + w and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 781655 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 0*j - j - 9574*j - 172 - 27811*j + 172 + (2*j + 0 + 0)*(3 - 2 + 0).\nAnswer: -37381*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009518665 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 5*y**2 - 3*y + 2. Let a be b(4). Factor -8*d - 8\/3 - a*d**2.\nAnswer: -2*(3*d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 4*h - 3. Let z be n(2). Let b be -1*9\/z - -6. Let m = 13 - b. Solve -d - m*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 10 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*1\/(-2). Let j(w) = 3*w - 2. Let g be j(2). Suppose -1 = g*x - u + 24, u = x + 10. Which is the closest to -2\/5? (a) z (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 106, 141, 154, 139, 90?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 7\/9 + -6 + (-336)\/(-54). Solve -4 = 2*g + n*d, 3*g + d = 4*d - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 6\/4)*0. Let n be 6 + -6 + 6\/3. Let q be (-6 + n)\/(-1 - r). Solve -h + 2 = 2*j, -3*h = -0*h + q*j - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 19. Suppose -7*w = -r*w - 700. Suppose -m + w = 4*f + 4*m, -4*m + 230 = 5*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95863.66ml in litres?\nAnswer: 95.86366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*h + 9*h - 5*h + (1 + 2 - 1)*(-h - 3*h + 6*h) - 2 + 3*h + 2)*(704 - 844 + 783) to the form i*h + c and give i.\nAnswer: 11574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-62 + (115 - 28))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2110 - 421?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 13. Let x be v(0). Solve 4*m - 3 = x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = 2*c, 2*z + 16 = 3*c - 0*c. Let h be 1530\/((-135)\/(-9))*c\/6. Solve -h = o - 34 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9591 divided by -2?\nAnswer: 9591\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3632 (base 7) to base 9.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3651456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:23 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 != 279016\/1345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 3*m - 3. Let z be t(3). Suppose z*c - 5 = 7. Solve -r - 23 = 5*h, c*r = 3*h - 7*h - 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 200*q**2 - 1556*q + 1760.\nAnswer: -4*(q - 1)*(q + 11)*(q + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -95*q**2 + 995*q - 1253. Give r(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 74*w**2 - 144*w + 1323. Is v(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24737*m - 24742*m - 5*n - 15, 15 = 5*n for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 4*z**3 + 69*z - 69*z + z**2 to x*z**3 + b + d*z + m*z**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 138255589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4304 is divided by 432?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.3 + -10. Let d = r + 0.3. Which is the closest to -0.1? (a) d (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6 + 5)*(0 - 18\/(-165))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*j**4 - 145929*j**3 - 2296704*j**2 - 9195840*j - 359424 = 0.\nAnswer: -624, -8, -3\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76 from 14.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003193 to four dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h)\/h*h**(-42) assuming h is positive.\nAnswer: h**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*2140216\nAnswer: -6420648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(0 + 17\/(187\/110))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13412919197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 1117 = -269. Calculate the remainder when r is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*r - 2*r = 8, -r + 28 = -3*o. Let k = o + 8. Is -4\/9 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 45 = 4*w. Suppose -y = 4*y - b - 75, 2*b = y - w. What is the remainder when y is divided by 1*(0 - 1*-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.029, 31, 92?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q - 4*b = -19, -13 = q - b. Is (3\/(-2))\/((22\/212)\/q) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 1. Let h(t) = -3*t + 2. Let b(c) = 11*a(c) - 4*h(c). Let m be b(0). Suppose -4*r = -5*r + m. What is the closest to 4 in 1\/6, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + 8 = 0. Suppose -2*t - 30 = 3*t. Let n be (-4)\/t*(-3 - u). Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 17. What is the remainder when 44 is divided by (23 - 0)\/(z - -3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19139302 divided by -182?\nAnswer: 105161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 3. Let i be 12\/(-30) + (-1)\/(15\/(-426)). Let q be i\/(-12) + 4\/(-6) + 7. Calculate a(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3456 - 1\/4*y**3 + 18*y**2 - 432*y = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 57.4. Let d be ((-9)\/(-30))\/(1\/2). Which is the closest to x? (a) d (b) -3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h. Let r(p) = 2*p**2 + 4*p - 7. Let i be (-1)\/3 + 34\/(-6). Let t be r(i). Let g(n) = -n**2 - 41*n + t*n. Determine g(s(d)).\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -54*b - 5. Let v be o(9). Let z = -920 + 652. Let s = z - v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3364 and 14036?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 14, 29, 48, 71?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*u**4 - 40*u**3 + u**2 - 139513*u + 1.\nAnswer: -1188*u**2 - 240*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 10:41 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-4))\/((-1)\/1*56\/(-28)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039137*9*4\/108 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2))**(-4\/11)*(((z\/(z\/(z*z**(-4\/3)))*z)\/z)\/z)**46 assuming z is positive.\nAnswer: z**(-2012\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtqkqooojoqoo. What is prob of picking 1 j, 1 t, and 2 o?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 2 + 2*w**4 + 4*w**3 - 16*w**4 + 7*w**4 + 4*w**4 as i*w**2 + t*w**4 + d*w**3 + a*w + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 1999, 3109, 4255, 5449, 6703, 8029, 9439?\nAnswer: 10945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f + 115 = 0. Let y = 9 - f. Suppose -4*v + y = -3*v. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -234362.\nAnswer: -5\/117181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 3*f + 502. Is a(0) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 232, 470, 708, 946, 1184, 1422?\n\"Answer: 238*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376681, -1506616, -3389827, -6026314, -9416077?\nAnswer: -13559116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2)*k)\/k)\/(k**(-13)\/k) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43678.92 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (1 + 0 + sqrt(147))**2) + -6*(-1*sqrt(300))**2 + ((2*sqrt(21)*1)\/(2*sqrt(112)) + 3)**2.\nAnswer: -31021\/16 - 11*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1911)\/(-377) - 5 - (-135340)\/9715?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c. Let u be x(-2). Suppose u = 5*d - 18. Suppose -2*m + 2*i + 44 = 14, 0 = d*i. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-1\/6))\/m)*m*m*m**(-2\/13)\/m)\/(m**(-2\/15)*m**(-1\/2)*m) assuming m is positive.\nAnswer: m**(107\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 166452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97330*s**3 + 279*s**2 + 10*s + 11.\nAnswer: -583980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 25 = 6*w - 9*w, 2*n = -4*w - 16. Find p such that 0 - 1\/4*p**3 - 1\/2*p + 3\/4*p**n = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 10*s + 2. Let m(w) = -w**3 + 2*w**2 - w + 2. Let b be m(3). Let q be j(b). List the prime factors of q + (1 + 3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + i = -136, 8*s - 3*s = 4*i - 204. Let n = 1627\/77 - 168\/11. Calculate the common denominator of (-626)\/(-144) + s\/198 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*j - 9 = 0, m + 3 = -4*j + 9. Suppose 3*l - 3*r - 54 = m, -2*r = 4. Calculate the highest common factor of 154 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2)\/((-3)\/(-3)) + 0\/(13 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*x + 3*x. Let z(s) = -s**2 - 2*s - 4. Let b(c) = -c**2 - 1. Let i be 1\/2 + (-3)\/6. Let m(k) = -k - 1. Let a be m(i). Calculate a*z(n) + x*b(n).\nAnswer: -2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 - 28*w - 66. Let s be q(-2). Let b(a) = 20*a - 14. What is b(s)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5089*q**2*r**3 + 529*q**2*r**2 - 11*q**2*r - 15*q**2 - 72*q*r**3 - 3*q + 11*r**3 - 2*r**2 + 5*r wrt r.\nAnswer: -30534*q**2 - 432*q + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3672 and -0.20875.\nAnswer: 766.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3404, -3, -2\/15, -2\/13, -3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148824 divided by -159?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/3 + -5\/3. Let t be (-76)\/(-6)*12\/352. Let r = t + -2\/11. Which is the biggest value? (a) r (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255346704?\nAnswer: 2, 3, 1773241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -2) + -2 + -2. Let m(l) = -l**3 + l**2 + l. Let j(v) = 2123*v**3 - 2*v**2 - 4*v - 2*v**2 - 2117*v**3. Give u*m(i) - j(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 123 = 23*m + 18*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.8, -9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6)*-4 - sqrt(6))*2 - (sqrt(378)\/sqrt(7))\/sqrt(9))\/(sqrt(48) - sqrt(240)\/sqrt(5) - (sqrt(75) + sqrt(75)*-3)))**2.\nAnswer: 121\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322391184 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + d. Let h be x(-3). Let k = h + -10. What is the third derivative of 5*w**3 + w**k - 5*w**3 + 3*w**2 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 9*y**4\/4 - 8*y**3 - 15*y**2\/2 + 18*y - 109. Factor b(p).\nAnswer: 3*(p - 3)*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554433?\nAnswer: 3, 11, 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 17*b**2. Let s(z) be the third derivative of z**5\/60 - 4*z**2. Calculate d(s(n)).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*b + 3 - 18*b - 12*b)*(5*b**3 + 2*b**3 - 3*b**3).\nAnswer: 52*b**4 + 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -22 - (-2 + 4 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307188189047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 187, 183, 179, 175, 171?\n\"Answer: -4*t + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 29098*m**3 + m + 4*m - 8*m + 29908*m**3.\nAnswer: 810*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5634)\/1252*32\/18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40453211.\nAnswer: 461, 87751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, 0.2, -4, -23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*((-4650)\/315)\/(-62).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23243*r**4 - 17157*r wrt r.\nAnswer: 278916*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 4, -1, -555 in decreasing order.\nAnswer: 5, 4, 0, -1, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.759 - -22.759. Let c be -4*(0 + 2\/1). Is a less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -7 (b) 563 (c) 2\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 3. Let m be o(0). What is the derivative of -3*a**3 + a**m - a**3 + 6*a**3 - 3 wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)\/(8\/144*-6)*1276\/348?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12566 and 3571319.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 129*u**2 - 2*u + 3. Let d(f) = 386*f**2 - 7*f + 10. Let v(t) = -2*d(t) + 7*r(t). What are the prime factors of v(1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673184.\nAnswer: 2, 3, 48679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 6*g - 5. Let b be 1*(21\/3 - -1). Calculate u(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {t: 2, n: 1, o: 1, h: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x - 5. Let d(m) = -m + 1. Let w(i) = i + 2. Suppose -3*k = 4*f + 31, -5*k = -3*f + 71 - 29. Let r be 0*3\/k - 5. Let l be w(r). Give l*d(v) - n(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/3 - 155*k**4\/3 + 2*k**3\/3 + 310*k**2\/3 - k\/3 - 155\/3 = 0. Calculate k.\nAnswer: -155, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/12 - 7*a**3\/3 + 3*a**2\/2 - a. Let g be k(14). Solve g*n - 10 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 34 + 22 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 772 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21233 - 40?\nAnswer: -21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(24\/324*9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 193*o - 204*o + 441*o.\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290 + -288. Sort 2\/7, a, 2\/17 in descending order.\nAnswer: a, 2\/7, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*j + 4. Suppose j*u - 5*u = 15. Suppose -u*k + 7 = -2, 2*a + 2*k = 84. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 326, 6478, 1 in descending order.\nAnswer: 6478, 326, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/3 - n**4 + 4*n**3\/3 = 0. Calculate n.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2302 divide 450895023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23933 + 23933.2. Let j = -17 + 10. Let v = j - -4. What is the closest to p in -2, v, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 12258 = 54244. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 20.830589?\nAnswer: -24.830589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + v + 50807*v**2 + 288*v**3 - 25402*v**2 - 25405*v**2.\nAnswer: 288*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 + 467*n - 588. Let o be g(-118). Which is the fifth biggest value? (a) 1\/4 (b) 2\/75 (c) -0.05 (d) 1.5 (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*a - 5*y - 121, -20*a + 29*y - 35*y - 15 = -11*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -48*h**3 + 3*h**2 + h - 5. Let v(u) = -49*u**3 + 4*u**2 + u - 6. Let s(c) = -5*g(c) + 4*v(c). What is the remainder when s(1) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-40) + 1\/(-5)*-6. Solve a = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33133335 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*m + 3*h, -h - 16 = 3*m + 3*h. Solve 8 = -m*t + 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 917211742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 0.3 (c) -5388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.1. Let h be 3*(-1)\/(-3)*(0 - 1). Which is the biggest value? (a) -4 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 655623397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -n + 12*u, -65 + 11 = -5*n + u for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.7 - -15.6. Let n = k + -51. What is the fourth smallest value in n, 2, -3\/5, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, 1 z, and 1 a when four letters picked without replacement from {g: 3, t: 1, q: 3, z: 5, a: 5, p: 1}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.10546 + 0.80546. Which is the fourth smallest value? (a) 0.5 (b) f (c) -3\/13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/40*(-5)\/2. Let o be (2 - (h - 3)) + 0. Solve -26 = b - 5*j, 5 = b + 4*b + o*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, and 1 r when three letters picked without replacement from {u: 1, r: 1, t: 1, q: 1, e: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -1\/3*t**3 + 2*t**2 + 0 - 2*t - 1\/6*t**4. Solve x(q) = 0 for q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 2 = -10*w. Find the second derivative of -3*n**2 + 9*n**w - 12*n**2 + 40*n**2 + 4*n wrt n.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -291, -294?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -416.5 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 - 3 - 25)*(-5*u + 5*u + 5*u**3)*(4 + 0 - 6).\nAnswer: 930*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1078)\/(-55))\/(-14)*-1*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + 2. Suppose -2*g + f = -g. Suppose -u - g = -6*u. List 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 -1482525.48 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-270)\/18)\/150 + 3551\/10. Solve -2*j = -b*u + 358*u - 21, -u - 10 = -5*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -8305610?\nAnswer: 8305607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5316 divided by 5316\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8534 - -9334. What is the remainder when q is divided by 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/52794 and -61\/36294618?\nAnswer: 762186978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 1, j: 1, x: 1, v: 1, l: 2}. What is prob of sequence jrr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48 - (-2)\/1*1. Suppose -g = -5*x - 0*x. What are the prime factors of (x - -1)*1 - 1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1815 + -660. Suppose -5*x + 0*x = -o. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5\/7 - 30*t**4\/7 + 146*t**3\/7 - 258*t**2\/7 + 20*t = 0.\nAnswer: 0, 1, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 3, -0.05, -54 in increasing order.\nAnswer: -54, -0.05, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m - 63. Give p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15122*q**3 - 146*q**2 + 20*q?\nAnswer: 90732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-21) - (-765)\/21. Suppose 0 = c - b + 42, c = -0*c - b - m. Let s = c - -26. Does s = -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -465, -460, -455?\n\"Answer: 5*k - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.527988 from -961.1.\nAnswer: -961.627988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 73*n**3 + n + n - 62*n**3 + 122*n**3 to the form l*n + h*n**3 + y*n**2 + z and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i. Suppose -3*p + 374 + 124 = 0. Suppose -15*y = -p + 121. What is the smallest common multiple of y and m(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 4*f**2 - 6*f - 2. Suppose -2 = h + 3. Calculate u(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53097960869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 3*w**2 - 5*w**2 + 2*w**2 + 2*w**2 + (-w - 4*w + 3*w)*(2*w - 3*w + 2*w) - 16*w**2 - w**2 + 6*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:02 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5527 + -5520. Solve 5*c + 3*t - 40 = 0, -40 = -3*c - w*t + 2*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*f = -2*f + 40, -f + 1 = k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*s + 0*s**3 + 2*s**2 - 4*s**4 - s**4 - s**3 - 28*s in the form j*s**2 + t*s**4 + m + c*s + a*s**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.028\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10360 equal to -10292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6.08 (b) 0.5 (c) -2 (d) 0.2 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 50, 79, 110, 143, 178?\n\"Answer: f**2 + 24*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/44 - ((-909)\/396)\/(-1)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 34 = 34. Is y greater than or equal to -3\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {k: 5, a: 6, z: 2, c: 1, v: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 11. Let j(i) = 2. Let y(f) = 11*j(f) - 2*m(f). Let k be y(-2). Suppose 0 = -h + k*h - 33. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.098 + -920.902. Is p >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 282*m**6 + 26*m**4 + 17340*m**2 - 2*m wrt m.\nAnswer: 33840*m**3 + 624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(832) - sqrt(832))**2 + sqrt(13) + sqrt(39)\/(sqrt(3)*-3 - sqrt(3)).\nAnswer: 3*sqrt(13)\/4 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/15*2\/(-28)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 10*b = 0. Let w(f) = -f**2 + 4*f - 79. Let q(c) = 3*c**2 - 11*c + 237. Let s(n) = 3*q(n) + 8*w(n). What are the prime factors of s(b)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 7. Let l(o) = o - 3. Let v = -135 - -138. What is v*c(x) + 7*l(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -77*g**4 + 620*g**3\/3 - 4*g**2 + 1445. Factor s(c).\nAnswer: -4*c*(c - 2)*(77*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95.2 + 2.2. Let c = b + 93.226. Round c to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**4*u**(-3\/2)\/u)\/(u**7*u**1))\/(((u\/u**(-8))\/u*u)\/u*u**(-2))**(-45) assuming u is positive.\nAnswer: u**(513\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*f - 10 = 0, 0*a - 2 = -5*a + 4*f. Let t be (280\/50)\/(a\/(-5)). Solve 2 + t = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*b**4 - 7*b**4 + 7*b**4 - 5*b**4 + 0*b**4 + 7*b**4 + (2*b - 2*b + b**3)*(2*b - 3*b + 3*b).\nAnswer: 65*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/13019784 and -77\/156.\nAnswer: 169257192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -62. Suppose -n = z - 9. Sort 4, z, -1, -5.\nAnswer: -5, -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from gngnngtggtngt?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:49 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 4. Let f(n) = -n**2 - n + 4. Let u be f(0). What is q(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.66? (a) 2\/37 (b) -0.035 (c) 0.5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*k**3*p + 316*a**2*k*p**3 - 2*a*k**3 - a*p**3 + 68*k**3 - 2*p**3 wrt a.\nAnswer: 2*k**3*p + 632*k*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3105, 3141, 3177, 3213, 3249?\nAnswer: 3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/468724 and 103\/9567484.\nAnswer: 162647228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 12001000203?\nAnswer: -12001000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, i: 4, o: 3, p: 6}. What is prob of picking 4 i?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 51 = 41. Let h = -0.1 + 0.11. Let t = -0.29 - h. What is the third biggest value in l, 4, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622*s + 77334 = 628*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -2, 12.5, -0.6, -0.06, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1200 - -3377. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13135919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 16 - 46 = 0. Let g be -3*a\/18*2. Suppose -4*u = -g*j - 35, -15 = 4*j + j. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {o: 1, a: 4, m: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 9 - 17 - 10*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 56. Let s = -66 - -121. Suppose -o = -d - s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 7. Let s = -7 + 10. Suppose s*i = 3 + 63. Calculate the remainder when i is divided by g(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 greater than 4.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1044473*l**4 - 931*l**2 - 46*l?\nAnswer: -25067352*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -684458 > -684433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/15 + 100*v**4 + 60000*v**3 - 169*v**2. Let j(i) = 0. Calculate i.\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m = 63 - 9. Sort -6, 5, -1, m, 29 in ascending order.\nAnswer: -6, -1, m, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = -39*m + 13*m. Let p = 3 + -2. What is the hundreds digit of -3 + ((-9)\/p)\/(1\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -6294087?\nAnswer: -6294084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 1. Let l(j) = 5 + 3*j + 6*j + 6*j - 7*j. What is -2*l(p) - 9*x(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (70 - 1))*988\/2964.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/3 + (5 - 5). Suppose -3*y - 3*f = 0, -j*y + 21 = f - 4*f. Suppose 5*s = -15, -5*s - 599 = -y*i + 457. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-3) - 208\/(-39) - 2\/(-1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -19*a. Let n be p(1). Let m = 24 + n. Sort 4, 2, m in ascending order.\nAnswer: 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 990 = -3*g, -g + 2*g - 5*p = 342. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14676.646 + 14676. What is p rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/4 - 89*c**2 + 7469*c\/4 - 4794 = 0.\nAnswer: -376, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 5. Let o be x(7). Calculate the remainder when (-2082)\/(-14) - (-1)\/(-7)*o is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*w + 24, 2*w = 5*h + 5*w + 208. Let d = h + 49. Suppose 86 = -x + 4*x + d*i, 0 = -5*x + i + 106. Is 20 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 - 2*d**2)*(43*d + 42*d - 88*d - 4*d**2).\nAnswer: 8*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 0.15529?\nAnswer: 0.15529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 144.5 and -0.33?\nAnswer: -47.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 4, 3*c + 4*b - 8 = 0. Solve -5*h - 3*a + 30 = 0, -4*a = -4*h - 0*h - c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*f = 6, 26 = 3*q - 0*f - 5*f. Let b(j) be the first derivative of 0*j - 3 - 1\/2*j**q. Let m(d) = -3*d. Determine b(m(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**4\/3 + 139426*w**3 + 19439748900*w**2 + 903501208788750*w + 2710328672390625 = 0.\nAnswer: -139425, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 33 + 8*b - 2*b**2 + 10 + 23*b + b**2. What is the remainder when 184 is divided by j(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 43*x**2. Let z be g(-43). Let n = -576 - -4022\/7. Which is the second smallest value? (a) 2 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2. Let f(u) = 2*u**2 - 420*u + 1057. Calculate f(m(j)).\nAnswer: 8*j**4 - 840*j**2 + 1057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -c + 2336, -2*a + 0*c - 5*c + 1150 = 0. Let p be 3\/(-12) + a\/20. Calculate the greatest common divisor of 261 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3784 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**5 - 216588*v**4 - 34711206*v**3 - 1423494024*v**2 - 2743720797*v - 1354721388 = 0?\nAnswer: -79, -1, 72356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -241.4 and -4.67177.\nAnswer: -246.07177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367767 = 94*l - 1127209. Calculate the highest common divisor of 32 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*o + 2*o + 18, -2 = -o - 5*w. Let b = o + -4. Suppose -8 + b = j. Put j, 1, 0 in ascending order.\nAnswer: j, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d**2 + 13*d**2 - 30*d**2 + 6*d**2.\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(42)\/sqrt(2)*4 + sqrt(567)\/sqrt(3)))\/((sqrt(84)*-6)\/(((sqrt(3)*-1 - sqrt(3)) + sqrt(3))*2)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:10 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/5)\/c)**(-46)*c**(-24)\/c**23 assuming c is positive.\nAnswer: c**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/9)\/c*c*c*c)\/c**4)\/(c**(-6)*c\/(c*c**(-5)\/c)))**23 assuming c is positive.\nAnswer: c**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87573823.\nAnswer: 29, 3019787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*l = -64, -2*l + 0 = -4*g - 8. Let c be 59\/(-4) + 1\/(-4). Put 1\/5, c, g, -2 in descending order.\nAnswer: g, 1\/5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)*y*y\/(((y*y*y**(-2)*y)\/y)\/y))\/(y**4*y\/(y\/(y*(y\/y**(1\/5)*y)\/y*y*y)*y)))\/(y**5*y*y*y**(-3))**12 assuming y is positive.\nAnswer: y**(-259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -999 + 996. Sort w, 4\/7, -5, 0, -2\/3.\nAnswer: -5, w, -2\/3, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 7*n = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 39. What is the closest to o in 5, 2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 2661, 3, -2 in descending order.\nAnswer: 2661, 6, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 23, 20, 15, 8, -1?\n\"Answer: -g**2 + 2*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*q**2\/7 + 2787592*q\/7 - 929196\/7.\nAnswer: -4*(q - 232299)*(3*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0952759 centuries to decades.\nAnswer: 0.952759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20*(75\/30 + -5). Calculate the greatest common factor of 1775 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-3 - -116)*-2. Let p = w - 2024\/9. Suppose 2*x + 2 = -4*h, -18 = 3*h - 5*x + 3. Is p less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30951 and 62\/9?\nAnswer: 30951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -497005996*d**4\/5 - 1348697980436*d**3\/5 - 1219512743678016*d**2\/5 - 367024372755250176*d\/5 + 368245234693914624\/5 = 0. Calculate d.\nAnswer: -451536\/499, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 971 + -959. Calculate the highest common divisor of q and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.92 + -0.42. Let h = 1 - -20. Suppose -5*t + h = 6. What is the third biggest value in f, 6, t, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lslszskzzssszlz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/220)\/((-5)\/28)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4087 - 4103 = i + 4*y, -i = -5*y - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1959016 rounded to three decimal places?\nAnswer: -19.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 - 6)*(-3*m**3 - 3 + 3 + (-m**2 + 0*m + 0*m)*(m - 2*m + 2*m)) to the form j + o*m**3 + l*m**2 + f*m and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -83*r + 344. Give y(7).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.95 + -94. Let k = -0.05 - j. Let w = -415\/8 - -52. Which is the nearest to 1\/4? (a) 3 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 6:50 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/12 - 18909\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -263*j**4\/4 + 115*j + 176. What is the first derivative of m(u) wrt u?\nAnswer: -789*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q**3 + 6*q**2 + 6. Let l be -1*2\/10 + (-310)\/(-50). Let i(m) = -7*m**2 - 1 + 20*m**2 + 14 + 19*m**3. Calculate l*i(x) - 13*u(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10, -282*h + 229149 = -277*h - 3*a. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.332931 millimeters to micrometers.\nAnswer: 1332.931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 5*t + 6. Suppose o = -2*o + 6. Let w be (1 - 2)\/(o\/10). Give s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/27301 and -33\/173302.\nAnswer: 3985946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.96 - -0.04. Suppose -3*t + 34 = 1. Let k = -16 + t. What is the closest to 0.3 in o, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 829935 by -165987.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 31*l**3 + 222*l**2 - 320*l - 512.\nAnswer: (l - 2)*(l + 1)*(l + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 29. Let b(x) be the second derivative of 7*x**5\/20 - x**4\/12 + 2*x**3\/3 - x**2\/2 - 2*x. Is b(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0006 - 0.1994. Suppose 2*q - 4*k = -2*q - 28, 0 = -2*q - 3*k - 9. Let r be (-9)\/(-135)*q\/(-4). Put g, r, 1 in decreasing order.\nAnswer: 1, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 26*z**3\/3 - 16*z + 57. Let m be (3\/(-6))\/((-2)\/(-64)). Let g(s) = -5*s**2 + 3. What is m*g(d) - 3*r(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 12*o - 60 + 22*o - 10*o.\nAnswer: -o**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*m**3*v**2 + 21*m**3*v + 14*v**5 + 5*v wrt v.\nAnswer: -46*m**3 + 280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -5, 0, 5\/3.\nAnswer: -5, -6\/7, 0, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-4) + 312\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2463734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4335 + -2277. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*u + 208*u + 3*r = -221*u + 17, 5*u - 2*r = 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 14323. Let x(b) = 3*b**2 + 86*b. What is x(d(w))?\nAnswer: 3*w**2 + 86024*w + 616676765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*s**2 - 804*s**3 + 9 - 11 - 368*s**2.\nAnswer: -804*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.7 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 746686?\nAnswer: 2, 373343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 12. Let w = -5 + 10. Suppose 7 = 2*a - 3*a - w*c, -5*a - x*c = -53. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2571682 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -467 + 3735\/8. Let d be ((-4)\/20)\/((-8)\/(-10)). Suppose 2*u - 11 + 3 = 0. What is the fourth smallest value in 4\/3, u, d, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. What is the units digit of b\/12 - 30\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*y**4 - 49*y**3 + y**2 + 463 wrt y?\nAnswer: -12*y**3 - 147*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 4 + 5*r**3 + 12.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 2. Let y = -3 + 7. Suppose 0 = -j + y*j - 5*c - 12, 3*c + 8 = j. Give d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(9 - 9 + 4*b) + (4 - 2 - 3)*(2*b + 0*b + 0*b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -12. Let y(o) = 11*o**2 - o - 2. What is the remainder when y(2) is divided by 15\/u*(-56)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*r = -616*r + 14578 - 40554 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 319\/123 - 4589\/1722. Let j = -19 + 29. Let r be (-4)\/j - (-38)\/45. Which is the third biggest value? (a) -3\/2 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/410279 and 101\/4102790.\nAnswer: 4102790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23501 + 25310?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2378318.1 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 = -4*f. Let s = 2 - f. Suppose 3*g = 5*a + 91, 0 = -s*g + g + 3*a - 7. Calculate the lowest common multiple of g and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1446414728?\nAnswer: 2, 11, 41, 503, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 5*b - 4. Let g be h(4). Let z(c) = -c**3 - 10*c**2 - 10*c - 8. Let t be z(-9). Is g greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -350293\/30 + 11674. Find the common denominator of 119\/24 and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/((-5)\/15). Let a(i) = -31 + 31 - 6*i**u. Let j(c) = c**2. Give j(a(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-6 - -3))*3. Let m be (y - 1540008) + (-2)\/2. What is m rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3273*-7801.\nAnswer: 25532673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Let u = 0.13 - 0.83. Let v = -4.3 + u. What is the nearest to 1 in h, v, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**2\/3 + 11414960*s\/3 - 11414956\/3 = 0?\nAnswer: 1, 2853739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4908125 days in milliseconds?\nAnswer: 42406200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + -1 + sqrt(700) + 1 + sqrt(700)) + (sqrt(70) - (sqrt(70)*-1*3 - sqrt(70) - sqrt(70)) - sqrt(70))\/(sqrt(250)*2 + sqrt(250)))**2.\nAnswer: 1086*sqrt(7) + 230056\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3120 and 975.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 less than -4460503?\nAnswer: -4460503.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348830 and 1910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 - (-40 + 14))) + -26.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.147 - 1.713. Let f = -5.54 + a. What is f rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-4) - 12\/8. Sort z, -1, 4 in descending order.\nAnswer: 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103953*a**3 + 52085*a**3 - 46*a**2 + 46*a**2 + 51869*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6959 - 1.93045976.\nAnswer: -0.23455976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 - (25 - (22 - 8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 238619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 10. Let l be (1 - (x + 3)) + -14. Let i = -7 - l. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2736) + 3.\nAnswer: 3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1012 and 310112?\nAnswer: 7132576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2\/9 (c) 25.5 (d) 0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-49) - 108\/14. Let h = n - -5. Let l = -3 - -3. Which is the closest to l? (a) h (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285852776 is divided by 95284257.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 2 + (2 + 0 - 3)*(-1 + 2 + 0))*(-5*x**4 - 5*x + 4*x + 3*x**4).\nAnswer: 14*x**4 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9095 - -0.1195. Let z = 0.21 - t. Let u = -11 + z. What is the smallest value in u, -0.02, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.975 + 12?\nAnswer: -48.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 25 - 97. Suppose -25*d = 208 - 1158. Let u = y + d. What is the fourth biggest value in -5, -2\/5, 1\/6, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00244493 rounded to 6 dps?\nAnswer: 0.002445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 554 (base 10) to base 14\nAnswer: 2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2268*p**3 + 4582*p**3 - 2292*p**3.\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2691 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - ((-1 - 2) + 0). Let p be (-455)\/468 + b\/(-4). What is the third biggest value in 2\/15, p, -4, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 - 12*t - 5. What is the tens digit of q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286388 a multiple of 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5 (b) -1\/5 (c) -67\/6 (d) 1\/5 (e) 16\/7 (f) 0.159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujl when three letters picked without replacement from ljulnnjulnulju.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubuu when four letters picked without replacement from {b: 2, u: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15))\/((-8)\/40)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 123*a. Let m(j) = 28 + 20 - 72 + 24 + 2*j. Give z(m(g)).\nAnswer: 246*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11206240*c**2 - 4859312*c wrt c?\nAnswer: -22412480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - y = 183227 - 183297, -3*y + 49 = -2*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 20, 5.\nAnswer: -1, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 - 5)*(-7 + 1 + 4) + 3 - 3 + 9)*(-q + 1 - 1) to x*q + o and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2715 (base 11) in base 5?\nAnswer: 103100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - d + 1. Let b(f) = -8*f**2 - 9*f + 9. What is 4*b(q) - 36*z(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2. Let o(h) = 10*h**2 + 2502*h - 2502*h. What is g(o(v))?\nAnswer: 200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/12)\/(306\/544)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010169803611 to 7 dps.\nAnswer: 0.0101698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1017, 2180, 4237, 7188?\n\"Answer: 447*d**2 - 178*d + 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 10*k**2 - k + 13. Let j(z) = 18*z + 172. Let t be j(-9). Determine w(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339 by 12645.\nAnswer: 113\/4215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5317\/1815 - -186\/121. What is the common denominator of x and 491\/90 + 6\/(-27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45 - -5db9?\nAnswer: 5e0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5354*d**4 - 7993 wrt d?\nAnswer: 21416*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/1709, -0.4, 2 in ascending order.\nAnswer: -0.4, -1\/1709, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-8)\/(-168)*-3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-11)*4598\/2508\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1160\/15*(0 - 135\/(-20)). Suppose i = 5*k + 198, -3*k + d = 4*i - 247. Let w(y) = -5*y + 4. What is the remainder when i is divided by w(-7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 + -49. Suppose 9 - n = 9*i. Is i less than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(204\/18)\/((-1)\/3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(-1)*(947\/7576)\/((-4)\/(33 + -1))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66660 and 726?\nAnswer: 733260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 5*b + 1. Let i be d(-4). What is the second derivative of -5*p + i*p**3 + p - 9*p**3 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.86214 rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132141\/2470 - -2\/1235. Let h = x + -53. Factor -h + p**2 + 7\/4*p.\nAnswer: (p + 2)*(4*p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 + 55. Give u(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 15*c + 29. Let v be u(13). Calculate the highest common divisor of v and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 60*r + 2874. Calculate p(-49).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 19. Suppose 0 = n - f. Sort n, -4, 0.1.\nAnswer: -4, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t + 2 + 0*t**3 - 1\/6*t**4 + 0*t**2. Let f(m) be the first derivative of o(m). Let c(w) = -5*w. Calculate f(c(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 b when three letters picked without replacement from nnncbbsbcnsccnesco?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*28\/1. Let a = r + -9. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-9))\/(g**(2\/23)\/g)*g**(2\/25)*(g**4\/g)\/g)**(-16) assuming g is positive.\nAnswer: g**(-119536\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 79 + 81. Suppose 3*r - 1 = u. Suppose -36 = -12*s + r*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -43, -161, -389, -763, -1319?\n\"Answer: -6*j**3 - j**2 + j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2. Let k(l) = -4. Let s(w) = 1. Suppose 0*o - o - 12 = 0. Let a(g) = o*s(g) - 4*k(g). Calculate a(c) - 2*x(c).\nAnswer: -2*c**3 + 2*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 24, 27, 12, -27?\n\"Answer: -c**3 + 22*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 178*l**3 + 54656*l**2 + 7*l - 72755991 wrt l.\nAnswer: -12*l**2 + 1068*l + 109312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*l = 528*l - 922*l - 13806 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 - 2*g - 1. Let u be t(-1). Let x = 5 - 5. Let i(l) = l**3 + l + 15. Let p be i(x). Solve u - p = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 - (-3 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573620317 to the power of 1\/2, to the nearest integer?\nAnswer: 39669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 268*k**3\/7 - 32420*k**2\/7 + 34472*k + 7232\/7 = 0.\nAnswer: -2\/67, 8, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212643279520 - -212647334982.99934. Let a = 4055539 - o. Let u = 76 - a. What is u rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288847508 to the power of 1\/2, to the nearest integer?\nAnswer: 35901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/22 (b) 0.06 (c) 1 (d) -3\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0760033 to 4 decimal places.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 18*t**2 - 18*t - 13. Let u be o(-17). Solve -r + 10 = u*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/290 + 1446615\/(-15921)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4289905 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f - 20110 + 880 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 6*o**3 - 3*o**3 + 8*o**3 - 3*o to the form u + n*o**3 + h*o + i*o**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171907 = 2*q - 448093. What is q rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/((-93)\/(-372)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0763425 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330708 less than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 1, 5, 11, 19?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/7973 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 1072, 1610, 2148, 2686, 3224?\nAnswer: 3762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-10 - -1) + (12 - 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96525.\nAnswer: 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -3, -2, 0, -2402042, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 + 157*n\/3 + 515\/2.\nAnswer: (n + 5)*(n + 309)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 1, t: 2, w: 5}. Give prob of sequence wtte.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 5*p**4\/24 + 97*p**3\/3 + 2*p**2 - 5*p. Let k be z(-39). Sort 7, k, -19.\nAnswer: -19, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 26*i - 72330. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let s = r - 2. Let m = -1187 - -1188. What is the nearest to m in -4, s, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r**2 + 5*r + 3. Let d(j) = -j**2 + j - 1. Calculate -6*d(l) + k(l).\nAnswer: -3*l**2 - l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 + 3130*i + 2449225 = 0 for i.\nAnswer: -1565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -24*q, 23 = 264187*m - 264192*m + 3*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.5 (c) 49\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/360 + 229*l**5\/180 + 676*l**2. Determine b, given that u(b) = 0.\nAnswer: 0, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/6, 5\/3, -4 in decreasing order.\nAnswer: 5\/3, -1\/6, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdittttiytytitt. Give prob of sequence ytit.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*b + 40, -30 = -2*b + 3*f - 7*f. Find the third derivative of 2*c**5 + c**b - 3*c**2 + c**2 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v + 32 = 74*v - 5*j, -2*v - 5*j - 11 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let v = 368 - 357. Let l(c) = -c**q - v*c - 15*c + 18*c. What is l(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10\/3, 0.5, -4181, -0.08 in ascending order.\nAnswer: -4181, -0.08, 0.5, 3, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -5*j**7\/2268 + j**6\/81 - 4*j**5\/135 - j**4\/2 - 3*j**2\/2 + 2*j - 7. Let t(q) be the third derivative of y(q). Factor t(v).\nAnswer: -2*(5*v - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 4*p - 3*p - 145.\nAnswer: -p - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108020 and 58920?\nAnswer: 648120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128023?\nAnswer: 7, 18289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 14 = -20. Let v(b) = -b. Let a be v(-2). Factor t*k - k**3 - 3*k**3 + a + 2*k**3 + 2.\nAnswer: -2*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31736 - 31732. Which is the closest to 2\/9? (a) -5 (b) -1.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 + j**2 + 4*j**2 + (0*j - j - j)*(0*j - 2*j + 3*j) - 118*j + 44*j + 72*j + 2 + 4823*j**2 to b*j**2 + s*j + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -387, -2\/7, -4, 0.2?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 26*o - o)*((0*o + 0*o - o)*(-44*o + 16*o + 88*o) - 5*o + o**2 + 5*o).\nAnswer: 1416*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 + -36. Suppose -5*m + 72 - 131 = -4*j, -4*m - 23 = -j. Calculate the greatest common divisor of j and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 4 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g + 0*g)*(4 - 2 - 1) + 47 - 47 - 4*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858123170 - 858123170 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33756 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**2 + 13*x - 75. Let n(g) = 2*g. Calculate n(a(d)).\nAnswer: 4*d + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 38*o**3 - 14*o**3 - 22*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27684506 and 0.8.\nAnswer: -22147604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1314, 2566, 3762, 4902, 5986, 7014?\nAnswer: 7986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-14))\/((-126)\/441)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzcbtqttszqttctzqt. Give prob of sequence tq.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3)*h*h*h**(-1\/6)*h*h*h\/((h**1*h)\/h)*(h**(-1\/5)\/h)\/h)**(-33) assuming h is positive.\nAnswer: h**(-979\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*3\/(-6) + 3. Suppose -2*d - d + n = -p, 0 = 2*p - 4*d + 16. Let j(l) = l**2 + 10*l + p*l**2 - 14*l + 0*l**2 - 3. Determine j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 16, 5*h - 91 = -3*m - 4. Factor 5*i**4 + h*i**3 + 5*i - 4*i**3 - 25*i**2 + 4*i**3 + 40*i**4.\nAnswer: 5*i*(i + 1)*(3*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -16*t + 2. What is v(2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4189.44 rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 701250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44638287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 7*d + 12. Let h be y(5). Find p such that 4*p**h - 25*p - 6 + 22*p + 6 - p**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 923754169 by -5466001.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-11) - 10353\/374. Which is smaller: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*g**2*v**3 - 19*g**2*v**2 + 4*g**2*v - 4*g*v**3 wrt v.\nAnswer: 156*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from fdztndttfftdtztff.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*d - 4*d + z, 4*d = -z - 7. Suppose 0 = 4*j + 17 - 5. Let k be ((-1)\/d)\/(j\/(-18)). Solve -k = -0*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107017435 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 3*l, -7 - 1 = 5*l - 4*g. Suppose -3*s + 6 - 3 = l. Solve 5*r - 2*c = -0*c + s, -2*r = -c - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2838 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 - -68) + -57 - 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 24*p + 9*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 563111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 164845\nAnswer: 1\/32969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**3 + o**2 + 7*o**3 + 6*o**3 + 2*o + 3 + 6*o**3 in the form j*o**2 + d + n*o + m*o**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1988 + 40?\nAnswer: -1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -3. Solve b = -i + 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1760, -3134, -4498, -5846, -7172, -8470, -9734?\nAnswer: -10958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3060 and 1224?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.5 (c) -0.4 (d) 165\/32 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 22, -3, 2 in increasing order.\nAnswer: -3, 0, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 + 16*l**2 + 12*l. Give i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 435 - 435.1. What is the closest to m in 1, 0.2, -0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64997 is divided by 250?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9*1381699\nAnswer: 12435291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*w - 26756 = 27358 - 10444 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 202902.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 54 - (-12 + 13) - 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -18*r + 1. Let h(o) = -39*o + 1. Let s(l) = -4*h(l) + 9*u(l). Let z(y) = 5*y - 4. What is -4*s(k) - 5*z(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3125*w**3 - 118037125*w**2 + 1115387875480*w - 14480100972740 = 0 for w.\nAnswer: 13, 471986\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 - 17*b**2 + 61*b + 4651. Calculate s(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/31 (b) -3486 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 946002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1361680 and -57\/953176.\nAnswer: 9531760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39082804 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -1546, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -0.4. Let p = 12 + 12. Suppose -2*h + o + 12 + 1 = 0, 0 = 3*h - 3*o - p. Which is the nearest to -0.1? (a) h (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/19? (a) -2\/13 (b) -1\/2 (c) 0.4 (d) 12.096\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, r: 1, n: 4, q: 2, z: 1, m: 3}. What is prob of picking 1 r, 1 z, and 1 q?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -0*w + 16. Sort 3, -3, w in descending order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*a = -0*a - 2876, -3*n + 2177 = -2*a. Calculate the smallest common multiple of 48 and n.\nAnswer: 11568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 16*d + 40. Let n be t(-20). Let o(q) = 3*q**3 - 33*q**2 + 31*q + 2. Let z be o(1). Which is the smallest value? (a) 0 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(126)\/sqrt(2))\/sqrt(7) - sqrt(9))*3)\/(sqrt(24)\/(sqrt(8) - sqrt(200)) + (4*((sqrt(3) - -2*sqrt(3)) + sqrt(3)) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 40 + 54 = 3*x + 105, 2*x + 3*f = -13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i - 5. Let o = 79 - 78. Let h be s(o). Solve 2*g + h*g - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17814380 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**3\/3 + 5*i**2\/2 - 2*i. Let f be h(-4). Solve 5*t + f = 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -685 <= -6164\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21452\/7 + 3065. Which is the nearest to 20\/11? (a) 1 (b) s (c) -1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156*n - 21*n**3 + 156*n)*(-2*n**2 - 4*n**2 + 3*n**2).\nAnswer: 63*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1407)\/603)\/((-3)\/(-3)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let u(v) be the second derivative of -5*v**3\/2 - 22*v. Calculate u(l(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 + -68 - -26) + (-10 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 170 = -5*i, -3*i + 4*i = -2*v + 78. Suppose -5*f - v = -0*f. Let u(d) = -d**2 - 10*d - 23. Let k be u(-2). Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -300?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.22609s to hours.\nAnswer: 0.014785025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 + -140021140?\nAnswer: -140020240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7386195578 and -2.\nAnswer: -7386195580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 18 = 78. Let b be -2*2\/w*(-5)\/(-18). Sort -1\/4, b, -10\/3, -5 in decreasing order.\nAnswer: b, -1\/4, -10\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*65\/52 - (-1)\/2. Suppose -32*n + 16344 = -p*n. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 1 - 18*b + 4. Let a(o) = 9*o - 3. Suppose 17*q - 9*q - 40 = 0. Determine q*t(u) + 8*a(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 11 + -13 - 24 - 3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/254775 and -119\/18.\nAnswer: 1528650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3996, -3923, -3852, -3783, -3716, -3651?\nAnswer: -3588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.483 and 38.\nAnswer: -550.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.1244 + -0.0556. Let o = 17.4 + h. What is o rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645b (base 12) in base 2?\nAnswer: -111110000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Suppose 2*h + 6 = 0, -5 = s + c*h + 5. Suppose 3*z = -s*p + 30, -3*z + 2*p + 30 = 4*p. Solve -19 = 5*b - 3*k, -b + 4*k - 4 - z = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -243*s + 2263. Determine z(10).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -505409419 or -505409418?\nAnswer: -505409418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21)\/((-280)\/196)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 55. Let s = 18 + d. List the prime factors of 5\/(s\/(-4)) - -24.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - 0. Let w = -11 - o. Which is the third smallest value? (a) 1 (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*t + 256, 5*j = t + 178 + 1080. Let h = -230 + j. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41083.\nAnswer: 7, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41036, 41035, 41034, 41033, 41032, 41031?\n\"Answer: -a + 41037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(272) + -2.\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 5, -4, -35, 3 in ascending order.\nAnswer: -35, -4, 3, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1685 - 1680. Let k(p) be the third derivative of 1\/15*p**x + 0*p - 7*p**2 + 0 + 8\/3*p**3 - 2\/3*p**4. Let k(h) = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - n = 28, -3*v - 25 = -3*n - 46. Let p = -151 - -235. What is the greatest common divisor of p and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 250*5\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d**5 - 2*d**4 - 205*d**3 + 240*d**2 + 14*d wrt d.\nAnswer: -960*d**2 - 48*d - 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5630 is divided by 507?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*p**2 - 266 + 114*p**2 + 266 as j*p**2 + q*p + l and give j.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b - 63. Let n(r) = -60*r - 310. Let p(s) = -2*n(s) + 11*q(s). Calculate p(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*r**3 + 0 - r**2 + r**3 + r**2 + 2*r**3 - r**3 + r**3 + (-3 + 3 - 1)*(0*r**3 - r**3 + 2*r**3) - 8*r**3 - 44*r**3 + 2*r**3.\nAnswer: -50*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - -20. Let b = 81.9938 - i. What is b rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*d - 1140 = 960 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*r + 5*p - 13, -2*r - 4*p = -28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*n + 8, 5*n - n = u + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3\/5 - 219*s**2\/5 = 0. What is s?\nAnswer: 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5047 and 7931?\nAnswer: 55517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 37*d - 2. Let b be y(-12). Is 9 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -15 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3432, -3434, -3436, -3438?\n\"Answer: -2*t - 3430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1165 + 4663\/4. Let o(i) be the second derivative of -3\/2*i**3 + 16*i + 0 - h*i**5 + 0*i**2 + 0*i**4. What is the second derivative of o(c) wrt c?\nAnswer: -90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732 and 43732032?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -1, -3113, -1\/119, -2\/15 in increasing order.\nAnswer: -3113, -1.4, -1, -2\/15, -1\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 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: Calculate -1486641 divided by 34.\nAnswer: -1486641\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.51975 to 1 decimal place.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2304411 - 3?\nAnswer: 2304403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -121*z + 246*z - 127*z. Let o(k) be the first derivative of -2*k**2 + 4. Calculate o(w(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 2*c + c + c**4 - 3*c**3 - 4*c - c**2.\nAnswer: c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, -282 in descending order.\nAnswer: 4, -2, -3, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 2*p + 2. Let q be f(2). Let r be 16\/9 + q\/9. Let x = -2270 - -2268. Which is the smallest value? (a) x (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-11 - -1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 - -37.84. Let r = j - 4. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75840 - 28541. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - f**2 - f + 3. Let o be (-2 + 21\/9)*0. Suppose o = q - 6*q. Let b be j(q). Solve b*c + 2 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6326751 or 6326752?\nAnswer: 6326751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -34*d + 38. Let w be n(1). Which is the nearest to -0.2? (a) 24 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.328 times -0.001053?\nAnswer: 0.000345384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*b = 60*b - 492 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -479*q**2*u**2 - 7*q**2*u + 153743*q**2 + 22578*q*u**2 - q - 5*u wrt u?\nAnswer: -958*q**2 + 45156*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*m**4 - 5*m**3 + 311*m + 73578 wrt m?\nAnswer: 36*m**3 - 15*m**2 + 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 8 - (51 + -2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -60\/791?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/5)\/(v*v*(v**(2\/5)\/v)\/v*v)*(v\/(v*v*(v\/(((v*v*v**(-2\/5)*v)\/v)\/v))\/v))**(-16\/7) assuming v is positive.\nAnswer: v**(-31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.1 (b) 2\/11 (c) -2\/45 (d) -2\/15 (e) -0.02196 (f) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5350 is divided by 2666.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*y**4 - 17*m*y**2 - 3*m - 35 with respect to y.\nAnswer: -8*m*y**3 - 34*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/85*(-10)\/(-261). Let v = t + 130\/957. What is the closest to -0.1 in 2, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 + -126 - (-102)\/20\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/(d*d**0))**44\/((d**(-1\/3)\/d**(-2\/5))\/(d**(-1\/3)*d*d**(-1\/11))) assuming d is positive.\nAnswer: d**(-14492\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -1 (c) 7.42 (d) 2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 3*d, 0 = -5*n + 3*d. Let v be (n\/4 + -1)*-5. Suppose 0 = 5*c, 4*g - 10 + 2 = v*c. What is the greatest common divisor of 22 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 8:58 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49.72991 centuries?\nAnswer: 4972.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - -7.8. Let y(o) = -o**3 + 4*o**2 + 6*o + 5. Let j be y(5). Suppose 3*r = -5*d + j, -2*r + 0 = -d + 2. What is the smallest value in 0, d, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 + 10 = 0. Suppose 58 = 3*v + 5*b, 0*b = -4*v - t*b + 64. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*s - s + 1, 0 = -4*s + o + 17. Suppose 8*f - s*f - 32 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0155 - 0.07.\nAnswer: -0.0545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274, -2276, -2280, -2286, -2294, -2304, -2316?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.125 - 0.625. Let l = 1.3 + 3.7. Let m = 0.1 - 0. What is the smallest value in l, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -51, 20.437?\nAnswer: 20.437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -4. What is the least common multiple of j and 88\/10*5\/2?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, q: 1, z: 4, j: 6, v: 2}. Give prob of sequence jqz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 - y + 1. Let v = 19 - 24. Let k = v - -11. Give n(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-360))\/((-30)\/(-540)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*n + 187736, 115*q - n - 112643 = 112*q. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/65 and -18\/3878147.\nAnswer: 19390735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + -1. Suppose -31*o - 1124 - 209 = 0. Let f = z - o. Solve p + p = 2*m + 10, -2*p = -3*m - f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -46 (b) -3 (c) -1\/17 (d) -3\/4 (e) -187 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -0.2 (c) 0.4 (d) -2\/7 (e) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 49*v**2 - v + 44. Calculate the smallest common multiple of 10 and k(-9).\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -4600001*f**4\/24 - f**3\/6 - 10*f**2. Let r be i(-1). What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-26))\/(-2) + -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239325071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1002 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 3*w**2 + w + 2. Let u(i) = -i**3 - 3*i**2 + 10*i + 3. Let b(y) = y**3 + 2*y**2 - 7*y - 1. Let z be b(-4). Let k be u(z). Determine c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/14 - (-2)\/(-7). Which is the nearest to r? (a) 2\/5 (b) -0.3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 21*b**2 - 10*b - 9. Let j(p) = 63*p**2 - 31*p - 27. Let l(x) = 2*j(x) - 7*z(x). Let v(f) = 5*f**2 - 2*f - 2. Calculate -2*l(k) - 9*v(k).\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2))\/x**(1\/12)*((x*x\/x**(-2\/5)*x)\/x)**38 assuming x is positive.\nAnswer: x**(5647\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*v - 120, -2*v - 1447 + 912 = 25*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 13*g**2 + 9*g - 13. Let n be u(6). Suppose 5*l - 376 = -2*t, -940 = -n*t - 0*l + 3*l. Is 25 a factor of 3\/(3\/t*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1738.\nAnswer: 2\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*t - 8, 5*q = -265*t + 262*t + 6. Let v(h) = -h**3 + 6*h**2 - 14. Determine v(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*u + 2, 0 = 2*o - 0*u + u - 10. Find the first derivative of 1 + 7 - 2 - o*c + 13*c wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*(-3 + 84\/7). Let g be k\/(-4)*2*7\/3. Sort 2, 4, g in decreasing order.\nAnswer: g, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = -3*c - 0, 0 = -4*i - 2*c - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p + p**3 + 1 - 3*p + 1 + 4*p**2. Give g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmljt. What is prob of picking 1 m and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 2*c - 2, -14 = -5*n - c. Solve 3 = n*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.1543 + -0.0543. Let y = v - -6.9. Let m = y + -50.2. Round m to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.07, 11, -3, -518 in increasing order.\nAnswer: -518, -3, 0.07, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4))\/sqrt(12))\/((sqrt(10) - sqrt(160))\/sqrt(5)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 8*o**2 - 7*o. Let s(f) = 3*f - 1. Let j be s(-2). Let q be w(j). Suppose q*z + 2*z = 8. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*(-3 - 81). Let q = b - 24. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38599, -77199, -115799, -154399, -192999?\nAnswer: -231599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = 14. Suppose 2*u - 15 - 1 = t*m, 2 = -2*m. What is the highest common factor of u and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 - 6*x - 7. Let y be k(-2). Let a = -4 - y. Suppose -a*z = w - 78, 0 = -3*z - 0*z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.33, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8*w - 10. Suppose 10*x - 1 + 1 = 0. Solve 3*n + 1 = 2*c, x*c + 3*c + w*n = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*w**3 + 20131410*w**2 - 186856419*w wrt w.\nAnswer: 36*w + 40262820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -178.\nAnswer: 48\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100104 + 100103.36069. What is k rounded to 2 dps?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 14*f**2 - f + 9. Let w be -1 + -3*(-5)\/1. Let v be a(w). Is -11\/3 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 34816 = 3*a + 24834, 0 = a + 4. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/205)\/((-2)\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 + 87 = -5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 599 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -1.5.\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let i(c) = 4048*c**2 - 5*c - 25. Let b(h) = 6072*h**2 - 8*h - 40. Let k(l) = 5*b(l) - 8*i(l). Calculate k(j(s)).\nAnswer: -8096*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1242*y**4 + 328413*y**3 - 465234*y**2 + 134907*y + 3156 = 0 for y.\nAnswer: -1\/46, 4\/9, 1, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 24*s. Let c(w) = -5*w**2 + 2*w. Let l(r) = 18*r**2 - 9*r. Let z(j) = 9*c(j) + 2*l(j). Calculate o(z(a)).\nAnswer: -216*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527 + 201 = 4*c. Calculate the common denominator of 470\/c - (-10)\/(-65) and 22\/4 - (-2)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -20*m + 78. Let x(d) = -7*d + 26. Let q(v) = 4*f(v) - 11*x(v). Let j be q(6). Calculate the greatest common factor of j and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**6*v - 28*p**5*v**2 + 2*p**2*v**2 - 2*p**2 - 61*p wrt p?\nAnswer: -720*p**3*v - 1680*p**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 18. Solve q + 3 = -x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 + r + 1. List the prime factors of o(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*9292\/(-7575) + (5\/3 - 2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = -29*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110642?\nAnswer: 2, 7, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4732 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-2*n - n + n) + (-n + 0*n + 2*n)*(-4 - 2 + 5) + 3*n + 0 + 0 - 5*n - 7*n - 10*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 + 4.66.\nAnswer: -189.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -977061 + 1602061. What is o rounded to the nearest ten thousand?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 - 195*c**4 + 220*c**3 + 780*c**2 - 800*c = 0 for c.\nAnswer: -40, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 15 - 38 = 2*q - 16*t, q + 12 = 5*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:50 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 take away -173?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37566?\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let p(z) be the third derivative of -65*z**4\/24 + z**3\/6 - 6*z**2. Is p(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -914657.7.\nAnswer: 10975892.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((5 + sqrt(180)*1 - -6*(sqrt(180) + 1)) + 4 + 2)*4)**2.\nAnswer: 22848*sqrt(5) + 145742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 4, r: 2, y: 1, o: 1}. Give prob of picking 1 i, 1 o, and 2 g.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46388796 is divided by 2936.\nAnswer: 2932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) + (4 + 1 - 4). Let r(g) = g**3 + 5*g**2 + g - 9. Let y be r(-4). Let o be 1 + -2 + 0 + -1. Which is the biggest value? (a) o (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**4\/6 - 13*a**3\/6 + 7*a**2. Let r(d) = 2*d + 6. Give -9*r(j) - 4*v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(-1 + -2 + (-102)\/(-30)). Suppose -v*d + 756 = 8*d. Put -5, -2, d in ascending order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 523\/15 + -517\/15. What is the closest to -3\/10 in 7.2, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5880)\/(-32))\/(-49)*12.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from aaajnnaanan.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.31 - -0.3112. Round a to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s + 3 + s**3 - 5*s**3 - 70*s**3.\nAnswer: -74*s**3 + 11*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14342158 or 14342160?\nAnswer: 14342160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 5, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 66018391758.\nAnswer: 66018391753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.082 + 9.782. Is x equal to 3\/217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(385\/605) - (-41)\/(-5) - 474\/5?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 114\/133 + 5*3\/(-15). Let q = -0.12 + 0.05. Which is the closest to 1? (a) w (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 11:20 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-22 + -7 - -21) - (11 - (0 - -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/45 and 8\/165.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -919\/8 + 115. Let k = 0.11 - 44.11. Let p = k + 43. Which is the third biggest value? (a) 0 (b) s (c) p (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24771136 divided by -247.\nAnswer: -100288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -635?\nAnswer: -8890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 237177617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48074 + -15297.\nAnswer: -63371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10151 divided by -540?\nAnswer: -10151\/540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 4*s, 47*u - 6 = 42*u - 3*s. Suppose -4*v = 4, u*v - 4*v = 4*q + 28284. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -6\/5, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 16 - 27. Suppose 5*s - 216 = -v. Let r(w) = -3 + 3 + 48*w - s*w. Let l(u) = -u. Determine r(l(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7*n - 8*n + 4 = 0, 3*n - 9 = 2*a. Sort a, 4, -10\/23, -3\/7 in increasing order.\nAnswer: a, -10\/23, -3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*y + 3*d, 13*d = 4*y + 14*d - 2. What is the lowest common multiple of ((-8)\/(-20))\/(y\/5) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/2*s**2 + 4*s = 0. What is s?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - z**2 - 1. Let k(h) = -65*h**4 + 3*h**3 + 148*h**2 + 1. Let s(f) = -a(f) - k(f). Find the third derivative of s(x) wrt x.\nAnswer: 1560*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18809*m = 18597*m + 10176 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12 - -17) + 11 - (11 - -4 - 8)) + 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g - 8. Suppose c + 3*j - 2 = 0, -3*c = -4*j - 0 - 19. Let u(m) = -m + 1. Determine c*u(w) + x(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.27633 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 5429 and 21711\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*t + 11, -3*t = d - 7*t + 2. List the prime factors of 9512\/12 + d\/(-15) + 2.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/(2 - 24\/16). Put -76, t, 3 in descending order.\nAnswer: 3, t, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2 - 4*q. Let m(d) be the first derivative of -4*d**3\/3 + 3*d**2\/2 - 1. Let c(h) = 3*l(h) + 4*m(h). Let f(n) = -5*n. Calculate f(c(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 - 73*i**3 + 16957*i**2 + 86*i - 17398 wrt i?\nAnswer: -24*i**2 - 438*i + 33914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**7)**2 assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 319 + -321. Let b(t) = 30*t + 58. Let l be b(j). What is the nearest to l in 3, 0.1, 4\/7, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 438*h + 129970000. Let k be q(0). Round k to the nearest 1000000.\nAnswer: 130000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((72\/(-99))\/(-8)*-1)\/((-2)\/12)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 1418 + 927. Let r = 349 - o. Calculate the remainder when 278 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -514, -1099, -1686, -2275, -2866, -3459?\n\"Answer: -s**2 - 582*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 5*j + 0*j + (-2 + 6 - 2)*(-2*j + j - j) + (0 - 4 + 5)*(4*j - 3*j + j) + 2*j - 8*j - 4*j as z*j + u and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/78 + d**3\/39 + 2*d**2\/13 + 15*d. Suppose m(t) = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - v + 1842 = 0, 9*f - 8*f + 3*v = 1834. Calculate the greatest common divisor of 142 and f.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/17)*v\/(v\/(v**(-5\/6)*v)))**(-4\/19) assuming v is positive.\nAnswer: v**(-22\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 61*k**4 - 7*k + 12*k**2 - 57*k**4 + 0*k**3 + 1 - 14*k**2 in the form y + c*k + q*k**2 + l*k**4 + g*k**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147380 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 1 - (4 + 0 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 1, c: 5, d: 6, x: 3}. What is prob of sequence fgd?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 115, 490, 1131, 2032, 3187?\n\"Answer: -n**3 + 139*n**2 - 35*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 842630 (base 13) to base 9\nAnswer: 5728652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*m**3*p + 187*m**3 + 9*m**2 - 14*m + 3*p + 5 wrt m?\nAnswer: 144*p + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 - 14*o**2\/3 + 34*o\/3 - 6.\nAnswer: -2*(o - 1)**2*(o + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42225 (base 14) to base 4\nAnswer: 212331121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.4, -5\/3, 1, 1399.\nAnswer: -5\/3, -0.4, 0.1, 1, 1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 6, a: 2, o: 1, c: 2}. Give prob of sequence aag.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:51 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.531 or 182\/5?\nAnswer: 182\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**30 assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 0. Let s = -66 - -65.9. Is s at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 4*f + 1. Let y be p(-3). Suppose 2*t - y*t + 56 = 0. Suppose -820*n + 1848 = -776*n. What is the highest common divisor of t and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.99599mm to centimeters.\nAnswer: 6.099599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17331?\nAnswer: 3, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3417099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d - 6*d + d - 2. Let s be t(-1). Let b(q) = 590*q**2 - 11*q - 6. Let h be b(s). Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 269*d + 809. Let h be c(-3). Let y(u) = 17*u**3 - 5*u**2 - 5*u - 5. Let v(i) = 2*i**2 - 2*i**3 - i + 1 + 3*i - 6*i**3 + 1. Determine h*y(l) + 5*v(l).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482\/((-57)\/(11400\/(-16))).\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 12, 4 in decreasing order.\nAnswer: 12, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50832059 is divided by 917.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 33493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 5. Let s(r) = -6*r + 8. Suppose -5*f - 1 - 24 = 0. Let g(y) = f*s(y) - 8*o(y). Let c(k) = -2*k + k - 2*k. Determine c(g(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 53. Which is bigger: c or -6\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 4*j**2 + 2*j - 4. Let a be r(3). What is the tens digit of (-4)\/(a\/(-18) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/208)\/((-9)\/(-24)) + 116\/(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/6)\/((-4)\/(448\/70))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 28 - 3 + (-1 + 1 - 2)*(-4 + 2 + 3))*(0*f**3 + 2*f**4 + 0*f**3).\nAnswer: -44*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -22*u + 56. Solve 5*q - y + 16 = 0, -u*q + 7*y = 4*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 13. Let b be h(9). Let o be b\/(-6)*9\/(-12). Let u be (-3 - -1)\/(-1) - 1. Is u >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/24867493 and -81\/50212.\nAnswer: 99469972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44343029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -693 (base 11) to base 7.\nAnswer: -2262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60353.62ml to litres.\nAnswer: 60.35362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, z: 13}. Give prob of sequence eez.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -3.9. Let u = -19 - z. Let o = u - -23.5. What is o rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4198 and 14?\nAnswer: -33.8772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -14)*(-4 + 124\/6). Suppose 14*p = 12*p + g. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316830311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15*-12 + 0. Let m be (0 - y)\/((-4)\/30). What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.136457 litres?\nAnswer: 9136.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6646763 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3516, 6124, 8732, 11340, 13948, 16556?\n\"Answer: 2608*l + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 10, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*k**4 + 0 - 32\/5*k**2 + 2\/5*k**3 + 8*k.\nAnswer: 2*k*(k - 2)**2*(k + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 12*u**2 - u + 6. Let g be v(12). Let t(j) = -4*j - 6. Does 12 divide t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14832 and 151\/264?\nAnswer: 163152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-15 + 8) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1094\/145 + 213\/29. Which is the second smallest value? (a) d (b) 11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269626476 to the nearest integer?\nAnswer: 16420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13986, 14026, 14102, 14232, 14434?\n\"Answer: 3*o**3 + 19*o + 13964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34 * 7.7\nAnswer: 261.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.152 and -76.\nAnswer: -76.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 2 = 47. What is the smallest common multiple of j and 131?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 58 (b) 1\/7 (c) -3\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 13*t**2 + 2*t + 2. Let n be l(13). Let x = n - 25. Solve -2*k + x*k + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, -2\/5 in decreasing order.\nAnswer: 5, -2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -125. Let q = x + -140. Which is the nearest to -1\/4? (a) -2\/3 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*u = -323 + 31 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 7. Suppose 5*p = -4*d + 7*p - 14, 0 = -5*p - 25. What is u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from xvvmxiimv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0. Let c = -2332 - -2332.4. Put c, 4\/5, x, 1\/8 in increasing order.\nAnswer: 1\/8, c, x, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 59. Let g be ((-162)\/45)\/(l\/110). Let m = 245 + g. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 36. Let l = 12 + b. Let n = l - -5. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 8 + 36. Let n(y) = -26*y + 36. Let b(h) = 5*h - 7. Let a(p) = r*b(p) - 2*n(p). What is the remainder when a(-7) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69381983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/20 and 101\/35050.\nAnswer: 70100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - 14 + 26 - 13 - w + 2*w**3)*(-1 + 22 - 6) as k*w**3 + d*w**2 + p*w + q and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -20*d + 7*d. Suppose 2*b + 4 = d. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/5 + 92189*v**2\/5 - 3043326*v\/5 = 0. Calculate v.\nAnswer: -92222, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -23.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/38613848 and -61\/708.\nAnswer: 115841544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 20*(-6)\/(-16))*(-32)\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (3 - 3)) + -1 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q + 17*q - 7*q**3 + 16*q - 48*q.\nAnswer: -7*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*q + 1963 = -393, -q - 473 = -p. Calculate the greatest common divisor of 141 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*y - 13 = 0, 4*m + 3*y = -19 + 25 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -878308 (base 10) to base 3.\nAnswer: -1122121210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16047 in 0.5, -2\/95, 1\/4, 2\/15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 476755.\nAnswer: 476755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6547 + 7.6547. What is the second biggest value in 0, w, -0.136?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.5808866 rounded to three decimal places?\nAnswer: 31.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4649.3925 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 + 106. Let h(t) = 2*t - 3. Let m be h(3). Solve -10 = m*w + 2, -4*n = -o*w - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -10 - 6) + 1 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-8 - -20 - 8 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*o = 12, -o - o = d + 3. Let q(r) be the third derivative of 1\/24*r**4 + 4*r**2 - 11\/6*r**3 + 0*r + 0. What is q(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010221 (base 3) in base 10?\nAnswer: -21976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 + 15*i**2 + 7*i - 7. Let k(g) = -2*g**3 - 7*g**2 - 3*g + 3. Suppose 32*z = -78 - 18. What is z*f(s) - 7*k(s)?\nAnswer: -s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8244 - 8244. Let g = -1 + 0. What is the closest to 1 in c, 2\/9, g?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -98, -158, -218, -278, -338?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 383069957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -8*(36\/(-8) + 4) and (-1 + 23\/3)\/((-6)\/(-18))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) - (sqrt(117) + -1) - (sqrt(832) + 2))*1)**2.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(17) + 2*sqrt(153) + -5*((sqrt(34)\/sqrt(2) - sqrt(17)) + sqrt(17))))**2 + -3*(1 + sqrt(68) + sqrt(68))*-6.\nAnswer: 72*sqrt(17) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19475 + 19537. Which is greater: z or 34?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c (base 13) in base 8?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -20649?\nAnswer: 5\/20649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6*d = -6. Suppose 0 = -7*r + d*r + 24. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 626, 1331, 2036, 2741, 3446?\n\"Answer: 705*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -466, -501, -536?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) 2\/7 (c) 0 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3 + 1664*y**2 - 166910*y - 875900 = 0.\nAnswer: -922, -5, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((sqrt(275) - (sqrt(275) + 1)) + sqrt(275))*-1*6)**2*3 + 2).\nAnswer: -1080*sqrt(11) + 29810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 21*p**2 + 46*p - 11. What is the hundreds digit of t(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:46 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-15))\/((-1)\/(-12)). Let j(q) = -6*q + 3*q + n*q. Let y(m) = -13*m**2. Give j(y(k)).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2731 + -2731.1. Let w = 9.7 + -0.7. Sort k, -6, w in decreasing order.\nAnswer: w, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1661*p = -18748 - 26099 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 24*g**2 - 14*g - 109. Let n be z(21). Round n to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 - (7 + (-4 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 8. Determine g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 23 - (-25 + 15 - (-14 + 8))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -123000500?\nAnswer: 123000501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.9?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2 and 83\/5330112.\nAnswer: 5330112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/525 and -103\/70.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 15, 291 = 5*v - j + 2771. Is (0 + 2)\/1 - v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) - sqrt(12) - sqrt(3)) + 2.\nAnswer: -2*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*r + 57*a*r + 4*a*x + 2*a + 45*r*x - 2*x with respect to a.\nAnswer: 4*a*r + 57*r + 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2256176 rounded to 2 dps?\nAnswer: 4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2*z + 1. Let l be j(4). Let k = l + -7. Suppose -2*i - k*i = 39600. Round i to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 + (233\/210 - 2\/14)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -82167 divided by -82167\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3732 and 48.\nAnswer: 47.6268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/10533 or 0?\nAnswer: 1\/10533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c = 0. Solve 6 + c = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxuxxbxxxxxu. What is prob of picking 3 x and 1 b?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851997009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:10 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2321*t = 102730 - 397497 for t.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3236 + -2182. Let h = o + -214. Suppose 45*g - 48*g = -h. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 2. Let f(t) = t + 1. Suppose 5*j - 3*j = 0. Let v = 6 + j. Let b be (v - (3 - 2))*-1. Determine b*n(o) - 12*f(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**4 - 85*q**3 - 5*q**2 - 10*q + 435. Let f(p) = 2*p**3 - p**2 - 2*p - 1. Let x(b) = -5*f(b) + z(b). Differentiate x(m) wrt m.\nAnswer: -4*m**3 - 285*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -380 (base 11) to base 2.\nAnswer: -111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 2, p: 1, v: 1, y: 2, b: 2}. Give prob of sequence np.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/7)*-72*4\/(-252).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6689637\/82 + 81582. Find the common denominator of -13\/9 and h.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225941 is divided by 7057?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286*h*m*t**3 + 26*h*m*t**2 + h*m - 3*h*t**4 + h*t**2 - 40*m*t**4 - 233*m - 4*t**2 - 1 wrt t.\nAnswer: -1716*h*m - 72*h*t - 960*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 0.31. Let a be 3\/(-2) - (-4)\/2. Let p = -46 - -44. What is the nearest to g in p, -1\/11, a?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 12*l - 6. Let k(b) = -3*b**2 + 14*b - 6. Let c(w) = -3*k(w) + 4*q(w). Give c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 508 - 60b?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -157225323 + 0?\nAnswer: -157225323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -97 (b) -14 (c) 95 (d) -1 (e) 2\/11 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/13 (b) -4 (c) -39\/643\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) 0.3 (b) -5 (c) -1083 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/3948566 and -133\/14727084.\nAnswer: 544902108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + (-26)\/(-6). Suppose 0 = -6*d + d + i. Let j be (-30)\/d*(-3)\/9. Calculate the greatest common divisor of j and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223 + 223. Suppose -2*q = -c*q - 92. Calculate the highest common factor of 230 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -362*b**4*v - 2*b**4 + 2*b**3*v - 176*b**2 + 2*b*v wrt b?\nAnswer: -8688*b*v - 48*b + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1532 + 1535. Let g(z) be the third derivative of 0*z**r + 0 - 14*z**2 + 0*z - 1\/270*z**5 + 1\/108*z**4. Find j such that g(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 18\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 10 = -6*m. Solve 2*d = -m*c + 20, 0 = -3*d + c + 2*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*p + 18, 4*p + 2*l + 3*l - 9 = 0. Suppose p*b - 2 = b - 3*d, -4*d = 2*b - 12. Let w be 0\/(-13)*(0 - 1). Put b, 5, w in decreasing order.\nAnswer: 5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46209)\/(-3798) - (12 - 0). Which is the closest to 5\/4? (a) 2 (b) j (c) 0.1 (d) -4\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660061399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c - 1 = r, -3*c - 4*r - 6 = 0. Let i(p) be the second derivative of 0 + 5\/6*p**3 - p + 3\/2*p**c. Calculate i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9429*d*h**2*k**3 - d*h**2 - 5*h**2*k**3 - 3550*h**2 - 2*h with respect to d.\nAnswer: 9429*h**2*k**3 - h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1456 and -107\/156?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by 19\nAnswer: 185\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 127?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r - 33. Let j = -14 + r. Which is the closest to 0? (a) 2\/9 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97813 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f. Let j(a) = 2 + f - a + 2*a. List the prime factors of j(12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6179 in 2, -44, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, 4\/9, -4, 3\/257?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1107 + -891. Calculate the remainder when p is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 12*t - 42. Let d be (-3 + (-19 - t))\/(-1). Solve -d = 7*m - 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 17.67528 years?\nAnswer: 0.01767528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61.7 - -3.3. Let z = i - 65.00000109. What is z rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -292 + 538. What are the prime factors of s?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153*-4069\nAnswer: 622557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56886?\nAnswer: 2, 3, 19, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + (-53)\/((-212)\/48). Is 41\/42 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + 4*j + 10. Suppose 13*z = 15*z + 8. Let a be c(z). Let n = a - 74. Solve -5 = -3*b + 2*b + 5*u, n = 4*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/48 and -41\/1240?\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 3*h**2 - 149*h - 156. What is z(-6)?\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1089 and 35\/13068.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 8*g + 172. List the prime factors of g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -12*q + 7*q. Let u = 10 + -6. Let o be q + (-3 + u)*2. Solve -4*c + 16 = -o*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730920 divided by 30455.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/24 + 107\/3. Find the common denominator of 14\/y - 48\/(-10) and 27\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1093*s - 1088*s = -3*l + 43, s + 4*l - 29 = 0. Let p(q) = -2*q**3 + 7*q**2 + 13*q - 9. Give p(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from inmnyynfff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 2. Give u(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 7)*(-23)\/3. What is the units digit of (g - -18)\/(2\/(-36))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 1957*t + 2351. What are the prime factors of c(16)?\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17? (a) 0 (b) 3 (c) 4 (d) -1\/359 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*t - 29 = 6*w, -5*t = -3*w - 47. Let p = w + 14. Suppose 4*b = -2*k + 3*k + 84, 0 = -p*b - 3*k + 122. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.363 + 3.163. What is the second biggest value in 0, -0.16, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12906?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b = -2289 + 2141 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 0*r**2 + 0*r**2 - r**2 + r**2 + 2*r**4 + (-2*r**4 - r**4 + 5*r**4)*(0 - 6 + 4) - 24*r**4 + 11*r**4 + 17*r**4.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 897.3271.\nAnswer: -1256.25794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14623 * -2128.\nAnswer: -31117744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5495 + 0.3495. Which is the fifth smallest value? (a) 2\/5 (b) -1\/2 (c) 2 (d) -3\/17 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40691383 to the power of 1\/2, to the nearest integer?\nAnswer: 6379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17945, -72010, -162097, -288200, -450313, -648430?\nAnswer: -882545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 931 or 932?\nAnswer: 932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**7\/840 - n**4\/24 - 4*n**3\/3 - 6. Let k(b) be the third derivative of g(b). Find the first derivative of k(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.1631 to 1 decimal place.\nAnswer: -81.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2. Let d(w) = -2*w - 16. Let y(p) = -d(p) - 10*z(p). Let n(v) = 3*v - 7. Give -6*n(q) + 11*y(q).\nAnswer: 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2275077 by -108337.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 2320, 6856, 15404, 29302, 49888, 78500, 116476?\nAnswer: 165154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1285 + -1220. Let k = 55 + 0. Suppose -5*i + k + u = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58662 + 3114.\nAnswer: 61776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 4d06?\nAnswer: 4d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/13 + 666*z\/13 + 260.\nAnswer: -2*(z - 338)*(z + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -241110 (base 5) in base 11?\nAnswer: -6766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2*p = -0*p - 4, -6*p - 32 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 12*y + 65. Let q = y + 9. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -126, -310, -568, -900, -1306?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 4*a**2 - a**2)*(5*a - a - 2*a) + 0*a**2 - a**3 + 0*a**2.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**4\/2 + 333*y**3 + 16656*y**2 - 5328*y - 266112 = 0.\nAnswer: -42, -4, 4, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.44?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**3 + t + 3. Let q(g) = -g**3 + g**2 - g - 1. Let n(x) = d(x) + 5*q(x). Let a(c) = -2*c**3 - 11*c**2 + 9*c + 4. Give -4*a(z) - 9*n(z).\nAnswer: -z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:18 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14706 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5941762, 0.4, -5, 4 in ascending order.\nAnswer: -5941762, -5, -3, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 671 and 341051.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 9*h**2 + 15*h + 36. Let a be s(-7). Let y = 500 + a. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11428722 = -2*t - 11551269, -t = 3*w + 11490009. Round t to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 13 - 23)*(-3*p**2 + 3*p**2 + p**3)*((-2*p - 2*p + 2*p)*(3 + 3*p - 3) + 0 + 3*p**2 + 0).\nAnswer: 168*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = q + 52. Let i be 2\/8 + q\/(-72). Factor 2\/3*j - i*j**2 - 2\/3*j**3 + 1\/3*j**4 + 1.\nAnswer: (j - 3)*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7274 + -7274. Let x(y) be the second derivative of 14*y + d - 7\/6*y**3 + 0*y**4 + 1\/10*y**5 + 0*y**2. What is the second derivative of x(f) wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 20 = -2*p. Let x be (-146)\/p + (-6)\/15. Let i be ((-24)\/15)\/(6\/x). Solve 5*l = 3*l + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/6 + 9*i**2\/2 - 6*i. What is the tens digit of b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460120 (base 9) to base 5.\nAnswer: -32310121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72516 = 36*w - 24*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 8*r - 1. Let x be c(-8). Let o be (5 + 1)*(-6 - -7). Sort o, -5, x in decreasing order.\nAnswer: o, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 36 = 5*s - 4*b, 0 = -s - 4*b + 42. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2398, 13282, 31424, 56824?\nAnswer: 89482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -7*f - 14*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 227, 12\/59, -5, 0?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -59*1*(12 - 13). Let z = -27 + i. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -65*m + 251. Let n be a(3). What is the greatest common factor of 742 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/360 + b**5\/20 - b**4\/6 - b**3\/2 + 3*b**2. Let a(i) be the first derivative of k(i). What is the units digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-2\/15)\/l)))\/((l*l\/(l*l**4*l))\/l))\/((l**(-9)*l*l)\/l**(-6)) assuming l is positive.\nAnswer: l**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 539293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 16*a**2 + 88*a - 19. Let n(t) = -7*t**2 - 44*t + 9. Let v(h) = 7*n(h) + 3*q(h). What is the tens digit of v(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747 divided by 35?\nAnswer: 4747\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.78 + -57.22. Does 2\/9 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2381 or 0?\nAnswer: -1\/2381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**9\/(b\/((b*b**(-3\/4))\/b))*(b*b**1*b)**(-18\/11) assuming b is positive.\nAnswer: b**(103\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 21 + 15 = 4*m, 5 = 5*x - 5*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -574293, -1148589, -1722887, -2297187, -2871489, -3445793, -4020099?\n\"Answer: -d**2 - 574293*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*t - 17 + 2, -5*t = 3*o - 24. Let s(f) = 2*f**2 - 16*f + 38. Let i be s(4). Sort 1, i, o, 0 in ascending order.\nAnswer: 0, 1, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (78\/(-91) + (-15)\/7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 37*u**4\/4 + 19*u**2 + 37. What is the second derivative of t(y) wrt y?\nAnswer: 222*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17120, -67729, -152078, -270167, -421996, -607565?\n\"Answer: -16870*y**2 + y - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 4:33 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + 1*sqrt(204) + sqrt(204))\/sqrt(12) + 2 + ((-2*sqrt(833))**2 - (sqrt(68)\/sqrt(4) + -1)).\nAnswer: 2*sqrt(17) + 3335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124801, 5, 11 in decreasing order.\nAnswer: 11, 5, -124801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/(-86))\/((-11)\/(-77)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let w(x) = -2*x**3 + i*x + 7*x**2 - 2*x - 5 + x**3. Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2136792626 - 2*q**3 + 2136792626.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11473 and 2506.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -19\/19998214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-35)*1*8\/(1248\/28)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 35. Let t be ((-6)\/(-12))\/(z\/(-2)). Which is the nearest to 1? (a) -3 (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(45)*-2)\/sqrt(9))**2 + sqrt(25)\/(sqrt(80)\/sqrt(4)).\nAnswer: sqrt(5)\/2 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -599.3610618.\nAnswer: -598.7610618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(3*w - 2*w - 3*w) + (0 + 4 - 5)*(3*w + 2*w - w) + 3*w - 22 + 22.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 1. Let x be j(-1). Suppose 0 = b + 3*u + 1, x*b - 5*b = 3*u - 15. What is the lowest common multiple of (3\/6*-9)\/(3\/(-8)) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-16 + 18 - (-1 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1432\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-1\/2)*x)**(-33)\/(x**(-2)*x)**33*((x**2\/x)\/(x**(1\/11)*x))**(4\/17) assuming x is positive.\nAnswer: x**(-30863\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-5))\/(0 - (-4)\/(-50)). Suppose -3*l**2 + 37 + 11*l + 0*l**2 - 35*l - p = 0. What is l?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, -0.2, -2 in descending order.\nAnswer: 142, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 189 - 2*p**2 + 219 + p - 5*p.\nAnswer: -2*p**2 - 10*p + 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2789 (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198765397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1740 and 77\/223880.\nAnswer: 671640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032413452 rounded to three dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-18) + (-111594)\/(-108))\/((-60)\/(-120)).\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37006 - -37020. Solve -u*v - 104 = -6 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.1 and -0.711?\nAnswer: 0.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 8*h + 10. Let p be q(9). Let v be (-65)\/(-39) + (-1 - 0 - p). Is 1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from kacav?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 201*v - 1428. Give q(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.071\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**3 - g. Let p be i(1). Let s be 20*(527\/(-170))\/(-31). Solve -4*k = -p*k + s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2 + 3 - 4 + 12*d + 1. Let t be u(-1). Let y = t + 52. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + p - 15, 325 = -y - p + 330 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -50 - (62 + 1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from txxtxxxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 3*l. Let r be p(-2). Let u(b) = 2*b - 2. Let v be u(r). Let 4*c - v*c**2 + 0*c + c**2 - 3*c = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 64432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 5841.\nAnswer: 23364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.999947 - -101. Round x to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 + 1. Let g be s(3). Let d = -3 - g. Suppose -2*t - 2*t = -12. Sort t, d, -4 in decreasing order.\nAnswer: d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24411706?\nAnswer: 2, 11, 47, 23609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.908756ml to litres.\nAnswer: 0.001908756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 56*j - 3. Calculate s(-28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(18\/2)\/9)\/50?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 + 90\/25. Suppose 220 + 76 = x*h. What is the greatest common factor of 111 and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*d - 2660 = -357*d + 824*d - 252*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.37 >= 17232\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 6*p + p + 0 + 0 + (-1 - 2 + 5)*(-3*p - 3*p + 4*p) + p + 0 + 0 + 6*p - 4*p + p in the form c*p + h and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80506970 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 1, 0.35?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k - 13. Suppose 6*p - 3*p - 90 = 0. Let d = 40 - p. Let x be b(d). What is the highest common factor of 38 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54147107*o**2*v + 2*o**2 + 26096*o - 778 wrt v.\nAnswer: -54147107*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 18 = -6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-25594)\/(-764)*((-3)\/2)\/(18\/8).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -291\/56 + 39\/7. What is the third biggest value in 2\/15, 18\/5, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1699.5 times -0.3\nAnswer: -509.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + 0.38. Let r = -5 + 12. Which is the second biggest value? (a) -1\/2 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, y: 2, l: 1}. Give prob of sequence ld.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l + 1051 = 3*v + 28*l, 3*v + 2*l - 1046 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 6*c - 6. Let q be l(4). Let s be ((-2)\/4)\/(-1*3\/q). Solve -s*n - n = -20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391822 rounded to the nearest 1000?\nAnswer: -392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*f - 2)*(-1 - 1 - 2)*(2 - 1 - 3)*(6*f - f - 4*f).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 + 264 = 9*l - 28*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -2\/19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let i(x) = -3*x. Suppose 44 - 14 = 5*h. Suppose 534*v - 531*v - 28 = -4*z, 5*z + 19 = 3*v. Give h*l(n) + z*i(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -3, 3, 180 in decreasing order.\nAnswer: 180, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (40\/12)\/(4\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -947.463541 rounded to 0 dps?\nAnswer: -947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056 and 924?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 556 divided by 3\nAnswer: 556\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4482179534 to the nearest integer?\nAnswer: 66949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3605536 divided by 8.\nAnswer: -450692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439450 is divided by 109849?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.5, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 4167.89?\nAnswer: 4167.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*w*z**2 + 16*w*z - 37*w + 144*z**2 + 11*z + 27 wrt w?\nAnswer: 4*z**2 + 16*z - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 0, -2004\/2863 in descending order.\nAnswer: 1.7, 0, -2004\/2863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 2*r)*(-6 + 4 + 3) - 1 + r + 1 + (0*r + r + r)*(-2 + 1 + 0).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 - l**3 - 1 + 2*l**3 + 2*l**2 to the form d*l**2 + w*l + k*l**3 + q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (0 + (-2 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*g**5\/7 - 2640*g**4 - 138322*g**3\/7 - 276436*g**2\/7 - 214464*g\/7 - 57920\/7 = 0. Calculate g.\nAnswer: -362, -5, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 26. Let h = y + 161. Let m = 206 - h. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 8\/5 (b) -2\/3 (c) 271\/2 (d) 1\/4 (e) 0 (f) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7602.851 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -0*i. What is the units digit of -3 + (-140)\/(1 + i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -8. Factor 1 - 3*b**4 - 3*b**2 - 1 + 3*b + w*b**2 - 3*b**3.\nAnswer: -3*b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/((-28)\/(-930))*(-24)\/30 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*y + 32*y + 11392. What are the prime factors of y?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/26312 and -85\/22.\nAnswer: 26312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -418536 greater than -418729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25104 divided by 4.\nAnswer: -6276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n - 9. Let u = -9 - n. Is u at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/60417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057766 to the power of 1\/2, to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 3 + 7*m**2 + 6*m + 4 - 2*m**2. Is f(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/7 and (-2)\/4 - (-171)\/(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrr when three letters picked without replacement from vnnnvbnvrrv.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lagdeddgguaggdg. What is prob of sequence dad?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516 a factor of 99844103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2. Let a(y) = 22*y**2 + 2662. Determine a(v(f)).\nAnswer: 198*f**4 + 2662","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 4*m - 44 + 2*m**2.\nAnswer: 2*m**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 1\/9, 0.2, -72\/19 in decreasing order.\nAnswer: 0.2, 1\/9, -2\/13, -72\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -375, -826, -1457, -2268?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*a**4*k**2 - a*k**2 + 170*k**2 wrt a.\nAnswer: 36*a**3*k**2 - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 + 1154*z**3\/7 - 996*z**2 + 13976*z\/7 - 9328\/7.\nAnswer: 2*(z - 2)**3*(z + 583)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -151, -1220, -4055, -9538, -18551, -31976, -50695, -75590?\n\"Answer: -147*l**3 - l**2 - 37*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 74 - k**2 - 35 + 47 + (0*k - k + 2*k)*(-3 - 2*k + 3) - 2*k - 3*k**2 + 2*k.\nAnswer: -6*k**2 - 2*k + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkut when four letters picked without replacement from {k: 1, l: 1, t: 1, u: 3, e: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 n when four letters picked without replacement from xxxxxxxxxxnxxnxn.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57816 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -25. Let b = 22 - x. Let p = b + -1. What is the smallest common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and 6596919.\nAnswer: 6596918.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21189 + 21184. What is the biggest value in y, -15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 14 + 8)*(5 - 2 - 1) + 1 - 2 - 1)*(-2*y + 5*y + y)*(6 + 1 - 4).\nAnswer: -336*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - ((5 - -2) + 5). Let v(p) = -10*p**2 - 11. Let r(n) = 2*n**2 + 2. Give d*v(m) + 11*r(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/20 - r**4\/6 + r**3\/3 + 2*r**2 + 2*r + 154. Give d(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 521758\/203 or 2569?\nAnswer: 2569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -180*x + 0*x**4 + 178*x - 3*x**4 wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -108. Let p be -2 + 54\/y - (-195999998)\/8. What is p rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 9*s**2 + 9*s + 18. Let h be y(-8). Suppose -3 + h = p. Suppose -14 = -p*o + 14. Solve 2*b - r + 3 = 1, 0 = -3*b + 5*r + o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1. Let d = -1.234 - -1.0302. Let g = d - q. Round g to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.5, -15, 1.56 in decreasing order.\nAnswer: 1.56, 1, 0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1 - 1 - 1 - 2*m**2 + m. Let x(z) = -1. What is -h(k) + x(k)?\nAnswer: 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 11*f + 53 - 21*f + 14*f as a*f + y and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 52*v**3 - 56*v**2 - 43*v + 42. What is l(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/13 (b) 3\/46 (c) 3\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {x: 6, p: 4, z: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:45 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ididd. What is prob of picking 1 i and 3 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 168044026 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -7. Suppose 2*i + i - 120 = x. Let h(y) = y**3 + 7*y**2 - 11*y - 72. Let c be h(-7). What is the highest common divisor of c and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -202100200001201?\nAnswer: -202100200002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -189 + 130*c**3 + 50 - 342 - 30*c**3 wrt c?\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most -60837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 28127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40775, 81890, 123339, 165122?\nAnswer: 207239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 <= 12554\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399561 is divided by 1279?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 5) in base 6?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + (-392)\/(-80))\/(1 + 0). Let f = 2.3 + -2. What is the smallest value in f, a, 0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10455)\/34*4338\/(-135)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41546 * 0.06.\nAnswer: -0.0249276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2605316, -5210635, -7815954, -10421273, -13026592, -15631911?\nAnswer: -18237230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 10. Let f = 44 - 43. Let b be 1\/3 - (-28)\/6. Let w(j) = j - 1. Let q(u) = b*w(u) + f*v(u). What is the derivative of q(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 11:30 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1581 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 300461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -409 + 97 - 21*f**2 + 104 + 103 - 44*f**2 + 102. Let c(u) = -9*u**2. Let j(x) = -4*x**2. Let m(t) = -2*c(t) + 5*j(t). What is w(m(a))?\nAnswer: -260*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.039 in 12\/13, 5, 3\/4, -1\/7, -52?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 14 = -2*z, 1620*z = 1624*z - 3*s - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 819.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 3, 136, -3.\nAnswer: -3, -1, 3, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m + 14. Let o(t) = -t + 2. Calculate 15*o(b) - 3*y(b).\nAnswer: 12*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96236 divided by -6874.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -2, 26.4.\nAnswer: -10, -2, 3, 26.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 4*q - 7. Let s be 14\/63 + (-284)\/(-18). Suppose r - s = -3*r. Suppose -3*z + 20 = f, 11 = 3*z - r*f + 1. What is k(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 1 + 4*d**2 + 2*d**3 + 6*d**2 + 2*d - 8*d**2 - 2*d**4 to the form h*d**4 + w*d + l + z*d**3 + s*d**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 4. Let y(d) = d**2 - 2*d - 2. Does 13 divide y(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 43*h**2 - 45*h - 77. Calculate f(44).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100843742 a multiple of 6320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 92*c - 93*c - 2, c - 14*c + 72 = -o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 154585468 + -3?\nAnswer: 154585465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82*4\/(-14)*((-964)\/(-2169) - (-47)\/36)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}