diff --git "a/data/dm_maths/full_data_2/10758_11255.jsonl" "b/data/dm_maths/full_data_2/10758_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10758_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from azvzvzn. What is prob of picking 1 v and 1 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3713.\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110131021021 - 10?\nAnswer: 2110131021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6310525 (base 7) to base 3\nAnswer: 1102120010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2 - (-13)\/6). Let d = -6 + w. Let m(j) = -j**2 + 8*j + 3. Let k be m(5). What is the highest common divisor of k and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (288*r + 3 + 3*r**2 - 288*r)*(-3 + 0 + 1) - 7*r**2 + 7*r**2 - 16*r**2 to the form n*r**2 + u*r + x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -2 - (-7 + -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23978 + -2733445\/114. What is the common denominator of n and -81\/14?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000010 (base 2) in base 16?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/446276 and 25\/15128?\nAnswer: 892552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010582 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-22))\/(((-2)\/14)\/((-2166)\/1197)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 1:45 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128139750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 + q - 1. Let p(u) = 5*u**3 - 4*u. Let f(w) = p(w) + 4*z(w). Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*z**2 + 74*z**2 - 147*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 298 divided by -43\nAnswer: -298\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20954148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -2\/7, -0.3 in ascending order.\nAnswer: -0.3, -2\/7, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 + 23*t - 23*t)*(12 - 13 - 7)*(-2*t - t + 2*t) + 0*t**3 + t**3 + 0*t**3 to the form m*t**3 + a + u*t**2 + w*t and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 50. Let n(l) = -24*l - 432. What is -17*f(r) - 2*n(r)?\nAnswer: -3*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 112. What is the remainder when 33 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130308 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r + 27 = 0. Let i be -3*(-3)\/r*3. Suppose b = -2*y - 6, 15 = 4*b - 8*y + 3*y. Solve b = -i*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4\/11 - 691720*o**3\/11 + 188652*o**2 - 2075176*o\/11 + 691726\/11 = 0.\nAnswer: -345863, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 340984 and -0.014.\nAnswer: -4773.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/35 + (-1)\/(-7). Suppose m*f = f - 2*l - 2100002, -5*l - 5 = 0. Round f to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 14. Let c be i(-5). Let j = -0.03 - -5.03. Let v = 8 - 8.5. What is the closest to -1 in v, j, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-15))\/((-48)\/(-40))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2\/2 + 20*c + 441\/2 = 0.\nAnswer: -9, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 2 + -2 - ((sqrt(85)*-2 - sqrt(85))\/sqrt(5))**2.\nAnswer: -153 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11803 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367551 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 8*u**2 + u - 4. Let q be a(8). Suppose -5*y - 2*r + q*r = -44, -r = 4*y - 43. Calculate the remainder when 29 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z + 1\/168*z**8 - 2\/105*z**7 + 0 - 1\/12*z**4 + 0*z**6 + 1\/15*z**5 - 3*z**2 + 0*z**3. Suppose w(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8674 divided by -14.\nAnswer: -4337\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwi. What is prob of sequence wiw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, 120, 196, 292, 414, 568, 760, 996?\n\"Answer: w**3 + w**2 + 52*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Suppose -10 = -3*c - 4*d - 0, 2*d = 2*c - 2. Suppose f = h - 2*w, c*w = h + 4*w. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 44 + 25 = 4*p, 0 = -3*p - 12. Is -16 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47028.52 rounded to the nearest one thousand?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t + 208*t - 86*t + 237*t + 37*t in the form g*t + y and give g.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146091427.\nAnswer: 146091427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 276051019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 2*c + 6. Let x be o(5). Let n(l) = -l - 6. Let w be n(x). Suppose 5 = w*k + q, 0 = -2*k - 0*k + q + 10. Solve 0*v = -v + k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 2*u**2 - 2. What is m(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95130000 rounded to the nearest 1000000?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 280, 560, 842, 1126, 1412?\n\"Answer: b**2 + 277*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -14)\/(((-21)\/126)\/((-6)\/36))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xebjmjmmmbcbm. What is prob of sequence me?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (5 + -1 + 2). Let q be 2\/5 + (-73)\/y. Suppose j = -2*j + q. Solve j*r - 8 = -28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 29 - -16) + -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 1 - 1)*(p**2 + 2*p**2 + p**2)*(5 - 26 + 15 + p) to b + m*p**2 + o*p**3 + c*p and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.17 and 339.\nAnswer: 338.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3177360 and 706080.\nAnswer: 6354720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73\/776 + 3\/97. Let k = 9037 - 35925\/4. Let l = k - 56. Which is the smallest value? (a) 3\/5 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-88)\/120*60\/(-48)*(-1)\/(-10).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/7 + -1. Let m be 2\/(-6)*(-8)\/(-12). Let g = -26\/3 + 17\/2. What is the second biggest value in g, m, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgg when four letters picked without replacement from {g: 14, w: 4}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 776*a**2*z + 12*a**2 + 7 wrt z?\nAnswer: 776*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/6 and (-185)\/(-1090)*(2 + -4)?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akakykaaaayak. Give prob of picking 1 k and 3 a.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 - 203 + 425 + 0*x**3 - 222.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -0.222?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 3*r - 16. Is 7 a factor of x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(833) - (sqrt(833)*-1 - sqrt(833))) + 0 - (sqrt(833) + -2*sqrt(833)*-4)) - ((-2*(-1*sqrt(153))\/sqrt(9))**2 - sqrt(153)\/(sqrt(1008)\/sqrt(7))).\nAnswer: -167*sqrt(17)\/4 - 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 - -233 - (0 + -1 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 3 = 0. Suppose 0 = -t + n*t + 3*u - 73, 0 = 3*u + 3. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1236876025 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73 and -6028439362.\nAnswer: -6028439289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 7*o**2 + 4*o + 12. What is q(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02287 to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3\/2, -5, -3\/7, -25117, 1\/3.\nAnswer: -25117, -9, -5, -3\/7, 1\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 = -3*r, -4 = -2*r - 3*b - b. Suppose -5*v + 225 = -r*v. What is the units digit of (15\/v)\/(1\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.06, -3, -4.16, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/391 - -13304\/1955. Calculate the common denominator of h and (97\/9)\/((-2)\/3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 716 + -401. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45*3*(-2)\/(-9). Let d(t) = -t**2 - 56*t - 448. Let z be d(-47). Let m = z + i. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 644983 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 53. Let n be i(-18). Let q = 0.61 - 0.11. Let s = 12 + -12.1. Which is the second biggest value? (a) q (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/5 - 33*i**4\/5 - 306*i**3\/5 - 378*i**2\/5 + 567*i + 1215 = 0 for i.\nAnswer: -15, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - (-15064 - 1)) + (-4)\/(-2). Let c = r + 9427. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1210 divided by 3.\nAnswer: -1210\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/150 - x**4\/15 + 4*x**3\/15 - 96*x**2. Solve m(j) = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9431*v + 5*v**2 - 18862*v + 9431*v. Let y(s) = -3*s**2 - 10*s**2 - 10*s**2. Determine g(y(r)).\nAnswer: 2645*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0719 + -27.1119. Let m = -27 - a. What is the third smallest value in -1.3, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-2)\/(-6)*297\/(-198))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 9. Let a(w) = 2 + f*w**2 - 3*w**2 + 7 - 5*w. Is 10 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*n + 435 = 0, z - 5*n = -7*n + 141. Let x = z - 118. Calculate the remainder when 216 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in -2\/23, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 5\/122734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-374*(-294)\/(-539))\/(-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:04 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/6 of a decade?\nAnswer: 820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 28 + 308 = 0. Suppose s + 5 = 0, -3*n + 0*s - 2*s + v = 0. Calculate the remainder when (35 + -1)*(7 + -6) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + g. Let i be s(-1). Let h = 1483 + -1466. Let w = 14.48 + -14.98. Sort i, h, w.\nAnswer: i, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 376 = 432. Let m = -194 + b. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595662981?\nAnswer: 3, 2111, 94057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2. Let p(t) = -t + 14. Let z(f) = -f + 12. Let r(g) = -6*p(g) + 7*z(g). Determine -2*r(j) + s(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**23\/b)\/b)**(-25\/3) assuming b is positive.\nAnswer: b**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 153966479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 3 = 7*m. Suppose 5*r + 19 = 2*k, -k - 7 = -0*k + m*r. What is the third derivative of -9*y - 17*y + 12*y**3 - 2*y**k + 26*y wrt y?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 > 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21743046 and 462618?\nAnswer: 21743046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - o + 506 = -2745, 0 = -4*m + 3*o + 4313. List the prime factors of m.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*(-28)\/(-21). Let y(u) = -4*u**2 + 3*u + 1. Let q be y(6). Let h = -123 - q. Which is the third biggest value? (a) -5 (b) t (c) -3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 3, 0 in decreasing order.\nAnswer: 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 337310 divided by 89\nAnswer: 3790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22898.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a = 2*a - 102 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -374, -920, -1694, -2702, -3950, -5444, -7190?\nAnswer: -9194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3809505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 4*x**2 - 53)*(2*x - 5 + 5 + (3 - 3 - x)*(-2 - 2 + 2) - 3*x + x + 4*x) + (-4*x - x + 3*x)*(1 - x**2 - 1) + x - x + x**3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59625 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -76*f + 78*f - 19, 0 = f + 2*p + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2 + 0.2. Let g = 0.3 + 0.2. Let v = -7107 - -135031\/19. What is the fourth smallest value in g, -0.1, n, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511 (base 7) to base 10.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 - r + 3. Let y(z) = 14*z**3 + z**2 - 6*z + 12. Let b(i) = -9*a(i) + 2*y(i). Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*t + 49, 5*t + 14 - 61 = -w. Let p = 18 - 11. Solve w*b = 1 + p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560873.\nAnswer: 560873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10242 (base 6) to base 13.\nAnswer: -833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 + 340 = -123*l - 169*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 3, 0, -4302?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42289 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s + 661 - 9*s - 18*s - 661 + 43*s.\nAnswer: 55*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 38472289*b\/6 + 12824097.\nAnswer: -(b - 38472291)*(b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - 33. Let z be (4\/(-6))\/(10\/v). Solve 0 = -0*i + z*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2778269975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(42)\/(sqrt(60)\/(sqrt(90) - sqrt(10))) + 1 - (3 + sqrt(28)\/(2*(sqrt(4) + sqrt(64)) - sqrt(4)))) + -2.\nAnswer: -6 + 17*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9228683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*f)*(3715*f - 3717*f + 99 + 5) as h*f**2 + b*f + y and give b.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10368261 is divided by 254.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1)*(-7634 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4065 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 446235 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 752 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 prob of picking 1 s, 1 z, 1 h, and 1 o when four letters picked without replacement from {s: 1, o: 3, z: 3, i: 1, h: 6, p: 6}.\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -578781 and -0.4.\nAnswer: -578781.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24881 - -34908. Let x = g - 4589. Suppose 0 = 5*r + 1962 + x. What is r rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3103021001 (base 4) to base 5.\nAnswer: 210133313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -936614 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199948136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(194*x**4 - 983*x**3 + 983*x**3).\nAnswer: -194*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517280487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 - 6*r**2 - 4*r + 2. Let t be o(-4). Does 10 divide 2\/(-5) - (-10570)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/6)\/(1\/54). Let n be (-48)\/c + 4\/18. Let t(l) = 3*l**2 - 4*l + 3. Calculate t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 - 390*i**3 + 6600*i**2 = 0 for i.\nAnswer: 0, 20, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sscs when four letters picked without replacement from cssccscc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7386257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86\/3 - 29. Let x = 139\/12 - 34\/3. Let j = -5 + 5.4. What is the nearest to x in -0.3, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.262699101 to four decimal places.\nAnswer: 0.2627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z - 5. Let r(y) = 6*y + 6. Calculate -6*j(q) - 5*r(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 166450 and 166394 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Suppose 4*d - 3 = -3*z, 184*d - 189*d - 2*z - 5 = 0. What is the smallest value in f, 9\/11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*a - 44, -3*a + 1148*b = 1151*b + 39 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2*w**2 + p**2 - 767*p*w**2 + 44*p*w + 2*w**2 - w wrt w?\nAnswer: 4*p**2 - 1534*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 58385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3866 + 6166. Suppose m + 2850 = 5*y - 4*m, 4*y + m - g = 0. Suppose -454 = -4*b + y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.5. Let j = -0.05 - -0.45. Let d = j - 0.8. Sort 4, m, d in decreasing order.\nAnswer: 4, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 594.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + h**3 + 2*h**3)*(-63*h**2 - 51*h**2 + 101*h**2 + 1).\nAnswer: -52*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let w be d(-2). Suppose 2*s + 3*s = -w*h + 703, 4*h - 433 = -3*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2604344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 5\/3 (c) -4 (d) -0.04 (e) 10770\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 20*q - 1843 = 82*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**3 - 8*t**2 + 8. Let g(w) = w + 2. Let o be (12\/(-7))\/((-4)\/14). Let z be g(o). Let l(b) = 3*b**3 + 5*b**2 - 5. What is z*l(m) + 5*j(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 + 378*i**2 - i**4 - 378*i**2 + (2*i - i + i)*(5*i**4 - 3*i**4 + 0*i**4).\nAnswer: 9*i**5 - i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739796.\nAnswer: 2, 184949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -137def (base 16) to base 10\nAnswer: -1277423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 12 + 4. Let g = 394.4 - 394. Is g greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3601*k**3 - 5*k**2 - 5. Let m(d) = 866041*d**3 - 1202*d**2 - 1202. What is 5*m(v) - 1202*r(v)?\nAnswer: 1803*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.556 - -80.556. Let g = 82 - t. Which is the biggest value? (a) 1\/39 (b) 2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 21*g = -18*g + 728000. List the prime factors of g.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10486*i**3 + 56 - 56 - 10432*i**3.\nAnswer: 54*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16845 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/4250)\/(5\/17).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22401 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 82*l - 29. Calculate the smallest common multiple of 459 and x(-28).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*g + 53 = 803*g + a, 3*g + 2*g + a - 29 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bstsbssttssuftsstfss. What is prob of sequence sb?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2940 and -109\/5157628.\nAnswer: 541550940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 n, and 1 f when four letters picked without replacement from {f: 1, n: 1, y: 2, b: 1, q: 3, i: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a + 3*j + 1 = 0, -4*j + 28 = -2*a. Let y be 10 + -1 + a + 1. Solve 4*g = g - y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6171*q**3*w**2 + 12*q**3 + 96*w wrt w.\nAnswer: -12342*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3 + 7. Suppose 4*k + 5*b = 19, 0*k - y*k - 5*b = -17. Suppose 3*d + k = 19. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**3 + 16*f**3 + 6*f**3 + 8*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82391\/14 - 5885. Which is the closest to -2? (a) 3 (b) 5 (c) l (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = m + 3. Suppose -m*j + 35386 = -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 4264\/6396*2\/((-116)\/3)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 13*j + 1. Let r be b(5). Let d be 9 + -5 - r\/(-4). Let a be 5\/2 + (-2)\/(-4). Solve -f + 13 = -3*s, 3*s + a*f = -f - d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (3 + 2)) + 2. Let l be (w\/3)\/(5\/(-45)). Suppose -l*a + 11 = -10. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23933 - -12?\nAnswer: -23921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 20210202?\nAnswer: -20210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 1\/6*w**3 + 1 + 1\/20*w**5 - 1\/4*w**4 - w + 2*w**2. Let r(h) be the first derivative of s(h). Give r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.9 * 5.\nAnswer: 94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 24, 40, 895?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 9*o**2 - 10*o + 5. Let t be p(10). Factor -t - 9 + 32*m + 12 - 128*m**2.\nAnswer: -2*(8*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 959217?\nAnswer: 14388255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/209 and 59\/264.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2768*h - 2765*h + 101 - 21)*(1 + 3 - 2)*(-3*h - h + 2*h) to the form u + s*h**2 + z*h and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1587 by -19.\nAnswer: -1587\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859 - 2*m**3 + 5*m**3 - 859 - 7*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lulddldqqumurmrurlmm. Give prob of picking 1 m and 1 u.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 40\/(-12))*-42. Calculate the smallest common multiple of -1*(-15 + -6*(-2)\/3) and 80\/z*(1 - -6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*x - 10*x - 19*x - 4*x + 3*x - 2*x + (-7 + 4*x + 7)*(-3 + 1 + 3) + 6*x - 2*x - 2*x.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/((-2)\/(-9) + 28\/441). Let d = 67 + q. Calculate the common denominator of -33\/16 and 1 + (-14)\/d*(-27)\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - 10 + 5*d**3 + 1537*d + 1536*d + 9 - 3076*d as u + k*d + b*d**3 + s*d**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 847 and 4179.\nAnswer: 505659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 19*x**3\/3 + 2*x**2 - 5*x + 62. Calculate the remainder when s(-2) is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*w - 0*f + 170, 2*f = w - 50. Let x = w - 24. Calculate the remainder when x is divided by (-54)\/(-8) - 2\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102085475 rounded to the nearest 100000?\nAnswer: -102100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 - 72. Let i = h - 21.4. Round i to 0 decimal places.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) - (1 - 1612\/91). What is the greatest common divisor of 289 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 82038738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3290 is divided by 322.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -26*p - 2. Suppose -7 = 6*v + 5. Let l be g(v). Suppose 0 = 3*z - l - 67. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-20) - (-1186)\/8. Let n = -86 + v. Is 2 + 3\/(6\/n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 - 96 = -64*o + 108 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 9. Let d be k(-6). Let b(j) = j**3 - j**2 + 2*j - 2. What is the units digit of b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) 0.1 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14348 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 25, -60 = -5*w + 3*a + 35. Suppose -3*m = -3*p - 91 + w, -m = p - 33. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(12)*-2 + sqrt(12)))\/sqrt(6).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 5*p = 118*p - 12100. Suppose 3*x - 97 = 26. Calculate the remainder when p is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 2 k when four letters picked without replacement from bkkkbkgbqbkkkkk?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(396) - 2*(sqrt(396) - (sqrt(396) + -1)**2) - 1*-1*sqrt(396))) + 0.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*p + 30, 0 = 5*p - 2*a - 2*a + 48. Let t = p - -18. Solve -2*k - t = 2*r, -2*k - 3*r = 3*k + 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113793237149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p + 9*p + 631 = -557 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54961 is divided by 6869.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432472 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1213 + -876. Suppose -u = -g - 150. Calculate the greatest common factor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvfiiftv. What is prob of sequence vvff?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428 - 2335 - (49 + -49 + (-1 + 1 - 0))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((-3 - -2) + 1). Let d be (v\/5)\/((-5)\/25). Solve -11 - 13 = -2*r + d*u, -2*u - 18 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452425.\nAnswer: 5, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 363 = -4*j + d, 4*j + 54 = 2*j + 4*d - 12 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 1. Let x(v) = 7*v**4 - 3*v**3 - 2*v**2 - v + 1. Let t(z) = -m(z) - x(z). Find the third derivative of t(w) wrt w.\nAnswer: -168*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45922201?\nAnswer: 13, 271729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by (-8)\/(-6) + (-52)\/(-24) - (-1047)\/6?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**3 + 13*s**3 + s**3 + 11*s**3.\nAnswer: 41*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1651 - -1655. Solve r*q - 11 = -l, -l = 2*q - 5 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 0*c + 1\/2*c**2 + 1\/3*c**3 + 1. What is the units digit of q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.33 to the nearest integer.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2246 = 2*m - 249, 998 = 2*b - 3*m. Let h = b - 273. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (441\/14)\/21*(3 - 1). Suppose 2*v + 3*b = -2, -4*v - 3*b - 2 = 2*b. Solve 3*h = -3, v*h + 3 - 1 = -t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 + 223. List the prime factors of c.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*c - 111 = -c, -4*q - 2*c + 138 = 0. Let t = q + -16. What is the third derivative of -34*d**3 + 17*d**3 + t*d**3 + d**2 + 5*d**2 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4354294 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*r = -374*r + 39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 + (-6)\/(-5). Let b(f) = 14*f**3 - f**2 + 2*f - 1. Let q be b(c). What is the greatest common factor of q and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 742*k + 20. Let y(t) = 2*t. Determine y(w(l)).\nAnswer: 1484*l + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/645 and -51\/107138069.\nAnswer: 1607071035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -39*m**5 - 13*m**4 - 424*m - 13. Let l(g) = -10*g**5 - 3*g**4 - 106*g - 3. Let y(a) = -26*l(a) + 6*o(a). What is the second derivative of y(w) wrt w?\nAnswer: 520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1846 - -1271?\nAnswer: 3227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*126\/(-3003)*11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = 3*w. Suppose k = 6 + w. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 1, n: 1, s: 2}. What is prob of sequence snd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-10)\/(-5))*1\/(((-51)\/(-90))\/17)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*j + i - 50, i - 57 = 4*j. Let n(g) = g**3 + 14*g**2 - 24*g - 7. Does 20 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2173*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 28. Let l(q) = -q**2. Calculate l(f(z)).\nAnswer: -4*z**2 - 112*z - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + (-2 + sqrt(180))*-6 - sqrt(180).\nAnswer: -36*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 11:01 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/1438074 and -145\/21384.\nAnswer: 5752296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 543677089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1415130371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 + 1474 = 362*x + 89*x. Let j = -22 + 8. Let v be 6\/(-21) - 4\/j. Solve v = -x*m - m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131520888?\nAnswer: 2, 3, 19, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*z - 0, 3*x + 4*z - 248 = 0. Solve -87*p - 2 = -x*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -208 and -293 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20635093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 58560875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 18 = 125*u - 121*u, 5*t - 23 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x\/(x**(2\/3)\/x))**(-4\/7)*(x\/((x\/x**2)\/x*x))\/(x\/x**(-2\/7)))\/(x**(-1\/5)*x**(1\/2))**(-8\/11) assuming x is positive.\nAnswer: x**(-1783\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-611)\/7943 + 183\/13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6210 - 1233290.96.\nAnswer: -1227080.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {c: 8, f: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 21*n**2 + 2*n - 2. Let z(w) = -86*w**2 - 8*w + 8. What is -9*j(q) - 2*z(q)?\nAnswer: -17*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 7*u**2 - 2*u - 4. Let g(y) = -5*y**3 - 15*y**2 - 5*y - 9. Let h(d) = d**3 - 7*d**2 + 10*d - 3. Let l be h(3). Determine l*s(z) + 4*g(z).\nAnswer: -2*z**3 + 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*l - 92*l + 4761 = 0. Let s = l + -526. Factor -8\/13 + 16\/13*m + 2\/13*m**s - 10\/13*m**2.\nAnswer: 2*(m - 2)**2*(m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*z - d + 345, -z = 4*d - 185. Let y(j) = -18*j + 1. Let k be y(4). Let q = k + z. Is q a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**3 + 2*r - 2*r)*(-7 - 6 + 3) + (-3 + 3 - r**2)*(0 + 0 + 2*r) to x*r**3 + c + y*r**2 + v*r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(4 + 16\/(-2) - -5). Let q = -5 - i. Solve q*s = b + 1, 4*s + 13 - 1 = 4*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -292871 + -ab?\nAnswer: -292960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2839 - 18*p + 2833 + 18*p + 63*p to the form s + q*p and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 4*o**2 - 5*o + 2. Let p be n(-5). Suppose -16 = g - p*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10348*o + 2328369. Determine x(225).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1 + 7*h - h**3 - 3 + 3*h**2 - 5*h. Let y(f) = -f**2 + f - 1. Let b(j) = -r(j) - y(j). Is b(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*((sqrt(95) - 2*sqrt(95))*-2 + sqrt(95) + sqrt(95) + sqrt(95)))\/(-6*(1*sqrt(10)\/sqrt(2) + sqrt(5) - sqrt(5)))*-6)**2.\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 146789791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -58a9?\nAnswer: 58a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(((w\/(w*w**(-6\/7)))\/w)\/w*w*w))\/(w*w**(-6)\/w*w))\/(w**(1\/5))**(-2\/49))**6 assuming w is positive.\nAnswer: w**(7572\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -243696.\nAnswer: -731088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1944 is divided by 161?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65099, -67504, -69913, -72326, -74743, -77164, -79589?\n\"Answer: -2*r**2 - 2399*r - 62698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8784 and 44?\nAnswer: 96624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -7. Suppose -4*l = y + i - 4, 2*y + 18 = 4*l. Suppose 4*f + 3*m - 176 = 0, l*f - m - 88 = -0*f. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -559, 3\/2, 6\/17 in descending order.\nAnswer: 3\/2, 1, 6\/17, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -133*a + 1315. Give z(11).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1\/2 (b) 183\/38 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 6 + 4*q + 6*q - 9*q.\nAnswer: 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 84767 divided by -5\nAnswer: -84767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, -95, -613, -1633, -3323, -5851?\nAnswer: -9385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4 - (3 - -3)). Suppose -5*m = p - 57, -4*m + 40 = -2*p - u*p. Calculate the greatest common factor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 1 = q, 2*l - 5*q - 9 = 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.274842 nanograms to kilograms.\nAnswer: 0.000000000007274842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/5 - 119796*q\/5 + 1006992 = 0.\nAnswer: -59940, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, -70, -260, -516, -832, -1202, -1620?\nAnswer: -2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y - 13540 = -5*m, -2*y = 2*m - 5432. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 187*l - 2 + 198*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209226841?\nAnswer: 1993, 606737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 15242360?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.1 - 10.5. What is the second biggest value in -2\/15, 15, -2, z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 69636?\nAnswer: 626724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrrllrmlrrlr. Give prob of sequence lrr.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:53 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3638 + 3650. Let a be (-27)\/42 + 2\/14. Let z = 2.03 - 0.03. Sort a, z, u in decreasing order.\nAnswer: u, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.56*17.2\nAnswer: 9.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 11*b - 6. Let f be v(-10). Suppose w + f*w + 4*q = 17193, 0 = -4*w - 2*q + 13752. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 558*g + 1. Let h be q(3). Let r(o) = -o**3 + 21*o**2 + 49*o + 36. Let a be r(23). What is the common denominator of 3\/a*h\/10 and -67\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -547 - -549. Which is the nearest to 1.1? (a) 4 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10 + 8 + -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3335948113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 4. Suppose -16 = -16*z + 12*z. Suppose -3*y = -6*y + 2*b + 17, z*b = 20. What is the least common multiple of o(5) and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17546 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-40) - 21\/35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -12 - (-6 - -11)) + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18136ab (base 14) to base 4.\nAnswer: 231110122213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 92\/(-16))\/(6\/(-24)). Calculate the lowest common multiple of 20 and 19 + z - (-2*1 + 6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*b - b + 16 = 0, 2*k = -5*b - 24. Let w = k - -6. Let t(x) = 3*x - 1 - w + 6 - 4. Calculate t(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a century in years?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10719 or 1\/2?\nAnswer: 10719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r - 4. Let w be n(3). Let q(g) = 3*g**2 + 13*g - 12. Suppose 5*d + 2 = 7. Let y be q(d). Solve y*x - 14 = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -433340440 (base 5) in base 14?\nAnswer: -364413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:17 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:42 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1014*m**3 + 4*m**2 + m - 2. Let q be s(-2). Let r be q\/(-1 - (-14)\/20). Suppose 2*i - i = r. What is i rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2629, -10500, -23593, -41902, -65421, -94144, -128065?\nAnswer: -167178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60800)\/2850 + 2\/(4\/22).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:49 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3169*p**2. Let i(m) = -68*m. Determine i(v(n)).\nAnswer: 215492*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 228*i - 13708. Calculate p(60).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 990 = -23*p. Suppose 0 = -5*y + 3*x + 1590, y + 3*x - 6*x - p = 0. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6403351 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: Suppose b = 4*j - 0*b - 365, 4*j - 380 = -4*b. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -244170 to the nearest one thousand.\nAnswer: -244000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.61 + 10.9. Let n = y - -0.676. Let z = -3.966 + n. What is the smallest value in z, -0.2, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -17 - 6) + 4 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261546 is divided by 261539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*f + 26*f + 27*f + 31*f + 29*f + 31*f - 174*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -18 + -125 + 135\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63969348 a multiple of 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6\/36821 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -280*p**2 - 200762*p - 1431. Give b(-717).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11191410 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: Two letters picked without replacement from {p: 1, y: 3, g: 2, e: 1}. Give prob of picking 1 p and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 13*t**2 + 19*t - 52. What is the remainder when 1262 is divided by x(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.02, -5, -2, -12?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -0.4, -39 in decreasing order.\nAnswer: 166, -0.4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*x**3 - 503486*l**3*x**2 + 2*l**2*x**3 + 2*l**2*x**2 + 5838*l - 14 wrt l?\nAnswer: -6*x**3 - 3020916*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 15*d - 22. Let z be r(-17). Let h = 0.36 + -13.36. Let i = h + 12.7. Which is the closest to 0? (a) 0.1 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2219554 by 194.\nAnswer: 11441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -24416635\nAnswer: -4\/24416635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 254675 + -42?\nAnswer: 254633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10325)\/(-150) + (-3)\/(-18) is divided by 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -3*l - 363. Let v = -96 - l. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 940*f**3*u**3 + f**3*u - f**2*u**5 + 72*f**2*u**2 - 2*f**2*u - 23*f*u**2 wrt u?\nAnswer: 5640*f**3 - 60*f**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3658424285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by 9765.\nAnswer: 37\/3255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66138 + -1072?\nAnswer: 65076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**3\/3 - 5*h**2\/2 + 4*h + 51. Let m(f) = 2*f**3 + 3*f**2 - 1. Let x be m(-2). Calculate s(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1127818 and 8.\nAnswer: 4511272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -89. Suppose 8*y = 4*y + n. Suppose 0 = -y*f + 3753 + 6606. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365 divided by 14?\nAnswer: 195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 8*i**2 + 11*i - 7. Let l be w(10). What is the common denominator of -17\/18 and l\/12 + 2\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003226456476 to seven dps.\nAnswer: -0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 283, 282, 281, 280, 279?\n\"Answer: -p + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*z**2 - 45 - 11*z - 14*z + 46 wrt z.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -4*s**5\/5 + 16*s**4\/3 + 25*s. What is the third derivative of q(t) wrt t?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258 times 28\nAnswer: 7224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 - 2*i + 5. Let f(y) = -y**2. Let l(a) = -5*f(a) - r(a). Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 14507120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 45*x**2\/2 - 62. Let k(i) = -23*i. Let f(t) = 5*k(t) + 3*o(t). Let z(n) = -4*n. Give z(f(l)).\nAnswer: -80*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 11466.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*c - 1005*c**2 + 1007*c**2 - 43*c + 159*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - 324\/42. Let v(h) = -h**2 - 8*h + 11. Suppose 0 = 3*y - 6*y + 27. What is the lowest common multiple of v(u) and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1320918*q + 101909.\nAnswer: -1320918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 3*j**5\/5 + j**4\/4 - j**3\/6 - 5*j**2\/2 - j + 7. Is b(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 5*b. Let n be g(-4). List the prime factors of 38\/n*(1 + -7).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27129 + -18800. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0*b**2 + 2*b + b**2 + 11*b**3 - 1 - 3*b**2. Calculate the remainder when 19 is divided by a(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.194 to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91618, 91621, 91630, 91645?\nAnswer: 91666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/120)\/((-2014)\/3816 + 8\/(-36))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*d - 5*s, 5*d - 19*s = -20*s + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -3 (c) 17 (d) -9064 (e) 441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-15))\/((-23)\/(-552)). Solve 5*h - 3*h - z = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.6 - 68.6. Which is the closest to 0.1? (a) 3 (b) 5 (c) -2\/15 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1473811*b + 1473811*b - 5*b**2. Let g(d) = 59*d**2 - 7*d. Let k(r) = 29*r**2 - 3*r. Let f(x) = 6*g(x) - 14*k(x). What is i(f(a))?\nAnswer: -13520*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5118423043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 107.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 41 - 1 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 4. Let g(q) = q**2 + 8*q + 6. Let o(j) = -j**2 - 9*j - 6. Let d(t) = 6*g(t) + 5*o(t). Let a be d(p). Solve 3*m = -2*s + m - a, 2*s + 4 = 4*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/(-5) + 5)\/(-1 + 0). Factor 8\/5*f**4 - 16\/5*f**3 + m + 2*f**2 - 2\/5*f.\nAnswer: 2*f*(f - 1)*(2*f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 812 = -26. Let o = -227 - g. Calculate the highest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 655 = -35. Solve q*k = 157*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 118. Let p = y + -3. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3975909 = -3975909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*7\/(-12)*685\/1370.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 6*l**4 - 4 + 2 - l**3 + 0*l - 4*l**4 to the form v*l**4 + o*l**3 + x*l**2 + i + b*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3545 (base 6) to base 16.\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -79 * -15.696\nAnswer: 1239.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 2*p**2 - p - 2. Let g be z(3). Solve 0*y = g*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -278 in 2\/9, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 14. Let w be q(9). Suppose 3*p + 0*l = -w*l - 623988, -3*p + 5*l - 624015 = 0. Round p to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 681, 1016, 1349, 1680, 2009, 2336?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -45. Let z = -5.08 - -0.08. Let g = 4.1522 - 0.1522. What is the fourth smallest value in g, n, z, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2050*l - 75860. Determine q(-38).\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2 + 6\/5*r**5 + 1\/6*r**6 + 16\/3*r**3 + 2*r + 9\/2*r**2 + 7\/2*r**4. Factor v(d).\nAnswer: (d + 1)**4*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1262\/7 (c) -1.3 (d) 1107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 9, x: 1}. What is prob of picking 1 x and 1 m?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - (sqrt(600) + sqrt(600) + (sqrt(600) - sqrt(600)*3) + sqrt(600) + sqrt(600))*-2)*3)\/(-1*sqrt(18) - (sqrt(2) + 6*sqrt(162))).\nAnswer: -75*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j**2 + 29. Suppose -6*g - 6 = -9*g. Let x(a) = -2*a**2 + 7. Let r(l) = g*k(l) - 9*x(l). What is the first derivative of r(c) wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 21*o**2 - 83*o + 97. Determine p(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -0.1, 0.1 in decreasing order.\nAnswer: 0.1, -0.1, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 + 166 - 501 + 33*b + 169.\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6813 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 7, u: 12}. Give prob of sequence mmud.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/7)*i*i**11*i**(1\/3)\/(i\/(i*i*i\/((i**(-22)\/i)\/i))) assuming i is positive.\nAnswer: i**(799\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*l + 59, -3*m - 2*l - 14 = -4*m. Let q(b) = 2*b**2 - 4*b - 1. Calculate the remainder when m is divided by q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52679 or -52683?\nAnswer: -52679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2. Let a(g) be the third derivative of -g**5\/30 + 5*g**2. What is n(a(y))?\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(156) + (sqrt(156) - (sqrt(156) + sqrt(156) + -3*2*sqrt(156))))\/(3*(sqrt(768)*2 - sqrt(768))) + -4)**2.\nAnswer: -sqrt(13)\/3 + 9229\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 42*w = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 619\/5. Suppose -2 = 4*w - 2*w. Is m bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.29 + 0.29. Let l = -5 - m. What is the biggest value in l, 0, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-9)*1080\/480.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 2) + -8 + 4. Solve o + 2*n + 2 - 14 = 0, -4*o + q*n = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268.7 + 268.7. What is the closest to n in 0.3, 3, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82876777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 160 = -3*s, -s - 210 = 4*s + 3*u. Let t = 48 + s. Solve t*z + 0*z = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 8, n: 1, d: 1, p: 9}. What is prob of sequence odoo?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 136 + 2240*l.\nAnswer: 2240*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7542479 milligrams?\nAnswer: 754247.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*r**2*t*u**4 + 2*r**2*t*u + 2*r**2 + 527*r*t*u**3 - 237*r*u - 57*t*u - u wrt u.\nAnswer: -1140*r**2*t*u**2 + 3162*r*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:49 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -22724.2848\nAnswer: -45448.5696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/6 (b) -61610 (c) 0.314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 - 31*o**2 + 19*o**6 - o**6 wrt o.\nAnswer: 1920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*a - 98*a + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 - 9 - -1 - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 29 + 21 + 3*x**2 in the form g*x + l*x**2 + v and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18213 times 1\nAnswer: 18213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -973000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.00338924 rounded to two dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:18 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 439633 + 20*((-26)\/4 - -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n\/((n*n*n**(2\/125)*n)\/n)))\/n*(n*n**(2\/73))\/n*n)**(1\/10) assuming n is positive.\nAnswer: n**(27771\/91250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -5*o - 5*z, 249 + 11 = 5*o - 3*z. Let n = -29 - -43. Let c = o + n. Calculate the highest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66054.\nAnswer: 2, 3, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 - 34?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 308870.\nAnswer: 308870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 1410, 3108, 5486?\nAnswer: 8544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 930901511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554185059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7*(72\/9)\/24?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7196 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120212201210 (base 3) to base 16.\nAnswer: -1d18b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*k - 10956, -k + 4*k = 2*q - 10961. Let a = -3000 - -235. Let c = q + a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-3) + -2 + (-14)\/(-21). Let r be 1\/(-6) - 0\/2. What is the smallest value in -2, i, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53625 by 325.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 504, 505, 506, 507, 508?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + y - 57, 29*t - 24*t + 3*y = 91. Solve 5*d - d = t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 2*n**3 - 11*n**3 + n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/2 + 19*g\/2 + 17 = 0. Calculate g.\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*u + 14. Let j = -4 + u. Suppose -2*k - 6 = -j*f, -3*f - 4 = -5*f - 3*k. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*-3*3\/(-18). Suppose 0 = -l*i - 4*i + 892. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7794106423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27270)\/(-2525))\/((-16)\/10).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 10 + -6 - -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 201 = -33. Solve 3*n - p = -18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 + -41)\/(2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*-16 - (1 - 7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -2. Suppose x = -2*h + 12, j*h + 52 = 5*x + 6. Solve -x = -5*q - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 10462027.\nAnswer: -2\/10462027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llrlzlsszllhz. Give prob of picking 1 s, 1 l, and 1 h.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**4\/12 - 5*l**3\/2 + 3*l**2. Does 3 divide g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 + -208. Which is the smallest value? (a) 1.4 (b) -5 (c) -0.3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 5*v**2\/2 + 6*v - 299. Give s(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let t(d) = -1. Let j(w) = 17*w + 40. Let h(y) = j(y) + 5*t(y). Let f(i) = 3*i - 1. Let v(g) = 6*f(g) - h(g). Give s(v(l)).\nAnswer: 2*l**2 - 164*l + 3362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 74 - 68 = 0. Let y be (-12)\/(-15)*5\/l. What is the third smallest value in y, 1\/33, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-3))\/(-4 + 33\/9). Solve -1 = i*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*m + 163*m - 20 = 0. Suppose -4*i - 898 = -5*q, -q - m*i + 113 = -84. What are the prime factors of q?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 + 2458?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-1 + 12 - 8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4057?\nAnswer: 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002681 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -134. Let i = t + 147. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60315 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*w = 6*i - 1657, -i = -2*w - 337. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -182935 (b) 4 (c) 2\/3 (d) 0 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 513\/20 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqfdffddifiiififiz. Give prob of picking 1 q and 1 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32896.4 millilitres to litres.\nAnswer: 32.8964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4 + 48*i + 5*i + 2 - 11*i. Let y(x) = -x**2. Give y(j(p)).\nAnswer: -1764*p**2 + 168*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (3 + (sqrt(136) + (-2*sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136))\/sqrt(8) + (sqrt(102)*2)\/sqrt(6) - (sqrt(425) + 5 + -5*sqrt(425))))*2)**2.\nAnswer: 32912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5084 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 14887 divided by 340?\nAnswer: 14887\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = -32*d + 16*d. Let s be (-56)\/d*4\/(-48). Sort -3, s, 1\/4, 2 in ascending order.\nAnswer: -3, s, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*h - 6 = 0, 3*h - 9 = -p + 4*p. Suppose -b + p = -2. Suppose 3*l = -15, l + 3 = -3*s + b*s. What is the least common multiple of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967697 a multiple of 933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrzrgrrrrzrrrkrrk. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 55*n**2 + 102*n - 1961. Determine l(27).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-9 - (11 - 29)) + (-4 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -11263.77?\nAnswer: -11263.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.84487.\nAnswer: 3.37948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - h**2 + 5*h. Let d(r) be the first derivative of 4*r**2 - 15. Calculate d(l(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-20)\/2)\/(1*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. List the prime factors of -1*-6*(g - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -5. Suppose 0*i + 142 = 2*i. Let t = i + -68. Sort 0, a, t in descending order.\nAnswer: a, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 8 + 6)*(v + 0*v + v)*(-2 - 2 + 5) + (-2 + 2 + 5)*(3 - 3 - v) to n*v + i and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63443, 253906, 571313, 1015640, 1586863, 2284958, 3109901, 4061668?\nAnswer: 5140235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362976584, -725953167, -1088929750, -1451906333?\nAnswer: -1814882916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.63 - -0.23. What is the nearest to -0.4 in f, -2\/9, 2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 9 - 0. Let k be 6\/a - (3 + -3). Suppose -2*n = k*n + 4. Which is smaller: n or 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5138 + -9563. Let z = m - -35497\/8. Calculate the common denominator of z and 0 + -65*(-1)\/(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*3*1866\/18 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 8, 3 = -3*q + 4*r - 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2 - 9*q - 43. Let m be n(-5). Suppose 0 = -2*x - x - 12. Is 8 a factor of m\/(-15)*(-30)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222221022 (base 3) to base 8.\nAnswer: 163173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/172)\/(4\/((-4)\/3)*-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20263 + -116.\nAnswer: -20379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 - 4) - (3 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2718388 is divided by 679595.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-10))\/(3\/(-4)). Suppose 0 = -r - 3*n + 6*n - 15, n + 11 = -5*r. What is the closest to m in 2, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 11. Let l be (-5)\/2 - (1 + 2\/(-4)). Let k be c(l). Suppose k*d + 1398 = 10*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3 + 364870*c**2 - 147216*c + 2 wrt c?\nAnswer: 24*c + 729740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.2 - -12. Let h = 285 + -1998\/7. Which is the closest to 1\/4? (a) v (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001048827 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 + j**3 + 5*j**2 + 3*j = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let v(k) = 9*k**2 + 2*k + 7. Let q(d) = v(d) + 4*y(d). Let l be q(2). Let j = l - 24. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.258637 to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**5*q))\/q**(-10)*q**(2\/37)*q**(-3\/2) assuming q is positive.\nAnswer: q**(263\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a = -48. Let t = 20 - a. Suppose 3*l = -t*i + 19, 5*l - 2*i + 4*i - 13 = 0. Which is greater: -4\/9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.3 (b) 2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/11))\/k*k*k*k**(-3\/7)*(k*k**1)**(-14\/5))\/(k**6\/k**(-6))**(-14\/5) assuming k is positive.\nAnswer: k**(2270\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202169 rounded to the nearest one thousand?\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4982299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 28. Suppose -4*h = -k - g, -2*h = -5*h + 2*k + 2. Let a be (h\/(-6))\/(7\/(-21)). Calculate the greatest common factor of 10 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {v: 1, b: 2, d: 1, j: 1, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2850 or 505?\nAnswer: 2850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011100 (base 2) in base 15?\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 488, 0.18, 0.3 in descending order.\nAnswer: 488, 0.3, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - x - 2. Let w be q(-2). Let a(t) = 13*t + 94. Let h be a(w). What is the highest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b6a19 (base 13) in base 2?\nAnswer: 1110000000001010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13269 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.144063, -10\/3, -0.2, 5?\nAnswer: 0.144063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29321300 greater than or equal to 29321300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1297885, -2596486, -3895087, -5193688, -6492289?\n\"Answer: -1298601*h + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 150c (base 16) to base 10\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5504, 5898, 6290, 6680, 7068, 7454?\nAnswer: 7838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -9077, -4, 7, 5 in decreasing order.\nAnswer: 7, 5, 3, 2, -4, -9077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 147141712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:48 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 29. Calculate the greatest common factor of 209 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -3.319.\nAnswer: -0.3319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 145 = -75. Solve -c - j = -4*n, c - 10 = -8*n + 5*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3855540 smaller than -3855512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -61?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129 + (196\/4)\/7. Let d be v\/80 - (-1)\/(-2). Factor -4\/5*k - 2\/5*k**2 + d.\nAnswer: -2*(k - 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-1480.27.\nAnswer: 23684.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x + 396. Let d be z(49). Solve -3 = d*h - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39348, -39345, -39340, -39333, -39324, -39313, -39300?\n\"Answer: a**2 - 39349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*c - c**3 - 157*c - 12 - 2*c**3 + 312*c + c**2 in the form b + a*c**3 + k*c + s*c**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162023 + -75?\nAnswer: -162120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 28 = 7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 + -28 - 21) + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-4) - (-9)\/(-12). Suppose s*k - 31 + 1 = 0. Let y be 144\/k + 2\/5. Solve 0 = -5*d + 10 + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*p**3 + 39*p**2 + 19*p - 10.\nAnswer: -(2*p - 5)*(3*p - 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + -1 + (2304\/20)\/12. Let p = u + -26\/5. Let z = 2.9 - 3. What is the second biggest value in z, -0.3, 0.2, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 146 = 3*a, -4*y - 40*a = -45*a - 158. Is 28 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485 - 494 = 3*g, 0 = -3*j - 3*g - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5*v - v)*(934*v**2 + 1293*v**2 - 1402*v**2).\nAnswer: 825*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -331 - 10*x**3 + 321 - 4*x + 6*x**2 + 9*x**3. Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 690, -0.112?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggh when four letters picked without replacement from ghghghgghghhg.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 16 + (-89 - -17 - 20 - 14).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) 2\/13 (d) 14 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - -74. Let x = 2 - m. Let u = 13 - x. Let t(d) = d + 1. Let p(b) = -3*b - 2. Calculate u*p(f) + t(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 734*s**2\/3 - 22570*s\/3 - 7442\/3.\nAnswer: -2*(s + 61)**2*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let x = -0.46 - -0.06. Let g = 5.4 + x. What is the biggest value in 2\/15, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*i**3\/5 + 1099*i**2\/5 - 2046*i\/5.\nAnswer: -i*(i - 2)*(38*i - 1023)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqzqzzz. Give prob of sequence qzq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:51 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + s + s - 12, j + 18 = 4*s. Suppose g + 3*a - 73 = 0, -j*a = -3*g + 241 - 33. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -647, 15410, 3 in descending order.\nAnswer: 15410, 3, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*z - c + 17, -5*c + 9 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 m when three letters picked without replacement from msfsfvs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 1, c: 3}. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*n + 215*n = -45859 - 12941 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -866 - 2*k + 866. Let v(w) = -6*w. Let a(n) = -8*t(n) + 3*v(n). Determine a(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116991\/14 - -4 - 9\/6.\nAnswer: 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f + 21*f + 10*f + 88*f**2.\nAnswer: 88*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 288\/166265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*q - 202 + 1461 = 0, 3*d + 4*q = 747. Calculate the greatest common divisor of 138 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 54*m - 43. Is j(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 13*g**3 + 11*g**2\/2 + 22*g + 39. Let v be c(7). Suppose -8*s + v = 2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 6*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18254569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2679*u**4 + 72*u**2 - 5*u wrt u?\nAnswer: -64296*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -517, -1177, -2103, -3295?\nAnswer: -4753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -23*c - 262. Let n(a) = 21*a + 233. Let x(b) = 7*n(b) + 6*w(b). Determine x(-11).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.243 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 9*j + 23*j = 104 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/12)\/(12\/(-98568))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(16*n**2 - 97*n + 53*n + 1 + 45*n) as p*n + f + g*n**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Let o = -22.9 - -22. Let j = o + 0.9. What is the closest to -0.1 in i, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - 1)\/((-13)\/130). Calculate the greatest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8200.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388) + -5*sqrt(3388)*-1)**2 + 2 + 2 + sqrt(3388).\nAnswer: 22*sqrt(7) + 121972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9010 - 3818. What are the prime factors of q?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose 0 = -6*n + m*n + 8. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - -95. Suppose 126 = 3*t - 2*f, t = 4*t + 5*f - n. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 159371, 159407, 159459, 159521, 159587, 159651?\n\"Answer: -z**3 + 14*z**2 + z + 159357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -134241, -268463, -402685?\n\"Answer: -134222*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x - 28. Let g(c) = -30*c + 78. Let h(q) = -4*g(q) - 11*l(q). Give h(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1250581474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - d. Suppose -1 = -y - 5. Let k(c) = -c**3 - 4*c**2 - 2*c - 7. Let z be k(y). Determine v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -94 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000178512341 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3004577?\nAnswer: 271, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -14 + -2 + (3 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -599 + 598.999999823. Round b to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j = 34*j - 6. Let o be 8 - (-3)\/(-3)*j*-1. Find the second derivative of 26*c - o*c**2 + 4*c**2 + 2*c**2 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t**(1\/3)*t))\/t)**(-45)*(t**(-1\/3)\/t)**5)**(-3\/44))**(-9) assuming t is positive.\nAnswer: t**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 173187870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)\/o)**(-1\/22)*(o\/(o*o*o**(-2\/7)*o*o))**5*((o\/(o\/(o**(-1)*o))*o)\/((o**(-2\/17)\/o)\/o))**(26\/7) assuming o is positive.\nAnswer: o**(-10309\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-7))\/(-16)*-7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 43*j**2 - 301*j - 1498. Determine d(-5).\nAnswer: 1082","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1293 by 4.\nAnswer: 1293\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 0.08 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*z**5 - 3*z - 2?\nAnswer: 3300*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 14. Let j = i - -7. Let c = -16 + 11. Put -1, j, c in increasing order.\nAnswer: c, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**2*x - 46*c**2 - 1575*c*x**2 + 80 wrt x.\nAnswer: -8*c**2 - 3150*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15045528 + -6380229. Suppose 4*v - 41374701 - b = 0. What is v rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*m**2 - 4089*m + 4089*m + (-m + 0 + 0)*(2*m + 8 - 5 + 4) to v + c*m**2 + y*m and give c.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 13*m**4\/12 - 6*m**2 - 2*m - 29. Let c(f) be the first derivative of s(f). Differentiate c(j) with respect to j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, g: 1, k: 1, c: 4}. Give prob of picking 1 g and 1 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2 - (-18)\/8). Let r be (32 + p)\/(4\/2 + -1). What is the third derivative of 32*g**4 + 11*g**2 - r*g**4 + 12*g**2 wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3*i**2\/2 - 12. Let n(h) = -h**2. Calculate v(n(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(360) - (sqrt(360) - -3*(-3*sqrt(360) - sqrt(360))))\/sqrt(12))\/(-2*sqrt(120)\/sqrt(5)))**2*-2.\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-8) + 9)*(-91)\/21.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 8 + 8 + (0 + 1 - 4)*(-2 - 2 + 5))*((-4 + 1 + 2)*(4 - 1 - 2) + 1 - 3 + 1)*(-2 + 2 + 4*a) as c*a + i and give c.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 878503 and 2603?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1162008, 2324014, 3486020?\n\"Answer: 1162006*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3133 + 16775 = -718*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 - 185 = -13*a. Calculate the highest common factor of 288 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-9)\/6 + 2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47983682 to the nearest ten thousand.\nAnswer: 47980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = m + 2*m, 3*m - 2 = -5*w. Calculate the remainder when 55 is divided by 19*(3 - (m - -3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from qizyqzkikyymyzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003989734 to four dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 6*l - l)*(1 + 1 + 4) + (195*l + 40*l - 5*l)*(-3 - 2 + 9 + (-5 + 2 + 1)*(3 - 4 + 3) + 5 + 0 - 3) as t + q*l and give q.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgvvvwvv. Give prob of sequence gv.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 59\/2, 1\/15, 0.04 in decreasing order.\nAnswer: 59\/2, 1\/15, 0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 10:19 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*q + 0*q = 52, 5*q = 5*v - 55. Solve v*z = 43*z + 36 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 8 = 33. What is the nearest to 0.5 in -5, -3, -3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -335, -710, -1199, -1874, -2807, -4070, -5735?\n\"Answer: -12*j**3 + 15*j**2 - 336*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1266 or 1246?\nAnswer: 1266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120*-84.\nAnswer: -10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fed when three letters picked without replacement from {f: 1, t: 1, a: 1, d: 1, e: 2, b: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2533 (base 6) in base 10?\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y**2 + 5*y + 1. Let c be o(0). Find the common denominator of 6 + (-364)\/36 + c\/3 and 40\/23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 4629, 16642, 40025, 78570, 136069, 216314?\nAnswer: 323097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/102)\/(15\/(-21)*(-77)\/66)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21173903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 682, 691, 712, 751, 814, 907, 1036, 1207?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84922 minus 5?\nAnswer: -84927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1055*k - 330222. Calculate n(-313).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*g**3 + 23*a**2*g**2*q + 2*a**2*q + 2*a**2 + 3*a*g**3 - a*g**2*q - 371*a*g**2 + 3*a*q - g wrt a.\nAnswer: 2*g**3 + 46*g**2*q + 4*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k - k)*((-1 + 4 - 4)*(0 + 3 - 5) + 2 + 3 - 2).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365*h - 380*h + 743*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 12 - 92. Solve -a - 8 = o, a = -3*o - 0*a - g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58 and -1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*l = 69*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 - (-6*1 - -4). Let y = -2134 - -10637\/5. Is w greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 284689.4 years?\nAnswer: 284.6894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:29 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13057, -13044, -13043, -13060, -13101, -13172, -13279?\n\"Answer: -o**3 + 20*o - 13076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 4, 429, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(16*28\/(-6720)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + (-8 - (-7 + -1 + -189 + 190))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**4 + 880*m**3 - 14884*m**2 - 47120*m + 17328 = 0. What is m?\nAnswer: -3, 1\/3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kllw when four letters picked without replacement from {l: 4, w: 8, z: 2, k: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3924*v. Let m(y) = -357*y**2. Determine r(m(u)).\nAnswer: -1400868*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*w - 22, w + 18 = 3*v - w. Let a = -7 + v. What is the units digit of (-3 - a)*(-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119802616*l**4 - 242*l**2 - 196286 wrt l?\nAnswer: 2875262784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**3*x**2 + 72*v**3 + 8*v**2*x**2 - v**2 with respect to x.\nAnswer: 2*v**3*x + 16*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1396, 2906, 4416, 5926, 7436, 8946?\nAnswer: 10456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011185683 rounded to 7 decimal places?\nAnswer: -0.0001119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 34. Suppose 5*g - 29 = 3*g + 5*d, 26 = 3*g - 4*d. Let u(p) = p**3 + p**2 + 2*p. Let n be u(g). Is 3 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 32. Suppose -3*w - 70 = -n, -2*w - 9 = -n + 39. Calculate the lowest common multiple of 4 and f(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -1 - 2\/(-8). Let b be (2 + -2)\/((-4)\/4). Suppose -5*h = 3*v - b*v + 9, 0 = -5*h - v - 13. What is the closest to 2\/7 in h, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b. Let z(v) = v + 1 - 1 + 0. Let a(o) = -5*d(o) + 35*z(o). Let t(u) be the first derivative of -u**2 - 3. Determine a(t(w)).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -13 + 5*19. What is the greatest common divisor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 - 2*o + 6. Let y be a(5). Let s be 1\/y - 6\/40. What is the closest to -0.1 in -0.1, -4, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 - 2*s + 8. Let b be f(5). Let g be -1*6*(-1)\/(-2). Sort b, 2, g.\nAnswer: g, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38818.23 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26531 divided by 1\nAnswer: -26531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/11 and 81\/278.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92608, -92624, -92652, -92698, -92768?\nAnswer: -92868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/21 + 6\/21. Let t = -40.947 + 41. Let v = t - 3.053. Which is the third smallest value? (a) v (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 9:03 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 2)*(-c - c + 0*c) as w + t*c and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214 a factor of 1862711688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 44. Let f = 3 + l. List the prime factors of (-1674)\/(-21) - f\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3400 = 15*z + 2*z. Let y = z - -344. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 11. Let j(l) = -l**2 + 20*l - 11. Let u be j(19). Let m = c - u. Solve -m*z = -4*n - 7, z - 3 = 2*n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40.615 and -792.8.\nAnswer: 32199.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 17*a**3 - 2*a**2 + 1. Let n be x(1). Suppose -r + n = -6. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 119 = -b, 3*b - 130 = -4*g + 83. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -1*sqrt(2))*-1.\nAnswer: -8 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i + 4*i - 2*i)*(1 - 2 - 1) + i + 2*i - 7*i + (1 + 0 + 0)*(2 - 2 - 2*i))*(-1 - 2 + 1)*(0 + 0 - 5*i**4).\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2103398, -2103399, -2103400, -2103401?\nAnswer: -2103402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20*(94\/(-8) - 1). Let n = -250 - k. Solve 2*a - 19 = 3*j - 2*a, -n*a + 20 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 689 = 8*x - 704. Solve x*g = -17*l + 22*l, 2*g - 2*l - 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-20) + 2\/(-10). Let a(u) = -27*u**3 - u. What are the prime factors of a(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-6))\/(-8)*1\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 459644, 918728, 1377812, 1836896?\n\"Answer: 459084*x + 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.1. Let s = -1.7 - -2. Let c(t) = -t**2 - 8*t - 7. Let o be c(-6). What is the nearest to s in x, o, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1266 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*10\/(-9604)*1316\/940?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 2. Suppose -z - 3*n + 8*n = -211, -3*z - a*n + 633 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 12*n - 11. Let k be a(-13). Let s(j) = -15*j**2 + 30*j**2 - 14*j**k. Let f(p) = -2*p**2. Determine s(f(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 8)*(18 - 35 + 15 + x).\nAnswer: -13*x + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:51 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (22\/231)\/(-6*(-2)\/9)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*k**4 - h**3*k - 36*h**3 - 2*h*k + 395*k**4 wrt k?\nAnswer: -12*h**3*k**2 + 4740*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a**3 + 20*a**2 + 11. Let c = -9 + 20. Let h(t) = -3*t**3 - 7*t**2 - 4. Let s(b) = c*h(b) + 4*v(b). What is the third derivative of s(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 + 0*p - 36*p**2 - 2*p + 58*p**2 + 2*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (-9 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j. Calculate the remainder when m(-5) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2163550 (base 11) to base 15.\nAnswer: -4eee17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 16 = -0*v. Suppose -f + 4*w = -5, -w + 2 = v*f + w. Let q be (88\/110)\/((-238)\/35). Which is bigger: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, u: 5, x: 2, a: 2, t: 1}. What is prob of picking 1 t, 1 u, and 1 m?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(195\/(-20))*(-783)\/36\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10056 times -73?\nAnswer: -734088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 - 13 = 0. Let a(n) = 4*n**2 - 6*n**2 + 2*n**2 - y*n**2. Let i(d) = -d**2. Give a(i(c)).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 4, n: 2, w: 4, q: 3, d: 3}. Give prob of sequence qoq.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 1 - h + 2*h**2 - 2*h**2 - 9*h. What is n(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*n + 655*n**5 - 1147*n**5 + 31*n + 59 - 415 + 2*n**3 wrt n?\nAnswer: -9840*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 1. Let t(k) = 6*k - 1. Suppose a = 2, 4*a = -255*c + 258*c + 17. Suppose -2*s - 3 = 7. Determine c*t(i) + s*g(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.58 + -430.42. Is -2\/7 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46514, 9744, -90062, -284422, -604854, -1082876, -1750006?\n\"Answer: -5253*v**3 + v + 51766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 + 11982*h + 47856108.\nAnswer: 3*(h + 7988)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 61*y**4\/24 + 7*y**3\/6 - y**2. Suppose 443 + 79 = 10*w + 164*w. What are the prime factors of n(w)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + -3 + ((sqrt(50) - 2*sqrt(50)) + sqrt(50))\/sqrt(10) - (sqrt(2240)*2)\/(sqrt(189)\/sqrt(3) + sqrt(63))) + 5.\nAnswer: -8*sqrt(5)\/3 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (1 - -8) - 3. Let a = 15 + l. Solve a*m - 12 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 - 178593*o\/2 - 10631819883\/4.\nAnswer: -3*(o + 59531)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011110120 (base 3) to base 5.\nAnswer: 30130301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 2. Let h(k) = -k**2 + 16*k - 31. Let l be h(13). Let g(a) = 5*a - 44. Let m be g(l). Let d(z) = -z + 2. Determine m*y(v) - 5*d(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311536867 + -0.1.\nAnswer: 311536866.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2219262 equal to -2219263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 - 120. Let n = 6 - 3. Solve 5*q + g = w*q + n, -5*q = g - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 2}. What is prob of sequence im?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -95.2. What is the smallest value in 2\/17, v, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14*1 - (62 + -70). Solve -24 = -2*v - a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 - 108*z**4 + 148*z**3 + 972*z**2 - 1008*z = 0 for z.\nAnswer: -28, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + 11 - 29) + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -896 + 1899. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 28. Let p = -40 + 31. Let f = r - p. Which is the third smallest value? (a) -1\/9 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363\/(-121) - ((-151)\/(-37) - (13 + -19 + 13))\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 - 10*f - 2. Suppose -35 = -3*i + 8*i. What is p(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-164)\/(-22))\/((1120\/3388)\/(-20)*-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-7)\/(-14) + 6\/12. Is p bigger than 926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2. Let i(m) = -9*m + 38. Let q(j) = 26*j - 115. Let u(o) = 17*i(o) + 6*q(o). Give t(u(y)).\nAnswer: -9*y**2 + 264*y - 1936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*q**3 + 20*q**3 - 6*q**3)*(2*q - 2*q - q + (5*q - 4*q + 0*q)*(-1 - 3 + 6) - 3 + 3 + 2*q + 2*q - 5*q - 2*q).\nAnswer: 58*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4 + 2 + 3*l**2 - 1 + 5 + 4*l + 9*l**3. Let a be h(-1). Let r(k) = -k**3 - 8*k**2 + 2*k - 1. What is r(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407726 and 666326?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 + 2*n**2)*(n + 2*n - 5*n) + 239*n**2 - 239*n**2 - 8*n**3 + (1 - 1 - 2*n)*(4*n**2 + n**2 - 4*n**2).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 4039 + 4151 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(2448)*1 + 2))**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*s + 37 = 0, 19*o - 3*s = 15*o - 36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/71))\/k**42*(k**30*k)**21)**(-5\/4) assuming k is positive.\nAnswer: k**(-54140\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322926.\nAnswer: 2, 3, 107, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112532672 and 0.3.\nAnswer: 33759801.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**11\/y)\/y**(2\/37)*((y*y*y**(-11)*y)\/y)\/y*y*((y*y**(-12)*y)\/y)\/y)**(1\/8) assuming y is positive.\nAnswer: y**(-93\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 51*z + 230. Let p(t) = -17*t - 81. Calculate 17*p(q) + 6*y(q).\nAnswer: 17*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + c**2 + 2. Let j be (-1 - -3) + -2 - 0. Let d be o(j). Put d, 4, -5 in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-5 + 0 + (0 - 3 - 2))) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14505 (b) -2\/19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 28*d - 7. Let u be k(18). Suppose -u = -9*a + 133. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:51 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -5*u**3\/2 + 3*u. Does 13 divide o(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 + 2*k - 1. Let f(x) = x**3 - x**2 - 14*x - 14. Let s be f(6). Let n = s - 77. Suppose -n*l = -13*l + 8. Calculate m(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4\/11*a**2 + 0*a + 14\/11*a**3 + 0 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 27 + 15 = 0. Suppose -20 = a + 4*t + t, 2*a + 5*t + 15 = 0. Put o, a, 3, -8 in increasing order.\nAnswer: -8, o, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 3 - 2)*(465 - 465 - 52*x - 4*x - 3*x + 5*x + (3 - 1 + 0)*(-3*x + 4*x - 3*x)).\nAnswer: -174*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 6 = 5*j, -3*j = -5*r - 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-58)\/(-174))\/(2\/(-2)*(-5)\/3). Put -9, -0.4, 3, -5, i in ascending order.\nAnswer: -9, -5, -0.4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1702*c + 2. Let r(u) = 3*u + 16. Give h(r(g)).\nAnswer: 5106*g + 27234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6730*l**3 - 18*l - 22.\nAnswer: 40380*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 536184 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6 = -b - 42, -2*h = 3*b + 14. Let v = h + 16. Suppose 3*u + 15 = d - 3*d, -5*u + 3*d = v. Let o(q) = q**3 + 3*q**2 - 2*q - 3. Calculate o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20980.23um in centimeters?\nAnswer: 2.098023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*w - 3 - 7, 3*w - 5*u = -14. Suppose 0 = 3*q - 1 - 5. What is the units digit of w\/q + 2\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*m - 3465, -4*m = 2*f - 3772 - 848. Suppose -304*l + 301*l = -m. Calculate the greatest common divisor of 35 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m*w*x - 192*m*x - 2*m - 41*w wrt x.\nAnswer: -3*m*w - 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85306 and 123297278?\nAnswer: 5018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*s + 25, 0*c = 4*c - 20. Suppose 5*p = -4*v + 2*v + 3, -4 = 3*v - p. Is s <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143.6 + 1109.6. Let x = -1094052452 + 1094051486.000413. Let g = x + l. What is g rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/21 - (14\/12)\/7. Which is smaller: -2\/83 or m?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.4 (c) -40\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446189207*x**2 + 446189207*x**2 + 63*x**3.\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-4)*i*i**(2\/27)*(i*i**1)\/(i**(3\/5)\/i*i))\/((i**1\/(i*i**(-2\/15)*i))\/(i\/(i**(-2\/15)*i)*i**(-1\/8)\/i)) assuming i is positive.\nAnswer: i**(9017\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 70346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**5\/20 + 7*s**4\/12 + 4*s**2 - 148*s + 142. Let z(h) be the first derivative of k(h). Determine z(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16912811?\nAnswer: 37, 199, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 318*q**3 + q**2 + 24966*q**3.\nAnswer: 25284*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32305 + -0.07695. What is the closest to w in 0.03, 0.3, 2, 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, b: 7}. Give prob of sequence wbbb.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 258*n**2 + 9*n + 1. Suppose 4*t + 55 = -7*t. Is w(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, a: 3}. What is prob of picking 2 v?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7345, 29372, 66085, 117484, 183569, 264340?\n\"Answer: 7343*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -17785*((-96)\/(-270) + 8\/18). What is d rounded to the nearest 100?\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*l = 8, -3448*c + 3451*c = 4*l + 16 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 1. Let w(r) = -1. Let j(s) = k(s) - w(s). Let g(d) = 21*d**2 - 1. Calculate g(j(l)).\nAnswer: 84*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 5818941305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r**3 - 15*r**2 - 111. Let q(s) = -2*s**3 + 4*s**2 + 28. Let t(b) = -15*q(b) - 4*y(b). Find the first derivative of t(c) wrt c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - 2*w**2 + 3*w**3 - w**4 + 3 + 4*w - 8*w**3 in the form x*w**3 + p + d*w**4 + n*w + l*w**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + l**2 + 3*l**2)*(3 - 1 + 0) + 34 + 35*l**2 - 34 + 0*l + 2*l + 32*l**2 - 53*l**2 + 1 - l**2 + 0*l**2 + 1 as r*l + v*l**2 + d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813028?\nAnswer: 2, 439, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c = -167*c - 766*c + 11700 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 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: Collect the terms in -5549*x**3 + 6497*x**3 + 6568*x**3 + 5798*x**3.\nAnswer: 13314*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310248 divided by -62.\nAnswer: 5004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34873481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -196*j**3 - 5*j**2 - 6*j + 4. Is c(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*r - 2*r + 12, 0 = -4*x + 3*r - 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2887 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 6.4, -928, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(72)*3 - (sqrt(2)*-1 + 2 + sqrt(2))*-6) + 2)**2.\nAnswer: 360*sqrt(2) + 748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/((36\/21)\/((-2586)\/(-3017)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6180*a = -6131*a - 833 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96867810 and 48433905.\nAnswer: 96867810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 3*n - 1. Let d be s(-3). Let r(v) = -7*v - 65. Let l be 20\/6*(-3 - -1 - 1). Let z be r(l). Solve 0 = -3*q + z*b - b - 3, -4*b - d = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from {w: 3, c: 3, m: 1, q: 1, e: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1308625 and 667?\nAnswer: 30098375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9111786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136080\/268704 + 8\/(-1244).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 1439 = 4*w + 657 + 702, 4*w + 0*u + u = -1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1 (c) 497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 15 = z - 8, z + 12 = -3*p. Suppose 4*s + 2*f - 104 = f, 96 = 4*s + 3*f. Calculate the highest common factor of s and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20443*l + 1577163 = 176693 - 71426 for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5596 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - 3. Let p be 8\/(-4)*o*2. Find g such that 2\/9*g**5 + 2\/9*g**3 - 4\/9*g**p + 0 + 0*g**2 + 0*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2370, -2398, -2428, -2460, -2494, -2530?\n\"Answer: -i**2 - 25*i - 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 + 4*z - 11. Let b(w) = -w**2 - w - 1. Let n(g) = -5*b(g) + o(g). Calculate n(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -121, -119, -115, -109, -101?\n\"Answer: x**2 - x - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7.7. Let o = i + 1.3. Suppose 1 + 7 = 4*w. Which is the closest to w? (a) o (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 162 in 1, 0.1, 2509?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 69006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 3*r**2 - 3*r - 1. Let p be d(4). Let b be (2\/(-4))\/((-8)\/64). Put -4, p, b in descending order.\nAnswer: b, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 6*v**2 + 5*v + 4. Let k be g(-7). Let a be 59 - 55\/(1650\/1020). Solve a = -23*r + k*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 30*g - 23 = -h, 2*h - 5*g - 34 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 4*x**2 + 172*x - 319. Determine q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(405) + sqrt(405) + sqrt(405))*-5)**2.\nAnswer: 2700*sqrt(5) + 91225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 6*n - 4. Which is the third biggest value? (a) n (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 14*y + 5*y**2 + 6*y**2 + 32*y + 7*y - 5*y**2 - 8. What are the prime factors of s(-19)?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*h - 0*x - 96, 15 = -5*x. Let m be ((-30)\/(-4))\/(h\/(-2948)). Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*x + 5*b, 2*x - 7*b + 6*b - 12 = 0. Suppose h - x = -f, 12 = 5*f + 2. Sort -4, h, -1, -48.\nAnswer: -48, -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-298)\/(-1341))\/(4\/(-558))*2\/(2*-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 46*d**2 + 7*d + 3. Let k(q) = q**3 - 25*q**2 + 4*q + 1. Give -5*g(j) + 9*k(j).\nAnswer: 4*j**3 + 5*j**2 + j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 7*q + 18 + 5*q + 18 in the form p + l*q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*y**2 + 12172395*y + 20866860.\nAnswer: 5*(y + 347781)*(7*y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - -2)\/(17\/(-187)). Let g = -62 - x. Calculate the remainder when g is divided by 14 + 1 + (-2 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by ((-4)\/(-6))\/((-12)\/(-666))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236 - 174. Calculate the lowest common multiple of s and 2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3 + (-1 - 1 + 3)*(-11 + 5 - 15))*(-41 - 9 - 39 - l).\nAnswer: 23*l + 2047","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 190045 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 498 + -495.39. Let u = h - -0.39. What is the nearest to -2 in -2\/19, -4, u?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38967?\nAnswer: 3, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (98\/56)\/((-9450)\/4320)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48.764 and 0.9.\nAnswer: 43.8876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 0*z + 0*z + (-z**2 - 4*z + 4*z)*(3 - 6 + 1) + (-13*z + 8*z + 4*z)*(z + 4*z - 6*z) + (4 + 0 - 1)*(3 - 3 + 3*z**2).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15672)\/(-1959)*(24\/(-160))\/(6\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 greater than or equal to 50074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/1333 (c) -11\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177 + 106. Suppose -727*r + 5*i + 95 = -724*r, -i - 54 = -2*r. Calculate the remainder when 2\/4*q*-2 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 greater than or equal to 7743\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 6. Let x(k) = 2*k + 13. Let z(q) = 13*o(q) - 6*x(q). Let a be z(2). Find y, given that -2*y**3 + 2 + 4*y - a*y**4 - 2*y**3 + 0*y + 0*y**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztze when four letters picked without replacement from eazzta.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and ((-33)\/11 - -6)\/(6\/16).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -383486.4 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 784, 6250, 21086, 49978, 97612, 168674, 267850, 399826?\n\"Answer: 781*l**3 - l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 - 4*c**3 + 4*c**3)*(5 - 4 + 8)*(2*c**2 - 3*c + 3*c).\nAnswer: -54*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sso when three letters picked without replacement from {s: 12, o: 6}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 - 24*j + 1. What is w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-8)\/(-6)) - 42\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:10 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29507843*w - 4686 = 29507777*w for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128989273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.696 to 0 decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdaassaaaaasahada. What is prob of sequence dssh?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 4*g + 17. Let z be w(6). Suppose 3*v + z = -t + 3, -26 = -4*t + 5*v. Is (2 - 180)*t\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**2. Let n(p) = -5*p + 170. What is a(n(s))?\nAnswer: 250*s**2 - 17000*s + 289000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 - 1102 = -3*j. List the prime factors of j.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/504*(12*3)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**3 + 1\/15*b**5 + 1\/120*b**6 + 0 - 1\/8*b**4 + 0*b - 5*b**2. Suppose -4*g + 1 + 6 = -3*v, 5*g = -4*v - 30. Give a(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2266866242 rounded to 3 decimal places?\nAnswer: 0.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1854, -7215, -16152, -28665, -44754, -64419, -87660?\n\"Answer: -1788*t**2 + 3*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {h: 2, g: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1183 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 93*b - 2. Let d be a(-4). Is d\/(-18) + 6\/27 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 - 9. Let x be t(-5). Let j = x + -23. Let v(w) = w**2 + 8*w - 9. What is v(j)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 4, d: 16}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**3 + 2. Let f(k) = 32*k**3 + k**2 - 33. Calculate -f(m) + 7*y(m).\nAnswer: -4*m**3 - m**2 + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 10*v - 2. Let r be f(-8). Let c be (-81)\/r - 6\/4. Suppose -110 = -c*d + 517. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5849.\nAnswer: 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*20\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 5*r**2 + 5*r + 10. Does 14 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*n = 46*n + 24. Let o be (635\/20 - 8) + 2\/n. Solve -5*x = -3*y + 22, 7*x = 2*x + y - o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 - -64.5. Let k = b - 25. Let c be 17\/6 + -5 + 2. What is the nearest to 6 in k, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -305, -291, -267, -233?\n\"Answer: 5*b**2 - b - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/((-108)\/99))\/(2\/4). Suppose 0 = 5*s - 3*s + 8, s - 29 = -3*q. What is the highest common divisor of q and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6092.\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.1 + -0.1. Let z = t + -7. Let k = 0 + -2. Put z, -4, k in descending order.\nAnswer: z, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30433 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1 - t**3 + 2*t**3 - t**2 + 3*t**2. Let b be o(-2). Let d be (-10)\/42 - (-20)\/30. Is d greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59146, -59200, -59256, -59314, -59374, -59436?\nAnswer: -59500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/30)\/(2\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 918?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00307730818 rounded to 7 dps?\nAnswer: -0.0030773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) + (-26)\/4. Let d = -1149 + 25309\/22. What is the common denominator of (-4)\/x - 620\/24 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/(2*(-3)\/(-312)) and (-312)\/(-507)*143\/2?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 11*u = -7. What is the highest common divisor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 - 4*n**3\/3 - 3*n**2\/2 - 5*n - 2. Let p be b(5). Calculate the highest common factor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in minutes?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -51. Is 33 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9255, 18554, 27949, 37488, 47219, 57190, 67449?\n\"Answer: 8*d**3 + 9243*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 11. Let l be r(9). Let f = 0 + l. Let v(t) be the third derivative of t**5\/30 + t**4\/8 - t**2. Determine v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 2) + (322 - 310)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -25. Calculate the highest common divisor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40\/90 - (372750\/(-27) + 5)?\nAnswer: 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93a5b (base 15) in base 7?\nAnswer: -3656453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - (-2295)\/(-75))\/(-1).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(1700) + 0 - ((sqrt(187) - 2*sqrt(187))*-3)\/(3*sqrt(44)).\nAnswer: -241*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125.16 + 125.2. Which is the second biggest value? (a) -4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*((-1)\/8)\/((-9)\/(-18)). Suppose h - 298 = -k, 7*h - l*h = -4*k + 1189. What is the remainder when k is divided by 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -6\/17, -0.5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -197323*m*t - 7523*m + 4 wrt t.\nAnswer: -197323*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v**3 - 3*v**3 - 14290*v**2 + 7143*v**2 + 7147*v**2.\nAnswer: -50*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198 - -196. What is the closest to 1 in g, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58474 times -0.5?\nAnswer: -29237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6100\/120 + 95\/(-114). What is the highest common factor of 25150 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0076 - 66.3924. Let y = v + 66.399998042. Round y to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 times -989342?\nAnswer: 524351.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/21 - (-21)\/3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4541 - 4524. What is the highest common divisor of 51 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79620 + -4091335.276?\nAnswer: -4170955.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68)\/sqrt(4)*-5 + 0).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (10 - 3) + 3 - (-38 - -28)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31122 and 58118112.\nAnswer: 406826784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -481 - 461. What are the prime factors of s?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5999*z - 3924547 = -6046*z. What are the prime factors of z?\nAnswer: 11, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:35 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:31 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*g - 19, 4*i - 6 = -5*g - 7. Suppose -o + 1 = 2*j - 3, g*j + o = 6. Let q(p) = p**3 - 2*p. What is q(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/(p\/(p**(-14)\/p)*p))\/p)*p))\/p*p*p\/(p*p\/(p*p**(-22)\/p*p*p*p)*p*p)*((p\/(p*p**(-17)))\/p*p)**(4\/7) assuming p is positive.\nAnswer: p**(-212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/65025 and -91\/11475.\nAnswer: 195075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -296*a + 58*a + 0 + 30 - 7. Let i = -23 - -18. Is b(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s + 6. Suppose -61*n - 274 = -5*a - 57*n, -269 = -5*a - n. What is the smallest common multiple of a and o(0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*q**2 - 50*q**2 + 2*q - 47*q**2 - 95*q**2 - 2*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**2 - 5*p + 6. Let v(q) = -11*q**2 - 11*q + 13. Let z(o) = -9*h(o) + 4*v(o). Let c(m) = m**2 + 27*m - 28. Let d(w) = c(w) - 2*z(w). Factor d(r).\nAnswer: -(r - 24)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 33*f = 96*f + 46*f. Solve f = -y - 1226 + 1223 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 + 169. Let k = 51 + -50.5. Which is the third biggest value? (a) 1 (b) k (c) r (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 104, 153, 202, 251?\n\"Answer: 49*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 18. Let r be s(-13). Let n = 82723974 - 54399376. Suppose 28175402 = r*d - n. Round d to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/8, -0.5, 8, -21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.6 (b) -1.6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*z + 1458*z - 1030 - 1410 = 0 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 5*z**2 - 6*z + 5. Let b be m(5). Is (-185)\/b*43 + 3\/(-15) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/230)\/(13\/(-26)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.4 - 11. Let y = k + -9.427. Let h = y - -0.187. Is h smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 301, 452?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (135\/36)\/(4\/6 - 1160112135\/1740168000). Round a to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*w**3\/5 - 100*w**2 - 4921*w\/5 - 2166\/5.\nAnswer: -(w + 19)**2*(13*w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 13*o = 3. Let q(x) = -x + 1. Give q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 15. Solve -2*y - 5*p - 10 = -0*y, t*p + 6 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283*t**5 + 772*t**2 + 263699*t.\nAnswer: 5660*t**3 + 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2624\/168)\/(-4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(-j + 3*j + 2*j**2 - 4*j**2)*(2*j**2 - j**2 - 7*j**2).\nAnswer: -36*j**4 + 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 4*t + 2*t)*(257 - 105 - 108 - 5 + 4 + 2 + (-2 - 2 + 2)*(2 - 2 - 1)) in the form a*t + s and give a.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 3*h**5\/20 - h**4\/3 + h**3\/6 - 14*h. Factor j(x).\nAnswer: x*(x - 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -4 (c) 26 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55960 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhrhhhr. What is prob of sequence hhhh?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13)\/11)\/(6\/(-33)))\/((-44)\/16 - -1)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63628, -63621, -63610, -63595?\nAnswer: -63576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = -h + 3*c, -1 = 2*h - 3*c. Let s be ((-10)\/3 + 3)*(1 - h). Solve s*n + 4 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529546558.\nAnswer: 2, 631, 419609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let y = 45 - 40. Let a(v) = -y*v + 222 - 222. What is 2*a(t) - 11*w(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(793*j - 30 - 6*j**2 - 621*j + 32) in the form a*j**2 + t*j + n and give t.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21\/5 - 58\/15. Which is smaller: -0.09 or s?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18220 - 18220 + 5*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13953*n**4 - 278*n**3 - 4*n - 1834119?\nAnswer: 167436*n**2 - 1668*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 2972503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -5. Suppose 6 = 3*m + 3*w, 4*m + 3*w - 13 = -5. Suppose 5*z - z - 38 = m*c, -25 = -3*z - 2*c. Calculate the smallest common multiple of r and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/48)\/(((-2)\/(-13))\/(7620\/(-127)))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2\/6)\/(6\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a (base 13) in base 4?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1213, -1094, -831, -370, 343, 1362?\n\"Answer: 9*i**3 + 18*i**2 + 2*i - 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 + 2*q**2 - 6*q - 16. Let x be m(-4). What is the highest common factor of 203 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 650 + 82?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10 + 0 + 1. Let i = 21 - 17. Which is the closest to f? (a) 0 (b) i (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*f - 139*x + 138*x, -5*x = -3*f + 43 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*d + 16 = 0, q = 2*d - 2 - 6. Let m be (2 - (-24)\/(-20)) + 0 + q. What is the closest to -30 in m, -3\/4, -1\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 - j**2\/2 - j + 2. Let b(p) be the first derivative of t(p). What is b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, l: 2, y: 1, i: 2}. What is prob of sequence lli?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1243 + -1239. Let n = 1 + -6. Suppose 4*r - v = v + 2, 0 = r - 4*v - 4. Which is the third biggest value? (a) n (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264819 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56695\/38 + 1492. Sort -7\/3, d, -4\/9.\nAnswer: -7\/3, -4\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 - -393. Let y = -233 + r. Solve -y - 2 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379634 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:33 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4301, -8607, -12913, -17219, -21525?\n\"Answer: -4306*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z - 3 = 0. Let o be (13 + -1)*(-1)\/z. Suppose -2*m + r = -8, -3*m + 4*r + 15 = r. Solve -g + o*g - m = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h - 2. Let b(i) be the second derivative of i**5\/10 + i**3\/6 - i**2 + i. Let n = -1268 + 1271. Calculate n*b(a) - 4*p(a).\nAnswer: 2*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(15)\/(sqrt(5)*-2) - sqrt(3)) + (sqrt(28)\/(sqrt(16)\/sqrt(4)) - (sqrt(35) + 1*sqrt(35))\/sqrt(5)))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -75. Factor 1\/5*b**3 + q*b**2 - 3\/5*b - 2\/5.\nAnswer: (b - 2)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -383*r + 30. Let k be s(-7). Suppose -4*v + k + 3171 = q, 0 = v + 4*q - 1463. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*b + 48, 8*b - 4*b + h = 38. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 145072836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -19 + 175*g - 60*g - 57*g - 61*g + 4. Give m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 4*r + 44081 + 158329 = 0. What is the highest common factor of r and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 1113 + 1134 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 14*n**2 - 594*n - 6834. Calculate f(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 25*m**2 + 68*m - 26. What is the lowest common multiple of 534 and u(-8)?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/14500454 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:26 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5417251 + 1917382. Let b = 34939349\/10 + p. Let n = b + 5939. Calculate the common denominator of n and -91\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2696 times -0.24054\nAnswer: -648.49584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*q**2*t + 29*q**2 + 882*q - 105526*t + 4 wrt t.\nAnswer: -7*q**2 - 105526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 10, r: 6, z: 2, q: 2}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3490085, 5, -3.\nAnswer: -3490085, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3415)\/1366*(-72)\/42*(-1)\/(-2)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8*351\/108)\/(-18))\/((-2)\/(-6)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-4) + 1 + 78\/104. Suppose 3*o + 0*a - 651 = 2*a, 4*a = y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-270)\/(-420)*-5*(-22)\/99.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2280925 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254 + -68. List the prime factors of (6\/12)\/(3\/y).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.6 - 14.6. Which is the biggest value? (a) -2 (b) x (c) 1 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rngaenn. Give prob of picking 1 n, 1 g, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072537609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a litre in millilitres?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 218126*c**2 + 3*c - 40. Let y be f(-8). Suppose -y = -23*m + 19*m. Round m to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 151525.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19557 and 2198493.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596352 less than 10690?\nAnswer: -585662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from ccbcwcywcvvcwcwqw.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + sqrt(156) + 2*sqrt(156)*4 + sqrt(156) + sqrt(156))\/sqrt(12))**2.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 27 + 28 - 71 - p.\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:17 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 23086.12 nanograms?\nAnswer: 0.00002308612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -133 - -17?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21359 and 35009?\nAnswer: 57519787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 10. Let w = o - 6. Let u = 3 - w. Calculate the least common multiple of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:54 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -37798758 rounded to the nearest 10000?\nAnswer: -37800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 5*z - 75. Put -2, 5, 293, z in decreasing order.\nAnswer: 293, 5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 37*s**2 - 130*s - 3368. What is h(-36)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9901*m = -4567*m + 648998 + 132274 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47907 and 8352.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g + 0*g + 2*g. Suppose -3*b = -h - 3, 0 = -5*b - 2*h + 2 + 14. What is n(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3 + 30*u**2 - 279*u + 770 = 0.\nAnswer: 5, 11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 0. Let f be (-21)\/4 + 40\/10. Which is the third smallest value? (a) -4 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-10))\/(9\/15))\/((-17)\/272)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4)**(-1\/8)\/(o**(-9))**26 assuming o is positive.\nAnswer: o**(467\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 383110 divided by 5\nAnswer: 76622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355533 divided by 6.\nAnswer: 118511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/(-75)*42\/36. Let b = -2\/25 + q. Let l = -59 + 61. What is the third biggest value in 3\/8, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -100, 4, 5, -1 in decreasing order.\nAnswer: 5, 4, -1, -3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*a + 2 + 1 - 1 + (3 - 4 + 0)*(-2*a + 4*a - 4*a).\nAnswer: 15*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -198 + 211. Solve 2 = -3*w - n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204721.263 milliseconds to days.\nAnswer: 0.0023694590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**32)\/((o**(2\/49)*o)\/o) assuming o is positive.\nAnswer: o**(-1521\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 2. Let s be g(-2). Let k = 7 - 2. Let o = k - 10. Which is the closest to -0.1? (a) 1 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1765 divided by -21\nAnswer: -1765\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 2364 + 2634 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28390717037 - -9273.\nAnswer: -28390707764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.908 + -0.908000581. What is l rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 135*i - 378.\nAnswer: -3*(i + 3)*(i + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4124.9 - 4125. Let v = 6 + -1. Let l be (-18)\/v - (-2)\/(-5). Which is the nearest to q? (a) -1\/3 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.8983 in 1\/9, 1, 4, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 70 = -0*p - 5*p, -4*p - 152 = -2*l. What is the greatest common factor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67932838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 515 + -229. List the prime factors of o.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 19212 = -4*z, 3*k - 23*z + 24*z - 14385 = 0. Does 41 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1792 + 1825. Calculate the highest common divisor of 759 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 82, 250, 580, 1126?\n\"Answer: 9*k**3 - 3*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, r: 4, h: 1}. What is prob of picking 2 r?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -49176497.11 and -100.\nAnswer: -49176597.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -11*q**3\/3 - 2*q**2 + 510. Let g(b) = 7*b. Give g(s(p)).\nAnswer: -77*p**2 - 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 92. Suppose -4*k - 37 = -5. Let s = k - -15. Calculate the remainder when h is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -40*a + 116*a + a**2 - 38*a - 4 - 44*a. Give s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 1283, 4395, 10475, 20513, 35499?\nAnswer: 56423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) -0.1277 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 11*n - 20. Let s be b(-12). Suppose 73*l = 71*l + s. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 799, 37, -8, -0.2, 1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -117, -122, -127?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose p*f = 1 + 7. Solve 10 - 23 = -4*z + 3*m, 3*m + 5 = f*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 490?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 6. Let b be k(-4). Suppose -2*u - b*r + 7*r = 92, -206 = 4*u + r. Let j = u - -72. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4975*i**2*u**3 - 40*i**2*u**2 + 151*i**2 + i*u**2 + 9471*i*u - 4*u**3 + 206*u**2 - 7*u - 2 wrt i?\nAnswer: -9950*u**3 - 80*u**2 + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1556842, 0 in increasing order.\nAnswer: -1556842, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 90 - 2*x + 96 + 92 - 367.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 9 - 0. Calculate the greatest common factor of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-146)\/(-150) + -1)\/(3\/15). Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 45 = -2*b. What is the greatest common divisor of 63 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((53 - -1)\/9)\/2. Solve -j - 3*b + 8 = 0, b = -j - n*b + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75327 (b) -2 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65.974 - 65.3. Let k = 0.674359 - m. Round k to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 43*r - 48*r. Let u be (-12)\/r*(9 - 8). Suppose u*v**3 - 3\/4*v**4 + 0 - 3\/8*v**5 + 0*v + 3\/4*v**2 = 0. What is v?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -60*p. Let b(i) be the second derivative of -31*i**4\/6 + 4553*i. What is l(b(w))?\nAnswer: 3720*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/((-8)\/14*25\/(-100)*14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -18, 1, -2.\nAnswer: -18, -14, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2234 - 1495. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.726468 smaller than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12134 or 12031?\nAnswer: 12134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1502*j**3 - 31*j**2 + 5 wrt j.\nAnswer: -9012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a + 59 - 2923 + 5315 = 0 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19307262 is divided by 582.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19090000 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001 + 1?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461, 457, 451, 443, 433?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 8*j**2 - 8*j - 4. Let z be u(-7). Suppose -x + z*f = -11, 3*x + 3*f = f. Calculate the highest common divisor of x and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/9*-2*4\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30169.\nAnswer: 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -291720 divided by -2210?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88)*-4)\/(sqrt(8) - (-2*sqrt(16))\/sqrt(2))*-3)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2\/(z\/z**(-1\/3))*z\/z**(-2\/3)*z**(2\/3) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1139 - -176. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-6) + 408\/(-36) + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2 + (-10)\/(-5). Suppose d = -2*o + 3*o. What is the third derivative of -5*g**2 - 2*g**3 + o*g**2 + 3*g**2 wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 903019?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(6 + 24\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -340, -468, -576, -658, -708?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 5*p + 5. Let z be q(-5). Suppose -2*v + z*v = 9. Suppose 5*n - 8 = 2*c, 2 + 1 = 3*c. Solve v*l - 5 = n*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 4*p**3 + 0*p**2)*(-5*p + 3*p - p) + 3*p**3 - 3*p**3 - 3*p**4.\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -8 (b) 0.046 (c) 1\/5 (d) -5 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 1:28 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 370655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 51. Let t be c(11). Let m = 13 + 142. Suppose -t*d + m = d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 17913 = -3*x, 149*w = x + 144*w - 5987. Is x a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 - 2*i + 4. Let r = 18542 - 18545. Give k(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 9*g. Suppose 2*x = -4*q - 8, -5*x + 3*q - 6*q + 15 = g. Find the third derivative of -6*n**6 - n**2 + n**2 + 2*n**2 + 2*n**x wrt n.\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78266 is divided by 2533.\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -437 + 18*i - 19 + 317 as u*i + b and give b.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 - 3*s + s**3 - 3 - s**3 - 2*s**2. What are the prime factors of r(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (628 - 438 - 942 - 890)*(-2*z - 8*z - 2*z).\nAnswer: 19704*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - l. Let p(b) = -10*b**2 - 10*b - 26. Let s(k) = p(k) + 4*v(k). Let r be s(15). What is r rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 - 2229*b**2 - 24666*b + 58240 = 0. What is b?\nAnswer: -13, 2, 2240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 22 = -18. Let t(x) = x**3 + 0*x**2 - 7 - 8*x + 0 + 4*x**2. Is t(m) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) + 4 + -5. Suppose b + 2*b = -5*o + 35, 0 = -3*o - 3*b + 21. Let x be 1352\/(-28) - j\/o. Round x to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 1\/3*y**3 - 23*y + 0 - 1\/10*y**5 + 1\/12*y**4 + 0*y**2. What is z(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287836146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 4)*(304*t - 2625 + 2625) in the form u + b*t and give b.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 54 - 8 = 0. Let b = i - -22. Let z(x) = 1. Let n(k) = 9*k + 1. Let q(u) = n(u) - z(u). Determine q(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:21 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1 + 1 - q. Let k be r(-2). Find the second derivative of 0*n + 3*n**4 - k*n**4 - 2*n wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/11)\/(h\/(h\/(h\/(h\/((h**15*h)\/h))))) assuming h is positive.\nAnswer: h**(-166\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76118 is divided by 24905?\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 107.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2234*l + 997*l + 45769 = 0 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 10*z + 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + d + 10. Suppose -25 = -5*w - 10. Let f be 0\/(w*4\/6). Let y be l(f). Solve -5*x + 5 = -y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bb80 (base 14) to base 15.\nAnswer: -225a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -790*r - 2*r**4 - 5 + 394*r + 394*r - r**2 + r**3 to the form y*r**3 + k*r + b*r**4 + u + p*r**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-444)\/(-9)*3\/((-60)\/(-70))*(-15)\/35?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 88*y + 4. Is 5 a factor of q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqzbcqqqwzqqbq. Give prob of picking 2 q.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(196)*2)\/sqrt(4))\/(sqrt(112)*1*-2).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 24*s**2 - 8*s**2 + 49*s**2 + 63*s**2.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591 - 519 = -8*f. Let c = f - -11. Solve -d - 9 = c*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*o**3*z**5 + 7*o**3*z**2 - z**2 wrt z?\nAnswer: 10200*o**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*((g - 3*g + g)*(3 - 4 + 0) + (-3*g + 4*g - 3*g)*(0 - 4 + 0) - 23 + 23 + g) to t + m*g and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2. Let s(i) = -1144*i**2. Determine l(s(m)).\nAnswer: -5234944*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -84*z**2 + 51*z. Let d(x) = 33*x. Determine v(d(o)).\nAnswer: -91476*o**2 + 1683*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/8 in -65, -2\/9, 0.22, 1\/4, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 1 = -10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 52*x**2 - x. Suppose 350*g - 1504 = 1646. Calculate the remainder when c(2) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meem when four letters picked without replacement from {g: 3, m: 5, e: 5}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 34200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -14. Let w = -0.8 - 0.1. Let o = w + 0.8. Sort o, 0.08, n.\nAnswer: o, 0.08, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z - 17*z + 15*z - 27*z + 5*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/16)\/((-6)\/(-16)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q. Give f(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1143*o**3 - 30 - 1146*o**3 + 13 - 1621*o + 18 to y*o**3 + g*o**2 + c*o + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 4588.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*k + 2*k = 8, -4*k = -5*i + 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 314726274 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319 + 570. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-312)*-362 + -66 + 73?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 27*f - 83. Let x be y(15). Calculate the highest common divisor of x and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 20. Suppose j*k - 6 = -2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 + 2*d**2 - 5. Let a be k(-4). Suppose a - 14 = -2*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 633076917 divided by 446143.\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351067688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**3 - 50892*c**2 + 152655*c - 101766 = 0.\nAnswer: 1, 2, 16961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**14*((y\/y**(5\/6))\/y)\/y*y*y**(3\/10))**32 assuming y is positive.\nAnswer: y**(2432\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87723.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/45*(112\/49)\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 10\/5358173 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 11*u + 5. Let x(y) = -14*y**2 - 32*y - 15. Let j be 2\/4 + 6\/(-12)*-21. Let m(k) = j*v(k) + 4*x(k). Give m(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6682*b**6 + 28368*b**2?\nAnswer: -801840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - l**3 - 4*l - 2 + 9*l + 4. Let g = -5 + 3. Let v(d) = -d**3 + 2*d**2 + 4*d + 1. Determine g*c(x) + 3*v(x).\nAnswer: -x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -369530 rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 233500520 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35021 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*m + 4*m - m)*(0 + 5 - 4)*(-2 + 2 + 2) to the form r*m + y and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/8 or -0.1229697?\nAnswer: -0.1229697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -226, -483, -740, -997?\n\"Answer: -257*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + d - d + (1 + 2*d**3 - 1)*(0 + 2*d + 0) + (-7*d - 8*d + 3*d)*(3*d - d**3 - 3*d).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f - 5. Let n be (2 + (-17)\/4*1)\/((-298)\/(-2384)). Let l(r) = -r + 1. Determine n*l(x) - 2*s(x).\nAnswer: 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4 and 305\/40*(-8)\/(-166)?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.86 - 0.14. Let a = -16.5 - c. What is the closest to -1 in a, -1, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(8\/(120\/9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66409 is divided by 730.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjhkjvo. Give prob of sequence rjjh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 1, l: 2, g: 1}. What is prob of picking 1 c and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137391.258 + 137274. Let x = i - -0.258. Let a = x - -117.047. Do 0 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t**2 + 10*t - 8. Let p be h(6). Suppose p = 3*y - 8. Let n = 23 - y. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(3\/3))\/(6\/72). Solve 3*f - 12 + z = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 + 2*r - 1. Let h(c) = -c**3 + 14*c**2 - 13*c + 3. Let a be h(13). Is 13 a factor of o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 290?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 1*sqrt(68))*-4 + sqrt(68))\/sqrt(4).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2129526116 to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 449749 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*(-21)\/((-5670)\/(-36))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116379 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60660 by -1685.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 26*k**2 - 28*k + 67. Let n be r(-25). What is the greatest common divisor of 497 and n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -88.2591 times 283\nAnswer: -24977.3253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -25*m + 19*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1475 - 1467. Let o = -2 + 2.1. What is the closest to 1 in 1\/2, o, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 227*g - 1638. List the prime factors of r(10).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/3 - 5*4\/10. Let -2\/3*h + o*h**3 + 4\/9*h**4 + 4\/9 - 8\/9*h**2 - 2\/3*h**5 = 0. Calculate h.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9878, -10126, -10374?\nAnswer: -10622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/71 (b) 3\/5 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101220101 (base 3) to base 7.\nAnswer: 254641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*q - 5 + 35, q + 10 = a. Suppose 5*f - 31 = 2*d - 6*d, a*d - 17 = f. Suppose 4*l - 32 = f*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x - 5 + 5)*(2043*x + 633*x - 627*x) as s*x**2 + y + v*x and give s.\nAnswer: -10245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84 - 43) + -6 + (-5 - 2 - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3456 rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.598676488 and 0.\nAnswer: -1.598676488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 6:01 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z + 3*z)*(z**2 + 0 + 0 - 5*z + 5*z + z**2 + (2*z**2 + 3*z**2 - 4*z**2)*(0 + 2 + 0) - 3*z**2 - 2*z**2 + 4*z**2 - 2*z**2 - 3*z**2 + 4*z**2).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46842038 - 9.764587.\nAnswer: 46842028.235413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, t: 4, n: 1, z: 4, x: 5}. Give prob of picking 3 x and 1 z.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 1. Let j be m(-4). Suppose 4*y + 31 + 69 = 0. Let z be 10\/y + (-27)\/(-5). Solve -n = -3*p + j, z*n - 3*p = 3 - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.26 - 252174264.\nAnswer: -252174211.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w - 12. Let d be ((-1)\/(-2))\/(w\/(-24)). Suppose 0*o - 50 = -o + 5*c, -2*o - d*c = -114. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289724?\nAnswer: 2, 72431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 177?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-8)*16*-1. Let r = 44 + -40. What is the second smallest value in r, -3, f, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4, -1\/133, -35615, -0.4?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 7*n + 4. Give k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 5) + 71 + -55.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 36*j**2 + 159*j + 13. Calculate y(11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 15*u**2 - 2*u + 17. Let t be m(15). Let z(c) = -c**2 - 17*c - 40. What is the remainder when 44 is divided by z(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655187 is divided by 455?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 11)*(-12)\/(-12). Let k(v) = -v**3 - 3*v**2 + 3*v + 2. Calculate k(g).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1155, -2155, -3003, -3699, -4243, -4635, -4875?\n\"Answer: 76*j**2 - 1228*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(294))\/sqrt(6))\/(sqrt(7) - -1*sqrt(847)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 1. Let f(m) = -7*m + 6. Let x(c) = -f(c) - 6*r(c). Let u(l) = 5*l + 1. Let a(v) = 7*v + 1. Let h(b) = a(b) - 3*u(b). What is h(i) + 5*x(i)?\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 = -2. Suppose -y = -n - 6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164623451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469696.6mg to grams.\nAnswer: 469.6966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1480 - 1480. Suppose -3*l - 4*m + 10 = 0, -5*l + 3*m + 96 = 31. Let w = l - 8. Which is the closest to i? (a) 3 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6*f + 12 = -2*f, -j + 12 = 5*f. Let d be j*12\/16*6. Suppose -3*r + d = -9. Solve -3*o = 3 + r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 19*y**4 - 3*y**2\/2 + 7*y + 15. Find the second derivative of z(w) wrt w.\nAnswer: 456*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + sqrt(567) + -1 + 4) - (sqrt(567) + (sqrt(567) - sqrt(567)*-2*-2 - sqrt(567))))**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + i**2 + i + 32. What is k(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6934 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*j - 3. Suppose -44 = -4*g + y, 5*g - 3*y - 52 = g. Let k = g + j. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 4 (b) 2\/11 (c) -5.2 (d) -74\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.42 + 0.56. Let m = i - -0.02. What is the third biggest value in 1, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(19)*6 + -2 + 2 + sqrt(19).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + c**3 + 11 - 9 + 2*c)*(40 - 8 + 4).\nAnswer: 36*c**3 - 108*c + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/624 + (-4)\/78 - -79.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 43*z**2 + 170*z - 8 = 0?\nAnswer: -4, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5017674 rounded to two decimal places?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4+-55142\nAnswer: -55138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9*o**4 - 1)*(o - 2*o - 8*o).\nAnswer: 81*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 2 m when four letters picked without replacement from {e: 1, f: 1, y: 3, m: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -746 less than or equal to -745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-5)\/100). Solve 4*v = 2*v - g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -250 - -433. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 5*j**4 - 68*j**3 + 47*j**2 - 48*j**2 + 49*j**3 as l*j**4 + w*j**3 + m + z*j + n*j**2 and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 4. Suppose 3*r + 6 = -2*f, -f = f - 2*r + 16. Let b be d(f). Suppose b = g - 3. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111994 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m - 1071 = 4 - 236 + 781 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4116 and 193\/390?\nAnswer: 267540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkakvttabak. What is prob of sequence abk?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from wyby?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 136 = 4*z - 3*p, 0 = -2*z + 3*p + 64. Let x = z + -36. Solve 0 = x*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 240*x - 65. Determine m(5).\nAnswer: 1135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)**(-4\/5)*(k**(-2\/13)*k)\/k*k\/(k*k\/k**(-3)))\/((k**(1\/4))**(12\/11)\/(k**(-1\/5)*k*k**6*k)) assuming k is positive.\nAnswer: k**(2412\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481 + -561 - (5 + -69).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (4 - (2 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-4) + 20 + -40 + 12. What is the third smallest value in p, 7, 1, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 7*q - 13. Let k be d(9). Suppose 17 = 2*j - k*z - 29, 5*j = 4*z + 81. Suppose -m + j + 2 = 0. Solve -3*s + m = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6054 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -30*i**2 + 41*i - 12. Let p be v(1). What is the closest to 8 in p, -5, -0.2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 23. Let z = -7 - -9. Let u be ((-2)\/(-3))\/(256\/48 - 9). What is the biggest value in f, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75.756 - -0.156. Let j = n - -76. Let g = 128\/77 - 4\/7. What is the biggest value in 3, g, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 163*t + 6. Let c(n) = 321*n + 10. What is 4*c(v) - 7*r(v)?\nAnswer: 143*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 39720*l + 1 + 437*l to the form v + c*l and give c.\nAnswer: -39283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -47*i + 44*i. Let d be 1\/((i\/(-24))\/1). Sort d, 5, -4.\nAnswer: -4, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let q be -214*1\/(-2) - z. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 - k + 7. Let b be q(0). Suppose 0 = -5*p - 4*r - 2, -b = -5*p + 5*r - 6*r. Solve -p*z - 2*z = 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 18*m**2 - 239 + 460 - 233 + 2*m**3 to a + t*m**3 + r*m + n*m**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -46*r + 41*r + 103*r. Let y(f) = 9*f**2 - 28*f - 4. Let b(g) = 2*g**2 - 7*g - 1. Let t(o) = 4*b(o) - y(o). Determine t(i(m)).\nAnswer: -9604*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-5)\/65 + (-3510054)\/(-702)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 904\/30 + (-2)\/15. Suppose 25*z = u*z - 135. Calculate the remainder when 75 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5232421069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 924005 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 3127\/5?\nAnswer: 3127\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 194\/57 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Let u(i) = 23*i + o*i**2 - 23*i. Let t(d) = -4*d**2 + d**2 + 3*d**2 + 4*d**2. Calculate u(t(v)).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + sqrt(125) + sqrt(125)*-2*-2 + 2))**2.\nAnswer: 4000*sqrt(5) + 50400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328*g - 91 + 437*g - 36 wrt g.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01751657005 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:45 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k**5\/7 + 1205704*k**4 + 132228392*k**3\/7 + 64707968*k**2\/7 - 289777436*k\/7 + 84401160\/7 = 0. Calculate k.\nAnswer: -15, -2, 1\/3, 1, 703343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 535865 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.94 - 0.06. Let f = -47.6 + 48. Which is the nearest to 2\/3? (a) f (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42252 by 3.\nAnswer: -14084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -2*h - 11*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -35*x - 452. Calculate y(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v**3 - v. Let p be u(1). Let j(a) = 3*a - 10. Let m be j(-6). Let r = p - m. What is the greatest common factor of r and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pooo when four letters picked without replacement from {p: 3, o: 5, m: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661776 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p - 497 + 467 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 632804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 14*k - 15 = 0. Let p be k - (-2 - -4 - 4). Suppose -f + 107 = p*a - 0*a, 5*a - 98 = -4*f. Calculate the smallest common multiple of a and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -386286, -772573, -1158860?\n\"Answer: -386287*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*t + 303*t - 393 = 0. Solve -t = 3*p - 387 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3931*z - 66819. What is s(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -46*m**3\/3 - m**2 - 37. Let h(c) = -c. Calculate h(n(f)).\nAnswer: 46*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-17)*z)*z*z*z**(2\/11)*z*z*z*(z\/z**(-10)*z*z)\/((z*z\/z**(-21))\/z) assuming z is positive.\nAnswer: z**(145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 - -4. Suppose 0 = -8*k + 2 - 10. Let y be 1 - k - (-160)\/(-60). What is the biggest value in -8, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18 - 11 - ((-27)\/(-1))\/3. Let c be 5\/(10\/(-44)) + 1. Let t be (-7)\/c + 1\/(-3). Put t, n, -6 in decreasing order.\nAnswer: t, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-4\/3))*o)\/(((o**(-1\/4)\/o)\/o)\/o)*(o**(-8))**(-41) assuming o is positive.\nAnswer: o**(4003\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*s = -10, 5*n - 3*s - 15 + 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f = -27*f - 18*f + 83. Which is the nearest to 0.1? (a) -0.4 (b) -4\/3 (c) 10 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, 113, 4 in decreasing order.\nAnswer: 113, 24, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73793573?\nAnswer: 7, 10541939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose 0 - 6 = -x*t. Suppose -4*s = -0*c + c - 12, -2*s + 16 = -t*c. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6689 + -1812?\nAnswer: 4977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-12))\/(3\/20). Let p = m - -6. Calculate the least common multiple of p and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271829 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 27. Suppose -a*s = -17*s + 75. Solve 5*r = 3*z + s, 0*z + 19 = -5*z - 3*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 940623760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4)*40\/(-30) - -15. What is the greatest common divisor of 39 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w - 4. Let j(i) = -5*i**3 + 42*i**2 - 49*i + 152. Let y(f) = -4*d(f) + j(f). What is y(41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*t + 2 = 2*t, -5*j - 3*t = -19. Let w be 2*(1\/j - -2). Let q(c) = c - 3. Let v be q(6). Solve v = 2*s - 5*r + 1, 1 = s - w*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -36. What is the remainder when 45\/m*((-120)\/(-9))\/(-4) is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -133c97a3 + -3?\nAnswer: -133c97a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 730, 1711, 3120, 4975, 7294, 10095?\nAnswer: 13396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 230 = -6*f. Suppose f = 3*w - 20. Solve -2*y + 9*y = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*c = 24, -c + 6*c - 26 = -2*k. Let b be (-2)\/k - 182\/(-39). Let v(m) = 5*m**2 - 3*m + 3. Let j(n) = 6*n**2 - 4*n + 4. Determine b*v(o) - 3*j(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (3\/2)\/((-177)\/36 - -5) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207 + -107. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2, 239, -0.94, 0.1, 461, -1\/4?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Factor 84*n**4 + s*n**3 - 81*n**4 + 0*n**3.\nAnswer: 3*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and -141.\nAnswer: 19.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -3 (c) 1 (d) 5 (e) -4 (f) -1 (g) 41458\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 6*s**2 - 4*s + 9. Calculate the remainder when 90 is divided by o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 9. Let t(y) = -7*y. Let u be t(1). Let b be j(u). Find the common denominator of -29\/18 and b\/(-12)*(-133)\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 54*g**2 + 300*g + 504. Let f be n(-59). Does 187 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 14. Determine l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5091, -1, -22, 2, -2 in ascending order.\nAnswer: -5091, -22, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 12*x + 20 - 59 + 39.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 931 - 9*f - 931 + (-2*f + 5*f - 2*f)*(0 + 1 + 1) - 4*f + f + 4*f in the form x + g*f and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12.1581 and -28?\nAnswer: 40.1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.2, -3, -1\/2113, 21, 0.2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-30 - -15)) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 26*l. Let b = 1139 - -2092. Let w(z) = z + b - 3231. What is o(w(j))?\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6594.\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358999 divided by -358999.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111100010000110101111 (base 2) to base 8.\nAnswer: 27420657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 188, 406, 702, 1070?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 50*c**2 - 594*c - 456. Give z(-17).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 12588. Let t(v) = -57*v. Give t(u(l)).\nAnswer: -57*l**2 + 717516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 93 = -3*d, -48 = 3*d + 5*j + 15. Let n = 51 + d. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 0.17158895\nAnswer: -0.13727116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2863 and 63.\nAnswer: 25767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6050 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1063 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 772, -16, 5.\nAnswer: -16, -4, 5, 9, 772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 - (-54 - 4)) + (48 - 0) + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Suppose 4*n + 300 = 4*p, w*n - 174 = -2*p - 0*n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149504 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 - 3*l**2 - 2*l + 2. Let n be f(-2). Let z be (n\/70)\/((-6)\/(-4)). Let t be 2\/4 + 1\/(-4). Which is the closest to z? (a) t (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*k = -7, 2*c + 185751*k + 46 = 185757*k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/377 and 14\/13?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39.7823 or -2?\nAnswer: 39.7823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s*s**(-1\/10)\/s)\/s)\/s*s)\/s*s)\/s*s**8)\/(s\/((s\/(s**1*s)*s)\/s))**(-11))**10 assuming s is positive.\nAnswer: s**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 9, -2*b + n + 42 = 7. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*u - n, -1 - 42 = -2*u - n. Suppose 1904 = u*y - 11*y. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1) + 6\/(-8). Let f = 11.7 - 5.4. Let l = 6 - f. Which is the closest to 1? (a) -1\/4 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*c - 51376 = 0, -3*m = c - 25130 - 5694. What is the thousands digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -350*g + 335*g + 120 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (1 + -2)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155098651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11885 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20626384 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 4*u. Let l be ((-15)\/(-105))\/((-1)\/(-4)). Let -l*t**2 + u*t + 2*t**3 + 0 = 0. Calculate t.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1140 and 4560?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmmy. What is prob of sequence ymy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10474*c. Let w(p) = 3*p. Determine b(w(n)).\nAnswer: -31422*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 251 - 299. What is the common denominator of 74\/3 and (-2)\/(-35)*(-150)\/v*-34?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 138. Which is the second smallest value? (a) -2 (b) h (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82992 is divided by 238.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = 14*g - 1980. What is the smallest common multiple of 44 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 85*j + 38 = 89*j, -5*l + 40 = 2*j for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*2*sqrt(1872))**2.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5887867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18129 is divided by 412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(209) + sqrt(209) + ((2*sqrt(209) + sqrt(209))*-2 - sqrt(209)) + sqrt(209))\/(-4*sqrt(891)).\nAnswer: sqrt(19)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*1\/10)\/((-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1081 * 196.\nAnswer: 211876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 13201 + 299201. What is d rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -4*q**6\/3 - q**2\/2 - 6. Find the second derivative of o(a) wrt a.\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 735937*n**3 + 541612099141*n**2\/2 + 3249593114082*n + 9748699861698.\nAnswer: (n + 6)**2*(n + 735931)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*a - 1425412 = 1619466. What are the prime factors of a?\nAnswer: 37, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.053258+413\nAnswer: 412.946742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 6. Let l be d(6). Let r(z) be the first derivative of -1\/2*z**2 + 17 + 0*z + 1\/3*z**3. Let b(y) = 7*y**2 - 5*y - 2. What is l*r(q) - b(q)?\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**6\/3 - 202*l**5\/75 + 193*l**4\/30 - 94*l**3\/45 - 32*l**2\/5 + 24*l\/5 - 41. Find q, given that s(q) = 0.\nAnswer: -2\/3, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4763457.416 to the nearest 1000.\nAnswer: -4763000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7549282 and 1236?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -26. Let g be r\/(-2*4\/40). What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n = 230. Suppose 2*a - n = -3*a. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*48\/54*(10 + 66\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k + 3 + 0 + 1 - k + 3*k + 0*k + (-3 + 2 + 0)*(6*k - 3*k - 2*k) to x + h*k and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:13 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -121, -112, -91, -52, 11?\n\"Answer: v**3 + 2*v - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240547117 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -18 (b) 210 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 2*u**2 + 26. Let v be c(0). Differentiate -y**4 - 10 + v*y**4 - 9*y**4 wrt y.\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 821523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n**3 - 5*n**2 + 6*n - 2. Calculate c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1135, -1213, -1355, -1561, -1831, -2165?\nAnswer: -2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + j + 10. Let o be c(0). Let d be (15\/o)\/((-3)\/8). Let p = 0.2 + 0.8. What is the closest to -2 in p, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -9 + 5 + -3 + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 2866099\nAnswer: 17\/2866099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 3 (c) 4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 27*k**2 - 58*k - 158. Calculate the remainder when 291 is divided by n(-25).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 1:57 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*h = h + 443, -3*y + 2*h + 1296 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2115 + -609. What are the prime factors of m?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - 6*r - 5. Suppose -4*j = -s - 92, 3*s + 12 + 0 = 0. Let a be j\/3 - (-24)\/(-18). Give v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31518, -252232, -851324, -2017980, -3941386?\nAnswer: -6810728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 183 (c) -1.7 (d) -2\/19 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -182805*r**4 - 120273?\nAnswer: -731220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.69586 millilitres to litres.\nAnswer: 0.00469586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.332 - -1.4. Let h = y + -0.028. Let b = -0.08 + h. What is the smallest value in 0.3, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 8. Let k be -9 - (-1*3)\/(-3). Let x be p(k). Suppose 3*a - 52 = 14. What is the greatest common factor of a and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 705 and 78253402?\nAnswer: 1173801030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/(-3 + -2) + (-1)\/1. Let j be 13\/y + (-10)\/40. Does 14 divide 81\/j + (-1 - 0)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {q: 5, e: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*v**4*z - v**4 - v**3 - 2*v**2*z - 451*v*z wrt v.\nAnswer: 1992*v*z - 24*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/48 and -45\/372664.\nAnswer: 2235984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (1 - (-2 - -475)). What is t rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841910737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*a + 15 + 42, 21 = 2*s + a. Let x(r) = 2*r**2 - 6*r - 6. What is the remainder when x(5) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 9. Suppose -w + 4*x = -6*w - k, 20 = 5*w - 2*x. Suppose -2*l - w*v = 2*v - 6, 3*l = 5*v + 53. Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(84))\/(sqrt(108)\/(1*sqrt(9))))**2*2.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -13*y**7\/14 - 61*y**4\/12 + 11*y + 2. What is the third derivative of d(n) wrt n?\nAnswer: -2340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2107*j + 2107*j + 11*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 3*o - 3. Let n(i) = -i**2 - 3*i + 4. What is 6*d(z) + 5*n(z)?\nAnswer: 7*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:29 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000157607 rounded to 6 dps?\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -7*y - 27. Which is the second smallest value? (a) -1\/3 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1b6?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:11 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115767 is divided by 57218?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-0.541763\nAnswer: -0.04334104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 8, -3.\nAnswer: -79, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107390097 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 600, 6 in increasing order.\nAnswer: 6, 11, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*y**3 + 354*y**3 - 409*y**3 - 1232*y**3.\nAnswer: -1531*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - g + 6. Let s(w) = -w**2 - w + 4. Let j(m) = 2*k(m) - 3*s(m). Let i(p) = -p**3 + 2*p**2 - p + 2. What is -2*i(y) - 2*j(y)?\nAnswer: 2*y**3 - 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13374329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13954070.3 rounded to the nearest one hundred thousand?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 115*x - 16. Let u be m(1). Let w = u + -84. What is the remainder when 238 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/300 + b**5\/50 - b**4\/20 + b**3\/15 - 16*b**2. Factor u(r).\nAnswer: -2*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/248 and -29\/24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 18 + 7 - (3 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 583*g**3 + 44*g**2 + 335167*g wrt g?\nAnswer: 3498*g + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 23 - 111. Calculate the remainder when 84 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5572874ng in kilograms?\nAnswer: 0.0000000000005572874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 5*d**3\/2 + 12*d. Let z(g) = 15*g + 1. Let q(v) = 3*f(v) - 2*z(v). Let x(p) = 2*p. Calculate q(x(w)).\nAnswer: 30*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {s: 2, g: 2, w: 2, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -43. Let k = -28.5 + s. Sort 15, k, 2\/15 in ascending order.\nAnswer: k, 2\/15, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-333))\/((-2700)\/49950).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*l**2 + 131 - 131 + (5*l + 7 - 7)*(-3*l + 2*l + 3*l) to m + n*l**2 + a*l and give n.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 4 (c) -2\/11 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11381 - -53122. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnsnssmmsmm. Give prob of picking 1 n and 2 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -367, 0, -27 in ascending order.\nAnswer: -367, -27, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0955 + 0.1955. Let v = 0.71 + 1.79. Which is the fourth smallest value? (a) -0.1 (b) v (c) p (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 8535 = 4*c + 16*l, 4*l - 8556 = -4*c. Let p = -1274 + c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyc when three letters picked without replacement from {c: 2, k: 1, b: 1, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((13\/(-2))\/(6\/8))\/((-1212)\/(-1818))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -13, -1, 1, -213 in ascending order.\nAnswer: -213, -13, -9, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 337621427 a multiple of 3029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d - 192*d**3 + 189*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 10*a**2)*(99 - 99 + 49*a) in the form l*a**3 + c*a + h + p*a**2 and give l.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 8*p + 1242. Let k be c(-23). Let o(r) = r**3 + 6*r**2 - 6*r + 9. Let u be o(-7). Suppose -h = -u*h. Solve k = x + 3 - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s**5\/7 - 75028*s**4\/7 + 81636*s**3 + 315604*s**2\/7 - 571432*s\/7 - 34368 = 0. Calculate s.\nAnswer: -3759, -1, -2\/5, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58\/9 in -4, -0.2, -0.05, -2\/17?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1304995 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from ffjfofoeeeaoo.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68) - sqrt(17)) + sqrt(17) + sqrt(136)\/sqrt(8)*-1 + (1*(sqrt(51)\/sqrt(3))**2 + -2)*-1.\nAnswer: -15 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = 4*w, -4*w + 4 - 2 = u. Let x(j) = 4*j. Calculate x(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 5, 108, 2 in decreasing order.\nAnswer: 108, 45, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 121744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -5\/12, -1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4932*m + 34. Let v(l) = 1645*l + 12. Calculate 6*d(b) - 17*v(b).\nAnswer: 1627*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 935 + -63581\/68. Let r = -9\/34 - n. Which is the nearest to r? (a) -4 (b) -0.06 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*m**2 + 4)*(-3*m + 7*m - 2*m + 36*m**2) as z*m**2 + y*m**4 + p + d*m + v*m**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 610\/35 + (-8)\/(-14). Let a = u + -29. Let x = a - -26. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3184303, 3184299, 3184293, 3184285, 3184275?\nAnswer: 3184263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2 + 2*z - 2*z + 8*z**2 + 3 - 2*z. Is v(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3741814*n**4 + 875041 wrt n?\nAnswer: 14967256*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353863 at most 6353860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2268*l + 251768. Give u(-111).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74251839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/201?\nAnswer: 4\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6*v = -36. Let a = v + 12. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3346 - -3344. What is the closest to m in -1\/31, -2\/9, 3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22395660 to the power of 1\/2, to the nearest integer?\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7932193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 less than -161?\nAnswer: -158.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461577 is divided by 5697?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**3 + 342*c**2 - 82*c + 111. Calculate t(-43).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 402579516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from kolovv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6dc (base 14) to base 6.\nAnswer: 10202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + 2\/8. Suppose 4*i + k - 19 = h, 5*k = -4*i + 27 + 4. What is the units digit of (-87)\/(-12) - 1\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2539*f - 1493. Does 54 divide h(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349458 at least 5940804\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3090 + i + 203 - 404.\nAnswer: i + 2889","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + v - 1 + 3)*(-15*v - 20*v + 9*v).\nAnswer: -182*v**2 - 52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 10 + ((-3770)\/468)\/(16 + 1520\/(-96))\nAnswer: -118\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/7 - 16\/(-14). What is the second smallest value in -3, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/2 + 12*n - 297\/2 = 0 for n.\nAnswer: -33, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -664141052 + -4?\nAnswer: -664141056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 + 237. Suppose o - 51 = -i, -5*i + x*o = -6*i + 59. Calculate the remainder when i is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 105*m = -109*m - 162, 3*h + 5*m = -201 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 4017 = -7*g - 8*g. Calculate the highest common divisor of g and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 31*(-1 - 3 - -2). Let z = k + 62. Suppose -3*q - 3 + 18 = z. Solve q*t + 6 = 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6*i - 7*i + 38 = 0, -i = -4*z + 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294743 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - -49.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 1, 0*a = -2*v + 3*a + 107. Suppose -5*r = f - 0*r - 6, 20 = 2*f + 2*r. Calculate the highest common divisor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/7 (c) 61 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37910403?\nAnswer: 3, 571, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcc when three letters picked without replacement from clc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/249 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 438\/973 - 3\/139. Let a = 9.99 - -0.01. Let t = -6 + a. What is the closest to 0.1 in 2, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.86 + -2.86. What is the biggest value in 1, u, 5, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -31) + (1 + -1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + 3*z + 8 = 0, 5*i - 10 = -2*z. Suppose 5*j = i*j + 6. Let s(d) = 0*d**3 - 3 - 8*d**j + 3*d**2 + d**3 + 5*d. Determine s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-14) - 55407\/22484?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12601886 (base 9) in base 16?\nAnswer: 5ea100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 164?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68d19 + -5?\nAnswer: -68d1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 9.4, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1376+194411\nAnswer: 193035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 2*a - a**2)*(a**2 + 4*a - 4*a)*(6 - 12 - 8) in the form d*a**2 + n*a**3 + k + y*a**4 + t*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12870)\/(-420))\/((-12716)\/(-2023)).\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lynnyznxnxzaya. Give prob of sequence zzxx.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 12:10 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1\/(-6) - (-759)\/414. Is (-8 - -8295) + m - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 less than or equal to -382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 149446*z**2 - 62867 wrt z?\nAnswer: 298892*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 - 106 + 224 - 129*u.\nAnswer: -129*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331 + -80. Let f = 255 - o. Which is the nearest to 5? (a) f (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49787 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4606 + 6?\nAnswer: -4600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*(sqrt(475) + 0) + (sqrt(475)*-2*2 - sqrt(475)))*3 - -6*(-5 + 3 + -1 + sqrt(475)))**2.\nAnswer: -1080*sqrt(19) + 17423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/15 - 2\/15. Let q = 4571 + -4575. Which is the closest to h? (a) -1\/3 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -45. Suppose 4*h + 5*x - x - 28 = 0, 3*x = 3*h - v. Calculate the least common multiple of 35 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03826675 minus -27374.67?\nAnswer: 27374.70826675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-17)\/5)\/(11 + (-78)\/7). Let s = i - 1061\/45. Which is the fourth smallest value? (a) -2\/9 (b) 3\/5 (c) -2\/89 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/1 - (-6621)\/(-139854). Let w = v + 4\/2119. Calculate the common denominator of w and (-121)\/24 - (-16)\/24.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5818218 years in months?\nAnswer: 6.9818616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5965973.\nAnswer: 13, 458921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2, 1, 5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = -l + 4*x + 249, -3*l - 3*x = 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21301 (base 4) to base 5.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1233.01 + 1233. Let i(z) = z + 2. Let u be i(-3). What is the closest to q in 0, -0.01, u?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 62 (c) -1858 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1) - -1 - -5. Suppose p + 1 = 4*l. Find the third derivative of -4*a**2 + 3*a**l - a**4 + 3*a**2 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(3*s - 10*s - s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14cd1 (base 14) in base 7?\nAnswer: -304251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.54, 1\/12, -1\/6, 14?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 27*b**2. Let q(y) = 2*y - 6. Let r(d) = 4*d - 10. Let a(c) = -5*q(c) + 3*r(c). What is a(o(m))?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109630544?\nAnswer: 2, 229, 29921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(4*sqrt(48)\/sqrt(4)))\/(3*(sqrt(56)\/sqrt(8) + sqrt(7))*-4).\nAnswer: -sqrt(5)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -55*z**6\/6 - z**5\/5 - 117*z**2\/2 + 35. What is the second derivative of r(i) wrt i?\nAnswer: -1100*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -49*f + 40. Let a(o) = -58*o + 44. Let q(v) = -2*a(v) + 3*w(v). Determine q(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12971 and 15589?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 20. Suppose 154336 = 2*i - v, t*v = 4*i - 2*i - 154342. Let l = -178167 + i. What is l rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84067*i**2*x**2 + 2*i**2*x + 27383*i*x**2 wrt i.\nAnswer: -168134*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87*c**3 - 2*c + 1 - 11*c**2 + 86*c**3 - 169*c**3 - c**3 - c**3 + c**3 + (-2*c - 4 + 4)*(2*c**2 - 1 + 1) + 1 - 1 + 2*c**3.\nAnswer: c**3 - 11*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 4.9 in increasing order.\nAnswer: 4, 4.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 3*b**2 + 8*b + 3. Let g be a(-5). Suppose 4*p - g = -1. Suppose p*q - 5*r - 41 = 0, -7 = -q + 7*r - 2*r. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 23*z**2 - 6. Let u be w(-23). Let y be u*(-3 + (-25)\/(-10)). Solve -5*t = -y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*o - t + 31, -2*t - 88 = -4*o. Solve m + 12 - 16 = 0, -2*i + 4*m - o = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*k**6 + 2*k**2 - 86*k wrt k.\nAnswer: -25200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -615 = 2*d + 3*d. Let n = d + 127. Solve u - 3 = 2*p, 3*u - n*p - 21 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41*y - 380*y - 121*y)*(-2*y**2 + y**2 - y**2) to k*y + n + p*y**2 + b*y**3 and give b.\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -160 + 61. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40003*h + 7681*h + 2 - 2.\nAnswer: -32322*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -2 - 2\/8. Let s = 1.94 - -0.06. Let b = -2.1 + s. What is the closest to 1 in -2\/5, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6603412 and 9?\nAnswer: 59430708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 4 (b) 0.2 (c) -1\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36, -19, 10, 51, 104, 169?\n\"Answer: 6*x**2 - x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/3 + 32*m**3\/9 - 10*m**2\/3 - 4*m = 0. Calculate m.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 69 * 16851\nAnswer: 1162719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 846*j**2 + 1155*j**2 + 1110*j**2 - 2490*j**2 in the form q*j + b*j**2 + s and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7920.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 31 = 6*y - 4*o, 0 = 5*y - o - 19. Suppose -y*s - 2459988 = -4*m, -s + 2*s = m - 819997. Round s to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407 + 6*c**2 + 69 + 2*c**2 - 188 + (3*c + 0*c - 2*c)*(-4*c + 3*c + 0*c) to x + p*c + d*c**2 and give x.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 - 57*n**2 + 40 - 3*n**2 - 4 + 2*n + 42 wrt n?\nAnswer: -120*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 12:54 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l**2 + 16 - 2*l**3 + 4*l**3 - 14. Let m(c) be the third derivative of c**6\/120 - c**5\/15 + c**3\/6 - 5*c**2. Give -4*i(g) + 9*m(g).\nAnswer: g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -864930.874 to the nearest one hundred.\nAnswer: -864900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 163bc6?\nAnswer: -163bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 2*m + 4. Let x(h) = 10 + 2*h - h**3 - 9*h**2 + h**2 - 8*h. Let b be x(-7). Give f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 817906 divided by -10\nAnswer: -408953\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522*j - 18 = -531*j. Suppose -p + 3207 = j*p - 3*s, 2*p - 5*s - 2126 = 0. What is the highest common divisor of 58 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15741\/(-954)*(-8)\/30*10.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*3)**2*-2 + sqrt(171).\nAnswer: -3078 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 31*z**2 - 1. Let u(q) = q**3 + 4*q**2 + 1. Let k be u(-4). Let b be t(k). What is the units digit of (b\/(-24))\/(2\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjldwssswdslswls. What is prob of sequence dswd?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 29*f**3 + 5*f**2 - 184*f + 358. Let x be g(2). Calculate the greatest common divisor of 1749 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07263782 to five dps.\nAnswer: 0.07264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 557, 842, 1135, 1442, 1769, 2122, 2507?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 36. Let x be t(-12). Let p(z) be the second derivative of 0*z**4 + z**2 + x - 1\/20*z**5 + 1\/6*z**3 - 3*z. Determine p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21988.\nAnswer: 2, 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123 by -10.\nAnswer: 123\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -8 (c) -3\/4 (d) -2 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-126)\/(-108) - (-2)\/(-12). Let f be m\/(4 + -5) + -6. Let c(y) = y**2 + 6*y - 3. List the prime factors of c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7760920 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 4.5.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/60 - 180\/(-120)) + 286\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144017456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 5*t**2 + 3*t + 7. Let l be w(5). What is the tens digit of (-2)\/(-11) - (-832)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 9*v - 114. Determine d(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -31*q - 24*q + 115*q - 29*q - 33*q. Let z(r) be the third derivative of -3*r**5\/20 + r**3\/3 + 6*r**2. Calculate i(z(k)).\nAnswer: 18*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7291, 31\/2, -2, -2\/7, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 4*m + m + (2 + 3 - 4)*(2*m - 5*m + m) + 0*m + 2*m - m + 3*m + 2*m - 6*m - 7 + 7 - 4*m + (-3*m - m + 2*m)*(93 - 61 - 73).\nAnswer: 78*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1028 + -729. What are the prime factors of b?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -160*v - 8. What is the tens digit of r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let y = z - -1. Suppose y = -4*u + 75 - 15. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1127423 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135.94 + -136. Which is the biggest value? (a) -6 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/56 (b) -92 (c) 1\/9 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10893 + -10898. Let x = 4.1 + -4. Which is the nearest to -17\/5? (a) n (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2344 divided by 4.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 0) + -23 + 71 + -41 - (42 + 1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/12*((-4 - -3) + 3). Let f(m) = -m**3 - 9*m**2 - 9*m + 5. Let q be f(-8). Which is greater: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = -17*w - 1068. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6 - 0)\/(62\/744). Suppose 395 = p*j - j - 4*k, -2*j + 4*k + 262 = 0. Calculate the remainder when j is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s)\/s*s**(-3\/2))**(-3\/7)\/(s**0\/(s*s*s**(-1\/4)))**17 assuming s is positive.\nAnswer: s**(827\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + sqrt(171).\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*z + 8*z - z**2 + 9*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(170) - -2*sqrt(170)) + sqrt(170)) - (-2*sqrt(170)*4 - sqrt(170)))\/(2*sqrt(250) - 1*sqrt(20)\/sqrt(2)) + -2)*1*4.\nAnswer: -8 - 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = -4*l. Let j(k) = k + l - 3 + 0*k. Let y be j(-8). Sort y, -3, 0 in descending order.\nAnswer: 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 329 - 329.1. Let v = 17863\/5 - 3513. Let g = -60 + v. What is the closest to n in g, 1, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2583.6 + -2584. What is the nearest to -0.1 in -2, 2, 6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43, -69, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/88151 and -41\/5831.\nAnswer: 1498567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i. Let y be (305\/(-1464))\/(5\/(-2)). Let z(c) be the third derivative of 0 + 0*c**3 + y*c**4 + 0*c - 21*c**2. What is z(d(m))?\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 2*q + 3*i, 2*q - 3*i + 6 = 0. Suppose 5*j - q*j - 56 = 0. Calculate the highest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 7. Let p(s) = 7*s + 8. What is -6*n(b) + 5*p(b)?\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) 83 (c) -2\/617 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-10) - 6\/(-15). Let x = -1 + h. Differentiate 0 + x + 0*y - y with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326\/(-1040) - (-1410)\/752.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2\/(-6) + 124\/12). Let r be j*(-46*1)\/1. Suppose 0 = 5*m + 25, -3*m - m - r = -4*b. Does 40 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593.1306 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*p - 4779 = 234*p. Solve p*r - 57*r + 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g - 65. Let u(m) = 119*m - 264*m + 133*m + g + 2*m**2. What is the tens digit of u(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212012, 212047, 212082, 212117?\nAnswer: 212152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*o - 0*o + 1, -5 = 5*o + 5*s. Determine t so that -13\/6*t - 19\/3*t**3 + 16\/3*t**o + 11\/3*t**4 - 5\/6*t**5 + 1\/3 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14*-6)\/(6 + -5). Let n be (-8)\/(-20) + d\/(-15). Let g = 15 + -11. Solve -s + n*t - t = -13, g*s - 4*t = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -42.46. Let g = -1.46 + o. Let s = -0.04 + -0.06. Which is the closest to s? (a) 0 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -33*u**2 + 140*u - 226. Let d(m) = 15*m**2 - 69*m + 114. Let x(q) = 6*c(q) + 13*d(q). Factor x(n).\nAnswer: -3*(n - 2)*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**2 - 13*k + 30. Determine o(-7).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*s**3 - 29*c*s - 37461*c - 77402*s**3 + 7*s wrt c?\nAnswer: -2*s**3 - 29*s - 37461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/185 - -367\/555. Which is the third biggest value? (a) -7 (b) 1 (c) -0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-334)\/16 + 58\/(-464).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5639 divided by 17.\nAnswer: -5639\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 11. Suppose -2*s + h = -s. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176)*-6)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -21*a**2 + 2. Let s(j) = 13*j**2. Determine q(s(w)).\nAnswer: -3549*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -p + 47. Suppose -5*w - 349 = -2*o - 1004, -3*w + 5*o + 412 = p. What are the prime factors of w?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21286 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 f = -14 - -9. Let n = 0 - f. Let x(i) be the second derivative of i**3\/2 - 3*i**2 + i. Let d(w) = 2*w - 4. Calculate n*x(k) - 7*d(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*c - 9, 2*c + 2 - 8 = j. Suppose -s - 8 = c*l, -4*s + l = s + 24. Sort 4, s, 3.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - 65\/(-2). Suppose p + 0 = k. Calculate the remainder when 95 is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/168 and 86\/238959.\nAnswer: 1911672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 536.1 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03557852 + 29252.57442148. Let y = l - 29065. Let s = 191 - y. Round s to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1285*l = -1272*l. Solve -5*h + 105 - 75 = l for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/15 + 376*h**4\/3 - 15134*h**3\/15 + 32212*h**2\/15 - 1264*h = 0. Calculate h.\nAnswer: -948, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n + 3*n)*(36*n**2 - 49*n**2 + 110*n**2).\nAnswer: 194*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwiiiwwwwwiwwiiw. What is prob of sequence wi?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 510 = -4. Solve -r*y + 120 = -16*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8862 - -8861.8. Let r = 0.9 - 0.9. What is the biggest value in r, -1, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/3 + 124*u. Let t(m) = -6*m**2. Determine t(f(n)).\nAnswer: -96*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 35*w + 909 = 0. Let q = w - -4543\/15. Which is the nearest to -0.3? (a) 2\/15 (b) -1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*o + o - h, -2 = -o - h. Sort 2, -5, o in decreasing order.\nAnswer: 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96163890 to the power of 1\/2, to the nearest integer?\nAnswer: 9806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -8, -0.1, 0.28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.64 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 48 = -4*u. Let x be 19\/4 - 6\/u. Suppose -i + 453 = x*k, -5*k + 4*k + 95 = -2*i. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*o - 6*o. Suppose o*p - 55 = -5*s, 8*p = 10*p - 10. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-4)\/(12\/(-9))). Let d = -3748 - -3778. What is the third smallest value in p, d, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - w = 34, -3*v - 3*w - 54 = -0*v. Let t = 20 + v. Suppose -3*p + t*p = -4*f + 72, 0 = -3*f + 2*p + 65. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.9 - -19. Let f be (-1 + 0)*6\/(-27). What is the second smallest value in 1\/5, o, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:32 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564 and 121729812.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/3*(-18378)\/(-12252).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 544 + -539. Which is the second biggest value? (a) f (b) -28 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1826 divided by -1763\nAnswer: -1826\/1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789108.\nAnswer: 2, 3, 19, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.96999332 - -1.97. Round p to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7*g - 45 = 0, x - 15 = -5*g + 16. Let y be 3\/(-2)*6*1. Let o be -6*(12\/y)\/2. Put -2, 3, x, o in ascending order.\nAnswer: -2, x, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1001, 1012, 1021, 1028, 1033?\n\"Answer: -d**2 + 14*d + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let i be 3 - p - (-62)\/24. Let b = -5\/12 + i. What is the second smallest value in 1\/4, b, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 5*u + 24. Let a be g(7). Let s = -197 + a. Solve -13*r + 4 = -s*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 7*o + 4. Let k = -2623 - -2584. Let m(x) = -8*x**2 - 2*x + 3. Let u be m(2). Let v = k - u. Calculate n(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 4. Let z be m(2). Suppose -11*n + 7*n = -z. Solve 0*a - a + 16 = -4*p, -p - n = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11096210 - 9?\nAnswer: 11096205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 35*p**2 + 45*p - 185. Is y(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 362568?\nAnswer: 1812840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 728818 to the power of 1\/2, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82670.\nAnswer: 2, 5, 7, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2575 - 2577. What is the closest to 2\/7 in -193, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5251 and 4307.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -51. Solve y*m + 5 = -4*l, 0*l + 5*m = -l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (7 + (14 - 22 - 17) - 2)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15523998719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.959 - 0.041. Sort 0.5, -1, z, -0.4.\nAnswer: z, -1, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {q: 6, v: 2, i: 7, n: 1, l: 1, r: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36053533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 22. Let f = h - 35. Suppose -3*j + 3*c = -8*j + 159, -f*j - 4*c = -72. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 6\/(-3) - (-41)\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347433.\nAnswer: 3, 115811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 26 = 2*x, -6*x - 7 = -3*x - 4*k. Let o = x + 5. Suppose -o = s - 5*s. Which is bigger: 8\/11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387031 <= 387033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67272050407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170 - 0?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-2 + 2 + 1)*(9 + 13 - 7)*(-2 + 2 - 2*j).\nAnswer: 120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/20 + 3*w**2. Let n(c) = -4*c**2 + 5*c**2 - 2*c**2. Give n(i(q)).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l - 9*l + 10*l + 525 = 0 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 392*p**5*v - 2*p**2*v - p**2 - 6*p wrt p?\nAnswer: 23520*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139472 - -18689151\/134. Find the common denominator of k and 61\/20.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*r**3 - 173*r**3 + 417*r**3.\nAnswer: 29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -7291 + 865. What are the prime factors of c?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/21)\/(0 + 7 + (-320)\/64). What is the closest to -0.15 in 0, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195\/2 + 96. Which is the second smallest value? (a) g (b) -1\/4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 31*u**3 + 15*u**2 + 5*u + 2. Let i(p) = 46*p**3 + 21*p**2 + 8*p + 3. Determine 5*i(f) - 8*x(f).\nAnswer: -18*f**3 - 15*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 4930836*t**2 + 1519445734560*t - 77504558097600.\nAnswer: 4*(t - 51)*(t + 616380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 264*h - 12. Let d(b) = -b**3 + 13*b**2 - b + 8. Let o be d(13). Let j = o + 13. Let w be v(j). Round w to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944015919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/450*-9)\/((-352)\/(-10)). Let u = -30 + 26. What is the fourth smallest value in 3, -3, z, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*c + 5)*(-4 + 2 + 4) + 0 + 0 + c + (-2 + 1 - 1)*(-c + 4*c - c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5650873.\nAnswer: 151, 37423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -0.1, -2\/35, 2, 2\/45, 0.3.\nAnswer: -39, -0.1, -2\/35, 2\/45, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*(-3)\/(-27))\/(4\/(-24)). Suppose 3*f - 42 = -3*k, -3*f - 30 = -3*k + r*k. Suppose -19*q = -6 + 6. Sort k, 1, q.\nAnswer: q, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let f be s + (1 - 2 - -1). List the prime factors of (f\/(-4))\/((-5)\/(-460)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 255*s - 205*s - 6*u - 562, 5*u = -3*s + 23 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {n: 7, e: 1, f: 6, l: 1, x: 2}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-84))\/(481\/(-2886))*-21. Let -2\/9*l**4 - 2\/9*l**q + 0*l + 0 + 4\/9*l**2 = 0. Calculate l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + z + 0*z - 3*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - -12. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 9*x + 4. Let c(g) = -g - 1. Let h = -340 + 336. Calculate h*c(z) - p(z).\nAnswer: -z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6*b**4 + 4)*(b - 2*b + 4*b).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -186, 3\/5, 6514, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4107\/94 + 9\/47. Let w = 45 + n. What is the biggest value in w, 1\/5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20982 and 3120?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5183079?\nAnswer: 3, 11, 17, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 - -141. Is (j + 6\/4)*-3886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -5 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - p + 28 = 0. Is p at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2359*b**4 - 2447 wrt b.\nAnswer: 9436*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*h + h**3 + 40*h + 2)*(-4 + 7 + 1)*(-1 + 1 - 2*h) as l + t*h**4 + w*h**2 + z*h + c*h**3 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -16*i**5\/5 - 4*i**3 - 13. What is the third derivative of k(u) wrt u?\nAnswer: -384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-5) + 117788\/13385.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 4, o: 2}. What is prob of sequence oao?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*2 - sqrt(95))*2*-6)\/(sqrt(180) + sqrt(5) - sqrt(90)\/sqrt(2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198413 is divided by 314054.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11679 + 525557\/45. Which is the third smallest value? (a) -0.5 (b) s (c) 0.04 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9904 by 10613.\nAnswer: -9904\/10613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let f be (h\/70)\/((-5)\/25). What is the third biggest value in f, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -4\/5*a**5 + 0*a**3 - 13 + 0*a + 2*a**4 + 0*a**2. Factor z(t).\nAnswer: -4*t**3*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7413801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5\/3 (c) -0.5 (d) -14\/989 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyryyyyyyyyr. What is prob of picking 3 y and 1 r?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(567))*-4 + 1)**2 + (-4*sqrt(252) - (sqrt(7) - sqrt(63))*1).\nAnswer: 194*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 + r - 13. Let a(t) = -t**3 - 13*t**2 + 9*t - 70. Let p be a(-14). What is o(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80097711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:15 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5eab + 2?\nAnswer: 5ead","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3841 (b) 0.5 (c) -206\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0 = 4, -5*d = -2*i - 8. Find the third derivative of -6*z**3 - z**3 + 5*z**3 + 4*z**d wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {q: 1, f: 1, c: 2, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 - 84287.\nAnswer: -84255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 + 127. Let h = 8 - 22\/3. Put g, h, 0.2 in decreasing order.\nAnswer: g, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 3\/5, 0.1, -39, 0.2, -357 in descending order.\nAnswer: 3\/5, 0.2, 0.1, 0.04, -39, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0469 minus -38488?\nAnswer: 38488.0469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d**3 - 2*d**2 + 2*d - 4. Let r be (-6)\/39 - 37\/13. Let b be c(r). Is (b\/6)\/(4\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 22235971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 + 8*d + 5 - d**3 + 6*d + 4. Let v(f) = 574*f + 5747. Let s be v(-10). List the prime factors of n(s).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 - 7*k - 4. Let l(o) = -3*o**2 - 8*o - 5. Let x(p) = -3*l(p) + 4*m(p). List the prime factors of x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (4 - 5)) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*i + 3*s = -280*i + 14, 10 = -3*i + s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 h(t) be the first derivative of t**6\/40 - t**5\/30 + 3*t**2 + 8. Let s(d) be the second derivative of h(d). What is the third derivative of s(v) wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 450898 - 176457. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -886.594 rounded to the nearest integer?\nAnswer: -887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnean. Give prob of picking 1 a and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13215204 (base 7) to base 14\nAnswer: -238774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -166166 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019631893 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463698.\nAnswer: 2, 3, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -2. Let k be (1\/33)\/(y\/12). Which is the closest to -2\/3? (a) 3 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 435.5594kg?\nAnswer: 0.4355594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 3*t + 3. Let d be k(-3). Suppose d*g - 238 = -5*c, -56 - 24 = -2*c - 5*g. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 5*r**2 - r + 1. Let f be p(-5). Suppose 5 = t - f. Calculate the smallest common multiple of t and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6 - j - 1 + 7 + 7. Let u be q(-2). What is the highest common divisor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6361384 and 4848?\nAnswer: 38168304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 414, 932, 1656, 2586, 3722, 5064?\nAnswer: 6612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -0.5 (c) -2\/13 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669 a factor of 886236112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 425 - 717. Let q = -161 - s. Let x = q + -130.999838. What is x rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423735 + -423738. Suppose 6 = -3*w - 33. Let b be (-3)\/(-6) + w\/2. Are v and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/8 + 2*r**3\/3 - 13*r**2. Determine f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d + 3. Let w(i) = -2*i. Let k(q) = q. Let n(l) = 11*k(l) + 6*w(l). What is b(h) + 3*n(h)?\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*b - 8*f + 4*f, -3*f + 10 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 - 2. Let y be p(4). Let u be 23\/6*(8 + y). Solve -7 + u = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127\/380 - 8\/95. Let r(y) be the third derivative of 1\/2*y**3 - 3*y**2 + 0*y + 0 - c*y**4 + 1\/60*y**5. Give r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1350548 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 35. Determine u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 221 = -5*v + 724 - 233 - 236, 2*z = 3*v - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 + -118. Calculate the highest common divisor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(75\/(-246)))\/(1219\/265 + -5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/60 - 13*x**4\/24 + 7*x**3\/6 + 10*x**2. Let i be d(12). Let q be -4*1*(-1)\/2. Sort q, i, 0 in decreasing order.\nAnswer: q, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(72)*-4 + (-4 + sqrt(1700))*-4)**2.\nAnswer: -3904*sqrt(17)\/3 + 255332\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 15) in base 7?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + (-180)\/(-32))*7*(-8)\/(-84).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 17*n - 21. What is v(-14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*r + 9. Let y = -46 - -29. Let m = 23 + y. Is m <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 72*p**2 - 89*p + 1282. Calculate l(71).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230778689 to the power of 1\/2, to the nearest integer?\nAnswer: 35082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-4))\/(-5))\/((-59)\/2006).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (12 + -8)*(-3)\/(-4). Let r be (-2)\/(-8)*29 - x\/24. Suppose -r*q - 771 = -10*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*(-1 + 6\/9). Let i(d) be the first derivative of -d + d**2 + 3 + 3*d - k. What is the derivative of i(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = -7. Suppose -27*w + 36 = -15*w. Suppose -50 = -w*n + 4*o, 5*n - n - 15 = -5*o. Solve 2*f = i + 4*i - z, 0 = -2*i + f + n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 4, d: 3, u: 3, j: 5, g: 1}. Give prob of sequence jub.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 + 1.8. Suppose 2*j = -2*j. Suppose 4*d + i - 5*i - 28 = 0, -5*d + i + 19 = j. Which is the smallest value? (a) d (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286 is divided by 183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 435416 less than -639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12473 - 2.3\nAnswer: -12475.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcj when three letters picked without replacement from {c: 9, o: 1, j: 4}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2831.804 + 3852\nAnswer: 1020.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -15)*6\/9. Let z be 2\/8 + (-22)\/v. Find the third derivative of 6*h - z*h**2 - 2*h**4 - 6*h wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f + 20, 5*o - 3*f = 0. Let v = 2 - o. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 32*f + 100. Let o(y) = y + 7. Determine 5*b(q) - 80*o(q).\nAnswer: 80*q - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w - 11*w + 36*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60*c**3 - 24*c**3 + 1 - 2 - 80*c**3)*(197 - 197 + 37*c) in the form u + v*c**4 + l*c**3 + y*c**2 + p*c and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - (-45)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 5 (b) 0.1 (c) -0.6 (d) -0.12 (e) 4003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/771060 and 79\/12380.\nAnswer: 477286140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.026495*-0.4.\nAnswer: 1.210598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43318, 85976, 128634?\nAnswer: 171292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/251 (b) -1\/366 (c) 2\/7 (d) 2\/77 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:00 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 + 323. What are the prime factors of n?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259711200 divided by 324639?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2785*d - 102*d - 79151 - 68722 = 34571 for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 2*c - 5*c)*(0 + 0 - 1) + (-1 - 1 + 1)*(-3 + c + 3) to s + a*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 5249598 and 5249599 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1141014, 1141015, 1141016, 1141017, 1141018, 1141019?\nAnswer: 1141020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.4211cm in nanometers?\nAnswer: 834211000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504318?\nAnswer: 2, 3, 84053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -0.06, 5 in decreasing order.\nAnswer: 121, 5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 6*x + 6. Suppose m - 2 = -8. Let u be i(m). Let l = u - 11. Sort l, -6, 1 in ascending order.\nAnswer: -6, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 9*n - 6. Let l be q(-10). Suppose 4*p - 1 = 5*h - l, 9 = -2*h + 5*p. Which is the nearest to 6? (a) h (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42207*u**2 - 74 + 3*u - 261 + 42187*u**2 + 5*u**5 - 36 wrt u.\nAnswer: 100*u**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.112, -2\/7, 111\/11, 1\/7, -4\/5 in decreasing order.\nAnswer: 111\/11, 1\/7, 0.112, -2\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1263294200*h**3*l + 4421*h**2 + 55*h*l + 431*h wrt h?\nAnswer: -7579765200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -715 - -743.7. Let n = -39.7 + f. Which is the closest to -0.4? (a) n (b) 1\/5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**6\/1800 + l**5\/50 - 11*l**4\/120 + 202*l**3\/3 + 32. Let x(y) be the third derivative of c(y). Factor x(r).\nAnswer: -(r - 11)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 28*p - 203. Let m be u(7). Let t(v) = 9*v. Determine t(m).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.2 - 22. Let o = -46.5 - -47. Let q be (-3)\/(-6)*9*(-12)\/(-18). Put 0.4, k, q, o in decreasing order.\nAnswer: q, o, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 12, 4, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = -2*k. What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.008, 2\/27, 0, -117, 0.3, 4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 3 = l + 22*u, -5*l - 9 = -2*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.2 (c) 13 (d) 0.06 (e) -437\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 712295 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/23220 and -89\/27090?\nAnswer: 162540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 85 + -4?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6*w + 4. Suppose -b = w*u + u - 12, b - 5*u + 20 = 0. Suppose b = 4*i - 27 - 89. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 306 = 4*w - 81*p, -9*p - 12 = -3*w - 14*p - 50 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8449717.\nAnswer: 23, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 2. Let a(b) = -b**3 + 6*b**2 - 6*b - 3. Let c be a(3). Is i(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4729*w - 4726*w - 6 = 0. Let f(s) = 31*s**2. Let l(i) = 2233*i**2. Determine w*l(x) - 145*f(x).\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369230193, -738460384, -1107690575, -1476920766?\nAnswer: -1846150957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*w + 7, 3*w - 7 = -3*j + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01480661 and -422325?\nAnswer: 422325.01480661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 131424 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 401630289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let f(j) be the third derivative of -3*j**4\/8 + 6*j**2. Let c(v) = -3*v + 4*v - 4*v. Let t(m) = 8*c(m) - 3*f(m). Determine t(n(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuxuxuu. Give prob of picking 3 u.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:16 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, 100.08, -0.19?\nAnswer: 100.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -311, -6809, -2\/11, 3, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25426.07 + -0.4479.\nAnswer: 25425.6221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111220122200 (base 3) in base 5?\nAnswer: -1103241431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(4 + 14\/(-4)). Suppose -r + 5*r - a = 4*h, 3*r - 5*h - 38 = 0. Suppose 2*c = r*c - 20. Solve 0 = c*d - 5*j + 20, 0*j + 2*j = 5*d + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 391337 - 4304689\/11. Let -q*k**2 - 16\/11*k - 2\/11*k**3 + 0 = 0. What is k?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (1 + 9)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2 - 3\/3. Let r(o) = -1532*o**2 - 1529*o**2 + 53*o - 56*o + 3062*o**2. Let v(g) = 1 + 2*g**2 - 3 - 5*g + 1. Determine u*v(b) - 5*r(b).\nAnswer: b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = 3*k + 18, 4716*k - l = 4714*k - 49 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 62 and 966798?\nAnswer: 966736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 13) to base 7.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119780628 divided by -449?\nAnswer: -266772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**5 - 168*b**4 - 3932*b**3 - 22704*b**2 - 34304*b - 15360 = 0.\nAnswer: -8, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287540?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149874 + -75658. What are the prime factors of t?\nAnswer: 2, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5082547.\nAnswer: 4\/5082547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1880a (base 11) to base 10\nAnswer: 26267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/2 + 257*w. Let j(m) = -11*m - 3. Calculate j(r(q)).\nAnswer: -66*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c4 + -178da5?\nAnswer: -178bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 + 321*y + 1002. Let m(t) = 5*t**2 - 321*t - 998. Let r(k) = -2*d(k) - 3*m(k). Let r(v) = 0. What is v?\nAnswer: -3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -21 + -1 + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1829 divide 20613633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 669939633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 122 = 152 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 161 - (-2)\/(-4)*-6. Suppose -j - z = -2*j. Suppose 2*d + 72 = -2*f, -f = -5*d + 2*f - j. Which is smaller: d or -32?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**4\/8 + z**3\/6 + z**2. Let v(u) = -u - 3. Let d be v(0). Is 5 a factor of g(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - 612?\nAnswer: -559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 76 + -9 + (-43 + 20 - 11)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (7 + -21) - -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 24*n**3\/11 + 1009362*n**2\/11 - 66975174*n\/11 + 1516428 = 0?\nAnswer: -42123, 1\/4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5275)\/250 + 28 + 1\/10. Solve o + y = -3*l, -29*l = -32*l - 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50950 + -19148. What are the prime factors of u?\nAnswer: 2, 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -53\/268642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -112, -221, -382, -613, -932, -1357, -1906?\n\"Answer: -3*l**3 + l**2 - 57*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 62 = 50. Let c(v) = -v**2 + 3*v. Let y be c(3). Suppose -4*f = -2*q - 40, -5*f = -y*f + 3*q - i. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 1:03 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-844)\/(-6))\/((-38)\/(-57)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 1. Let l be i(-1). Let v be 5*((4 - 2) + 0 + -1). Suppose v*q = -0*q - 5*j + 55, 5*q - 91 = 4*j. Solve l*a = -0*a - q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -78*b**2 + 0*b - 96*b**2 + b**3 + b - 11 + 191*b**2. Calculate q(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 5*h**4\/12 + h**3\/2 + 4*h**2 + 17*h. Let a(u) = 3*u**2 + 2*u + 5. Calculate -8*a(p) + 5*f(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(3\/4)\/r*r*r)\/r*r)\/((((r*r**6)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -39) + (-5 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -319\/2135 - -2\/305. Let a = -1.9 + -0.1. Is x <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/121110 and 61\/24244020?\nAnswer: 266684220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229599 or -229607?\nAnswer: -229607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-320)\/(-40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 296795?\nAnswer: -118718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqdgv. Give prob of picking 1 g and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -239\/4. Let u = -476.1 - -476. Which is the second biggest value? (a) d (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36180241171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 338*a**2 - 4*a + 1. Suppose -3*n - 9 = -3. Is j(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, 4, 24\/5, -1\/70?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 16*z + 1. Let b be n(9). Calculate the greatest common factor of b and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 84*h**2 + 11*h + 60. Let b(a) = -83*a**2 - 11*a - 56. Let t(k) = -6*b(k) - 5*o(k). What is the units digit of t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -192, 3, 2, 1, -4 in decreasing order.\nAnswer: 3, 2, 1, -4, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -4 (b) -2\/5 (c) 1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + w + 4 + 1, w + 4 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33918*t**3 - 5613*t**2 + 866*t - 333221 wrt t?\nAnswer: 203508*t - 11226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -4*l + 2*u, 5*l + 5*u - 15 = 0. Suppose 5*m = 3*m + 3*k + 18, l*m = 2*k + 18. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 20*n - 2. Let r(b) = -26*b + 6 - 8 + 6*b + 3 + b. Determine 2*c(x) + 3*r(x).\nAnswer: -17*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 176*x**5 - 96*x**4 - 5*x**3 - 15*x**2 + 344*x?\nAnswer: 10560*x**2 - 2304*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m\/((m\/(m\/m**(-16))*m)\/m))\/m)))**2 assuming m is positive.\nAnswer: m**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.055294625 - -0.0553. Round l to 7 dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -48*z - 295. Give d(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqvqkkqvrqqq. What is prob of picking 1 v and 1 k?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84285.7 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/((-3740)\/(-51)) - (-399)\/1530.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/11*(-24051)\/(-8). Let h = x - -2193\/2. Find the common denominator of h and -49\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 + 7 = -2*z, -4*y + 4*z = 0. Solve -f = -3*l, y*f + 5*l = 3*l + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16543, 16540, 16543, 16558, 16591?\nAnswer: 16648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 11) to base 8\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -218, -342, -482, -644?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n*v**5 + n*v - 9*n - 24*v**5 wrt v?\nAnswer: -80*n*v**3 - 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -97*o + 587. Let j be x(6). Sort 9, -1, j in descending order.\nAnswer: 9, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 690, 7212, 24894, 59316, 116058, 200700, 318822?\nAnswer: 476004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3}. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 106.6245 months?\nAnswer: 0.8885375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27631, -55265, -82899, -110533, -138167?\n\"Answer: -27634*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1 - 2 - 28*g**2 + 25*g**2 + g + 5. Determine s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 224*u**2 + 4*u + 5. Suppose -23*o = -4*o + 19. Does 14 divide s(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.5, 0.06, -2\/3, 17, 0.2, 38 in increasing order.\nAnswer: -2.5, -2\/3, 0.06, 0.2, 17, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10920 = -2*x, 8*a - 6*a = 0. List the prime factors of x.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1198 (b) 53 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -35, -41, -49, -59, -71?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42127?\nAnswer: 103, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 20 = 4*s, -318*s + 8 = -323*s - 3*u. Which is the third biggest value? (a) 447 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 5*q + 10. Suppose 27 = -w - 8*g + 3*g, 4*w = -5*g - 48. Determine d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046223 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17730970, 35461948, 53192926, 70923904?\nAnswer: 88654882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + sqrt(19) + 0 + sqrt(114)\/(sqrt(18)\/sqrt(3)) - ((-2*sqrt(228) + sqrt(228))\/sqrt(12) + -3))**2*1.\nAnswer: 42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0349701 rounded to four dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -268. Suppose -y = -5*z - 65, 0*y + y + z = h. Suppose -2*c + y = c. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 520052.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -532 + 676. Let s = j - 144. Which is the third biggest value? (a) s (b) 3\/16 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 - 0 - -3) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8976 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11 = -u, -3*o + u = -2*u + 3. Suppose 5*q = o*d, 3*d = q + 6*d. Solve 2*c = 3*a + 4, 4*c + 3*a + 4 + 6 = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 19002*g - 16 = -18997*g, 3*x = -0*g - 3*g - g - 11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5.3 (b) 2\/5 (c) -50 (d) 2\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/9, 0.2, -0.3, -448?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13192 and 1224?\nAnswer: 118728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 - 4*q - 3. Suppose -6*n + 3*n = -51. Let v = n + -18. Let f(l) = -l + 2*l - 1 + l**2 + 2. Give v*i(g) - 3*f(g).\nAnswer: -g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11626904 divided by 316.\nAnswer: -36794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 452156966, 904313931, 1356470896, 1808627861, 2260784826?\n\"Answer: 452156965*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 1, h: 2, q: 3, v: 5}. Give prob of picking 2 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 130?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*i, 4*j - i - 5 = 13. Let k(p) = p. Let s be k(4). Find the second derivative of w**4 + w**s + j*w - 3*w**4 + 2*w**4 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + 0 + sqrt(325) - sqrt(325)) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*h + 608 = 0, -2*a - 546 - 50 = 2*h. Let l = a - -749. Does 46 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 7*a**4\/6 + 9*a. Let z(q) = -13*q**2 - 5*q + 3*q + q. Let u(d) = 5*l(d) + 4*z(d). Determine b, given that u(b) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2\/13)*r*r\/r**(6\/13)*r*(r**(5\/4)\/r)\/r**(-2) assuming r is positive.\nAnswer: r**(309\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.27 - 0.26. What is the biggest value in r, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4927 divided by -309\nAnswer: -4927\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0631 - -0.0531. Let d = -309\/2093 - 1\/161. What is the smallest value in -1, 1\/9, u, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 4416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17165b - -2?\nAnswer: 17165d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*q - 4*q - 24, -3*q = -3*j - 117. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let t be a(2). Let z(g) = 6*g + 7*g + t*g. Is 13 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (1 + -2))\/1. Let x = 0 - k. Find the third derivative of 3*m**4 + 3*m**2 - m**2 - m**4 + x*m**2 wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:45 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i + 360 = 75*i. What is the greatest common divisor of 492 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 56 = 4*w, r - 2*r + 14 = -w. Calculate the common denominator of -56\/11 and (7 - 8) + (-25)\/r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*b**3 + 4884*b**2 + 24435*b + 36450 = 0. What is b?\nAnswer: -9, -5, -270\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 885 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -406278.6 to the nearest one thousand.\nAnswer: -406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b**2 - 107*b**2 + 2 - 2.\nAnswer: -74*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(51)\/sqrt(3))**2 + 5*-3*sqrt(51)\/sqrt(3) + ((sqrt(612) + 5 + sqrt(612)*1 + sqrt(612))*-4 + -2)**2.\nAnswer: 3143*sqrt(17) + 88653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198 + 198. Sort 2, x, 23, -3\/7 in descending order.\nAnswer: 23, 2, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - f - 1 + 0)*(-f**2 - 3*f + 1 - 8*f**2 + 5*f**2).\nAnswer: 4*f**3 + 11*f**2 + 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6074*p**2 + 3146*p**2 + 2941*p**2.\nAnswer: 13*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**2 - d + 1. Suppose -5 = 2*s - 3*s, -4*s + 20 = -5*g. Suppose 4*j + 5*b - 2 - 1 = g, 0 = 2*j - 2*b + 12. Is k(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 77 = u, 53 + 8 = -3*t - 4*u. What is the nearest to t in -2\/9, 1\/4, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112982 is divided by 28127.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-17 + 19 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 5*y - 3*j, 60*y = 56*y + 4*j + 400. What is the smallest common multiple of y and 567?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 76*w**5 - 5*w**4 - 5*w**2 - 204*w + 5. Let k(y) = -y**4 - y**2 + y + 1. Let o(t) = 5*k(t) - v(t). What is the second derivative of o(a) wrt a?\nAnswer: -1520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k**2 + k + 13. Calculate the remainder when 59 is divided by q(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18177834 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114872745 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -1, 7, 1 in increasing order.\nAnswer: -1, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -0.2 (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*b = 272*b - 160. Is -31 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*n - 2*n - 35, 4*n = -5*h - 51. Let x = 14 + h. Suppose -u + 5 = -a, -4*u + x*a = a - 10. Solve -19 + 4 = 5*s - 3*t, 5*s - 5*t + 25 = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(325))**2 + sqrt(13) - (sqrt(117) + -2))*5.\nAnswer: -10*sqrt(13) + 1640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-36) - 2514\/(-36). Solve w*t - 52*t = 36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -1)*5\/(-1). Solve l*t - 1 - 24 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1243, -2433, -3623, -4813, -6003, -7193?\n\"Answer: -1190*n - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 7*m - 9. Let t(c) = c**3 + 2*c**2 - 6*c + 10. Let q(k) = -4*d(k) - 5*t(k). Suppose -2*r - 2*r - 44 = 0. What is the tens digit of q(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 934 - 182 = 376*b. What is the nearest to 3.2 in b, -1, -2, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/15652 and 11\/420?\nAnswer: 234780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -245*d**5\/3 + 3150*d**4 - 23225*d**3\/3 + 6600*d**2 - 6500*d\/3 + 240 = 0. Calculate d.\nAnswer: 2\/7, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 59*p + 1105. What is c(49)?\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 260441\/378 + -689. Let c = k + -4031\/378. Find the common denominator of c and 2\/23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/7 (b) -2 (c) -0.4 (d) 2\/91 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 1\/30*f**4 - 1\/15*f**3 - 1\/150*f**5 - 65*f**2 + 0 + 0*f. Factor k(d).\nAnswer: -2*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2370.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1)**2 + 1)*-2.\nAnswer: -14 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g**3 - 5*g - 5. Let u(r) = -r**3 + r + 1. Give -b(y) - 3*u(y).\nAnswer: -3*y**3 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 24*t**2 - t. Suppose 0*r = 2*r. Suppose -z + 4*v + 9 = r, 5*v + 7 = 4*z - 7. Is k(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*d + 243. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 30*n**3 - 18*n**2 + 15*n + 18. Let p(w) = -w**3 + w**2 - w - 1. Let s(t) = -j(t) - 18*p(t). Find the second derivative of s(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/519695 and 41\/20?\nAnswer: 2078780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4107, 4106, 4105, 4104, 4103, 4102?\n\"Answer: -i + 4108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*u - 3016545 - 2499471 = 0. List the prime factors of u.\nAnswer: 2, 3, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/480 - z**5\/10 + 17*z**4\/32 - 13*z**3\/12 - 6*z**2 + 14. Find u such that l(u) = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 627918738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*y**6 - 12183129*y**3 - 3*y**2 + 11500251?\nAnswer: 720*y**3 - 73098774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115156 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 42831 in ascending order.\nAnswer: -9, 3, 42831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:02 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-590)\/15635 - 6672\/159?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/1927, 5, 2\/11?\nAnswer: -3\/1927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 2)*(-1554248 - 1930*r + 1554248) to a*r + d and give a.\nAnswer: -11580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 25. Let g be r(-15). What is the units digit of 388*(((-50)\/g)\/(-5))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/2))**(-2\/69)*(l\/(l**3*l))\/(((l*l\/l**(-2\/27))\/l)\/l) assuming l is positive.\nAnswer: l**(-1954\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879*(-6 + 3 + (4 - 0)) 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 91680 and 68160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i + 14*i + 12*i = 54036. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20721*c = 20839*c - 62141*c + 20748*c + 12692 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3219 + 106. Is w less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -63?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/66 and -107\/220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1315044 (base 6) to base 12\nAnswer: -35a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 8. Let s be b\/(-10)*(-4)\/3. Suppose -2*c - 8 = -2*z, s*z + z - 2*c - 12 = 0. Solve -x = -2*f + 2 - z, -3*f = 3*x + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 6:57 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(-5*sqrt(66)*-2)\/sqrt(6) + -5 + sqrt(704) + 5))**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6774094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145226743.31733706 + 40234053.61733712. Let w = -104992691 - j. Let y = w + 1.3. Round y to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/(12\/(-30))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37678*u + 37679*u - 19 = -2*l, 0*u - 2*u + 20 = l for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/2 + 193*x**2\/2 + 98*x - 194 = 0. Calculate x.\nAnswer: -2, 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t**2 + t - 2. Let j be n(-2). Suppose -4*z = -j*z + 16. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) -5 (c) 16022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 12*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1823*l + 4 + 9 - 1804*l.\nAnswer: 19*l + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222804 (base 10) in base 3?\nAnswer: -201020101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*f**2 + f - 1\/2*f**3 + 1\/4*f**4 + 1.\nAnswer: (f - 2)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 44. Let y = 16 - f. What is the units digit of 0 + -2 + 0 - y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8. Let c(l) be the second derivative of 0*l**3 + f*l**5 - l + 0*l**6 + 0 + 0*l**2 - 1\/21*l**7 + 1\/4*l**4. Find the third derivative of c(y) wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183\/4 + 46. Let o = 4.8 - 4.7. Sort q, o, -0.2 in descending order.\nAnswer: q, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/500 and ((-10160)\/4000)\/(-1 + 2 - 36).\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47.1 (b) 10 (c) -8 (d) -0.1 (e) -1 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 12*f - 31. Let s be l(-5). Let x(p) = -18*p - 31*p + 47 - 65*p. Is x(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4)*1*8. Let n be (0 + 1)\/((-1)\/5). Let t be (-1 - n - 3)\/1. Which is the third smallest value? (a) t (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760396 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = -2*n. Let z be 0 - -2 - (-1 - -3). Suppose z = q + 4*q. Solve -i + q = n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 2*n**3 - n + 0*n + 7*n - 161*n**2 - 2*n.\nAnswer: 2*n**3 - 161*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, h: 1, r: 1, f: 1, l: 3}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4077476, 8154947, 12232418, 16309889, 20387360?\n\"Answer: 4077471*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/6)\/(((8\/20)\/(-2))\/(258\/215)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.6 and -0.125.\nAnswer: 0.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20676860389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 4:59 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36a - -9344?\nAnswer: 9703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1660 - 1642. Which is the third biggest value? (a) o (b) 1 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.94 + 0.06. Let i = l + 3. Let r = -5 + i. What is the biggest value in r, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 - -196. Let s = -1 - -2. Factor -1\/4*z**p - s + z.\nAnswer: -(z - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108075 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -125, -185, -243, -299, -353?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 656, -1, 4, -14 in ascending order.\nAnswer: -14, -2, -1, 4, 656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 62*g\/5 - 957\/5.\nAnswer: -(g + 29)*(g + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebebyeeeav. What is prob of picking 1 b, 1 y, 1 a, and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3484068245 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:16 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**8))\/o*o*o**1)**(-1\/49)*o**(-3\/2)*o\/(o**7*o)*o\/((o\/(o*o**5*o*o)*o)\/o)*o\/((o*o**(4\/9))\/o)*o*o assuming o is positive.\nAnswer: o**(1633\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 255 = -20*l + 67 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 - -9) + (-23 - (-9 - 8)). Let j be 1*(-8)\/(-2)*-1. Let z be ((-6)\/j)\/((-3)\/(-4)). Calculate the highest common divisor of z and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 10*y + 26)*(-y**3 - 2*y**3 + 0*y**3) + y**4 + 2*y**3 - 5*y**4 - 3*y**3.\nAnswer: 26*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7341*m - 15718*m - 65994 = -7825*m - 9138 for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*q + 10*q - 38 = 0, -3*q = -15. Let x(n) = -3*n + 99. Calculate the least common multiple of x(t) and 9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) 25.1 (b) 0.03 (c) 13\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/496 and 53\/48.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p - 189. What is t(-15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43094 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1830 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 - 3 = 4*u. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t - 21*t + 41*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 47 = 5*f, 30 = -4*b - 46*f + 48*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 0 - 4*x + 0*x + 4.\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5 = -o, -109*o + q - 18 = -111*o - 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-10))\/(8\/(-10)). Let q be 75\/273 + (-6)\/14. Put q, 5, j in increasing order.\nAnswer: j, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/15 in -1\/4, -2\/3, -398?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6086*l**2*p + 2*l*p - 2832 wrt l?\nAnswer: -12172*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 9) to base 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 53 = -3*p, -1573213*p + 106 = 2*d - 1573208*p for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*(-630)\/180.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1872)\/(-306) - 6 - (-878)\/51. Which is greater: c or 17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-44 - 1) + 13 - -47\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*c - 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.139999843 + -0.14. What is j rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9480\/(-261885)*(-13)\/(-4)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -17 (c) 0 (d) -1\/4 (e) 1 (f) 4 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5499 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**6\/200 + u**5\/25 - u**4\/8 + u**3\/5 - 31*u**2. Solve x(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (200\/56 - 3) + (-304)\/(-7) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 12:55 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620461123742 less than -0.4?\nAnswer: 1620461123741.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 + 9cc?\nAnswer: 98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -158*o**4 + o**2 - 189. Let j(n) = n**4 - n**2 + 3. Let u(c) = -g(c) - j(c). What is the first derivative of u(l) wrt l?\nAnswer: 628*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(6)*1 + sqrt(6)))\/(sqrt(6)\/sqrt(2)*6).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5247 - 0.0617. Round g to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -r - 14, -62*x = -15*r - 61*x + 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/840*m**7 - 1\/480*m**6 + 0*m**4 + 0 + 0*m + 0*m**3 - 4*m**2 + 1\/120*m**5. Determine d so that v(d) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/595 and (731\/238 + -1)\/(-1 + (-32)\/2)?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2340 = -2*z, 7020 = 3*w - 0*w + 4*z. Calculate the highest common factor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i. Let b(f) = -339*f**2 + 16*f + 337*f**2 + 66*f. What is a(b(j))?\nAnswer: 10*j**2 - 410*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 31 = -3*d, -4*d + 13 = 4*y - 15. Let m(z) = z + 9. Let g be m(-6). Factor 5 + i**2 + 2*i**2 - y*i**2 - g.\nAnswer: -2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*-2 + -5)*-3)**2*3 + (sqrt(55)\/(-6*sqrt(15)\/sqrt(3))*-2)**2.\nAnswer: 540*sqrt(11) + 16778\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68164.88ug to nanograms.\nAnswer: 68164880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 20286*a**2 - 149*a - 151. Is 11 a factor of u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(704) + -1 + sqrt(11) - (1*sqrt(704) + 4*sqrt(275)).\nAnswer: -19*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 1 + 2. Suppose 3*n - 2 = s. Solve -n = 4*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, 34, -1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.3 - 9.3. What is the nearest to -5\/3 in -0.5, 3\/2, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*k**2 - 290*k**2 - 5 + 106*k**2 + 5.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(180)*-2)\/((sqrt(90)*2*1)\/sqrt(10)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16.9 * -6\nAnswer: -101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-42) + (-37)\/(-3). Suppose -14 + c = -l. Which is smaller: l or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 126 = -78. Calculate the highest common divisor of 112 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 429 divided by 39\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 433, 964, 1711, 2674, 3853?\nAnswer: 5248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 19*b + 25. Let t be l(-19). Suppose 0 = 5*i - 20 - t. Calculate the remainder when (1\/(-2))\/(1\/(-48)) is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943a4a (base 11) in base 3?\nAnswer: 100111220002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5716*a + 11426*a + 2 - 5705*a.\nAnswer: 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27108 bigger than 3022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -375 divided by 4\nAnswer: -375\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6 and -3*2*(-83)\/(-74451).\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/9)*l**(-1\/14))\/(l**(-19)*l**(5\/2)) assuming l is positive.\nAnswer: l**(1028\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-35)\/15 - -3)*-3. Put b, 0.3, -0.1 in increasing order.\nAnswer: b, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3))**(-3\/11)\/((l*l**1\/l*l*l)\/l**6))\/(((l\/(l\/(l\/((l**3*l*l)\/l*l*l*l))))\/l*l**1)\/(l**3*l**(-1\/3)\/l*l)) assuming l is positive.\nAnswer: l**(382\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s. Let h be z(-1). Suppose -y = -5, -y = -m - 4*m - 10. What are the prime factors of -24*(m - (h - -3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2332010232 (base 5) in base 2?\nAnswer: -10100011000110010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/120 - f**5\/15 - f**4\/8 + 2*f**3\/3 + 12*f**2. What is the units digit of j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -2\/5, -3, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - z**4 + z + (1 - 1 + z**2)*(-3*z**2 + 2*z**2 - z**2) + (-z**2 + z**2 + 2*z**2)*(2*z**2 - z**2 - 3*z**2).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -87.3635+25262453\nAnswer: 25262365.6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -25. Suppose -s*x = -6*x. Solve -6 = -x*u - 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**2 - 28658860*a + 57317740 = 0?\nAnswer: -5731774, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1268 - -1310. Calculate the remainder when 61 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = p - 29, 2*p = 2*l - 76. Sort l, 0, 1 in decreasing order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/23)\/(n**(-3)\/n))\/(n**(-1\/3))**32)\/(((n**(-1\/2)\/n)\/n)**(-15\/8)*(n*n**(-2\/5)\/n)**(-18)) assuming n is positive.\nAnswer: n**(14861\/5520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134351004 and 54050.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1512 = -6*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110663232 by 4.\nAnswer: -27665808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g + 52*g = -11*g - 100 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o**2 + o + 30. What is g(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 21*y**2 + 44*y - 25. Let n be k(-23). What is the remainder when 101 is divided by (-6)\/27*n*-6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 26*o - 18 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/24)\/((-4)\/(-6)). Let f be (-3 + 2\/m)*-31. Suppose 0 = 4*h - 14 - f. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lggw when four letters picked without replacement from cgwglggclglcbqc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118991 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + v - 28, 5*o + v - 174908 = -174930 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 416811 = -29*j + 1501851. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 27*l - 1. Let z be i(3). Suppose -h + z = 3*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5690*l**2*y**3 - 17*l*y**3 - l*y - 2*l - 27*y**2 wrt l.\nAnswer: 11380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 2*w - 3. Let c be d(-5). Suppose -44 = -18*q + 7*q. What is the second derivative of 9*t - 5*t**q - 16*t**4 + c*t**4 wrt t?\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from yywwwyyyyw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234795771 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 168\/32*(29 + -25). Solve -h*b = -22*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*o + 51, 27 - 76 = 4*t - o. Calculate the common denominator of (-5)\/(70\/153)*2\/t and -71\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2, 3.\nAnswer: -2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v**3 + 11*v**3 - 9079 + 9079.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/6))**(-1\/12)\/((x*x*x**(-3\/2))\/(x\/(((x\/(x\/x**(-12)))\/x)\/x))) assuming x is positive.\nAnswer: x**(1037\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/62 (c) -4 (d) 0.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13536 and 2820.\nAnswer: 67680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2919154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1481, 6251, 14817, 27683, 45353, 68331, 97121?\nAnswer: 132227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372403695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*i - 545 = -112*i - 90. Solve -8*p + p + i = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11753 - 8827 = -133*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*57\/27 + 2\/(-6). Let j be (102 - 6)\/(b\/15)*8. Round j to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 8866*m - 17733\/2.\nAnswer: (m - 1)*(m + 17733)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1289301 and 1289306 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 926875 and 4375.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 7*m**2 + 7*m - 22. What is g(-7)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -16*b + 316. Let t(x) = 5*x - 110. Determine 2*c(j) + 7*t(j).\nAnswer: 3*j - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1035 by 23.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -60, -1, -1\/3 in increasing order.\nAnswer: -60, -5, -1, -1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l*l**(-1\/7)))\/l*l)\/l)\/l**(-11\/4) assuming l is positive.\nAnswer: l**(25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24405 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51, 47, 53, 75, 119?\n\"Answer: u**3 - u**2 - 8*u + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 28. Suppose 2*p + 2*q - 21 = 3*q, 0 = 4*p + 2*q - 38. Solve -5*s + 4*z - y = -p*s, -4*z = 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cc9 (base 13) in base 7?\nAnswer: 6252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7514 - 1?\nAnswer: 7513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 + 717*q**3 + 2178*q**2 + 12*q - 2904 = 0. What is q?\nAnswer: -2, 1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(612) - (sqrt(612) + 1 + 1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ed16 (base 16) to base 7.\nAnswer: -3205200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 4)\/(4\/284) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -29*y**3 - 2*y - 1. What is the tens digit of u(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7870160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let y(m) = -m**2 - 8*m - 5. Let c be y(-7). Let s(i) = i**2 + i. Let h(u) = c*t(u) + 3*s(u). What is the second derivative of h(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50223 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10680 - 2523 = -1195*b - 1253 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 - 3*m + 83. Determine r(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/10)\/(3\/(-10)). Let t = -1 + o. Suppose j = t*j - 330. Calculate the greatest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/2 - t**3 + 3*t**2\/2 + 3*t + 2. Let y(z) = z**2 - z - 1. Determine l(x) + 3*y(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = h + 3*o - 1, -31 = 2*h - o. What are the prime factors of 1625 + -2 + (-9)\/(5 + h)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2 - 1 - -3 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-2)*(270\/5)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.172366 + -3080.\nAnswer: -3079.827634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) 0.1 (c) 23 (d) 4 (e) 12\/5 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/8*32\/(-8))\/(-1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-16) + -123*(-1172)\/48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - p + 4)*(-2 + 3 + 5)*(3 + 1 + 2).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -23*i**4\/6 + 162*i**2. Let h(u) = -u. Give h(x(o)).\nAnswer: 92*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((23 + 31 + 6)*(w + 0*w + 0*w) - 9*w + 3*w - 2*w)*((3 - 3 + w)*(3*w**2 + 0*w**2 - w**2) - 1 + 1 + w**3).\nAnswer: 156*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115686773 to the nearest integer?\nAnswer: 10756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9)**(-11) assuming m is positive.\nAnswer: m**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/87 and 127\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*a + 51 = 0, -2*a = -3*u - a + 119. Let c(k) = 107 + k**2 + 19*k - u - 46. Give c(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 18. Let b(s) = 2*s - 11. Let p be b(w). Sort p, 0, 3 in decreasing order.\nAnswer: 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -6*y. Let k(v) = -5*v**2 + v + 1. Let c(b) = -b**2 - b. Let m(x) = y*k(x) + 4*c(x). Is m(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 333, 4, 5 in ascending order.\nAnswer: -2, 4, 5, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(704)*-1 - (2 + sqrt(275) + sqrt(275)*4).\nAnswer: -33*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z - 2. Give m(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 1 - (187\/21 + (-2)\/(-21)). Let l(o) = 32*o - 3. Let n(d) = d - 1. Calculate c*n(y) + l(y).\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 4*a**2 - 2*a**2)*(-2*a**2 - 2*a**2 + 6*a**2) - 862314*a**3 - 3556*a**4 + 862314*a**3.\nAnswer: -3560*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 55 = -2*h - 15, 34 = 2*h - y. Calculate the remainder when 53 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.024 - 0.024. Put c, 4\/7, -2, 3 in ascending order.\nAnswer: -2, 4\/7, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 2, a: 1}. Give prob of sequence aaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 - 6*t**3 - 6*t**3 + (0 + 0 + 2*t)*(0*t**2 + 0*t**2 - t**2) + (4*t + 5 - 3 - 4)*(5*t**2 + t**2 + 3*t**2).\nAnswer: 22*t**3 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, -23994 in increasing order.\nAnswer: -23994, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13041 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r + 9 = 0. Suppose r*c - 100 = 4*c. Let p be ((-2)\/c)\/((-2)\/(-4)). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520559371 to the power of 1\/4, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 14*f**2 + 43 - 16*f**2.\nAnswer: -2*f**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7229 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - q = -0*c, -7*q + 8*q = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2 - -1)*2392\/3588. Is x != 1\/25260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 4*q**2 + 2*q**2 + (-q + 0*q - q)*(-2*q + 2*q - 2*q) - 5*q**2 + 0*q**2 - 2*q**2 as k*q + u + x*q**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 323443148971277 and -0.4.\nAnswer: 323443148971276.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/10813 and -6\/6881.\nAnswer: 75691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1796*y - 5260. Calculate the remainder when d(-3) is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20112220232 (base 4) to base 13\nAnswer: 5b89a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12268 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412327955 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:06 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/1)\/((-4)\/(-46)). Suppose 0 = 4*r + i - 21 + 3, r + 5*i + 5 = 0. Suppose -24 = -r*q - z, -4*z = -4*q - 5*z + 20. Solve -3 = -q*o - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 0)\/(918\/204)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-3\/7)*r*r**0*r)**(-45))**(-9) assuming r is positive.\nAnswer: r**(12960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let i(k) = 354*k**2. Calculate i(a(d)).\nAnswer: 1416*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -31*c + 797. Does 28 divide d(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9855 divided by -9\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51719834 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 321*x. Let q(n) = 8*n + 7. What is q(f(v))?\nAnswer: 2568*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3 + (4 + 0 - 3)*(-3 - 1 + 2))*(65 - 31 - 421*a - 36).\nAnswer: 1263*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*y + 19*y - 384. What is the closest to -1\/4 in 15, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m + 786 - 864. What is the least common multiple of 177 and m?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183*j + 274 wrt j.\nAnswer: 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 148?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 15 = 3*t, t + 3*c = 4*c + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/4)\/(1\/(-2)). Suppose -119 = -5*z - 3*x, 0 = -4*z - 7*x + 6*x + 91. Solve 5*h - z = -s, 2*s + 2 = -r*h + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3254*y. Let d(w) = 1226754*w. What is 6*d(j) + 2261*f(j)?\nAnswer: 3230*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 248918611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 3*v + 3. Let x = -11 - -7. Let h(o) = 5*o**2 + 4*o + 4. Let s = -111 + 114. Let y(w) = s*h(w) + x*q(w). Let j(a) = 3*a. Determine j(y(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17873.13 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 25. Let j = -27 + q. Solve -j*r + 2*r = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*q = -784*q + 2448 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12596*c**3 + 7*c**2 + 13*c.\nAnswer: -75576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 5*h - 7\/6*h**4 - 5*h**2 + 0 - 3\/2*h**3. Let b be u(10). What is b rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10141595 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/715530 and -61\/18768?\nAnswer: 5724240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11449 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 349590 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000697 to 5 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i. Let k(m) = 17*m + 19*m + 26*m - 57*m. Calculate x(k(y)).\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -0.2277662?\nAnswer: 2.2277662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/72924060 and 107\/29169624.\nAnswer: 145848120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 65670192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**3 - 2*s**2 + 2*s**2 - 19*s**3 + 6*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 5, q: 2, g: 2}. What is prob of sequence eqz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/40 - (-376)\/10. Suppose 0 = 4*j + 86 + p. Let o = -13 - j. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -132680.7, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174439, -174503, -174567, -174631, -174695?\nAnswer: -174759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1486*m - 23 - 1496*m + 17)*(290*m - 3*m**2 + m**2 - 309*m)*(1 - 1 - m) as d*m**3 + y*m + l*m**2 + u*m**4 + r and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128158?\nAnswer: 2, 139, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (60\/(-9))\/((-4)\/6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2100 divided by -70\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 - 309\/2. What is the common denominator of -40\/13 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 divided by -9706.\nAnswer: -281\/9706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 264*n - 3 + 10 - 259*n. Let p(j) be the third derivative of j**4\/12 + j**3\/2 - j**2. Suppose 7*m - 63 = -2*m. Determine m*p(s) - 3*g(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 2 - 2 + (q + 0 + 0)*(-q + 7 - 7))*(-4 + 2 + 0) to the form m*q + k*q**2 + p and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*h*q + 53*h + 2008*q wrt h?\nAnswer: -19*q + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 2 (c) 0.6 (d) 338 (e) 2\/221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlimhlkklhmuk. What is prob of sequence hh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 103*m**2 + 148*m - 545. Is q(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 944244.\nAnswer: 11\/944244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 9 (c) -44 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(108)\/(sqrt(72)\/sqrt(8)) - (sqrt(1452) + 6*sqrt(1452) + sqrt(12)))\/(-3*6*(sqrt(4)*-4 + sqrt(4))*-3).\nAnswer: 38*sqrt(3)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1568 and 520753184?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*(c - 4 + 4) - 2*c - c + 4*c + (-6 + 2 + 2)*(0*c - 5*c + 3*c) - 3*c + 0*c + 2*c - c - 3 + 3.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 4, e: 2, p: 2}. What is prob of picking 2 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1944)*-5 - sqrt(1944) - sqrt(1944))*-5)\/((1*sqrt(72)*4 + sqrt(72))\/(-1*sqrt(9)*1)).\nAnswer: 189*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003827358466 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) 39 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h. Let p be (-153468)\/(-18) + 0 + (1 - 6). Let g(u) = -8521*u + 31*u**2 + p*u. Give w(g(m)).\nAnswer: -93*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 18*h**2 - 18*h + 7. What is b(17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3281004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w - 2*w)*(-3 + 6 - 4 + (2 + 2 - 6)*(4 - 2 - 3)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -1, 18, 45?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y = 4*f - 36*y - 4, -f - 4*y = 13. Let n(l) = 2 - 7*l + 4*l + 2*l. Calculate n(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*h = -4*g + 33, -3*g + 4*h = -31. Let m(b) = -32 + g - 2*b**2 - 11. Let j(c) = -3*c**2. Calculate j(m(n)).\nAnswer: -12*n**4 - 408*n**2 - 3468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -142.\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 74*f + 892. Let h be x(-12). Sort -3, h, -5, -198 in increasing order.\nAnswer: -198, -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0)*(2 - 1). Let c(x) be the first derivative of -x**4\/4 - 2*x**3\/3 - x**2 - 3*x + 2. What is the units digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**3 - 24*u**3 - 15*u**3.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3\/3 - j + 1. Let d(s) = s - 4 - 2*s**3 + 6 - 6*s**2 - 8 + 0*s**3. Determine -d(c) + 6*o(c).\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4867 - -4862. Put 20, i, -1 in ascending order.\nAnswer: i, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 3 (b) 0.5 (c) 5\/75037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r + 3. Let s(p) = 2*p. What is s(b(u))?\nAnswer: 16*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/8 + (5 - (-38)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37845*k**3 + 41325*k**2 + 3560*k + 80.\nAnswer: 5*(k + 1)*(87*k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -45*d - 7. Let x be n(7). Suppose -227 = b - 36. Let h = b - x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 5*r + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.6405574 less than -24268?\nAnswer: -24612.6405574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 769402420 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53056 is divided by 1878?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*q - 134 = 0, 2*u - 6*q - 152 = -2*q. What is the remainder when 152 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -0*r - 7*r. Suppose -r*o = -19 + 9. Solve -l = o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 887.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98993.4 years to months.\nAnswer: 1187920.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13091, 26172, 39253?\n\"Answer: 13081*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8817 - -8822. Let m(z) be the first derivative of -10 - z**5 + 10*z + 25\/2*z**2 + l*z**3 - 5\/4*z**4. Factor m(r).\nAnswer: -5*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Which is the nearest to -2\/3? (a) l (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*220\/24*150. Round a to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48350 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -172*m**5\/5 + 139*m**4\/4 - 35*m + 2. Find the third derivative of f(g) wrt g.\nAnswer: -4128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 10 - (4 + (-1 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70505201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10341 (base 8) in base 11?\nAnswer: -3279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.7 and -72118302.\nAnswer: -72118295.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 5*u - 4. Let m(n) = n**2 + n - 1. Let h be 84\/(-18) - 6\/18. Let c(q) = 14*q + 69. Let b be c(h). Give b*t(s) + 4*m(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-six fifths of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g**2 - 1. Suppose -5*l + 2*p + 8 = -l, -l + 4*p = 12. Let b be (2 + -8)\/((-8)\/l). Suppose 3*v - r + 0 + 2 = 0, 0 = -2*v + b*r - 13. What is q(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, u: 1, m: 1, p: 2}. What is prob of sequence pwm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - k**3 - 2*k**2)*(3 - 427*k**2 + 3*k + 426*k**2 - 5).\nAnswer: k**5 - 3*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-448)\/35 - -14) + (-44)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 9 - 7)*(-2*c + 3*c + 1 + 3) to y + x*c and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + 1 + 3.\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzbhbzlvlhllhhhbh. What is prob of sequence bhb?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 411*r**2 + 2864*r + 12260\/3.\nAnswer: (r + 2)*(r + 5)*(r + 1226)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36208.4 and -5.\nAnswer: 36203.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1750 and 52\/7625.\nAnswer: 106750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131234880*m - 79722212 wrt m?\nAnswer: -131234880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1008)\/952*(-255)\/(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1046320 and 0.1.\nAnswer: -1046319.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*f**2 - 305*f + 102*f + 106*f + 101*f to w + g*f + c*f**2 and give c.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(5\/(-45)*-3). Suppose k = 7*n - 2*n. Solve m - 20 = -n*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 4, g: 2, j: 1, u: 5}. What is prob of sequence grr?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 382196.474.\nAnswer: 382196.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 take away 439.92?\nAnswer: -467.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4))\/sqrt(4) - (-5*(sqrt(5)*1)**2 - sqrt(5)).\nAnswer: 2*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*-10*12\/(-90). Suppose 77 = i*t - 179. What is the least common multiple of t and 28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 9*w - 7. Let u be g(-10). Suppose 0 = -u*q - 0*q. Suppose q = 15*m - 11*m - 44. Calculate the highest common divisor of 121 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372)*-2 - (sqrt(28) + 0)*-5)**2 - ((sqrt(140)\/sqrt(5)*5)**2 + (sqrt(84)\/sqrt(3))**2*-5 + 2).\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -41?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.46 - 0.54. Let w = 68 + u. Which is the fourth biggest value? (a) 0 (b) 1\/3 (c) -1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -275c - -2d?\nAnswer: -272d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5775949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 629141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.74508 decades to years.\nAnswer: 427.4508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 24 + 9 = -u, -3*u = r - 6. Let i be (-1)\/(-4) + 18\/24. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + m + 3*m - 11*m**2 - m + m**4 + 0*m**4 - 3*m**3 in the form i*m**2 + k*m + l*m**3 + c*m**4 + t and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625768.\nAnswer: 2, 11, 13, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8027 or -8053?\nAnswer: -8053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 314380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 + 2356*s**2 - 41180*s + 38828 = 0 for s.\nAnswer: 1, 17, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1863 + -1287. Let s = x + -568. Calculate the remainder when 21 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -3 - 14*b**2 + 28\/3*b**3 - 2*b**4 + 8*b. Factor w(x).\nAnswer: -4*(x - 2)*(x - 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16467415 and 1263?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/28527360 and -141\/5320.\nAnswer: 199691520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413, 2.6, 0.04, -5.\nAnswer: -5, 0.04, 2.6, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 58\/(-8) + (-9)\/(-36). Let v(g) = 2*g**2 + 11*g + 3. What is v(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k - 302 + 302 in the form z*k + f and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 6*a - 9. Let u be g(4). Let l(y) = -6*y + 0 + 0. What is l(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(1\/3))**(2\/5)\/(z**(-18)*(z**4*z)\/z))**(-41) assuming z is positive.\nAnswer: z**(-1804\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/4260*-3785 + 2\/24?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 7 + -56 + -43.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*t + 12, t - 3*o + 8*o + 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 28*w. Let t(d) = -9*d. Let c = 22 - 6. Let j(h) = c*t(h) + 5*z(h). Let b(u) = u**2. Determine j(b(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00433*16.09.\nAnswer: -0.0696697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, g: 1, a: 1}. Give prob of sequence ca.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.9. Let m = 2.12 + 2.88. Which is the second smallest value? (a) m (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgtvegkkekgekggg. Give prob of picking 3 g and 1 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 84 = -p. Suppose p*w - 91 - 35 = 0. Solve 2*t = 3*s + 4*t + w, -s = 3*t + 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*v = -198, -3*f - f + 264 = 5*v. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -40\/14093287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:51 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-7))\/(((-1170)\/(-36))\/13)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(15*-1))\/((-5)\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3 and 41\/82431?\nAnswer: 82431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11749?\nAnswer: 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 669*z**2 - 83*z + 348. Let g be n(4). Calculate the greatest common divisor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = -0*j. Suppose j*k = 4 - 0. Let c = k - -4. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 22*j + 24*j. Put 1, j, 2\/3, 1\/3, -1 in decreasing order.\nAnswer: j, 1, 2\/3, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 245*z**3 + 757*z**3 - 255*z**3 - 263*z**3 + 1.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -122, -339, -708, -1265, -2046?\n\"Answer: -6*q**3 - 22*q**2 + 7*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 4. Let m = 1396 - 1394. Let k(w) = -9*w**2 + 9. Determine m*k(o) + 5*n(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*h = -2*h - 141, -47 = -r - 2*h. Let l be 2 - (20 + (-9)\/(-3)). Let q = r + l. Calculate the highest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z - 9 = 0. Let g(r) = r - 5. Let w be g(z). Let v be ((-374)\/(-33))\/(w\/(-3)). Is 16 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 1. Let n be l(4). Let g(c) be the first derivative of 22 + c**n - 2*c**2 - 2*c**3 + 2*c**2. Let d(q) = 2*q**2. Determine d(g(z)).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:34 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*m**3*z**3 - 2*m**3*z**2 - 5*m**3 - 205*m*z**3 - 46*m*z + 62*z wrt z?\nAnswer: 402*m**3*z - 4*m**3 - 1230*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3625*-9.\nAnswer: -32625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15 + (-3 - -35) + 1224. Solve 0 = -19*s - 1241 + h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -559, -839, -1119, -1399?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 1. Let n(v) = -6*v - 209. Determine -n(m) + 4*o(m).\nAnswer: 2*m + 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 981 + -238. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9 - 15)*(-22)\/3 is divided by (39\/(-52))\/((-3)\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 369\/(-120))\/((-2)\/(-10)). What is the nearest to -0.1 in -4, 0.011, u, -1?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 94130*i + 2215114225.\nAnswer: (i + 47065)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + -75255547?\nAnswer: -75255602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 0, -16, -56, -126?\n\"Answer: -z**3 - 3*z**2 + 18*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3514644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*y**3 - 5*y**3 - 3*y - y**2 + 17*y**3 - 11*y**3 to the form n*y**3 + t*y + i*y**2 + z and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6*j - 23832 = 2*j, 3*k - 17877 = -4*j. What are the prime factors of k?\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/15 - (-2)\/5. Suppose 0 = 5*l - 13 + 3. Suppose 0*m = x*c + 5*m - 63, 0 = 2*c - l*m - 84. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011010101011000011110011101 - 101?\nAnswer: 111011010101011000011110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -428 + 803. Let r = a + 395. What is r rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -2 (c) -0.0813 (d) -0.8 (e) 9 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/105 - 7*a**6\/120 + a**5\/5 - 5185*a**4\/24 - 2490*a**2. What is the second derivative of b(q) wrt q?\nAnswer: -24*q**2 - 42*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 33. Determine t(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1, -3, -1\/2, 952, 1895 in descending order.\nAnswer: 1895, 952, 1, -0.1, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2\/11, 19.4, 3, 0.099?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7320*f - 8845904 + 8845904 to a*f + l and give a.\nAnswer: -7320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d - 15. Let a be i(4). Let j(z) = 5*z**2 - 3*z + 3. Let p be j(a). Find the second derivative of 9*u**3 + 92 - 92 + p*u wrt u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 128\/(-6)*(-6)\/4. Suppose u = -0*u + y. Let t = u + -23. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255792299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 30 = -524*z + 526*z, 3*v + 27 = 3*z. Let a(g) be the third derivative of -3*g**4\/2 + g**2. Calculate a(z).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x + 3*x + x)*(6*x - 4*x + 0*x) + (27*x - 56*x - 55*x)*(3*x + 0*x - 2*x).\nAnswer: -92*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 16, 0*z - 5*p = -2*z + 74. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2696001 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9900 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8228 = -4*k - 4*n, 2*k - 4*n = -425 + 4515. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 6 + 31)*(-5*i + 2*i + 0*i)*(-10*i + 0*i + 3 - 4) as u*i**2 + v + n*i and give u.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13668, -13664, -13660, -13656, -13652, -13648?\n\"Answer: 4*n - 13672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 57 - 223 = 5*q, -q = 4. Let f = -10 - c. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d - 21*d - 19*d + 79*d - 17*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816*l - 16070 = -3014 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/(t**(-12)*t)*t)))\/(t*t**(-3))*(t\/(t*t\/(t\/(t\/t**(-9)*t)))*t)**(11\/4) assuming t is positive.\nAnswer: t**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.097578 rounded to one decimal place?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25453.68 weeks to minutes.\nAnswer: 256573094.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 2, b: 1, z: 1}. What is prob of sequence bczc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/13 + -54\/91. Let o = -5 + -1. Let l be o\/3 + 40\/18. Which is the closest to -1? (a) l (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + 3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from bzbzzbbzzbbbzbzbzzz.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7944076702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3539 + -3356. What are the prime factors of b?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2006 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 j, and 1 o when four letters picked without replacement from nnnnnnjnjbojjbbnjbbn.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 42 - 8 = 0. Suppose -5*c = -2*f + 273, 144 - 677 = -4*f - 3*c. Calculate the remainder when f is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243410 to the power of 1\/2, to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 8. Let f be x(-6). Let s = f + -7. Suppose s*a - 2*a = 11. What is the remainder when 41 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86225128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-834)\/8*(-703)\/(-13838). Let i = 32\/187 + k. Find the common denominator of 89\/514 and i.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -565?\nAnswer: 56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - -94 - 9 - 12 - 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56*o**4 - 13113*o - 1170097 wrt o?\nAnswer: 224*o**3 - 13113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -37.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -d + 960, -2*d + 269 + 1659 = 4*n. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4910, -19957, -45036, -80147, -125290?\n\"Answer: -5016*o**2 + o + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9340*m**2 + 5*m + 468715?\nAnswer: 18680*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.79 + 0.39. Let b = 4.6 - 4.9. What is the smallest value in -12, p, b, 0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 13*d + 4. Let u be m(-10). Let x = 470 + u. Suppose -8*j - j + x = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k - 173*k = -1050. Sort -4, -5, -2, 59, k in decreasing order.\nAnswer: 59, k, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 10*d - 24 = 0. Let z = -9 - d. Solve 2*y = -2*v - 18, y - z = -0*y + 2*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*i**2 - 31*i**2 - 36*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 340693 - 340403.9592. Let i = 289 - d. Round i to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 3*f)*(-f + 0 + 0) + f**2 + 0 + 0.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 f when four letters picked without replacement from {h: 11, f: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5722 - -208?\nAnswer: 6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 0.4, -0.4, 4\/3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:41 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*w - 10*w + 19*w)*(-3 + 3 + 2*w) - 3*w + 26*w - 19*w**2 - 24*w as q*w + z + m*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) -5\/7 (c) -5 (d) -1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnvg when four letters picked without replacement from {u: 2, n: 2, g: 1, v: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**2. Let w be 3\/4 + (-2)\/(-8). Let p be c(w). Suppose -a - p = -5*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199616540392*u - 199616540392*u + 11*u**3 + 3 - 3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7298*f + 14592*f - 7301*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -455594 + 272594. Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -927456, -927439, -927422, -927405?\nAnswer: -927388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-8) + -3 + -4 + 9. Sort h, 4, 12.\nAnswer: h, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p = 37*p - 2*j - 1009, -j = -12*p + 2395. What is the remainder when 537 is divided by p?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + a**2 - a. Let b(y) = 6*y**3 - 2*y. Let q(k) = -b(k) + n(k). Calculate q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.5, -118, 0.5, -1\/4, -6, 11, 2\/21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*j**4\/9 + 164*j**3\/9 + 223*j**2\/9 + 22*j\/3 = 0. What is j?\nAnswer: -22, -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(72)*1) - (sqrt(6)\/(sqrt(33)\/(sqrt(55)\/sqrt(5))))**2) + -4.\nAnswer: -6 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101100110 (base 2) to base 6.\nAnswer: 12434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (44 + -50 - (1 - 3)) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 25*u**2 - 92*u - 26. What is the tens digit of b(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122671220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(sqrt(112)*-3 + sqrt(7) - sqrt(7)))**2 + -6*(sqrt(28)*-6)**2.\nAnswer: 19156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100*c**3 + 5088*c**3 - 431*c**3.\nAnswer: 3557*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24 - -50 - 59 - (-34 + 7)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 23*c**7\/42 + c**4\/12 - 23*c**3\/2 + c + 70. What is the second derivative of i(m) wrt m?\nAnswer: 460*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + f + 15, -3*v - 4*f + 17 = f. Suppose -z + v*z = -111. Let q = -72 - z. Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 38036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -60*f**2 - 2*f + 42. Let g(x) = -5*x**2. What is p(g(v))?\nAnswer: -1500*v**4 + 10*v**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258568 - 258568 - 7639*a.\nAnswer: -7639*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101661334.\nAnswer: 2, 23, 2210029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015933 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344918701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 9*m - 13*m = -238 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-168)\/(19 + -13). Solve -t*w - 7 = 93 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/2 + 27*h**4 - 140*h**3 - 195*h**2 + 281*h\/2 + 168 = 0. What is h?\nAnswer: -1, 1, 7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6223881 is divided by 770?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 14. Let a = -17 + k. Find the first derivative of -a + 13 - 2 - 2*q + 14*q wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 9. Let b be p(6). Let y = -10.7 + 11. Let a = y + -0.3. What is the closest to a in 3\/7, -5, b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-56 + 64) - 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 1505790.\nAnswer: -1505790.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 = -3*d + 3, -3*d + 9 = 11*w. Solve 4*a - 24 = 7*a - d*f, 12 = -3*a - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 45c59?\nAnswer: -45c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y - 1. Let u(f) = f**3 + 8*f**2 + 10*f - 12. Let s(t) = -u(t) + 2*w(t). Let r be s(-9). Suppose 8 = 24*k - 20*k. Solve n + k = r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 1029 = 3*h. Let l = -282 + h. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 + v - 1. Let x(m) = -m**3 + 1. Calculate 4*x(b) + y(b).\nAnswer: -b**3 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 20 + 25. Let u = -7970 - -7996. What is the remainder when u is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 11:50 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91500 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 45676\nAnswer: -2283.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1657.4325 - -1657.53849851. Let t = w + -0.106. Round t to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*o**2*w - 3*b*w - 580*b - 554*o**3*w - o with respect to o.\nAnswer: 4*b*o*w - 1662*o**2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2433\/7 - 347. Factor 0 + 0*n - 2\/7*n**2 - x*n**3.\nAnswer: -2*n**2*(2*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 35. Let h(r) = r + 18. What are the prime factors of h(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 19*a + 48 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525490 by -7507.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50343, 100881, 151389, 201849, 252243, 302553?\nAnswer: 352761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2178 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 321\/63 + 2\/(-21). Solve -8*s + v = -7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c*c\/(c*c\/c**(-4\/7)*c*c))\/(c**(-2))**(-2\/55))\/(c\/((c**9*c)\/c)*c**(-4)\/c*c**(1\/4)\/(c**8*c)) assuming c is positive.\nAnswer: c**(29423\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 8*g**2 + 24*g + 20. Let m = 4 + -21. Is k(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105.4 - -96. Let f = s + 9. What is the nearest to -0.01 in -4, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 8, 54, 108, 164?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (12 + -1 + 1 - 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12560*u**3 - 1127*u**3 + 1189*u**3 + 2*u + 14806*u**3.\nAnswer: 27428*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/120 + z**4\/72 - 4*z**3\/9 + 5*z**2\/3 - 3*z - 45. Solve j(t) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) + (9 - -2). Solve -w - u = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -4, -811, 40.\nAnswer: -811, -4, 5, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.5. Let l = -1 + 2. What is the second smallest value in l, -2\/13, f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Let p be (-1 - -1) + c + 0. Let m be p\/(-2)*(-4)\/3. Sort 1, m, 4\/7 in increasing order.\nAnswer: 4\/7, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/11 - 1042680*h\/11 + 135897697800\/11 = 0. Calculate h.\nAnswer: 260670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/4080 and 83\/10.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-7\/2)*w)**(-14\/9) assuming w is positive.\nAnswer: w**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -33. Let q = 6 + n. List the prime factors of q\/8*52\/3.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8508562740 minus 0.0498?\nAnswer: 8508562739.9502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/2)*i)**(2\/139))**22 assuming i is positive.\nAnswer: i**(66\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55597285 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 0, -2*i + 3*d + 2*d - 31 = 0. Suppose 2*u + 3*b = 0, 9 = 2*u - 4*b - 5. Sort -4, i, u in decreasing order.\nAnswer: u, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 270 - 271. Which is smaller: m or 20\/59?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440118 and 6750.\nAnswer: 165044250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 2*u**2 - 3*u - 1. Let s = 4244 - 4246. Determine z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.9 - -106.2. What is the third smallest value in 192, -1\/5, j?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.32533 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62 + -4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -5\/3 (b) -0.14 (c) 0.2 (d) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = -16. Suppose 0 = -2*p - 0*x - 3*x + 23, -x + 1 = -p. Suppose -2*q = 3*z + 15, -p*z + 3 = -4*q - z. Which is bigger: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/453679 and -65\/12.\nAnswer: 5444148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 59 = 34 - 139 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1511*s + 3004*s - 1512*s + 57 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 410673 + 4?\nAnswer: 410677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2 - 2)*(-3*b - b + 2*b) + (2*b - 2*b - b)*(-2 + 2 - 5*b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 4. Suppose -4*m + 32 = 4*l - 7*m, -26 = -2*l + 4*m. Let u(h) = l - 2 - h - 2 - 2. Determine -2*d(i) + 6*u(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17 - 637\/35)\/((-4)\/(-10)). Put 5, w, 71 in decreasing order.\nAnswer: 71, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8912094 is divided by 120433.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776896963?\nAnswer: 109, 479, 34033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-243*n + 449*n - 71*n)*(-14*n**3 + 64*n**3 + 101*n**3) to the form w*n + t*n**3 + s + x*n**2 + g*n**4 and give g.\nAnswer: 20385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10100001111100?\nAnswer: 10100001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7746 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:38 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2860*j**2. Let z(x) = x**2 + x. Determine z(v(k)).\nAnswer: 8179600*k**4 - 2860*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 + 6*a - 1. Let d be z(5). Suppose d*v - 3*w = 2*w + 97, -3*w = v - 3. Calculate the lowest common multiple of v and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1706150 or 0.3?\nAnswer: 1706150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -b + 3525, b + 5*h = 3469. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23232 (base 4) in base 11?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48\/7*w**3 + 464\/7*w - 300\/7*w**2 - 30 - 2\/7*w**4 = 0 for w.\nAnswer: 1, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**7\/70 - z**6\/30 + z**5\/60 - z**3 + z**2 + 14*z. Find the third derivative of i(r) wrt r.\nAnswer: -72*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 9*w**5\/10 - w**4\/12 + w**3\/6 - w**2 - 55*w. Let n be t(2). Calculate the greatest common divisor of 60 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4, -6, 12, -2 in decreasing order.\nAnswer: 12, 4, 1, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d)**35*d**(-4)*d**(-1\/3) assuming d is positive.\nAnswer: d**(197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -19 (c) 52 (d) -954\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 4*k**2 - 10*k + 11. Let o = -42 - -48. What is the remainder when w(o) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 200 = g + 2*g, -3*c + g = 155. Let k = c - -53. Solve k*l + 3\/7*l**2 - 3\/7 = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.5. Let p = -35 + 34. Which is bigger: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-15))\/(4\/18). Let u be c\/((-18)\/(-4))*-3. Calculate the smallest common multiple of 2 and 111\/15 + u\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2 + 1\/2*g**2 + g. Let s = 6536 + -6538. What is c(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.00607 millilitres?\nAnswer: 0.02400607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -863, -2422, -5467, -10496, -18007?\nAnswer: -28498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18) + (-1980)\/162 + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 4, 25, -2, 1 in descending order.\nAnswer: 25, 4, 1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075 a factor of 2778054975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 2)*(-9*f**2 - 7*f**2 - 6*f**2 + 2*f**3).\nAnswer: -14*f**3 + 154*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p - 7. Suppose -9*q - 12 = 51. What is k(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 49.\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -5*o**6\/2 - 2*o**5 + 15*o**4\/4 + 10*o**3\/3 + 10. Let w(c) = 0. What is c?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = v - 53 - 30, 32*v - 28*v = 5*g - 60 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 62. Which is the nearest to 1\/2? (a) p (b) -1\/6 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 1497, 3347, 5937, 9267, 13337?\nAnswer: 18147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 + 12*m - 14. Calculate x(6).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 + 5074*s**4 - 5071*s**4 + s**2 - 7 + (1 + s**2 - 1)*(0*s**2 + 2*s**2 + s**2).\nAnswer: 6*s**4 + s**2 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3298889 (base 10) to base 8.\nAnswer: -14453111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -105\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 4, o: 2, x: 4, q: 1}. Give prob of sequence zhx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4720310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, 0.04, 116, -2\/3 in ascending order.\nAnswer: -2\/3, -0.3, 0.04, 0.4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 422822 times 0.12\nAnswer: 50738.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 3, z: 5, k: 5, b: 5}. What is prob of picking 1 k and 1 g?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15*g + 176 = 0. Calculate the highest common divisor of 208 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3768054 is divided by 64.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 21\/6)*-2. Suppose o + 2*l = -4, o = -3*o + 3*l + 6. Suppose o*p = -d*p + 105. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-12) - (-53 - -57).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -622433 + -1.8\nAnswer: -622434.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 712412401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0.02, 3, 10?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1336993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 + 30*t**2 + 63*t = 0?\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6867\/5 - -1373. Sort -3\/2, -1\/12, j in ascending order.\nAnswer: -3\/2, j, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1119 and 16412.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/(-7) + -83 + 91. Sort 1\/3, -1, 6, u in ascending order.\nAnswer: -1, u, 1\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3488, 8084, 12664, 17222, 21752, 26248?\n\"Answer: -r**3 - 2*r**2 + 4609*r - 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/27667 and 29\/56283.\nAnswer: 21331257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:03 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 2756\nAnswer: 66\/689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 18*k + 5. Let r be f(19). Let v = r - 2. Suppose -4*d + 132 - 44 = 5*z, 0 = -4*d + 3*z + 88. What is the greatest common divisor of v and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40 - (10\/5)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15990000 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(2*sqrt(143)*-2 - (sqrt(143) + (-2*(1*sqrt(143) + sqrt(143)) + sqrt(143) - sqrt(143))))\/(2*sqrt(1331)*-2).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14413431 (base 5) to base 14.\nAnswer: -402d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17172819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.5 - 119.5. Let k = -101 - t. What is the nearest to -1\/4 in 1, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -325, -2, 3, -4, -80.\nAnswer: -325, -80, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-13) + -33 + 9506\/637.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -993*j. Let b(q) = -727*q + 61. What is b(l(v))?\nAnswer: 721911*v + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -592\/15 - -602\/15. Determine i, given that 2\/3*i**2 - 4\/3*i + 0 - h*i**4 - 2\/3*i**5 + 2*i**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 220\/(-30)) + -4 + 1. Sort -4\/3, c, -10, -0.3.\nAnswer: -10, -4\/3, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 3. Let w(u) = 6*u + 7. Let k(b) = 3*b**2. Let y be k(1). What is y*w(d) + 7*n(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 9:54 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3\/7*i**2 - 600\/7 + 15*i = 0.\nAnswer: -40, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 11*o + 2. Suppose -4*q - 11 = -5*q. Let i be r(q). Suppose -i*u + 7*u - 20 = 0. Calculate the highest common divisor of 20 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3463175?\nAnswer: 5, 83, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.97117l to millilitres.\nAnswer: 8971.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/260 and 230\/7568 - (8 - (-1890)\/(-231))?\nAnswer: 22360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -98. Suppose 23 = 2*t - k. Calculate the greatest common divisor of 256 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 525 + -39. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -2*h**4 - 7*h**3\/3 - 44. Find the third derivative of l(u) wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(65)\/sqrt(5) + sqrt(468) + 0 + (sqrt(13) - sqrt(91)\/(sqrt(7) + 4*sqrt(7)) - sqrt(117)\/(sqrt(9)*3)).\nAnswer: 82*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - x - 13. Determine d(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 42 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998546.7ug to kilograms.\nAnswer: 0.0009985467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:27 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 10) to base 16.\nAnswer: d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16 and -23626.\nAnswer: -23642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 977*l**2 - 6*l - 12. Let w(v) = -634074*v**2 + 3896*v + 7792. What is 1948*m(k) + 3*w(k)?\nAnswer: 974*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:06 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + w - 36 + 7 + 23.\nAnswer: w + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 268073898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {d: 1, v: 5, g: 1, w: 6, t: 1}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rra when three letters picked without replacement from kgkkkarkkrakrkxargax?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 48*w + 195. Let x be s(19). Solve -x*r + b = 16, -7*r - 4*b = -3*r + 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85.1476*0.22.\nAnswer: -18.732472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + -1 + 7 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/4250 and 67\/4250?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5072836019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140221149 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.157 - -66.557. Let y = k + -54. Let l = y - 12.40282. What is l rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1330*l + 1387 - 4588 = -348*l + 3673 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88))\/(sqrt(10)\/(sqrt(5)*1)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 7*u + 12. Let i be q(-5). What is the tens digit of 1*i*(-5 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.587 - -2.487. Let x be (-270)\/50 - 5*-1. Put -0.3, b, x in decreasing order.\nAnswer: b, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:52 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4168 + 19*z**2 + z**2 + 4180 + z**3 - 20*z. What is b(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 41 = m, n = -2*m - 2*m + 99. What is the remainder when m is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 371*l**2 - 4*l + 25. Let h(b) = 369*b**2 - 5*b + 32. Give 4*h(k) - 5*m(k).\nAnswer: -379*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 6. Let v be k(2). Solve -5*j - 30 = 4*r, -8*j - 2*r = -6*j + v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.25 and -439643.\nAnswer: -439644.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 27*r - 39. Calculate p(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53022539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1965 = -0*a. Let d = 727\/2 + a. What is the common denominator of d and ((-1)\/((-1)\/(-73)))\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 21 - 3 - 24.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16468731 by -5489577.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295970\/52230)\/(2\/4*6\/(-9)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x - 906. Suppose -9*l + x = -6*l - 2*n, l - 5*n - 302 = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24 - -7967620)\/26 + (-9 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 3. Let p be (-14)\/(-2) + (14 + -5 - 15). Sort p, -4, -1, q in descending order.\nAnswer: p, -1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 2*u + 5. Give a(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -790*y - 11920 + 8771 + 21919 + 44430 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 176677, 353352, 530027, 706702, 883377, 1060052?\n\"Answer: 176675*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -21*r - 72 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 85, 7, -5 in descending order.\nAnswer: 85, 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -12. Let s be 1*3 + (-48)\/p. Sort -1, s, -2 in increasing order.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8436 and 31413.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352343.\nAnswer: 463, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**5\/20 - b**4\/3 - b**3\/3 + b**2\/2 + 2*b + 4. Calculate l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from {x: 2, z: 1, n: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/24)\/((-1)\/(-2)). Let t = -5.8 + 5.69. Let f = -2.89 + t. Sort -2\/5, f, s in decreasing order.\nAnswer: s, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + b - b)*(0 - 3 + 1) + 7*b**2 - 3*b**2 - 3*b**2 + 2*b + b**2 - 2*b + (2 - b - 2)*(-b + 5*b - b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -1) + 133\/(-42). Let z = -32 + 414\/13. Put s, z, 34, -0.3 in decreasing order.\nAnswer: 34, z, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**2 - 5*h - 5. Let v(y) = y**2 + y + 1. Let f(i) = -q(i) - 5*v(i). Let k(w) = -1. Let c(g) = 3*g - 3. Let o(p) = -c(p) + 3*k(p). Give f(o(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*h + 9, 3*h - 1 + 9 = -2*y. What are the prime factors of 5\/(-10) - 5\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 6. Let d be t(5). Let r = 4 + -6. Suppose 3*v - 7*v = -12. Sort r, d, v in descending order.\nAnswer: v, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2. Let x(b) be the second derivative of -35*b**3\/6 - 3*b**2\/2 - 781*b. What is z(x(v))?\nAnswer: 7350*v**2 + 1260*v + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, 0.2, 3.6 in decreasing order.\nAnswer: 13, 3.6, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 * -0.1\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-84)\/(-16) - (-102)\/(-120). Let a be (4\/(-20))\/(2\/(-6)). Factor a*n + 1\/5*n**2 + r.\nAnswer: (n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83960120.\nAnswer: 2, 5, 23, 263, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.56 - 7.14. Let n = 8 + z. What is the second smallest value in -5, -4\/3, n?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/66 + ((-164160)\/2090)\/(-48)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 23*p**2 + 22*p + 4. Let c be n(22). Suppose -2*b = 4 + 6, -4215 = -c*u - b. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0 - 6 + 4 + 4*d**2 to k*d**2 + v*d + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*(-2)\/6)\/(-1). Suppose 4*w - 5 = 3. Solve z = 4*n + 3*p - 3, 5 = w*n + 3*n + 5*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 2 - c**2 + c**2)*(229*c - 262*c + 289*c).\nAnswer: -512*c**3 - 512*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287829864.\nAnswer: 2, 3, 7, 79, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -37*t + 563. Determine o(17).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -397, -919, -1661, -2629, -3829, -5267, -6949?\nAnswer: -8881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -73.7 * -8314.3\nAnswer: 612763.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -1\/4, -5, 0.391, 236, -2\/7, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3538\/7 + -506. Let t = 7\/5 + -9\/10. Let n = 5.4 - 5. Which is the nearest to t? (a) u (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:09 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54040 - 5?\nAnswer: -54045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16092 - 96845\/6. Let f = -136\/3 - o. Solve -37\/2*a**3 + 9 - f*a**4 - 31\/2*a**2 + 57\/2*a = 0.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 417\/12. Suppose -18*s = -13*s - i. Suppose 3 = -n + s. Calculate the lowest common multiple of 14 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67016.\nAnswer: 2, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3\/(i**(-1\/2)\/i)*i\/(((i*i**(-1\/8))\/i*i)\/i*i)*i*i**(-5)*((i**(-2\/3)*i)\/(i*i*i**2))\/(i**5*i\/i**(-1\/3)) assuming i is positive.\nAnswer: i**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqdddqqqqqqqq. What is prob of picking 2 d and 1 q?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28817?\nAnswer: 28817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*c - 34 = -7*x, 0 = -x + 4*c + 14. Suppose x = 3*w - 4*w. Let g be (-2)\/w - 1\/3. Solve -n + 3*n - 6 = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 4 = -x + 11*t, -x + 5*t - 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 + 533805*v**2 + 3736678*v + 3202872 = 0. What is v?\nAnswer: -6, -1, 533812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 9 = -l - 31, 5*n = -5*l + 15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 55 = 262. Let i(x) = 2*x**3 + x. Let g be i(1). Suppose -g*b + 5*b = -5*u + 169, -5*b = -u + m. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 54*m - 60*m + 10*m + 2*m + 4*m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -877068, -3508306, -7893702, -14033256, -21926968, -31574838?\n\"Answer: -877079*o**2 - o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 26. Let g be (-7)\/(-42) - s\/(-30). Sort g, 0.3, -2\/11 in decreasing order.\nAnswer: 0.3, g, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 7) to base 6\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3))**(4\/17))**(-3\/8)\/((w\/w**(6\/5)*w**(-4\/9))\/(w*w**(-2\/5)*w**(-1))) assuming w is positive.\nAnswer: w**(779\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 300\/27 - ((-25)\/45)\/(-5). Which is the smallest value? (a) 2\/11 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 767\/9 + -85. Suppose 3*u + 4 = 5*u. Let z = -54 - -51. Which is the nearest to u? (a) k (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 18 = 4*l, -2*x + 62*l = 58*l + 36. Let z(k) = -29*k**2 - 173*k + 11. What is z(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5010b (base 12) to base 13\nAnswer: 38354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -647, -894, -1113, -1310, -1491, -1662?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 6*w**2 + 8*w. What is h(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 4*i**2 - 7*i - 5. Let d be n(-5). Let a(b) = -2*b + 3. Suppose 28*w - 42 = 14*w. Let z(j) = w*j - 8 + j**2 + 11 - 10. What is d*a(c) + 2*z(c)?\nAnswer: 2*c**2 - 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1\/28, 2\/3, -1\/5, -2\/145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o + 18. Let b(g) = 7*g + 15. Let h(d) = -6*b(d) + 5*p(d). Let t(f) be the third derivative of -13*f**5\/60 - f**2. Calculate h(t(i)).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.166506ml in litres?\nAnswer: 0.009166506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 - 2.1. Let s = x + -3. Let j = 1428 - 1426. Which is the closest to 6? (a) -5 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458936459 - -0.5?\nAnswer: 458936459.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(3 - (-1 - (3 + -6)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let c(q) be the first derivative of -5*q**2 + 3*q + 12337 - 6*q - 12458 + 2*q. What is v(c(n))?\nAnswer: 200*n**2 + 40*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51790 or -50758?\nAnswer: -50758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1797 + 0.\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(-11)\/(0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -60*m + 73*m - 319 + 780 - 347. What is c(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 60, 30, 16, 24?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 33085*b. Let h(l) = 6798*l**2. Give h(v(c)).\nAnswer: 7441207895550*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*-4*(sqrt(264)\/(sqrt(44) + sqrt(11)) - (sqrt(48)*1)\/sqrt(2))\/(sqrt(32)*1 + sqrt(8) + (sqrt(24)\/sqrt(3)*3 - sqrt(8) - sqrt(8))))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 83\/7 (b) 63 (c) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/19, 0.3, -1\/7, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 7\/3 in increasing order.\nAnswer: -2, 7\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = 2*w, 37*b - 25 = 42*b - 4*w. Suppose -2*l + 5*k + 24 = 0, 0 = -2*l + 4*l + k. Put 1, l, b, -5 in ascending order.\nAnswer: -5, b, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*d - 12 = -6*m, -1606*m + 268 = -1608*m - 66*d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*g - 7, 4*g + 1 = l + 17. Which is the second biggest value? (a) l (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32235 + 28329 = -486*s - 102*s for s.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05415 - -17.44585. Which is the third biggest value? (a) 4 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 157096 = 12*d, -4*u - 13106 = -121*d + 120*d. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = -47*h + 399 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000243 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/84 and -58\/321.\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*b - 11, 0 = -0*b - b - 3*n - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.25844 and -0.2.\nAnswer: 0.05844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 2, v: 4, h: 2}. Give prob of sequence vx.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 2*n + 4*n)*(3*n - 3*n - n)*(-8 + 20 + 9) in the form j*n**2 + x + v*n and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:59 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 204, 203, 202, 201, 200?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 1:00 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.5 + 5. What is the closest to 4 in g, -4\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271928320 a multiple of 1953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.7 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/140 and -41\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 3283.\nAnswer: 16\/3283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -17. Let b be (-1 + 19)*6*a. Let k = b - 77. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 - 11*x**2 + 19*x - 89. Determine g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894863 is divided by 81285?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-212)\/111088)\/(1\/(-8))?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -20*b + 15. Let c be t(5). Let v = c - -87. Suppose 4*h = -v*y + 7154, 3*h = h + y + 3583. Round h to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207626789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260286 divided by -4.\nAnswer: -130143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681*s + 1248 = 1777*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 3. Let s be y(3). Let f = -159 - -163. Suppose -22 = -5*o - 4*n, 16 = 4*n + f. Solve -3*z + 5 - o = s, -2*l - 5*z + 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -215*o**5 + 6*o**4 - 148*o**2 + 12*o - 1. Let b(g) = g**5 + g**4 - g**2 + 2*g. Let w(p) = -6*b(p) + t(p). Find the third derivative of w(n) wrt n.\nAnswer: -13260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4828*g**4 - 6701 with respect to g.\nAnswer: -19312*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 602 + -602. Solve 4*r - 9 = -4*t + 3*r, 5*t + 2*r - 15 = y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 34 = -34. Suppose -2*y = -3*r - k + 4, 0 = -3*r - 4*y + 10. Let a be (-3)\/(-6)*-4 + r. Is a bigger than -12\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 + 279. Suppose -a = -6*u + 455. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005600499824 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2. Let c be q(-1). What is the derivative of 4 - c - 5*p + p**3 + 5*p wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:30 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*i = -90*i - 3*s + 9, -2*i - 1 = 5*s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-4) + (-9)\/(-12). Let s(j) = 18 - 18 + x*j. Let u(m) = -3*m + 0*m + 3*m + 2*m. Give s(u(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.19 - 0.07. Let j = -0.26062 - m. What is j rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.052.\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 2. Let v(h) = 261*h**2 - 13*h - 8. Let o(i) = v(i) - 3*w(i). What are the prime factors of o(-1)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 9 = -5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -47. Suppose 5*d - 302 = 2*j, -d + 4*j + 48 = -g. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*c**2 - 685*c**2 - 14*c**3 - 231*c**2 + 13*c**3 + 157*c**2.\nAnswer: -c**3 - 939*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*u = 13, -120*a = -124*a - u + 24. Let j = 8 - -6. Suppose 6 + j = a*p. Is p greater than or equal to 34\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 70*f - 71*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 34*s + 371. Calculate z(-9).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 11401.\nAnswer: -25\/11401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**3\/6 - v**2 + v. What is a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 9*d**3 + 5*d**3.\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/7 + 12836462*m\/7 + 1833780 = 0. Calculate m.\nAnswer: -6418230, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 227412198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6962 and -5\/6.\nAnswer: 20886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i**(-7\/3))\/(i\/(i**(1\/3)*i))**(-1\/25))**(-4\/25) assuming i is positive.\nAnswer: i**(2804\/1875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 2, 2\/9, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 9*h**2\/2 + 16. Let m(x) = -2*x. Determine m(r(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -338 + 466. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5100 (base 7) to base 9\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 0, -1756.37?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1\/4, 27, 1\/3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20*(1 + -2)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*z - 29*z - 31*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 256 and 7149.\nAnswer: 7405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s - 3*s)*(-2*s**4 + s**4 + 0*s**4 + (-4*s + s + 4*s)*(s**3 - 5*s**3 + 0*s**3)).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*p + 24*p**3 - p**2 - 55*p**3 + 5*p**2 + 14*p**3 + 18*p**3 as z + c*p + t*p**3 + q*p**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20666566 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*x = 6, f + 3*x + 9 = 7*x. Suppose 5 = 3*t - 2*s, -3*t + f*s = -0*s. Solve 0 + 5 = -t*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2299) + -1) + 1*(sqrt(2299)*-2 - sqrt(2299)))*5*-6*3.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:29 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3 - 759*l**2 + 15*l - 14602 wrt l.\nAnswer: -3*l**2 - 1518*l + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 37509336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - d**3 + 0*d**2 + 0*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*x = -187*x + 100744. Calculate the remainder when x is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2452 + -2457. Let o = 34 - 22. What is the second smallest value in t, 3\/5, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 349 and 110633?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101147855, -202295710, -303443565, -404591420?\nAnswer: -505739275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -68294895.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44023 is divided by 21027?\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 1440 = -335 - 485 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 19.\nAnswer: -51\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002455 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let g(u) = 3*u**2 - 2*u + 1. Let b(j) = -3*j**2 + 3*j. Let m(q) = -2*b(q) - 3*g(q). Let h(k) be the first derivative of m(k). Determine h(s(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 330982470 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111455647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65073 - 18870*m**2 + 65076 - 130149 + 6466*m**2 to the form o + z*m + j*m**2 and give j.\nAnswer: -12404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 6, 2, 0, 0, 2, 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -571*h**2 - 293014*h wrt h.\nAnswer: -1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 72911?\nAnswer: 72911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -308\/3 in -0.4, 4\/9, 14\/3, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-45)*((-8)\/(-21))\/((-8)\/12).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2108)\/918)\/(40\/(-540))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 3 + 4 - (0\/1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16283 or 16282?\nAnswer: 16283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 + k + 13. Let a(r) = -r - 12. Let p be a(-12). Let s be p*((-14)\/(-8))\/7. Let h be f(s). What is the highest common factor of h and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 5*b + 2915 = -26*d, 0 = -2*d + 5*b + 5805. What are the prime factors of d?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjeogyjooemeje. Give prob of picking 1 o and 1 j.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 23*i**2 - 8. Let z be j(-23). Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k**3 + k**2 + 2*k - 1. Let g be u(2). Let p = g + 159. Let y = p - 48. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213514 and 12785472.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63579 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(864)*-1 - sqrt(24)) + sqrt(24))*-5)\/(-5*(-2*sqrt(80))\/sqrt(10)).\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(2*t + t - t) - 5*t + t + 3*t + (1 + 2 - 5)*(0*t - t - t) - 4*t + 4*t + 2*t - 1 + 1 - 2*t + t + 28*t - 80*t.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33416320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u - 10 - 11\/2*u**2. Let z(d) = -d**2. Determine z(s(l)).\nAnswer: -121*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092 divided by 21?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((1 - -2) + 57 + 360 + -359)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9075 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, 0.2, 1\/597, -535, -5?\nAnswer: 1\/597","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/741 and -30\/43609?\nAnswer: 32314269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-3)\/(-12)*((-476)\/24 - -20). Which is the closest to i? (a) 2\/381 (b) 13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*p = -2*n - 104*p - 8, 0 = -3*n + 5*p - 9. Let j be n\/1*(2 - (9 + -11)). Solve -4*r = -3*t + 18, -j*r - 21 = -3*t - 3*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*q = -485*q + 161 - 520 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 2667\/210)\/(5\/50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 5*t - 2*s, 0*t - 2*s + 100 = 2*t. Suppose -t = z + 25. List the prime factors of -1*2\/5*z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932911141?\nAnswer: 53, 17602097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12003 (base 4) in base 9?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 10*i + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 10*i - 6. Let l be z(11). Let y(j) = -j**2 + j + 7. Let p be y(l). Let m = p + 23. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/2*1240\/2480 - 18\/(-5)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 0. Is -63 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 7*l + 3. Let w be (-4)\/6*-3 - -5. Let r be h(w). Suppose -r*f + 6*f = 0. Solve 0 = -3*q - f*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 669\/11902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1462 by -5388.\nAnswer: 731\/2694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6773)\/2084*(-84)\/39)\/(10\/4).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114\/5 - -23. Which is the closest to 2? (a) -0.5 (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36580 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let i be (0 - (-3)\/3)*(2 + -2). Let s be b(i). Suppose 2*j - 22 = -3*v + 16, 4*j + 5*v - 80 = s. Calculate the highest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1962 + 2239. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -1*(sqrt(27))**2 + 5.\nAnswer: -22 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**6\/30 + 5*t**4\/6 + 17*t**2\/2 + 39*t. Find the first derivative of v(m) wrt m.\nAnswer: 4*m**3 + 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 8*a - 1. Suppose -10*u = 1 + 19. Let w be b(u). Put -2, -31, w in increasing order.\nAnswer: -31, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n + 12. Let p(s) = 11*s + 25. Let f(g) = -9*c(g) + 4*p(g). Suppose 3*z + 3*y + 2*y - 10 = 0, 0 = -3*y + 6. Give f(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 12951960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1458639 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + g + 6. Let m(i) = 2*i**3 + 32*i**2 - 23*i - 372. Let c be m(-16). What is b(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15466*x + 52*x**2 + 166*x**2 + 15446*x - 30912*x.\nAnswer: 218*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*x = -40, -60 = -3*j - j + 2*x. Solve 4*s + j = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455 by 6.\nAnswer: -455\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/21 - 590\/7. Let d be 1*3\/((-9)\/a). Let g(i) = -2*i**3 - 11*i**2 + 3*i - 13. Let q be g(-6). Solve 0 = q*j - 4*j + 5*c - 5, 0 = -4*j + 4*c - d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21052165*l - 32694485 wrt l?\nAnswer: -21052165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 + 1623 = -91*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108891263.59999675 - -108891430.6. Let o = b + -167. What is o rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69251804 to 4 dps.\nAnswer: 0.6925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.587585449 to four dps.\nAnswer: -0.5876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 8:43 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/2 - 3096*m**2 + 6390144*m - 4396419072 = 0. What is m?\nAnswer: 2064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/100672908 and -83\/6342.\nAnswer: 100672908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q - 1. Let v(k) = k**2 + 6*k - 122. Determine 2*o(y) + v(y).\nAnswer: -y**2 + 2*y - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 115 = -5*z - 2*x, -5*x = 0 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is bdea53 (base 15) in base 12?\nAnswer: 304b650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*(l**(-1\/4)\/l)\/l)\/((((l**7*l*l)\/l)\/l)\/((l*l\/(l*l**7))\/l))*((l**1)**(1\/2))**(-8) assuming l is positive.\nAnswer: l**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z\/(z\/z**(-17\/3)*z))\/z)\/z*z)\/(z*(z*z**(5\/6))\/z*z))\/(z**(-2\/61))**(-50) assuming z is positive.\nAnswer: z**(-1359\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppbbpppbppp. Give prob of picking 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52465 is divided by 26150.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265 + -237. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -10. Let u = 4 - q. What is the nearest to 0.1 in -2\/9, 2\/3, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91260 is divided by 15210.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 23 = -4*r - 0*r, -5*r - b + 7 = 0. Let o(w) = 9*w + 1. Let g(h) = -4*h - 6836 + 6836. Determine r*o(m) + 5*g(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a3 - 0?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 6*n - n + 19, 2 = 2*b - 2*n. Let r(h) be the third derivative of h**5\/15 - h**4\/12 - h**3\/3 - h**2. What is the tens digit of r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000736482 rounded to 7 dps?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 212, 172?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 8*h - 1. What is the units digit of j(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1596, -3198, -4786, -6354, -7896, -9406?\nAnswer: -10878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 6*n - 6. Let l be t(4). Let u = 12 + l. Suppose 3*j - 5*z = -u + 52, -5*j - 2*z + 53 = 0. What is the remainder when 29 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, y: 7, m: 6, x: 1}. Give prob of picking 2 y and 1 k.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 562\/213 and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:46 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 44*r**2 + r + 7687. Let n(q) = 6*q. Determine j(n(t)).\nAnswer: 528*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 2. Let j(m) be the third derivative of -m**4\/8 + 5*m**3\/6 - 442*m**2. Determine -3*j(q) - 5*z(q).\nAnswer: -q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 554.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n + 1. Let u(g) = 12*g**2 - 10*g + 10. Let k(i) = u(i) - 10*x(i). Let y(a) = 3*a. What is y(k(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 9:15 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 h, and 1 m when four letters picked without replacement from fffhfhffhmh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 17 - 16 + 31*b**3.\nAnswer: 31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -406 - -17425?\nAnswer: 17019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1776 and 600?\nAnswer: 44400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 2*x**3 + 5*x**3)*(0 + 1 + 0) + (-4*x + x + x)*(x**2 + 2*x - 2*x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 386992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7 + 3 + 9 = -z + 6*z - k, 2*z = 3*k + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and -2819.\nAnswer: -107122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3 + -17 + 2 + -4. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868936703 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -1\/4 (b) 0 (c) 0.2 (d) 0.21 (e) 1.2 (f) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5\/21 - 2*a**4\/7 - 2*a**3\/7 - 2*a**2\/21.\nAnswer: -2*a**2*(a + 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711874.\nAnswer: 2, 3, 11, 17, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**5\/10 + 37*w**4\/6 + 70*w**3 - 25*w + 70. Suppose i(y) = 0. What is y?\nAnswer: -5, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 1. Let m be d(1). Suppose 0*k + m*k + 4*r - 68 = 0, -4*r + 158 = 5*k. What is the highest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {r: 2, v: 2, d: 11, k: 1, e: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 20 - 66) + (3 - (-2 + -1)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5 - -0.5. Let i = b - -1. Let d = i + 0.7. What is the smallest value in 0, d, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -866*h**4 - 2*h**3 + 11997*h**2 wrt h?\nAnswer: -20784*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)*n)\/(n*n*n*n**(3\/5)*n*n))**29\/((n**1\/n)**(28\/9)*(n\/((n**(-3)*n)\/n*n*n))\/(n\/(n*n**(-3\/2)))) assuming n is positive.\nAnswer: n**(-2499\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.59955 - -1.6. What is x rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2346295 divided by 1505.\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 748314 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 145*h + 3*h**2 + 142*h + 27.\nAnswer: 3*h**2 - 3*h + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 28*c**2 + 0*c**5 - 44*c + 1\/3*c**3 + 0 - 1\/6*c**4 + 113\/30*c**6. What is the second derivative of n(u) wrt u?\nAnswer: 1356*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 49*o - 569. Let u be c(-10). Let b(v) = -3*v + 78. Determine b(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1281\/63)\/(-61))\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 101372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 0*w**2 - 1\/3*w**3 - 1 + 19*w. Let l(k) = -k**3 - 38*k**2 - 37*k. Let o be l(-37). Give g(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 292, 548, 804, 1060?\nAnswer: 1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2839*w - 2841*w + 6.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 4. Let h be q(7). Suppose 5*m + 2 = 77. Calculate the remainder when m is divided by 0\/3 - h - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131820*a*c**3 + a*c**2 + 129584*a*c - 2*c**2 wrt c.\nAnswer: -790920*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**2 - 15128070*u + 180150111 with respect to u.\nAnswer: -4*u - 15128070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*v**3 + 2436*v**2 - 2465*v**2 + 7*v**3 wrt v?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 9:32 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adhh. What is prob of picking 1 d and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 137*s - 407. Determine r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 2*h**3 + 4*h**3 + (3*h**2 + 1 - 1)*(546*h + 830*h - 58*h).\nAnswer: 3955*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 469\/3. Which is smaller: y or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-1)\/sqrt(8) + 1)**2.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 100 = 14*u + 4*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -218020, -217993, -217966?\n\"Answer: 27*v - 218047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2487 and 4.26.\nAnswer: -2482.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -118336 (base 10) to base 6\nAnswer: -2311504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 506, 13, 2, 1, -2 in descending order.\nAnswer: 506, 13, 2, 1, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17954 and 54238?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 339*o**3 - 941*o**3 - 795*o**3 + (-3 + 3 - 1)*(4*o**3 + 0*o**3 - 6*o**3) + (3*o**2 - 2*o**2 + 2*o**2)*(-o - 2*o + 5*o).\nAnswer: -1389*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 17194096, 1\/3?\nAnswer: 17194096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3180060 and 971685.\nAnswer: 34980660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and 279.64.\nAnswer: 279.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -355?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 18*u**3 + 53*u**3 - 109*u**3 - 106*u**3.\nAnswer: -180*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-200)\/(-40) + -2*1. Suppose -72 = 2*h - 6*h + 2*y, 0 = -h + v*y + 8. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 - 20*g - 21. Let z be v(4). Find the second derivative of -49 - 51 + 157 + 3*a + 155*a**2 - z wrt a.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 9. Let c = -8 + u. Suppose 31 = -0*p + 2*p - 5*s, -2*p = c*s - 76. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8248989 tonnes to milligrams.\nAnswer: 824898900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -14*y + 56. Let i be b(11). Let u(x) = -25*x**2 + 8*x - 13. Let m be u(2). Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, s: 3, x: 1, q: 3, v: 5}. What is prob of picking 1 s, 1 x, and 1 y?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31062, -61990, -92688, -123042, -152938?\nAnswer: -182262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5, -1\/4, 0.1, 5.34?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -30. Let o(p) = -p**2 - 8*p + 12. Let c be o(r). Solve -c = 3*w - 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (158607\/12)\/((-118)\/(-8) - 14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.55 - 6.55. Let q = -11689 + 11690.9947. Let j = q + y. What is j rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 5733174?\nAnswer: 401322180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x*(x*x**(10\/9))\/x)\/x*x*x*x)\/x))**45)**(-10) assuming x is positive.\nAnswer: x**950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 6. Let h = 22 - 22.3. Put h, 4, m in descending order.\nAnswer: 4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4)\/((-2)\/(-119144)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*c - 26*c - 10*c)*(-3 + 5 + 1)*(2 - 2 - c).\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.5, 15, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 4:12 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j*j\/j**(-2\/5))\/((j*j*j*j\/j**(-2\/5))\/(j\/(j\/j**1)))*((j**(-5\/2)\/j*j)\/(j\/j**(-1\/6)))**19 assuming j is positive.\nAnswer: j**(-218\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1368 and 1976?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177844 smaller than 1177842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011011111001010 (base 2) to base 3.\nAnswer: -1110000102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tztt when four letters picked without replacement from ttttzttct.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/38 and -45\/22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35219 + 78566. List the prime factors of u.\nAnswer: 3, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, 5, -2.\nAnswer: -2, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**4 + 88*g**2 + 5*g + 77076 wrt g?\nAnswer: -4*g**3 + 176*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(437 - 1329 + 461 + 431 - 2530*q).\nAnswer: -5060*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (4 - 2) - (-53 - -62).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -90 + -11 + (-21 - -44) + -3\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-280)\/(-75))\/(-7))\/((-10)\/25)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156978 > 1883737\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528 = 15*q + 33*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 234*l + 176. Suppose -b = 75 - 81. What are the prime factors of o(b)?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 527*p + 531*p + 22, 4*p - 23 = -3*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnmmnmnnmmnnnnnnnn. Give prob of sequence nmm.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2679489 and 1055?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:31 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 69. Let q(v) = -2*v**2 + 230*v. Give q(w(h)).\nAnswer: -18*h**2 - 1518*h - 25392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 + (5 - -32) + -3 + 3 + 1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3936 divided by -2.\nAnswer: 1968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -71, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z\/(z*z*z*z**(-33)))\/z*z*z**34)\/(z**(-22)\/z**(-4\/19)) assuming z is positive.\nAnswer: z**(1687\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v + b + 3, -4*v - 5*b - 29 = 0. Let y(t) = t**2 - 2*t - 1. Calculate y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230137564?\nAnswer: 2, 307534391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13006 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 34*y + 252. Give n(8).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + -53?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-77) - 1314\/396) + 5\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38747, 77442, 116137, 154832?\n\"Answer: 38695*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b**2 - 2*b - 14. Suppose -4*y + 5*j - 38 = 0, y = -y + 5*j - 24. Let w be o(y). Suppose -5*h = -w + 126. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/79? (a) -0.4 (b) 0.04 (c) 2\/5 (d) -1.3 (e) 4 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 401902*b**2 + 730773 with respect to b.\nAnswer: 803804*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22*86876\nAnswer: -1911272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 + 151. Factor 1\/6*c + m + 1\/6*c**2.\nAnswer: c*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 18. Let r be y(-7). Let x(i) = -2*i + 8. Let b(o) = -3*o + 17 - 27 + 12 + 7. Give r*b(p) + 4*x(p).\nAnswer: p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680174234.\nAnswer: 2, 340087117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.11. Let w = h + -4.99. Let u = 270 + -811\/3. What is the nearest to u in 3\/2, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 - 114. Suppose -2*j + 10 = 0, -20 = -2*q - 4*j + 38. What is the highest common divisor of q and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115773*i**4*t + 904*i**4 - 8*i**2*t + 3*i**2 - 2*i*t - 3*i + 212151*t - 2 wrt i.\nAnswer: -2778552*i*t + 21696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1\/12, 2\/131, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1163 <= -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 + 6672*b**2\/5 + 2814576*b\/5 - 1049556864\/5.\nAnswer: 3*(b - 232)*(b + 1228)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2056 and 83337904.\nAnswer: 83337904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 32 - 4. Let n be ((-12)\/(-2))\/(-1)*-1. Calculate the greatest common factor of n and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2043341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80600 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -10) + -4 + 3 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + (-84)\/(-8) - (-39)\/2. Solve 3*m + 5 = 4*b - 6*b, -m = -5*b - k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7047 divided by -3?\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25640 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 222.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 521093951, 521093948, 521093945, 521093942?\n\"Answer: -3*m + 521093954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -118*k - 282. Let y be b(-4). Suppose 5*q - 5*r - 395 = 0, 5*q - 310 = q + 2*r. What is the highest common factor of q and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3138533136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + w**2 + w. Let m(f) = -7*f**3 - 4 + 3*f - 4 + 2*f**2 + 8. Let s be (1 + 15\/(-6))\/(6\/16). Give s*x(u) + m(u).\nAnswer: -3*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1410*k + 4296*k + 3591*k + 1793*k to the form p + i*k and give i.\nAnswer: 11090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*664.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 + -6 - -5) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168768735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (18 + 0) - (-1 - 8).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + -222 + 199 - -3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q**3 - 3*q**3 - 32*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + (-12971)\/238 - ((-4)\/(-10))\/((-4)\/(-65)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -27099?\nAnswer: 27099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 816 - 545. Suppose -i = n - 1, 4*n - 2*i + 8 = 36. Suppose 1246 = n*o + l. List the prime factors of o.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(1 + (-2)\/(-4)). Let v(x) be the first derivative of 34 + 0*x - 3*x**2 - 49 + 16*x. Let i(g) = -g + 3. Give r*v(c) - 16*i(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 155918\/(-663705) + (-4)\/(-21)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/40 - 3*b**5\/20 + b**4\/8 + b**3\/6 - 35*b**2. Is 49 a factor of w(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213597?\nAnswer: 43, 51479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15871 is divided by 15856?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 12*f**2 + 25*f - 279. What is m(7)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmdmdddddv. Give prob of sequence dd.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12*l - 2. Calculate the remainder when w(-4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y + h = -502, 3*y + 2*h + 1507 = 0. Let j = -235 - y. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, o: 3, h: 6, z: 2, v: 1}. What is prob of sequence hdhd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 287 = f - 283, 14 = -2*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.7688um in meters?\nAnswer: 0.0008617688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**6\/360 + a**5\/60 + 5*a**3\/3 + 3. Let g(n) be the third derivative of u(n). What is the second derivative of g(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3\/7, 83, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:49 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -3, 233 in decreasing order.\nAnswer: 233, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n - 412. Determine q(52).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -106*(-1 + (-105)\/(-100)) and -83\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1556 (base 14) to base 10\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b**2 + 962*b. Let v(l) = -4*l**2 + 321*l. Determine 6*s(p) - 17*v(p).\nAnswer: 2*p**2 + 315*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 9*p**2. Let s be z(9). Let i(o) = 2 - 10 - 3*o - 1 + 6 + s*o. Let v(n) = 6*n + 7. Give 5*i(k) + 2*v(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.165 - -0.404. Let u = 0.269 - x. Put -5, -0.8, u in descending order.\nAnswer: u, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/3 + 4\/(-6). Suppose q - 196 = -i*q. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+0.045350088\nAnswer: 5.045350088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*i + 0*i = -144, -2*x + 4*i = 96. What is x rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**5 + 471*g**4 - 29820*g**3 - 61500*g**2 = 0.\nAnswer: -205, -2, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5208963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 490.99998337 + -491. What is p rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + i - 2*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*g = -11226. Suppose 5*u = 474 + g. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjlluz. Give prob of picking 2 l and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6723880 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 66. Suppose 0 = -4*u - 4*j, -5*u + v = -3*u - 5*j. Solve -u*w + 13 + 12 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006 (base 8) in base 10?\nAnswer: -518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3648210 and 5585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8681120.\nAnswer: 2, 5, 7, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2779, 285.\nAnswer: -2779, -5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 1\/4, 5915, 7, 60, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 + -12 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 34 - 74. Which is the third smallest value? (a) y (b) 4 (c) 1\/35 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d147 - -8f?\nAnswer: -d0b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437169181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 32*n**2 - 23*n + 90. Let x be o(5). Suppose -f - 502 + x = 0. What are the prime factors of f?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15119*j**2 - 30. Let d(k) = 2*k**2. Give s(d(g)).\nAnswer: 60476*g**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8397 from 0.\nAnswer: -8397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 615, 795, 975?\n\"Answer: 180*j + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-9)\/6)\/(23\/414). What is the tens digit of u\/36 + 3322\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2 - (15 - 18))*(-14 + 527\/34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 7*m**2 + 5*m - 1. Let u(l) = 9*l - 66. Let h be u(8). Calculate t(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z. Let b(v) = -v - 472*v**2 - 51*v + 103*v - 51*v. Give f(b(h)).\nAnswer: -3304*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/959 and -44\/13?\nAnswer: 12467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9857.145 years to decades.\nAnswer: 985.7145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 25*x**2 + 15*x + 58. Suppose 5*u - 25 = 4*i + 43, 2*i + 5*u = -64. List the prime factors of g(i).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*u + 3*u = 0, 4*q = 4*u + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 500845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d**2 + 34*d - 33. Let u(a) = -262*a**2 + 680*a - 654. Let l(x) = 6*u(x) - 118*w(x). Factor l(r).\nAnswer: -2*(r - 1)*(19*r - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Suppose -m*w + 0*w + 12 = 0. Suppose s - 2*p + w*p = 99, 0 = -p + 4. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 1284 + 1856. Suppose 3*w - 101 = -l + 62, 0 = -5*l - 5*w + v. Suppose 3*q - l = q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-6 - (-11 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + -62. Let d = -81 - g. Factor 89*j**2 - 12*j**4 - 178*j**d - 12*j**3 - 4*j**5 + 85*j**2.\nAnswer: -4*j**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-84)*1\/1*(-26)\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53a + 2?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92964 by 23241.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2764?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9569 and 16404.\nAnswer: 114828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = v, -3*v = 3*k. Suppose k*j + 224 = 6*j. Does 28 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9802, -78392, -264582, -627172, -1224962, -2116752, -3361342, -5017532?\nAnswer: -7144122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 2:19 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1632 + -1488. What is the least common multiple of w and 56?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -59. Suppose 7*p = -4*p + 704. What is the remainder when p is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9 = -3*d, r + 9 = 3*d - 0*r. Solve -d*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 778735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(117))**2*-1*-5.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t - 105. Let f be i(21). Solve -5*b + f = -10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 - 6568032*i + 2696190272064 = 0. Calculate i.\nAnswer: 821004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 12444*g**2 + 9672096*g - 9684544.\nAnswer: 4*(g - 1)*(g + 1556)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 30963 = m, 2*m = -4*w + 3509 + 21265. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*c + 2*l + 6, -3*c = -3*l - 6. Suppose -3*p - 2*p + 105 = c. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 132755190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.057718, -2\/9, -3\/7 in increasing order.\nAnswer: -3\/7, -2\/9, 0.057718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8898 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 2*v - 174. Calculate u(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 12. Let l be n(14). Let w(d) = l*d + d + 15 - 18 - d. Let i(f) = -11. Let o(b) = 5. Let h(y) = 4*i(y) + 9*o(y). Calculate -3*h(u) - w(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501694*l + 1501457*l = -21567 for l.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20023 - -1344110?\nAnswer: 1324032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-16\/7))**(1\/23) assuming z is positive.\nAnswer: z**(-16\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/69*2\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 - -86) + (-10 - -7) - (6 + 0) - 48?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 343 - 253 = 0. Calculate the highest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 2}. Give prob of picking 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (510\/(-408))\/(((42\/4)\/7)\/258). Are -196 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1334*n + 88*n - 11214 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(sqrt(171) + -1))**2.\nAnswer: -54*sqrt(19) + 1547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1279323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9446968049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 26 + 14. Let g be o\/44 + 864\/(-33). Let b = g - -41. What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.3, 6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**3 + 3*z**2 - 2*z. Give o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4140*i + 1271*i**2 + 4140*i.\nAnswer: 1271*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*t + 19070 - 19076, 5*t - 9 = -2*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/4)\/((-27)\/36). Let y be 7 + 4\/((-8)\/m). What is the first derivative of 6*n**2 - y*n**2 + 3*n**2 + 5 wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 11*x**6\/40 + 7*x**3\/6 + 21*x**2. Find the first derivative of i(z) wrt z.\nAnswer: 99*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 59*v - 161*v + 106*v + 89*v. Let o(f) = 4*f**2. What is l(o(y))?\nAnswer: 372*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1962 and 2507?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*x - 2*x + 0*x)*(-x**3 + x - x + (-2*x**2 - 2*x + 2*x)*(-3*x + 0*x + 4*x) + x**3 - 2 + 2) + 2*x**4 + 0*x**4 - x**4)*(x - 3*x + 0*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(21\/5)*(-396 - -6). Is i <= -1948\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*m - 17*m + 70*m - 11440. What is the greatest common divisor of m and 2178?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c6 - -7c1?\nAnswer: 5ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1986, -0.05, -0.1, -62, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171310022 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-33 - (-33 + -18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/66 and -25\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -5 (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5158.62 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**3 - 3*g**3 - 2*g**3 + (2*g**3 - 2*g**3 - 2*g**3)*(62 - 22 - 21) in the form n*g**3 + u*g**2 + p*g + m and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286026 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2734, -4, 1\/13 in decreasing order.\nAnswer: 2734, 1, 1\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/3 + 50654*y\/3 + 33768 = 0.\nAnswer: -50652, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 12) to base 8\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1172409545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 2400201?\nAnswer: -2400140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqmmffftmfh. What is prob of sequence qtf?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z + 5. Let p(x) = -x. Let s(k) = -b(k) - 2*p(k). Let f(h) = -h + 1. Let q be f(5). Is s(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 45. Solve 0 = -z + s - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -127. Solve s*b = 2*m - 18, -2*b + 2*m + 7 = 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -36, -2, -1, 0.\nAnswer: -36, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2158 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d - 2. Let f(i) = 9*i**3 - 2*i**2 - 8*i - 3. Determine f(s) - t(s).\nAnswer: 9*s**3 - s**2 - 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 503*y**2 - 20*y + 11. What is the tens digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-1)\/(-1))\/5. Let l = 4.5036 + 0.1964. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - c**2 - c - 1. Let q(k) = 5*k**3 + 2*k**2 + 4*k + 2. What is q(t) + 2*y(t)?\nAnswer: 3*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3875*h - 537 + 537 - 1667*h - 1082*h as z + i*h and give i.\nAnswer: -6624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8497?\nAnswer: 29, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 11. Suppose -2*y + 10 = 3*c, -c + k = -1. Solve -5*v + y*v = 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/5355)\/((-6)\/(-21)))\/((-2)\/(-3))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 9*l**2 - 10*l + 16. Let k be z(8). Suppose k = g - 5 - 0. Let y = 0 + 2. Which is the nearest to -1? (a) 2\/5 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 37, 0.39, -18, 4?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022161 rounded to the nearest 1000?\nAnswer: 1022000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + -201. Let v = y - -154.807. What is v rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*x - 7 = -n + 469*x, -x - 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144335.4 - -326118.\nAnswer: 181782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 10 = -3*y, 4*y + 22 = -4*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Suppose 5*s - 2*u - 133 = 0, z*u = s + 2*u - 23. Calculate the remainder when s is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.7*-7.6.\nAnswer: -58.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)\/sqrt(343) - sqrt(2)) + sqrt(8)\/(sqrt(16) - sqrt(4)))*-4 + 3 + sqrt(32)*-1 + sqrt(2) + sqrt(16)\/(sqrt(16)\/sqrt(2)))**2.\nAnswer: -108*sqrt(2)\/7 + 1089\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1752683 millennia in months?\nAnswer: 2103.2196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 - d**2 + 5*d + 4. Calculate h(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 7*g**2 - 6*g + 2. Let k be s(6). Suppose -4 = -k*r + 2. Find the second derivative of -f**3 + 4*f**r - 5*f**3 - f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 252\/288 + (-1)\/(-8). Let k be w\/61*(40 - 43). Which is the second biggest value? (a) -3\/4 (b) -1 (c) -1\/4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11921 or 11920?\nAnswer: 11921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*d + 119, -310 = -2*d - 3*d + 5*l. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 3:26 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 2, v: 1, y: 1, i: 1, j: 1}. Give prob of picking 1 i, 1 a, 1 y, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110663613*k + 55331664*k + 55331942*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = -730 + 961 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-89*f + 45*f + 96*f + 3)*(2*f - 3*f + 4 + 0) as y*f**2 + x + b*f and give y.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 1.5. Let w = 1.7 + z. Let m = -0.03 + -0.97. What is the closest to m in w, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1624*m*q**2 + 2*m - q - 26 wrt q?\nAnswer: 3248*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -a2?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -418, -1694, -3820, -6796, -10622, -15298?\n\"Answer: -425*v**2 - v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2583 and 9102.\nAnswer: 191142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/16*16\/1400*5.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2665*l**3*w**2 - l*w**3 - 730*w**3 wrt l?\nAnswer: 7995*l**2*w**2 - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 629, 2517, 6441, 13139, 23349, 37809?\n\"Answer: 123*h**3 - 89*h**2 - 4*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w\/(w\/((w*w**(1\/11))\/w))*w)\/w))\/(w*w**(-2\/11)) assuming w is positive.\nAnswer: w**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 37365*f**2 - 37367*f**2 - 7*f**3 - 3 + 32*f as g*f**2 + w + q*f**3 + c*f and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8*c**3 - 2*c**2 + c + 1. Calculate w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**3 + 2*t**2 + 4*t + 5. Let l(u) = 9*u**3 + 2*u**2 + 3*u + 4. Calculate 6*l(f) - 5*x(f).\nAnswer: 9*f**3 + 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -0.5 (c) -2\/131 (d) -9\/2 (e) -56 (f) -1\/7 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + x - 4*x = -12, 3*r + 2*x - 8 = 0. Suppose 2*a - 6*a = 2*h - 8, 5*h = -4*a + 38. Let o = 10 - h. Solve 2*j - 6 = o, -5*i - 7 = -r*j + j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (14 + -15) - (0 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 351, 692, 1033, 1374, 1715, 2056?\n\"Answer: 341*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g + 2*g - g + 3*g to the form i*g + n and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 14*z - 14. Let f be j(3). Let i be 975\/(-12) - 2\/(-8). Let d = -39 - i. What is the greatest common factor of f and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 357 + -355. What is the nearest to -9 in y, 5, -3, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**7\/105 + 2*k**6\/3 + 66*k**5\/5 - 40*k**4\/3 - 1600*k**3\/3 + 1940*k**2. Let r(j) = 0. Calculate j.\nAnswer: -20, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-22)\/((7 + -2)\/(-730))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -21. Let w be (-1)\/(-3) - (-20)\/i. Let n(l) = 25*l**2. What is the remainder when n(w) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.274 and 2462.\nAnswer: 674.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m = 6. Let o be 0\/m*1\/1. Suppose -78*i - 66 = -37*d - 77*i, -4*i + 34 = d. Solve -4*z + o*z = 5*u - 19, 4 = 2*u - d*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*w*y**3 + 2*w*y**2 + w*y - 6496*w + 20622*y**3 + 2*y wrt y.\nAnswer: 102*w + 123732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpdkpj. Give prob of picking 1 d, 1 k, 1 p, and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g - 135. Let k(j) = -3*j + 54. Let v(s) = -6*d(s) - 15*k(s). Let a(l) = -23*l - 2. Determine v(a(c)).\nAnswer: -69*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/(o*o\/(o\/(o\/((o**(-21)\/o)\/o)))))\/(o**(2\/17)\/(o**(-26)\/o*o)))**(1\/40) assuming o is positive.\nAnswer: o**(-477\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -87. Let v be 15\/(-25)*2\/(-6). Let n = -1.97 - 0.03. What is the smallest value in n, v, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -646\/5. Put i, -0.1, -3 in increasing order.\nAnswer: -3, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 divided by 227?\nAnswer: 797\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -281 - 172?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 2*b - 50. What is the remainder when l(7) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j**2 + 3*j + 5*j + 3*j + 4*j**2. Let w(y) = 6*y**2 + 4*y. Let r(o) = -4*l(o) + 11*w(o). Let f(b) = 14*b. What is f(r(d))?\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/22 and (-4)\/(-64)*-2*(-172)\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11056 divided by 3?\nAnswer: -11056\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -4 - (3 - -1)) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12320 and 3520?\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/254112 and 143\/48?\nAnswer: 254112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(2*(1 + sqrt(396)) - (2*sqrt(396) + 3)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 861043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqubhjq. What is prob of sequence buqj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201 + -3?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -1\/12*d**4 + 5*d + 0*d**3 + 0 - 3\/2*d**2. What is k(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j = 36*j - 7344. Suppose j = 13*m - 597. Is 93 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3344 + -26?\nAnswer: 3318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/7 - 124*t**4\/7 - 18*t**3.\nAnswer: 2*t**3*(t - 63)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97659100 by -19531820.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63001636145449*i**3\/6 - 63001604396021*i**2\/6 + 15874712*i\/3 - 2\/3.\nAnswer: -(i + 1)*(7937357*i - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 38*o - 4*y + 261311 = 0, -2*o - y = -174199. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.289, 153, -1.7 in increasing order.\nAnswer: -1.7, -0.289, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34566 + 829585\/24. What is the common denominator of k and (-175)\/4*6\/170?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 959 = -8*o. Let b = 80 - o. Let i = b + 99. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2)\/i**20 assuming i is positive.\nAnswer: i**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22054 - -22059. Let c(j) = j + 1. Let u be c(3). Let m = -2 + u. Solve m*d = -d + 4*t + 5, -v*d = 5*t + 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -671086.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 - 7*n**3 + 21*n**2\/2 - 18*n - 221. Give b(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/9 + 134*i**4\/3 - 8942*i**3\/9 - 137274*i**2 - 3817136*i\/9 + 29797768\/3 = 0 for i.\nAnswer: -39, -11, 7, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -721, -722, -723, -724?\n\"Answer: -v - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -541, 1, -5, -60 in ascending order.\nAnswer: -541, -60, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131105.\nAnswer: 5, 89, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10527, 10526, 10525, 10524?\nAnswer: 10523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11)\/t**(-2)*((t\/((t*t\/(t\/(t**8\/t*t))*t)\/t))\/t)\/(t*t*t*t\/t**8))\/(t**(-1\/7)\/t**(-1\/5))**42 assuming t is positive.\nAnswer: t**(-287\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*q + 8, -2*v + q - 4*q = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82)\/205)\/((-1)\/25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473.97559 rounded to one dp?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04962 - -0.0412. Round x to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) - 58\/104. Let c = -1\/39 + v. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8631.086 litres in millilitres?\nAnswer: 8631086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5165 - -5166. Let g = -3.9 - 1.1. Sort b, -1\/2, g, -0.4 in descending order.\nAnswer: b, -0.4, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(1\/8))**(-15\/2) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**3 - 139*s**2 + 5*s + 4. Let x(q) = -q**3 - 27*q**2 - 1. Calculate v(k) + 4*x(k).\nAnswer: 2*k**3 - 247*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11326347 (base 9) to base 12\nAnswer: 1a18337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 843 - -42c27?\nAnswer: 4376a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 3)*(-60 + 1). Let b = 203 + d. Suppose b = 6*f - 4*f. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 736 - 364 + 17*o - 373 + 14*o. Suppose 2*p + 18 = -5*q, 2*q + 0*q = -5*p - 3. List the prime factors of k(p).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 20*n + 231 = -3*b, 2*b - 3*n - 111 + 23 = 3*b for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 868 - 867.8. Which is bigger: 274\/21 or p?\nAnswer: 274\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -17*y**3\/4 + 305*y**2\/2 - 934*y - 112 = 0.\nAnswer: -2\/17, 8, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5013, -5005, -4995, -4983?\nAnswer: -4969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*q**3 - 6*q + 69*q**3 - 1 + 65*q**3 to the form u*q + y*q**2 + m + n*q**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2094*d - 344. Let y be c(-19). Let a = y - -3210321\/80. Find the common denominator of -73\/10 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0698 - -109.9302. Let b = 110.000000179 - a. What is b rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5062889 and 213571?\nAnswer: 86069113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 24 + (-11 - (-7 + 13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4\/3 + 1432*c**3\/3 - 1420*c**2 = 0.\nAnswer: 0, 3, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23032 times -2755?\nAnswer: -63453160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 5:52 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142117728, 142117727, 142117726, 142117725, 142117724, 142117723?\nAnswer: 142117722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -4*n - 114. What is the closest to 1 in n, -2, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170628 divided by -56876\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 31.5\nAnswer: -3.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s + 2*s**4 + 27 + s**2 + 18*s - 22 to w*s**2 + l + m*s**4 + d*s**3 + t*s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 18037*n\/4 - 27051\/2.\nAnswer: -(n - 18034)*(n - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**3 - 4062*s**2 + 89949*s - 29532.\nAnswer: 3*(s - 428)*(s - 23)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-45)\/12*1) + (-3959)\/148?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4095*o*r**2 - 77*o - 979*r**2 + 7*r - 8 wrt o.\nAnswer: -4095*r**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*d - 10*d = 0. Let v(z) = -6*z**3 - 2*z**2 + 1. Suppose -g + 0*g - 1 = 2*k, 5*k = 0. Let t be v(g). Solve 0 = t*r - d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 526*-1\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739 = 85*c + 281 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*d + 114205 = 105519 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216067 and 20784?\nAnswer: 10371216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 26381*n + 7017347. What is o(-266)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 177 = -81*i. Which is smaller: i or 12\/187?\nAnswer: 12\/187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v + 54. Let o be (1*9)\/((-45)\/30). Let z be x(o). Suppose -t + 1 = z, -5*n - 7*t + 433 = -4*t. What is the greatest common divisor of n and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -309687, -309689, -309691?\n\"Answer: -2*h - 309685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 190540000 to the nearest 1000000.\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 101?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2*sqrt(117) + 4 - (-1*sqrt(117) - sqrt(117) - sqrt(117))*1)**2 + (-3 + sqrt(117) + -4)**2 + 1.\nAnswer: 6*sqrt(13) + 651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2322.241 and 410248.\nAnswer: 407925.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40494689 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(343) - sqrt(343))\/sqrt(7) + (-3*sqrt(1225) - sqrt(1225)))\/(sqrt(875)\/sqrt(5) + -1*sqrt(252)).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i\/(i*i**(-20)*i))*(i\/(i*i**(1\/4)*i))\/i*i assuming i is positive.\nAnswer: i**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2602*d = 41342 - 12720 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.8 + 9. Let k = -0.5 - r. What is the nearest to -0.3 in k, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -136 - -29) + 4?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/39)\/(7\/((-21)\/(-6)))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-11\/4)*(x*x**1)**(-3\/17))\/((x**(-1\/4))**39*x**1\/x*x*x**(4\/9)) assuming x is positive.\nAnswer: x**(796\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38 + 0)*(6\/1 + -5). Let i = -38 - a. Suppose -4*r + 2*r + 6 = i. Solve 0 = -4*q + 3*w - 19, -q + 2*q = r*w - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - -18 - (-4 + -2 + 9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022475919 rounded to 5 dps?\nAnswer: 0.00225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 24. Let t = b + 15. Is 5\/3 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35125 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -629425 and 7.\nAnswer: -629418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + d - 532, -5*i + 2*d = 5*d - 888. Let q = -515\/3 + i. Calculate the common denominator of q and ((-122)\/10)\/((-56)\/490*7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11980057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -41148*h + 2839208. What is j(69)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*n*v**4 - 6*f*v**3 - 10*f*v + 3*f + 34*n*v**3 + 2*n*v**2 + 2*v**2 wrt v?\nAnswer: 24*f*n*v - 36*f + 204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmtm when four letters picked without replacement from hhtthddhdmtmmdhhhm?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 139*o**2 - 137*o**2 - 2*o + 1 - 16 + 2*o**3 in the form q + a*o**2 + s*o**3 + t*o and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 = -a + 1278. Suppose r - a - 2055 = 0. Let n = -27207\/7 + r. Calculate the common denominator of -65\/6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55365769 bigger than -55365770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o + 2, 15 = 2*r + 5*o. Suppose -4*l = c + 1, r*l = -4 - 1. Solve -c*s = -6*s - 6, -2*q - 2 = 4*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-14)\/(-8) + (-20)\/(-16). Sort -5\/3, 7, w in decreasing order.\nAnswer: 7, w, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**2 + 8*u + 10. Let l be p(-7). Suppose -32 = -7*j + 5*j - 3*g, l*j = 5*g + 86. Calculate the remainder when j is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 27246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(171)*-5 - (sqrt(171) - (sqrt(171)*-4)**2*4).\nAnswer: -48*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/931)\/((-3)\/(-21)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4172240*a**3 + 2202091*a**2.\nAnswer: -25033440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*h - 9723 + 4111 = 161*h for h.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1402533 and 3.\nAnswer: 1402536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2101494, -4202979, -6304464, -8405949, -10507434?\nAnswer: -12608919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -baf - 19e?\nAnswer: -d4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 27*o**3 - 12*o**2 - 4*o - 55. Let h be b(-8). What is h rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05006 * 0.1315.\nAnswer: 0.00658289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2240 divide 843713920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321 divided by -658?\nAnswer: 4321\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 50*f**2 - 118*f**2.\nAnswer: -167*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22599 - -22599.3. Which is the nearest to -3\/5? (a) -0.2 (b) w (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/87)\/((-3)\/27). Is -1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111201110011111 - 1001?\nAnswer: -111201110012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -590 - -593. Factor 3*o**3 - 279 - 273 + 0*o**f + 544 + 11*o**2 - 6*o.\nAnswer: (o - 1)*(o + 4)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1065)\/(-50) + 16 - 18\/60. Sort t, -2, -4, -6, 1 in ascending order.\nAnswer: -6, -4, -2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*g**3*s**2 + 74273*g**3*s + 96*g**3 - 3*g**2*s**2 - 2*g**2*s - 4415*g*s**2 - 2*g - s**2 - 4 wrt s.\nAnswer: 92*g**3 - 6*g**2 - 8830*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/15773 + -835321\/2555226. What is the common denominator of -85\/2 and j?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1016.55 and 0.09?\nAnswer: 91.4895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j**2 - j + 3. Let w be s(0). Let v = -0.5 - -0.7. Which is the closest to 0.4? (a) v (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3285*f + 1 - 2527*f + 9092*f - f - 3*f + 2*f - 2*f + 4*f - f + (2 - 3 + 0)*(0*f + f - 3*f).\nAnswer: 9851*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 1\/4 (c) 24 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:27 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -972 by 165246.\nAnswer: -162\/27541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/11 + 36*b\/11 - 80\/11 = 0. Calculate b.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*n + 54, -3*r + 26 = n - 7*r. Suppose -490 - 1334 = -32*z. What is the remainder when z is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2. Let u(m) be the second derivative of -607*m**4\/12 - 1356*m. What is x(u(c))?\nAnswer: -368449*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a**2 + 5. Let l be j(4). Suppose 0*i - 2*i - 1 = -t, -2*i = 5*t - l. Let z(q) = t - q**2 - 1. Let k(x) = x. Calculate z(k(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5453861426.\nAnswer: 2, 13, 17, 3467, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + (-35)\/(-21))\/((-1)\/5127).\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-51)\/(-2) - (-3)\/(-6). Is 31 a factor of f*(4\/(-6))\/((-42)\/(-651))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(2\/5)))**(11\/3)*(m\/(m\/(m\/m**19)*m)*m)\/m**(-21\/8))**(-28) assuming m is positive.\nAnswer: m**(11683\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5))**(-17)*w**(-2\/7)\/w*w*w**5)**(-41) assuming w is positive.\nAnswer: w**(7872\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 463*o**2 + 48*o + 47. Let y be h(-1). What is the highest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqkbach. What is prob of sequence hb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k - p = -1182, 4*p - 1483 = -5*k. List the prime factors of k.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from jyjrryjjyyj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**5\/60 + 161*b**2. Let r(k) = 977*k**2. Give d(r(q)).\nAnswer: 954529*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -19. Let c(t) = 5*t**2 - 2*t + 1. Let p(s) = -6*s**2 + s - 1. Let g(r) = r**2 - 4*r - 7. Let v be g(6). Let q(k) = v*c(k) + 4*p(k). What is q(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-1)\/(-9))*-1*(-38)\/171. Solve 4*q + 8 = 0, 234*s + 24 = 229*s - a*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000517381129 to six decimal places.\nAnswer: 0.000517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2. Let d(t) = -36*t**2. Determine d(s(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(3 - 2) + 3 + -12. Let x(q) = 13*q**2 - q. Let r be x(-1). Suppose -2 - r = -4*a. Sort w, -3, a in decreasing order.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 267 + 51 = 0. Calculate the highest common factor of 15656 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/3*(-6 + -1). Let f be 3 + y + 3 + -3. Let k(o) = -o**2 - 2*o + 3. Calculate k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 12 - 96 = 0. Suppose k = 5*h - 2*h. Suppose -a - 2 = -2*a. Solve h*f = -3*l - 35, -a*l + 20 = -6*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-123))\/((-2)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1\/(-5) - 4434\/(-15). Let g = b + -225. What is the remainder when 492 is divided by g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-10))\/(18\/60). Let o(g) = -g + 9. What is o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 - 106. Suppose -j - 16 = -s. Let u = j + 13. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 2, s: 1, n: 1, o: 11, j: 3}. Give prob of picking 1 n and 1 w.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029315357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 299068 (base 10) in base 4?\nAnswer: 1021000330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114735 and 9.\nAnswer: -1032615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -21669, 3\/7, -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-24)\/18))\/(3\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p - 2389 = -365. Let t be (6\/(-11))\/(13 + 578\/p). Solve 35 - 39 = -t*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6912 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 1. Suppose x - 4 = 1. What is v(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -947, -2682, -5919, -11156?\nAnswer: -18891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.2 + 60.2. Let h = 58194.287023 + -58244.287. Let x = n + h. What is x rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 4, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -188872831.69 to the nearest 100000.\nAnswer: -188900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41073 - 49425 = 5*r - 162717. What are the prime factors of r?\nAnswer: 3, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 15*r**2 + 4 + 7*r - 12*r**2 + r**3 + 3*r**2. Give b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:31 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4736, 35775, 118328, 277613, 538848, 927251, 1468040, 2186433?\nAnswer: 3107648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10483*a + 691870. Give f(-66).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = 2*h - 373. Sort -92, 0, -5, h in decreasing order.\nAnswer: h, 0, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (1 - 3)\/1. Suppose p + f*n = 2, 0*n - 70 = -3*p + 4*n. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8 and -47\/69842636?\nAnswer: 139685272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*l - 2*f + 92, 2*f - 271 = -5*l. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22677205 is divided by 346?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*d + n - 7, -d + 3*n + 4 = 0. Suppose -1087 - 16 = -34*h - 117. Sort h, d, -3 in decreasing order.\nAnswer: h, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 5. Let u be v(5). Suppose -5*q = -5*c - 30 + 140, 2*q + 122 = 5*c. Let l = c + -23. Solve 8*g - u*g + l = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 - 4 = 0. Suppose -p*i = -i - 8. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 14*d - 308. Let g = 141\/5 + d. Let z be 48\/21 + -1 + -1. What is the nearest to -2 in z, 2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91797269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywyrywwwhrhhwrrwry. Give prob of sequence rh.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 4) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -h + 1 + 11, h = -5*d + 4. Suppose j = h + 6. Suppose 0 = -j*y + 10*y + 15. What is the lowest common multiple of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:15 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*z**3 + 2*g*z + 6*g + 5702*z**6 + 3*z**2 - 2*z wrt z.\nAnswer: 12*g + 684240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 116. Suppose q*b - 12*b = -198. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23199613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 146483 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*u = -8313, -h - 8337 = 4*h + 3*u. Let t = -8381\/5 - h. Let n = t - -11. Is -1 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 11*b**2 + 45*b - 19. Calculate the remainder when 242 is divided by w(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/50735 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2. Let l(v) = 139*v - 44. Suppose -20*c = 30 + 90. Let g(y) = c*j(y) + l(y). What is the derivative of g(u) wrt u?\nAnswer: 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3169943 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/7 (b) 0.5 (c) -1\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11354467 + 2?\nAnswer: 11354469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 8:45 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/132 and 155\/1518.\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d - 2*l - 15, -4*d = -4*l. What is the smallest common multiple of 38 and (6\/(-9))\/(d\/60)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*u - 3*k, 3*u = 534*k - 529*k + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246878 + -34101. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - x = 1008, 2*t - 126 = -77*x + 73*x. Solve t*j + 97 = -344 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 3758 = 1885. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 297*c - 343*c + 234876. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + -2 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b32 + 10a?\nAnswer: 14c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.54 take away 2192369?\nAnswer: -2192285.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 - 3*s**2 + 0*s**2)*(0 + 6 - 4) + (-4*s + 2*s - s)*(151*s + 331*s + 110*s) to the form m*s**2 + a*s + y and give m.\nAnswer: -1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -167981615 <= -167981616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23389)\/(-4) + 130\/(-40) + 4. Suppose 3*g - 6537 = 2*d, -4*d - 5047 = -5*g + h. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -657 - -658. Sort -1, -46, h in descending order.\nAnswer: h, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -2 (b) -1 (c) 1.055 (d) 1 (e) -20 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.142 + -0.058. Which is the fourth smallest value? (a) -2 (b) 5 (c) r (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 128\/3, -2\/3, 0.44?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 244109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 253831235.\nAnswer: 2538312350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/3 + 19*t**2\/2 - 42*t + 975. Factor i(k).\nAnswer: (k - 2)*(k + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 32. Let h = k + -9. Let a(s) = s**3 + 6*s**2 + 8*s + 1. Let p be a(-3). Put p, h, -5 in decreasing order.\nAnswer: h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 4, b: 2, f: 1, i: 1}. Give prob of sequence fbt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**50*(v*v**(1\/4)*v*v)**(-2\/29))**15 assuming v is positive.\nAnswer: v**(-195\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - 9*a + 54. Give p(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1129232 and -121\/48.\nAnswer: 3387696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 + 8. Let a(k) = k**3 + k**2 - k + 1. Let c(x) = 2*a(x) - f(x). Calculate the remainder when c(-5) is divided by ((-16)\/6)\/((-3)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11846827897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 7*x**2 + 5*x + 2. Does 19 divide s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3)\/sqrt(4) + -1*(-2 + sqrt(17))**2 + (((sqrt(2448)*-1 - sqrt(2448)) + 1)*4)**2.\nAnswer: -767*sqrt(17) + 156667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 + 68 + 112 - 14*w**4 + 309*w - 181 - 5*w**5 wrt w?\nAnswer: -100*w**3 - 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20322 divided by -6?\nAnswer: 3387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -362, -715, -1062, -1403, -1738?\n\"Answer: 3*m**2 - 362*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) + sqrt(136)*2)*-6)\/(-4*sqrt(200)) - ((1*sqrt(85)*-4)\/sqrt(5) + -5))**2.\nAnswer: 97*sqrt(17)\/2 + 169953\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/((j*j**17)\/j))**(-16\/7) assuming j is positive.\nAnswer: j**(2416\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1100) - (sqrt(1100) + (sqrt(1100) - (sqrt(1100) + 1)))**2 - sqrt(1100) - sqrt(1100)) + (4 + sqrt(1100) + sqrt(1100) + -5)**2 + sqrt(1100).\nAnswer: -2205 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(-15)\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*w - z + 20, -4*w - 3*z = -27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from wwowwwowow?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(144\/(-1620))\/(2\/(-10)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3555.287 - 3557. Let y = s - -1.62. What is y rounded to three decimal places?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n = 33*n - 12. Let g(s) = -2*s**2 + 2*s + 3. Determine g(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g + 2. Let u(k) = 3*k**2 + 5*k + 5. Let s(z) = -5*c(z) + 2*u(z). Suppose -5*x = -3*o + 40, -o + 26 = -3*x + 6. Determine s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166294 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/4 + ((-2)\/(-20))\/((-22)\/165). Solve -90 = -0*f - k*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 984 - 113 + 383 = 114*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 5\/3 (c) -100 (d) 1\/3 (e) 0.4 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23421401 (base 5) to base 7.\nAnswer: -1562643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/25 or 252420?\nAnswer: 252420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29062775 is divided by 1263598.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 4) + (-1 - 34) + 35 + -22.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 110*m**3 - 2*m**2 + 2*m. Let h(g) = g**3 - 14*g**2 - 15*g + 1. Let s be h(15). Does 5 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/13 (b) -5 (c) -0.4 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - o - 2. Let b be a(-1). Which is smaller: -5\/17 or b?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/32)\/((-2)\/68). Let k = p - 127\/28. Which is the closest to k? (a) -3\/4 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261946817 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (4*sqrt(84) + sqrt(84))*2)\/((4*sqrt(12) - sqrt(12))*-1).\nAnswer: -11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)\/((-16)\/(-177584)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 92020*t**3 - 46020*t**3 - 46155*t**3 - 3*t**2)*(-2*t + 5*t - t).\nAnswer: -310*t**4 - 6*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = k + 87, -55 - 32 = -4*f - 5*k. Suppose 4*n + 2 = f. Solve -n*c = -2*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(-1)*24\/1. Let g be (u\/99)\/((-4)\/(-6)). Let j = -2 + 2. What is the closest to j in -4, -0.01, g?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43700\/2300)\/(2*1\/2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000051524 rounded to 7 dps?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g - a = -63, -2*g = -a - 117. Suppose 55*o - 1100 = g*o. List the prime factors of (-11)\/(o\/(-16))*255\/(-2).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36639 and 21607452.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -69443*y**4\/12 - 5*y**3\/3 + 4*y**2 + 5*y. Let b be d(6). What is b rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 604232 and 317344.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 39 - o**3 + 0*o + 4*o**4 - 3\/2*o**2. Find the third derivative of l(k) wrt k.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6020?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12468051 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 142, 279, 410, 535, 654?\n\"Answer: -3*z**2 + 146*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 54405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-3 - (13 + -22 + 1)) + -12?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (60\/50)\/((-7)\/(-6)*(-279)\/155)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-16) + 81\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8328168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 7*s**2 - 6*s + 5. Let a be l(-6). Suppose a*x = 3 + 2. What is the units digit of -1*x*12*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230\/26 + (-6)\/(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/50 + 417771\/675 + -3 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7713179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1065502724 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 193.15. Let p = h + 0.15. Which is the smallest value? (a) -0.5 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17797 or -17802?\nAnswer: -17797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 + 1950256*p + 4754373081920.\nAnswer: (p + 4875640)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 7*h - 15*g + 20*g, 71*h = 70*h + 5*g + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**4 + 5*j**3 + 7*j**2 - 5*j. Let a(h) = -h**3 - h**2 + h. Let m = 4 - -1. Let d(n) = m*a(n) + p(n). What is the third derivative of d(x) wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -212278, -212280, -212282, -212284, -212286?\n\"Answer: -2*m - 212276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -254*g**2. Let l(h) be the first derivative of h**2 - 167. Determine l(j(o)).\nAnswer: -508*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*u - 26 - 26*u + 49*u)*(0 - 4 + 6) to f + l*u and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**4 - 2*r**4 - 2*r**3 - 3*r**4 + (-r + 0*r - 3*r)*(-3*r**3 + r**3 + 4*r**3) - r**4 - 12 + 12.\nAnswer: -8*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 19*n**2 - 114*n + 1080. Calculate o(7).\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3809.7*-9.\nAnswer: 34287.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.122 in 2\/7, -1\/3, -1\/14, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 3*o)*(-5*o - 2*o - 3*o + (-2 - 1 + 4)*(-o + o - o)).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -429 + 4713\/11. Suppose 5*z + 6 = 2*z. Is z at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366798180.\nAnswer: 2, 3, 5, 7, 211, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = -460*u - 424*u + 917*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqpmqqqqqqqpqmqp. Give prob of sequence mpqm.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 3*o**2 - 3 + 2 - 4*o**2. Let d be (0\/(12\/(-3)))\/2. Suppose 4*q - 1 + 5 = d. Calculate g(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -37, 1304, 5 in decreasing order.\nAnswer: 1304, 5, 2\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 + 25. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*i - 16*i - 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j. Let b(w) be the first derivative of -5*w**2\/2 - 16. Calculate b(s(a)).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**2 + 0 + 37*t**2 + 0.\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = -30*c - 37 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(2))\/sqrt(2))\/(sqrt(2) + sqrt(12)\/(sqrt(96) - sqrt(6))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 3033040.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t**2. Let b(s) be the third derivative of -s**5\/12 + 8*s**2. Calculate o(b(d)).\nAnswer: 425*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -164588617 * 0.2\nAnswer: -32917723.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800*z**2 - 2*z - 737*z**2 + 1531*z**2 + 2*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2590, -13661, -32428, -58885, -93026, -134845, -184336, -241493?\nAnswer: -306310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 48. Suppose -y - v = -102. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18194, 19236, 20278, 21320, 22362?\nAnswer: 23404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -992 - -993. Suppose y = -3*y, 0 = 4*a + y + 48. Let w be -1*(a\/21 + 0). Put f, w, -11 in increasing order.\nAnswer: -11, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)*j*j**1)\/(j**2\/j**1) assuming j is positive.\nAnswer: j**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 435 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1408646 - -1408648. Let 0 - 128\/5*a - 2\/5*a**w = 0. Calculate a.\nAnswer: -64, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 145990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89043 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 158519 - -57?\nAnswer: 158574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -60*g + 842. Give l(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 5*s - 76 - 28, 23136 = -2*h + 10*s - 6*s + 23064 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6471527038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/9)*(d\/d**(-2\/15))\/d)\/((((d**(-4\/11)\/d)\/d)\/d)\/d*d**(-1\/4)*d*d))**(1\/8) assuming d is positive.\nAnswer: d**(6319\/15840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/918 and 133\/318.\nAnswer: 48654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 - n**3 - 3*n**2\/2 + 4*n + 1. Let r(t) = -t**3 - 11*t**2 + 4. Let d be r(-11). What is the units digit of b(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 + 5.2. Let q = 2.95 + 0.05. Let o = -48 + 46. Which is the nearest to o? (a) q (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*a + 666139, -22 + 7 = 3*o. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1183.6 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674311 = 35*m + 7736. What are the prime factors of m?\nAnswer: 5, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - w - 28, 3*a - 14 = 2*w - 0. Let x(o) = -o**3 + 5*o**2 + 7*o - 9. What is x(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21400*k + 21400*k - 5*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394 divided by 10466.\nAnswer: -197\/5233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fntoi. Give prob of sequence fni.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:28 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/6)\/(s\/s**(-6)*s*s) assuming s is positive.\nAnswer: s**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 5060 + 2528 + 4*r + 2532. Let t(b) = b**2 + 3*b. Suppose -n + 15 = 2*n. Suppose 5*h + n*m = -35, -5*m - 18 = 2. Give h*t(p) + 2*j(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = p + 2*o + 97, 0 = 4*o + 12. Let w be ((-7)\/p)\/((-3)\/(-6)). Which is the third biggest value? (a) -1\/5 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {q: 1, t: 2, y: 2, e: 6, s: 5, w: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2768 - 2348. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*w - 4, -1 + 2 = -5*w - z. Solve w = 3*u + 3 - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1371 * -5.7.\nAnswer: 7814.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1120, 2314, 3508, 4702?\nAnswer: 5896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428400 is divided by 559.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 - w + 9. Let v(q) = -3*q**2 + q - 4. Let s(m) = 2*r(m) + 5*v(m). Let a be s(2). Solve g + 5*o + 25 = a, -o - 24 = 4*g - 0*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -408*d + 9374, 2*d - j - 248 = -200 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979888 is divided by 949?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2152*k - 76*k + 96573 = 5225 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-6 + -1 + 3). Which is the closest to -1? (a) -5 (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 r, and 1 p when four letters picked without replacement from {r: 1, g: 2, q: 1, p: 2, v: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021000 (base 3) to base 5.\nAnswer: -12133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6304963 divided by -1?\nAnswer: -6304963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 - 419*t + 419*t.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173552554.\nAnswer: 2, 7, 12396611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(6*l - l - 3*l) + 16*l + 8*l + 55*l to y*l + q and give y.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*v + 20 = 0, -12 = -4*n + 3*v - v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 15*h**2 + 7*h + 14. Give p(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 0 = d - w*d + 20. Let r = -44 - -63. What is the remainder when r is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2271, -9175, -20685, -36795, -57499?\n\"Answer: t**3 - 2309*t**2 + 16*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000081101379 rounded to seven decimal places?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 - 78. Suppose 2*i = n*b + 274, -4*b + 167 = 2*i - i. Is 42 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 13 + 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnh when three letters picked without replacement from {n: 2, h: 6, q: 3, s: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v = -c + 44*v + 72, 3*v = c + 72 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/1907 + -5717\/3814. Put k, 2\/7, 2\/5 in decreasing order.\nAnswer: 2\/5, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 8*z**2 + 6*z.\nAnswer: 2*z*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691298276 is divided by 6852?\nAnswer: 6848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Suppose 0*t - 7 = -t. Let w(k) be the second derivative of k**3\/2 + 3*k**2\/2 + 9*k. Calculate t*c(z) - 3*w(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1233 (base 6) to base 16\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 79*656\nAnswer: 51824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 - 5. Let r be w(4). Let y be 5*(0 + r) - -2. Let u = y + 35. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**4 + 15*d**3 + 65*d**2 + 5*d. Let s(i) = 7*i**4 - 23*i**3 - 98*i**2 - 8*i. Let w(j) = 8*k(j) + 5*s(j). Suppose w(l) = 0. What is l?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 1. Let h(s) = -1. Let g(i) = -d(i) - h(i). Let m be g(-2). Suppose -2*x + 33 = b, 0 = -x + m*b - 6 - 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1206 (base 8) to base 4\nAnswer: -22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53953*q - 405735 = -53968*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12867 - -12957. Let g = 95 + -185. Let x = k + g. Solve x = -2*s - 4*d, -d + 8 = -5*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.6, -10473, 11, 5, 4?\nAnswer: -10473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.059 and 0.05?\nAnswer: 2.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 37007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1904 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -18. Suppose -50 + 2 = -c*j. Let v(a) = a**2 - 7*a - 4. What is v(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 divided by 4?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102423 (base 7) to base 5.\nAnswer: 1031311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4. Let g(u) = u. Let w be g(3). Let d(z) = -w*z**3 + 0*z**3 + 4*z**3 + 3 - 2 - 2*z**2. Calculate d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k. Determine x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7 + p - 2*p - 2*p. Let g(y) = 6*y - 15. Determine -6*g(o) - 13*v(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5)*p)\/p**6)**1\/(p**4\/(p*p\/(p\/p**7))*(p**0)**(-10)) assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90464914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -72. Calculate the remainder when v is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - ((-29 - (-29 - -19)) + 3)) + -6 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1772183 and -30127089\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189007, 378138, 567397, 756790, 946323, 1136002?\n\"Answer: p**3 + 58*p**2 + 188950*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*39\/26. Let y = 3 - 2. Sort z, y, 5 in ascending order.\nAnswer: z, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-40 + -1))\/((-133 - -362)\/229)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i - 45 = -5*a + 63*i, 0 = a + 3*i - 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.16 + 0.16. Let n = -4 + 6. Let d be 3 + (2 - 9) - 1. Which is the nearest to n? (a) d (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.734 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3845 * 0.007\nAnswer: -26.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, m: 4, u: 8, a: 2, i: 2, g: 3}. Give prob of sequence cimg.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 5 + j - 115*j**2 + j**3 + 116*j**2. What is k(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 24167040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 36\/(-45))\/(18\/60).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12525*250\nAnswer: 3131250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 5436?\nAnswer: -543a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 95. What is the nearest to -1 in b, -0.2, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117037541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01017758 to four dps.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 969.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 14*m + 3. Let g be a(0). Solve 0 = -3*s + 5*s - x + 7, 2*s = -g*x + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 1271 = 3*r - 1261, -3*r = 5*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -7*r**5\/5 + 4*r**3\/3 + 95*r**2\/2 + 141. What is the second derivative of l(i) wrt i?\nAnswer: -84*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -201, 0.1, 0.3, -0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -90*m + 77*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 = -5*h - 532 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -13*a + 23 + 56 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 20413?\nAnswer: 2040b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.848 and 0.43.\nAnswer: 4.66464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 25*x**2 - 2*x - 6. Let n be h(-25). Solve -n = 4*b - 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424 is divided by 232?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 116. Let n be 2 - -2 - v\/18. Suppose -3*u + 2*f + 18 = -f, -f = 5. Which is the closest to 0? (a) n (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/72 and 11 + (-831)\/36 + 4\/(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let x(m) = -5*m. Let l = 62 - 96. Let q(h) = h. Let o(r) = l*q(r) - 6*x(r). What is o(p(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i. Suppose -w + i*w = 0. Suppose 4*o - 3*r - 2 = 3, 5*o - 4*r - 6 = w. What is the greatest common factor of 22 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + s. Let q(n) be the first derivative of n**3\/3 + 2. Let v(g) = -2*m(g) - q(g). Find the second derivative of v(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6307)\/(-153) - (-8)\/(-36).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 3. Let s = 258 - 214. Calculate the remainder when s is divided by k(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2054610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 - 7 - 2*y - y + 4*y. Let c be (-2)\/(-8) - 95\/(-20). Suppose -g = -5*m + 4*g - c, 0 = -2*m + g - 1. What is k(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 5*m - 2*m + 6*m - 114.\nAnswer: -m - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -37*p**2 + 3530*p - 1428. Calculate d(95).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 572a + -1506?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11813 + 1795 = -6804*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 5:58 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.36 + 0.33. Let g = v - -1.03. Let w = 2.9 - -0.1. Is w at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**3 + 0*u**4 + 4*u + 0*u**5 - 3\/2*u**2 + 0 + 1\/5*u**6. Find the first derivative of o(m) wrt m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/10 + (-1 - -4). Suppose -l*f - 4 = -36. What is the least common multiple of f and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 788930 - 1?\nAnswer: 78892a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -2056.\nAnswer: 32896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 1 = -6*z + m, 0 = -2*z + 5*m - 29 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 774\/(-1428) - (20 - (-144)\/(-7)). Let d = -0.4 - 0. Let n = d - -0.3. Which is the nearest to 0? (a) 2\/11 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 - 660*m**2 - 5241*m\/2 - 1962.\nAnswer: -3*(m + 1)*(m + 3)*(m + 436)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 407*m - 477*m - 31*m - 846*m - 466*m in the form u*m + q and give u.\nAnswer: -1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (108\/(-14))\/((-9)\/63). Let c be l\/2 - (-7 + 6). Solve 0 = 5*s + 2*h - 7 - c, 4*h = -4*s + 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/(2\/(-44)). Suppose 4*o - t - 5 = 0. What is the smallest common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83772\/373 - 19920906\/9325. Let q = -2362 - v. Let p = q + 931\/50. Find the common denominator of 57\/8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13768449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - p**2. Let r be 2\/(1\/13*-2). Let x = r - -8. Let b(v) be the second derivative of -v**5\/5 - 5*v**4\/12 + 44*v. Determine x*o(u) + b(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39*-8*(-27)\/1404?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuusbqusquuqqsqbb. What is prob of picking 1 u and 1 q?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 7*n - 4. Let i be g(9). Solve i - 4 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -19. Let t(o) = 12*o + 15. Let s(g) = -g - 1. What is c*s(i) + t(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvnvvnvv. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8121.1 and -4?\nAnswer: -32484.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -1258*d**5\/5 - d**3\/3 + 343*d**2 - 261. Find the third derivative of i(f) wrt f.\nAnswer: -30192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 10:10 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -l + 211 + 182, 2*l - 4*x - 794 = 0. Let m be l\/(-75) - (365\/(-75) + 5). Is -4 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1276 + 411 - 686)*(0*l**2 + 11*l**2 - 5*l**2) to the form h*l + w + m*l**2 and give m.\nAnswer: -9306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -7*w**4\/24 - w**2\/2 - w. Let y(l) be the first derivative of z(l). What is the units digit of y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.8. Let f = -1.71 + 0.11. Let c = 1.5 + f. What is the nearest to c in -2, 3\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 - 240*j**3 + 1255*j**2 + 240*j - 1260 = 0.\nAnswer: -1, 1, 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4\/5 (b) 1\/204 (c) -1\/6 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26385183.\nAnswer: 3, 11, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -676796, -2706787, -6090106, -10826753, -16916728?\nAnswer: -24360031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9576000 rounded to the nearest one hundred thousand?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -70. Let u = -5 - -14. Suppose -6*x + u = -3*x. What is the nearest to -0.2 in x, d, -4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12203020200 (base 4) to base 3\nAnswer: 10020012222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 50*u**2 - 4*u - 173. What are the prime factors of q(52)?\nAnswer: 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 4. Let d be (-1 - (-2 - -32))*-1. Let c = d - x. Calculate the least common multiple of 6 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 5*s**2 + 25*s**2 - 2 as y + b*s + n*s**2 and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/18849 and -41\/4443.\nAnswer: 27915369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2332 is divided by 1129.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 7. Let c(a) = -a. Let r(n) = -6*n - 5. Let f(v) = 2*c(v) + r(v). Let x(j) = 7*j + 4. Determine g*x(z) - 5*f(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -114732 (base 8) to base 13\nAnswer: -14c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from pcfhcbpchpphxff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 70889.1 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -976*m - 16. Let r(z) = -20*z + 4. Calculate -j(k) + 48*r(k).\nAnswer: 16*k + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 + 4*u - 40. Calculate j(-7).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -270*j + 1633. Determine r(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -400235 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5759*1093.\nAnswer: -6294587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98294218 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 + m**3)*(16*m - 16*m + 10*m**2).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749670?\nAnswer: 2, 3, 5, 24989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 313, 629, 945, 1261?\n\"Answer: 316*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1847713 and -139\/204.\nAnswer: 22172556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*h**4 - 25993*h**3 + 27823472 with respect to h.\nAnswer: -976*h**3 - 77979*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 40*d. Let h(q) = -5*q. Determine -40*h(a) + 5*u(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (100 - (97 + 67))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168078297 is divided by 194?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 5*f + 2. Let d be o(-5). Suppose -m - d*u + 12 = 0, 2*m = 3*m + 4*u - 20. Is m*(-24)\/(1 - 4) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 7*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72164597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 116451 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {i: 1, p: 2, o: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1980*c**2 + 4546 wrt c.\nAnswer: -3960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbbnbbnbbbxxbbbb. What is prob of picking 1 b and 2 n?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m)*(-119 + 1182*m + 1457*m + 119).\nAnswer: 2639*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 88*m**2 + 3*m + 2. Calculate n(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 48. Suppose n - 42 = -5*j, 3*n + 21 = f*j + 237. Suppose 0 = o - 58 - n. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by 6?\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*i + 7*i**2 - 3*i**2 + 3719*i + 3.\nAnswer: 4*i**2 + 3230*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2092.79053 - -2092.7. Round p to 3 dps.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4024 (base 8) to base 3.\nAnswer: 2211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 911.1021 decades?\nAnswer: 91.11021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*m**2*n + 66*m**2 - m*n**2 - n**2 - 2 wrt n?\nAnswer: -39*m**2 - 2*m*n - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 294 = -894. Suppose 0 = 5*s - 55 - w. Let z = 2 - -5. What is the greatest common divisor of z and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:43 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 4\/(-2))\/((-30)\/(-45)). Let h be -1*z\/(-15)*-4. What is the second biggest value in -0.2, h, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18397, 3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 + 798 = 9*w. Solve 2*o = 16 - w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w = 721 - 597 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 3*p + 3. Let k be l(3). Let q = k + -23. What is the tens digit of 4 + (2 - q) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2 + 4390*k - 13188 = 0.\nAnswer: -2198, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (1\/3)\/(154\/2226)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-6 - -2 - -2)) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91, 344, 1029, 2362, 4559, 7836, 12409, 18494?\n\"Answer: 36*b**3 + b + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26727707, 53455415, 80183123?\nAnswer: 106910831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10)\/(-7 - 2670\/(-375))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/12, -460, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72298059?\nAnswer: 3, 17, 19, 74611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-12))\/((-35)\/(-42))*12\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*w - 5*w - 54, 131 = -4*w - o. Let m = w + -1. Let z = -18 - m. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -232 + 2 + 214 - 2882*m**4 - 588 wrt m?\nAnswer: -11528*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524775607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75539*-2.\nAnswer: -151078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-2376)*44)\/((-2)\/(-172))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:43 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + j)*(4 - 2 + 0)*(j + j - 3*j) to the form m + l*j + f*j**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29263*x + 152 = 29244*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6022*q**2 + 12048*q + 8.\nAnswer: 2*(q + 2)*(3011*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 116 = -3*h + 3*v, 2*h + 3*v = 214. Let j = h - 64. What is the greatest common factor of 92 and j?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172952 is divided by 368.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from knlulnjljnlujlnnun.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - u + 1. Let a(j) = j**2 + 1. Let y(v) = 5*a(v) - o(v). Let h = -20 + 20. Calculate y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27254 + -500?\nAnswer: 26c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3388*f**2 - 1200*f**2 + 2556*f**2.\nAnswer: 4744*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11560*t - 11564*t = -2*l + 46, 2*t = -3*l - 43 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(242) - sqrt(242)) - sqrt(242) - (sqrt(242) - -4*(sqrt(242) + -1))**2) + (4*(-1 + sqrt(242)) - (sqrt(242)*1*1 + sqrt(242) - sqrt(242))).\nAnswer: -6075 + 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/21)\/q**(-1\/23))**(-15\/8)\/(q**1\/((q\/(q**(-1)*q))\/q*q)*(q\/q**(7\/3))\/q**0) assuming q is positive.\nAnswer: q**(5527\/3864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 - -4. Let p be (7 + 120\/(-18))*(-1 + 1). Suppose 11 = -3*n + 2*n - t, -n + 3*t - 11 = p. Is n less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11924111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(6)\/sqrt(2)*2 + sqrt(3))**2)*-3 - (4*sqrt(48)*2 + -4).\nAnswer: -62 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + p + 2 = 0, 4*j = 429*p - 433*p + 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffc. Give prob of picking 1 c and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, g: 1, m: 1, y: 2, f: 1, c: 5}. Give prob of picking 1 c, 1 g, and 1 m.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 273236723317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 10}. Give prob of sequence waaw.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3237.3 + -3237.47279. Let d = -71.84879 - q. Let p = 72 + d. What is p rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 4*y**2 - 4*y. Let s be r(-4). Let g = 20 - s. Suppose g*h + p - 13 = 1, -2*p + 10 = 2*h. Solve 0 = h*n - 6*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -20. Suppose f = 3*l + l. Suppose 0 = l*d - d - 6. Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -460 - -682. List the prime factors of t\/(-9)*(-8 + 5).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5 = 5*r. Find the common denominator of -1*(-9)\/8 - r and 4\/(-360)*179 + (-12)\/(-20).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120139*v*w**2*z + v*w**2 - v - w**2*z + 6*w**2 - w*z - 320*w wrt v.\nAnswer: 120139*w**2*z + w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623.7 - -3084.\nAnswer: 3707.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 5 + (-12)\/(-3 - -1). Solve 2*z = r*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1973620 and 33946264?\nAnswer: 169731320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 137401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9598 + -9601.2234. Let f = -28.219 - j. Let t = 25 + f. What is t rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 652.9972 weeks?\nAnswer: 394932706560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 620 and 7054220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1628 and 3\/14.\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30467 is divided by 10098?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) -3 (c) -68 (d) -7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2*z + 252965582*q*z**2 + 123*z**2 - 99000*z + 12 wrt q?\nAnswer: 4*q*z + 252965582*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -397\/53?\nAnswer: -397\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(9250\/275))\/(1\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 11*p**2 + 11*p - 8. Let f be k(-12). Let q(z) = -4*z + f*z + 1 - 2*z**2 - z**2. Let l be q(-1). Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1100) + sqrt(1100))*6 - (sqrt(1100) + 0 + sqrt(1100))*4)**2.\nAnswer: 281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*w - 41*w - 40 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 641*l**6\/30 + 7*l**4 - l**3\/2 + 405*l. What is the third derivative of z(u) wrt u?\nAnswer: 15384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871213 is divided by 623735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.48 + 0.5. Let w = -8671 - -8667. What is the nearest to w in 0, i, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*x + 6 = 0, 0*x + 8 = -2*a + 4*x. Let k be a\/(-2) + (2 - -1). Put -1\/4, 5, k in decreasing order.\nAnswer: 5, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 14*a**2 + 26*a + 74. Let y be n(-8). Let h(o) = 13*o**2 - 8*o + 6. Let s(r) = 14*r**2 - 7*r + 5. Determine y*s(g) + 5*h(g).\nAnswer: -19*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.3 (c) -724 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 309, 419, 547, 699, 881?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 666*l**4 + 0*l**2 - 651*l**4 - 3*l + 2*l**2 to the form r*l + j + y*l**2 + f*l**4 + g*l**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-7))\/((-567)\/(-7938))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 772914 and 0.001.\nAnswer: 772.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 7*t - 5. Let s be h(-5). Suppose 0 = 9*o - s*o - 8. What is the hundreds digit of (-18)\/((2 + o)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -33304189.\nAnswer: -9991256.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 16*i**3\/3 + i**2\/2 + i - 6. Suppose -4*k = 16, -3*o + 10 = k - 2*k. Is z(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 5*y - 35. Let o be q(-9). Let x = 175 - o. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610666 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -1, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 - 7) - (-1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3716\/25 - -315419\/2100. Find the common denominator of j and 61\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/4859 and -91\/17200.\nAnswer: 1943600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:25 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5289*o**2 + 3256*o wrt o.\nAnswer: 10578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.3, -1\/2, -28\/13, -5\/3, -2\/55?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 0. Let a be (2\/4)\/((-1)\/r). What are the prime factors of (a\/4)\/(1\/24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - (4 - 3)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**2*w**3*x + 28704*f**2*w**2 - 2*f*w**3 + 293*w**2*x wrt x.\nAnswer: 3*f**2*w**3 + 293*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 - (-40)\/(-32). Let v = -35 - -145\/4. Which is the nearest to v? (a) 3 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-231)\/49 + 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/((-9)\/(-92277152)) - -1. Let q = 49277153 - u. What is q rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691*j**3 + 50*j**3 - 446*j**3.\nAnswer: -1087*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 420686.\nAnswer: 2524116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10963\/57 - (33\/(-9) - -3). Which is bigger: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 9, 51 in descending order.\nAnswer: 51, 9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414571, 830046, 1245521, 1660996?\nAnswer: 2076471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -9*x. Let l be g(-1). Suppose 2*h + h = l. What is the third derivative of -2*i**4 - 3*i**3 - 2*i**3 + 3*i**2 + 5*i**h wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.8226365 nanoseconds in weeks?\nAnswer: 0.00000000000029071203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -a + 8, -4*c + 2*a = 22. Let l be -15*c*4\/18. Calculate the lowest common multiple of 8 and ((-6)\/(-5))\/(2\/l).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 + m**2 + 2*m + 2. Let j be o(-1). Suppose f + j*f = 42. What is the remainder when 21 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.46848709 rounded to 3 decimal places?\nAnswer: 14.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:55 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -649b3 + -16?\nAnswer: -649c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 869, 891, 923, 965?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -299, -598, -897?\n\"Answer: -299*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3214 - 3210. Which is the closest to -3\/4? (a) q (b) 0.36 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 4, -2, 3, -0.2025, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9019, 9020, 9021, 9022, 9023, 9024?\nAnswer: 9025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5524 and -12016.\nAnswer: -6492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z - 128*z + 705 = -60*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(69*80\/5520)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1411*k*p**3*x**3 - 2*k*p**3 - 59*k*p**2*x**3 + 2*k - 11*p**3*x**3 - 238*p**2*x**2 - x**2 wrt p.\nAnswer: -8466*k*x**3 - 12*k - 66*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-594)\/162)\/((-880)\/3360)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -0*u + 2*u. Let o(w) = w**3 + 4*w**2 - 4*w - 4. Calculate the remainder when u is divided by o(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17035212 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107442601.\nAnswer: 7, 17, 263, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 4*c**2 + 0*c**2 as g*c + u*c**2 + j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40 + -40)\/(2*1). Solve l*v = 2*v + x + 3, 3*v + 6 = -3*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 - 146. Let n(r) = 20*r**2 - r - 3. Let u be n(c). What is the highest common factor of 125 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129 and 27?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 12326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 4785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 73 - 82 - (-31 + 8 - 2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 less than -7144841954?\nAnswer: -7144841953.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 + j**3)*(257 + 51 + 2*j**2 - 308 + 4283*j).\nAnswer: 2*j**5 + 4283*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.9 - -20. Which is greater: c or -39?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (6 + -7 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + -91. Put -5, m, 5, -4 in ascending order.\nAnswer: -5, -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590*r - 597*r + 399 = 0. Suppose 52*b = r*b + 2*y - 744, -15 = 5*y. Let d be 118\/4 + 2\/4. Calculate the greatest common divisor of d and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 51.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(21\/((-210)\/16)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-72) + 37\/4. Find the common denominator of 265\/v*2\/(-16) and 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 5*m + 32 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42116*-22\nAnswer: -926552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 - -1474\/7. Find the common denominator of ((-6)\/(-5))\/(16\/(-76)) and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 35451\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpvgvvv. What is prob of sequence pvp?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 365048.1 to the nearest one thousand.\nAnswer: 365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -45. Suppose a = 7*t - 9. What is the first derivative of 8 + 5 + 16*d**3 + 62*d**2 - 62*d**t wrt d?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1670.706 - -1452.6646. Let g = -218 - c. Round g to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = z + 2*z, f = -5*z - 22. Let l = z - -2. Is (10 - (-3 - l)) + 0 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.008 - 6.008. Which is the closest to k? (a) 5 (b) -1\/7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 4, 432, -8, -10, -3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8488 = 5*j - 82, 0 = -2*j. What are the prime factors of f?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/40 + 11*q**4\/16 + 35*q**3\/8 + 9*q**2 - 208. Factor h(c).\nAnswer: c*(c + 3)**2*(c + 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3488*d + 2343927. What is q(-672)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 387 = 53. Round r to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 11) + (-7 - -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from jkkadkjkkakakkak?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6727.373 + -6666.4. Let r = g - 61. Round r to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s - 101*s + 54*s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3229392967 from 35.\nAnswer: -3229392932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 30*n. Let x(q) be the third derivative of 0 - 1\/735*q**7 - 1\/105*q**5 + 0*q**3 + 7*q**2 + 1\/140*q**6 + n*q + 0*q**4. Factor x(u).\nAnswer: -2*u**2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - f + 14 + 225943*f**2 - 3*f**3 - 225941*f**2 - 8*f**4 as c*f**4 + p*f + a*f**2 + g + z*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317900 divided by -1100.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0*j**5 + 16*j**2 + 0 - 37\/120*j**6 + 17\/24*j**4 + 0*j**3 + 0*j. What is the second derivative of h(n) wrt n?\nAnswer: -222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-3)\/(-54)). Suppose p*i = 13*i - 240. What is the greatest common divisor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 578 and 9537?\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*o**5 - 928*o**4 + o**3 - 4*o - 4036?\nAnswer: -300*o**3 - 11136*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5782730 - -4.3546113.\nAnswer: 5782734.3546113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1d647 (base 16) to base 5\nAnswer: -12323031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56957 or -1?\nAnswer: 56957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g - 119 = 241 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4567962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118923*z**3 + 10*z + 1941 wrt z?\nAnswer: -713538*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133122 (base 4) in base 16?\nAnswer: 7da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 7. Let f(j) = j + 6. Let s(v) = -2*v + 9. Let n be s(6). Let b(p) = n*q(p) + 2*f(p). Differentiate b(y) wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**7\/42 + 7*f**5\/24 - f**3\/2 - f. Let r(c) be the second derivative of a(c). What is the second derivative of r(k) wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320)*-1)\/(sqrt(70)\/(sqrt(252)*1 + sqrt(252) + sqrt(252))).\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774*f**3 + 4*f - 4*f - 202*f**3 - 199*f**3 - 133*f**3 - 235*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1549904, -1549905, -1549906, -1549907, -1549908?\n\"Answer: -t - 1549903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -47*f**2 + 151*f + 2. Determine r(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 6. Let z be s(5). Let b = -21 - z. Solve b*y = -y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.02 - -0.02. Let d = 0.103 + 0.397. Sort o, d, 2\/13.\nAnswer: o, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 26 = -2*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13\/(g*g\/g**(-9)))**(-4)\/((g**(-2\/3)*g)\/(g**4*g)*(g*g**(6\/7))\/g*(g**(-7)*g)\/g) assuming g is positive.\nAnswer: g**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 21916*b**2\/5 + 26310*b - 197352\/5.\nAnswer: -2*(b - 3)**2*(b + 10964)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 9. Let t(r) = -16*r - 46. Determine 11*p(u) + 2*t(u).\nAnswer: u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3124 by 4.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1841 and 6.\nAnswer: -11046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 31 = -1. Let d be (-4)\/(0 - (2 + 0)). Suppose o = 2*y - d. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53824767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 50*r = 0. Solve r*o + 36 = 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118683?\nAnswer: 3, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j + 18*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -11737\/32354 (b) -1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 6*h - 4. Let i be l(-4). Let p = -2 + i. Suppose -5*x - 13 = -34*d + 30*d, 3*d - 9 = 3*x. Solve d*r = -m - p*m + 3, 0 = -m - 2*r + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + a + 7 = -5, 2*d - 4*a - 32 = 0. Suppose -4*b + 30 - 6 = 0. Find the common denominator of -33\/14 and (-494)\/24 + b\/d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2. Suppose -6 = -2*p - 3*c, 0 = -2*p + 6*p + 2*c - 20. Suppose -p = -3*l - 0. Let a(m) = -3*m + 2*m + l*m. What is i(a(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**10)**26*(g*g**(-2\/9)*g)**34 assuming g is positive.\nAnswer: g**(-1562\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 30*a**2 + 176*a + 15. Determine g(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1566\/8 - (-42)\/56. Let v = -191 - c. Solve -9*o - v = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57343, -57347, -57345, -57337?\nAnswer: -57323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25874, -25848, -25820, -25790, -25758, -25724?\n\"Answer: t**2 + 23*t - 25898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11546684, -11546681, -11546678?\nAnswer: -11546675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 5*i**2 + 2*i. Let d(y) = -2*y + 13. Let h(a) be the first derivative of 2*a**4 + a + 2. Let f be h(1). Let p be d(f). What is c(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + a**2)*(-1 + 2 + 5)*(0*a + a + 0*a)*(a - 3*a + 4*a + 1).\nAnswer: 12*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 - 8*o**2 + 8*o + 3. Let y(z) be the first derivative of -z**4\/2 + 7*z**3\/3 - 4*z**2 - 4*z - 2. Let r(v) = 3*w(v) + 4*y(v). What is r(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86843.48ml to litres.\nAnswer: 86.84348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 30 = -5*m - 13, p - 8 = -4*m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/43 and 59\/7?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x**2 - 5*x - 1. Let t(l) = -4*l**2 + 28*l + 11. Let h(a) = -3*a**2 + 18*a + 7. Let v(c) = -11*h(c) + 7*t(c). Give -2*j(r) + 5*v(r).\nAnswer: 5*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 15*m + 165. Let w = m - 29. Suppose 2*y = w + 6. Solve y*c = -3 - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 6*g**2 + 4*g - 6. Let b be u(-5). Let d(q) = -3*q**3 + q**2 + q + 1. Let w be d(b). Sort 2\/13, w, -2\/7.\nAnswer: -2\/7, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 591 + -321. Suppose n + 1631 = 3*q - u, 5*n = -25. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 701.736225+-2.863\nAnswer: 698.873225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1273640 and 2312.\nAnswer: 21651880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5467 is divided by 1346?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 49*w**2. Let b(n) = 595*n - 204. Let u(q) = 44*q - 15. Let c(l) = 5*b(l) - 68*u(l). What is i(c(t))?\nAnswer: 14161*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 118 = -2*b, 5*b + 64 = -7*m + 9*m. Solve -18*z + m*z = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1113465 + -5162?\nAnswer: -1121660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -821, -818, -815, -812?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -1\/140*x**7 + 0*x**3 + 0 + 1\/224*x**8 - 1\/80*x**6 + 1\/40*x**5 + 0*x**4 - 17*x**2 + 0*x. Solve w(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6418 + 6421. Let d(w) = w**2 - 8*w - 1. Let r(u) = u - 1. What is q*r(a) + d(a)?\nAnswer: a**2 - 5*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 3025?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 35, 10672\/71, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9318135 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4*q + 3*v, -330*q + 333*q - 138 + 119 = 2*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 14*w = -9*w + 1076, -2*w = -4*q - 1048. Which is smaller: -265 or q?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7592 + -7580. Calculate the greatest common factor of c and 2574.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**5\/20 - f**4\/2 + f**3\/2 - 9*f**2\/2 + 2*f. Let m be o(6). Suppose -j = -m - 17. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in -0.8, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*t + 2*d, 0 = t + 3*t - 4*d - 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2628, 1573, 518, -537, -1592?\nAnswer: -2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45496668703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/(-2))\/(-12 + 14). Let h(f) = -17*f - 6. Let b(z) = -33*z - 11. Let n(k) = r*h(k) + 6*b(k). Let c(i) = 2*i**2. Give n(c(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8330 - 6670. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + -0.7. Let n = -19\/224 - -1105\/15008. Let s = n - 83\/67. Which is the nearest to i? (a) 17 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/56240 and 87\/425600.\nAnswer: 15747200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 9:54 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) -3 (c) 2 (d) -2256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i - 7. Let l = 11 + -14. Let o = l + 3. Let a be 9 - 0 - (3 + o). Calculate w(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnfnxnnn. What is prob of picking 1 f, 1 n, and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from aphtk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/8)*z)\/(z*z**2)*z**(14\/3)\/(z\/(z*z\/(z**(2\/41)\/z)*z)) assuming z is positive.\nAnswer: z**(6389\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.69 - -72.69. Let j = m + -68. Which is the closest to -1\/4? (a) j (b) 0.8 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635796 is divided by 376426?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*3\/(-9)*2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02036 - -0.42036. Let p = -15.4 + 14. Which is the nearest to 2? (a) p (b) r (c) 5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*f - u, 0 = f + u - 2*u - 7. Let d(w) = 14*w - 2 + 2 - f*w. Let n(l) = -2*l. Determine d(n(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 20*f - 12*f**2 - 16 + 4\/3*f**3. Factor t(h).\nAnswer: 4*(h - 5)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12 - 51675\/10)*(-40)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-4) - 4\/16. Which is greater: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 8:01 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 19 = 4*g, 0 = -4*p - 2*g - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-16) + (-275)\/(-22)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 10 (c) -297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 2. Let n be d(-1). Let h be 0 - (-2 - 2 - -2). Suppose 4*j - 12 = -p, -5*j - p + 24 = -h*p. Solve n*a - j*u - 6 = -14, -4*a = 4*u - 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105.7 times -39665\nAnswer: -4192590.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 892?\nAnswer: 8028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -3 + (6 - 3). Let x(z) = -z**3 + z**2 + 15. List the prime factors of x(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h*h)\/h*h)\/h**(-4\/3)*h*h\/h**5*h*h*h*h\/h**7 assuming h is positive.\nAnswer: h**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g - 2284 = -13*g - 3542 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 23 = 4*y, -5*m + 6*m + y = -4. Let u(o) = o**3 + 7*o**2 - 2*o - 10. Let v be u(m). Solve v*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 991433 and 70333.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22070.03 decades to years.\nAnswer: 220700.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 323, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxssxsssssssssssxs. What is prob of sequence xsx?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 9*n**2 + 9*n - 23. Let k be g(9). What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-8)*(-2)\/(-60)*-8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 18*k**2 + 11*k + 5. Suppose -p + 16 = -3*p. Is a(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 6, 0 = 4*o + 5*h - 10*h - 37133. Suppose 27*v - 3349 = o. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {v: 18, x: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434 + 472. What is the greatest common factor of 209 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1160*m + 212*m + 92*m in the form l*m + z and give l.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5985276901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let p(m) = 38*m. Determine p(f(b)).\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 21 + 6 + 15 + 33 + 1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 + -0.8. Suppose 0 = -2*r - 0*r. Let z be (r\/(1 + 2))\/2. What is the second biggest value in l, 5, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 + 199. Suppose b = -q - 2*b + h, -5*b = q - 314. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58)\/(-18 + 16)*80 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11)*-3 + -4)*-2 - (-5 + sqrt(99) + 4)**2*4.\nAnswer: -392 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)*-5 - sqrt(100))\/(sqrt(2) - sqrt(18)\/(sqrt(9) + sqrt(45)\/sqrt(5))).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.071504 to 2 decimal places.\nAnswer: 54.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -16. Put 2, t, -1 in increasing order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5109741313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14781, 29615, 44555, 59637, 74897, 90371?\nAnswer: 106095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.3. Let u = -85 - -91.2. Let b = 8.2 - u. Sort -3, b, q in descending order.\nAnswer: b, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/4 - 225*l\/4 + 315\/2.\nAnswer: 5*(l - 42)*(l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2167637 (base 8) to base 16.\nAnswer: -8ef9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2514, 9656, 21408, 37776, 58766, 84384?\nAnswer: 114636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/2062820 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 7*p**2 + 3*p - 17. Let s be m(-6). Sort 3, -1, s, 0 in increasing order.\nAnswer: -1, 0, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = -4*g. Let w = 0.1 + 0.1. Which is the closest to 0? (a) w (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*q + 333*q - 7861 + 3691 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.33 in -0.2, -2, -23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 7*l**2 - 9*l + 2. Let t(s) = -3*s**3 + 15*s**2 + 21*s - 4. Let z(f) = 5*i(f) + 2*t(f). Calculate z(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479963.9353 rounded to the nearest 10000?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 0*v + 5*v - 12*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 422 + 338 = 0. What is the highest common factor of 266 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/(r\/(r\/(r*r**(-3\/5)))))\/((r**(3\/4)\/r)\/r*r*r**(-4\/3)))\/((r**(1\/4)\/(r**(-1)*r))\/((r*r\/((r*r**(2\/5))\/r)*r)\/r**(-3))) assuming r is positive.\nAnswer: r**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1201408 divided by 300352\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 3*k**2 - 2*k**5 - 3*k**5 + k**5 + 4*k**5 + (0*k**4 - k**4 + 0*k**4)*(k - k - k) + 3*k**5 - 5*k**5 + k**5 + 0*k**5 + 0*k**5 - k**5.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270549 and 454836.\nAnswer: 3921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/120 - t**5\/20 + t**4\/24 - t**3\/2 - t**2. Let x be 0*(-1)\/(2 + -1). Suppose 2*f + f + 9 = x. What is d(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 350192964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 190 and 166.\nAnswer: 31540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0*g = 0, 8*g = 5*w + 12*g - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 16) in base 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/14 - (4 - 6))*119\/85.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - i - 158 + 29, 5*w - 180 = -5*i. Which is smaller: 379\/12 or w?\nAnswer: 379\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/(-6) - 135\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 146 + 190. Let k be (-3)\/(6\/n) + 0. What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, m: 2}. Give prob of picking 2 c and 1 m.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let x(v) = -2*v**3 - 12*v**2 + 31*v + 5. Let b be x(-8). Suppose 0 = -3*r - 1 + b, 5*i + n*r - 17977 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**5\/30 + 2*a**4\/3 - 5*a**3\/2 + 9*a**2\/2 - 4. Let q(v) be the second derivative of i(v). What is the units digit of q(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 793648*u**2 + 4*u + 19015318 with respect to u.\nAnswer: 1587296*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllyycllclllclllylyl. What is prob of picking 4 l?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/60*-8202 + 3\/5. Let w = 1135\/4 - m. Is w smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*q + 4*q - q + q - 2*q - q + (2 + 6 - 3)*(-19*q - 2*q - 6*q) as o*q + c and give o.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:14 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*b + 2, 7*b + 2 = 5*l + 4*b. Let z(y) = -2*y**3 + 2*y + 1. What are the prime factors of z(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/72*1*(-144)\/(-90)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -0.07 (c) -2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 7. Determine k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1 - 5. What is the derivative of 2*d + 1 + t*d - 2*d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q - 13 + 13 = -103*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*f - 6912*f**2 + 0*f + 19497 + 19644 - 45995 wrt f.\nAnswer: -13824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(1\/(3 - 4 - 2)). Suppose -550 = -5*z - 3*b, 294 + h = 4*z + 2*b. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5619.\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 5*m**2 + 2*m + 3. Let b be n(4). Let i = -3 - b. Let o be 1 + 1 - i*-34. Calculate the highest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807906 < 7807907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(8\/19)*(v*v\/(v\/(v**(-3\/26)\/v)*v))\/v)**(2\/5) assuming v is positive.\nAnswer: v**(-837\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((102\/(-4))\/(-12*1\/2))\/(2170\/(-8680)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/(-231)*12 - -2*1. Which is the nearest to -2\/11? (a) -1 (b) 2\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 664 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2430 and 32940.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q - 49865 + 174333 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13662.59551527 and -0.4.\nAnswer: 13662.19551527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23662 - -24158. Calculate the greatest common divisor of l and 512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3614 - -7237\/2. Which is the fourth smallest value? (a) 0.4 (b) -2 (c) h (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -926\/9 + 103. Let h = 446 - 449. What is the third biggest value in 0.1, h, -2\/3, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + -4 + 0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*m**4 + 35 + 33*m**3 - 63 + 25 - 38*m + 36*m as w*m**3 + p + r*m**4 + z*m + f*m**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 + 9*i**5 + 31*i**3 + 16*i**2 + 3*i + 243 wrt i?\nAnswer: 240*i**3 + 540*i**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -33 - 62 - -6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1046711, 1046805, 1046963, 1047185, 1047471?\nAnswer: 1047821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 11:16 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**3 - w - 1. Let o be 9\/(-7) - (-10)\/35. Let n be y(o). Is (n - -2)\/((-1)\/6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21\/5*f**2 - 3\/5*f - 12\/5*f**5 - 9*f**3 + 39\/5*f**4 + 0 = 0. Calculate f.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*o + 251*o - 7224 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101046175 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.22764 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:06 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-45) - (-1 + (-566)\/(-90)). Which is the nearest to -2\/3? (a) 0 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.517134+-0.23\nAnswer: -0.747134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -427 * -0.08\nAnswer: 34.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 24*s**2 - 812*s - 4052. What is t(-5)?\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16030 - 16030 + p + 37*p**2 wrt p.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -35 - -6 - 45.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*g + c**2 - 325037*c*g*x + 667*g*x + 28*g - 2*x wrt c.\nAnswer: 4*c*g + 2*c - 325037*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(-p**3 + p**3 + p**3) - 1071*p**3 + 536*p**3 + 9 + 598*p**3 to x*p**3 + b*p**2 + c*p + l and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373 by 28.\nAnswer: 373\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*k - 0*k, 4*f + 16 = -2*k. Let s = 6 + k. Suppose s = -0*p + 2*p. Solve p*i = -5*q - 35, 4*q + 0*i + 4*i = -40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -2*z - 30, -17 = -5*m + z - 32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 11 + -5 + (0 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/13, -3\/2, -0.01, -21\/5, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2.336.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**2*g**2 - a**2*g*r - 12*a**2*g + a**2*r + 13*a + 6*g**2*r wrt r?\nAnswer: -a**2*g + a**2 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5 = 3*t + 47, 2*q + 2*q + t + 33 = 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/3)\/(3*49\/(-42))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10681 - 10677. Which is the nearest to -0.2? (a) 13 (b) -1\/21 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 10. What is the remainder when 2\/(2\/3) + (-3 - -50) is divided by 2\/p*(17 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 24*x + 7. Let f be g(-6). Let c = f + 2737\/20. Find the common denominator of -11\/16 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -858, -1879, -2960, -4101, -5302, -6563, -7884?\n\"Answer: -30*f**2 - 931*f + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 31\/3, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 + -4 + 0 + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 2*h - 3, -h = -1. Let t be (6 - z\/1) + -4. Solve 3 = 2*s + t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 - (10 + (-7 - (-12 + 2 + (-30 - -42))))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201 and 2.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 16*x - 4*x + 5*x + x - 4*x + (0*x - x - x)*(-3 + 1 + 4))*(x + 3*x - 2*x).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + a - 3*a - 2 = 0, -4*z + 3 = -3*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 19*y + 9542. Suppose 28*k + 3*z = 33*k - y, -4*k - z = -3827. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 48*p + 11*p**2 + 8*p**3 + 15*p**2 + 2 + 2 - 7*p**3. Let v be o(-24). Solve 4*t - 16 + v = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbxbhhphx. Give prob of sequence bbhh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 1. Let k(g) = 0 + 3 - 6 + 2. What is -f(c) + k(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 21 = 5*d - 53, 2*s = 4*d - 10. Let q be (-8)\/48 - s\/6. Solve -2 + 8 = -q*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 27*m + 1457. What is z(-14)?\nAnswer: 1079","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1147151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxx when three letters picked without replacement from {n: 11, x: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 40?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2097943, -4195862, -6293781, -8391700, -10489619, -12587538?\nAnswer: -14685457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a - 69. Let c be x(8). Solve c*q - 23*q + 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1071\/(-2140) + -1*3\/(-6). Let c = m - 140161\/19260. Calculate the common denominator of c and 35\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 17*z**2 + 68*z + 32. Calculate g(-10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/128 and -71\/8?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.996 - -1.304. Let n = -14 - 43. Let h = n + j. What is h rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4448.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*d - 133 = 2*f, 3*f - 4*d - 98 = 0. Let i be f\/5 + (-9)\/(-45). Solve -a + 3*g = 9, -3*g + 5 = -i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-9)\/1485*-11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 18*v + 28 = 0. Factor -s - 4*s - 5 + 5*s**3 - 5 - s**v + 14 - 3*s**2.\nAnswer: -(s - 4)*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 + 72. Let o(z) be the second derivative of z**5\/20 + z**4\/6 - 2*z**3\/3 - z**2 + z. Give o(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*z - 597 = -70*n + 2213, -24*z + 27*z - 95 = -2*n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0. Let r = 2 + -2.1. Let i(c) = c - 5. Let p be i(0). What is the third smallest value in r, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 4. What is the remainder when 79 is divided by j(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuam?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -37, -21, 33, 137?\n\"Answer: 2*z**3 + z**2 - 27*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 51 = 23*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 2\/7, -8\/7, -2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1945*r - 355767 + 565827 = 0 for r.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33800 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58 * 46\nAnswer: 2668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 1, o: 1, a: 1, b: 1, m: 2}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*g - 45 = 0, -33 = -99*y + 96*y + 3*g. Suppose 7217 + 3325 = y*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 36 - 39 = 2*u, -9*o - 407*u = -408*u - 122 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1131.5 + 10443.5. What is the second smallest value in 5, f, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -13. Let n be ((-1)\/(-4))\/((4 - 18)\/(-112)). Let x = n - y. What is the highest common divisor of 72 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3680 or 3679?\nAnswer: 3680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-60)*(8\/12)\/(-1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 16 - 5 + 2*k - 7.\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3\/3 + 5779370*w**2\/3 - 4175136809926*w\/3 - 4175142589298\/3 = 0.\nAnswer: -1, 1444843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 78*q**2 + 2. Calculate the least common multiple of 5978 and k(-78).\nAnswer: 5978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2409784378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*6\/(-9) + -1. Let f(x) = 7*x + 4. Let n(q) = -6*q - 3. Let u(l) = 3*f(l) + 4*n(l). Determine u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Let t = -3 + 5. Suppose -t*f = -f - 4. Calculate the highest common divisor of f and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001152 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/49 in 6, -0.1, -1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2423 divided by 13.\nAnswer: -2423\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0185 and -895.\nAnswer: -895.0185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 25. Let b be c(-10). What is the highest common divisor of 55 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9219278 is divided by 107?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**5\/20 + 5*n**4\/2 - 52*n**3\/3 + 5*n + 1. What is the second derivative of y(w) wrt w?\nAnswer: 6*w + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111.844 + 87?\nAnswer: 1198.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 72.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4704 and 2314944.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 - 101 - (-60 + 8 - -12).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 75166.324 to the nearest ten.\nAnswer: 75170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*d + 148, -k - 2*k - d + 113 = 0. Suppose 4*q - 139 + k = 0. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) 41 (b) 0.02 (c) -0.2 (d) 1.3 (e) 1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 3*b**2 + b**2)*(19*b**2 - 86*b**2 + 3*b**2).\nAnswer: -384*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = 4*b - 16, 3 = -b - p. Let j be 3\/(-2) + b\/2. Let k = 144472 + -144472.2. Put k, 2, j in increasing order.\nAnswer: j, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 712*c - 784*c + 1224 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-33)*(-17)\/((-51)\/(-36)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-9)\/21 - (-26)\/(-28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(6*l - 2*l - 2*l) - 2*l - 3*l + 7*l - 4 + 4 - l + 0*l + l - 2*l)*(0 - 3 + 0) + (1 - 5 + 2)*(291 - 291 + 20*l).\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m - 3. Let q(p) = -66*p - 39. Let d(b) = -2*q(b) + 27*z(b). Give d(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {x: 3, u: 7, z: 2}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6b93d (base 14) to base 11\nAnswer: 16a246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/21*-6)\/(-380*52\/14560)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 - 2*y**2 + 17*y + 15. Determine j(4).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 863 - 854. Let o = -9.81 + 0.75. Let x = d + o. What is the nearest to 0.2 in -0.4, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -17*x + 6. Let v(k) = -191*k + 16. Let r(q) = -35*q + 3. Let f(w) = -33*r(w) + 6*v(w). Determine 11*f(l) + 6*m(l).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 12:58 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170422093.\nAnswer: 17, 10024829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 21 + 7. Suppose 0 = 11*g - l*g - 105. Is 11 a factor of 396\/14 + 10\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 257, 410, 583, 782?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -3*6\/45. Let h(j) = 12*j - 229. Let d be h(14). Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11860*b**3 - 306*b**2 + 67*b wrt b.\nAnswer: -71160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:26 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6901 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/360 and 12 - (-10 - -27) - (0 - (-4406)\/(-840)).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 769043 and 390335?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*j + 106, 4*j + 7 + 25 = -v. Let g be ((-2)\/4)\/(2\/v). Suppose -5*c + 4 + 0 = 2*s, 3*s - c = g. Solve s*o - o = n + 1, -3*n = 4*o + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177731550 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27516, -27515, -27514, -27513, -27512, -27511?\n\"Answer: d - 27517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -258 divided by 2323\nAnswer: -258\/2323","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (48\/(-5))\/(6\/(-20)). Suppose 0 = -2*u - 6 + h. Solve -u = y + 3*o, 3*y - 1 = o + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3480 and 481178.\nAnswer: 837249720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*m + 42*m + 4*m**3 + 26*m + 93*m**2 - 289*m**2 in the form u + c*m + r*m**3 + l*m**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b - 2 - 16*b + 5*b. What is u(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(3872) + -1 + sqrt(3872)) + sqrt(3872)*1*-2)*1)**2.\nAnswer: -5280*sqrt(2) + 557593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*z = 738*z + 176 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 11*n - 15 = 0. Suppose 0 = n*v + 8 - 18. What is the common denominator of 145\/12 and (2678\/(-780))\/(v\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189803 + 11392.\nAnswer: 201195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -887*t**2. Let z(x) = -2*x. Give z(p(h)).\nAnswer: 1774*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000001011 (base 2) in base 7?\nAnswer: 11663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 - 4*m + 89. Suppose 0 = -x + 3*x - 22. Let g(b) = b**2 + b - 18. Let a(d) = x*g(d) + 2*h(d). Is 12 a factor of a(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226939 >= 1226930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7*-14*1\/2. Let y be -4*(1\/m)\/((-6)\/6). Solve 0 = -y*o - o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61615379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from {b: 1, n: 5, r: 4, z: 5, m: 1, y: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530292, -1060588, -1590886, -2121186, -2651488?\nAnswer: -3181792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 6:50 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214b (base 16) to base 2.\nAnswer: -10010000101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.87 times -9058?\nAnswer: 2516946.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n - 64. Calculate the remainder when m(25) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*(-1)\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10498*d - 430330. Give h(41).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -1\/3*j**3 + 0 - 91\/12*j**5 + j**2 + 1\/8*j**4 + 0*j. Let y be i(-6). Round y to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 0.2. Let i = 0.195 - -1.805. Which is the nearest to s? (a) -2 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4945.525 milliseconds?\nAnswer: 4945525000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2458*d**2*q**2 - d**2*q - 119*d*q + 2*d - q**3 wrt q.\nAnswer: 4916*d**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272058*b + 10*b**2 + 272058*b.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -250*z + 1186?\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8897 - 8901. What is the biggest value in r, -1, -1\/48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6be9c (base 16) in base 11?\nAnswer: -2820aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 619351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buul when four letters picked without replacement from {u: 7, w: 1, b: 1, h: 2, l: 4}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/564*24*-10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*5)\/(1\/(-37)). Is u\/((-4 + 3)\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1da52ed4?\nAnswer: 1da52ece","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 15, a = 3*d + 206 - 220 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -43, -21, 21, 89?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17 = -4*d - 1, 2*d = -4*o + 24. Let n = -34 + 49. Calculate the remainder when n is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:51 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 10) to base 15.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 46*w**3 + 3*w**2 + 34*w - 21. What are the prime factors of c(6)?\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 85*r + 112 = -81*r, 28 = g + 2*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/25 in 0.3, -2\/5, 6, -0.35?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 17*k**4\/24 - 13*k**2. Let v be s(-1). Let w = 9 - v. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 - -142 - ((-18)\/(-33))\/2.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*d - 16. Let x be d*(-1 - -8) - 0. Let y = x - 16. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 2744 = -16*y + 2954. Let n(f) = -10*f**3 + f**2 - f - 1. Let w be n(-1). Calculate the greatest common factor of y and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0 - 8. Let s = 2 + d. Suppose -2*l = -s*l + 14. Is -6 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -4*a - 21, -5*b = -4*a - 45. Find the third derivative of -b*t**3 + 14*t**2 - 240*t + 240*t wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*p - 90*p - 4*p - 51*p - 117 wrt p.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5 = -4. Let l be (6\/(-4))\/(v\/(-18)). Let o = l + 5. Is -4 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5 - 117496*d**4 + 1175027*d**3 - 3877658*d**2 + 4700224*d - 1880096 = 0. What is d?\nAnswer: -117506, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.441*599.6.\nAnswer: -5061.2236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(15)\/(sqrt(27)\/sqrt(9)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1, 1, 10906, -8, -2 in ascending order.\nAnswer: -8, -3, -2, -1, 1, 5, 10906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.2 at least 20.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 1926 = 122*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (2 + (-66)\/14). What is the third biggest value in 10, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times -276?\nAnswer: -46.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-20 - ((6 - (7 + 1)) + 7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -148, -175, -170, -121, -16, 157?\n\"Answer: 2*k**3 + 4*k**2 - 53*k - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 112*u**2 + 122*u - 10776. What is x(-110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*b - 2*w, 4*b - 86 = b - 4*w. Let l = -14 + b. Let r(q) = 186*q - 708. Let v be r(4). Calculate the highest common divisor of v and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 129 + 501 = 0. Suppose -32*k + z - 85 = 0. Which is bigger: -6\/11 or k?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 69 - (122 + -228).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5965 divided by -1193\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -499 + 527. Let o(m) = -22*m + 6. Calculate the lowest common multiple of o(-1) and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*r + 13 + 9, -3*v = r - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -869 + 871. What is the third derivative of -118*g**l + 44*g**2 - 69*g**4 + 284*g**2 - 65*g**2 - 158*g**4 wrt g?\nAnswer: -5448*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226509435.\nAnswer: 3, 5, 5033543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 2. Let o be q(-3). Let t be (-2)\/(-8) + (-27)\/28. Let x = 10078.9 - 10079. Which is the nearest to x? (a) -0.1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 3*z. Let q be t(2). Let y be (q + -5)*(-8)\/132. What is x in -4\/11 + 32\/11*x**2 - 14\/11*x**5 - 68\/11*x**3 + y*x + 52\/11*x**4 = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1112 and 8618.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 2*p - 174, -4*m + p = 345. Let r = m + 91. List the prime factors of (212\/(-3))\/(r\/(-3) - -1).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 6*d - 3*i - 10, -2 = i. Let a(m) = -2*m**3 - 41*m**2 - 22*m - 40. Let k be a(-20). Solve -7*j + d*j - 9 = k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, -8\/5, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -726344 less than or equal to -726349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 124. Let z be (9\/(-75))\/(1\/t). What is the second smallest value in z, -3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 11:04 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13249 + -84?\nAnswer: -13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = -19. Let w(o) = -4*o - 12 - 6*o**2 + 28*o**2 + 6*o. Suppose -64 = 2*h - 74. Let c(s) = 9*s**2 + s - 5. What is h*w(p) + q*c(p)?\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45739459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -448, -0.2, 13955?\nAnswer: 13955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 32*o - 2*m - 433 + 36, 5*o - 115 = -m - 36 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 976171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:40 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:30 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2860 - -6*(9\/(-3))\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 23*j + 35. What is n(-21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -1\/8, 0.03, -2\/23, -3466 in decreasing order.\nAnswer: 7, 2, 0.03, -2\/23, -1\/8, -3466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/((-3248)\/616) - 1*-7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76818 divided by -1.\nAnswer: -76818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 30\/49?\nAnswer: 30\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -27. Suppose -2*t + o*t = -6, 2*t - 11 = 5*u. What is the tens digit of (u + 2)\/((-4)\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2859, 2, -16 in ascending order.\nAnswer: -16, 2, 2859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-79 + (75 - 81) + (0 - -15))) + 2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14477 and 11191?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4788 divide 160259148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + g + 540. Let a be m(0). Suppose 0 = -4*v + 4*s + a, -v + 138 = 3*s - s. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -149*g - 3. Let p(w) = -149*w - 3. Let z(u) = -4*p(u) + 3*r(u). Is z(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**0*m))*m*m**0)\/(m*m**(2\/23)*m*m*m*((m\/(m\/(m\/((m**(-5\/8)\/m)\/m)))*m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(-867\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -25 (c) 0 (d) 0.49 (e) 2\/13 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3976, 8343, 12710, 17077, 21444, 25811?\n\"Answer: 4367*p - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 589910*b + 17399690405.\nAnswer: 5*(b - 58991)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 12 = 3*m, 4*m + m + 20 = 3*i. Suppose -5*l = -3*o + o - 6, i = 3*o + 9. Is l bigger than 2\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 3, 4, 23, -12 in decreasing order.\nAnswer: 23, 4, 3, -12, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7308 less than -140.46?\nAnswer: -143.1908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/973 and -1\/245930.\nAnswer: 239289890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + f - 11 = 2*f, -5*q = 5*f - 20. Let v = 1 + q. Suppose -20 = v*t - 0. Which is the third biggest value? (a) 0 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6377?\nAnswer: 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/9 + 3028*z**2\/9 + 7090*z\/3 + 4056 = 0.\nAnswer: -4, -3, 1521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 4, n: 2, s: 1}. What is prob of picking 1 s, 1 u, and 2 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((-24 - -26) + -8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.04724 rounded to 2 dps?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1165)\/(-15) + 7\/(63\/(-6)). Let v(y) = 3*y**3 + 5*y**2 + 4*y + 2. Let o be v(-3). Let p = o + j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/5*h**2 - 2\/5 + h + 4\/5*h**3.\nAnswer: (h + 1)*(h + 2)*(4*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*a - 76 = 36*a + 29*a. Factor a*l**2 + 5\/6*l**3 + 0 - l**4 + 0*l + 1\/6*l**5.\nAnswer: l**2*(l - 4)*(l - 3)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 12:44 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -4, 1 in descending order.\nAnswer: 7, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4685306872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7482 * 0.6678.\nAnswer: -4996.4796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/12*(-18)\/4. Let f be 1\/3 + (-20)\/o. Is f\/6 - (-40)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*w - 90*w + 221 + 1469 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.928 - -0.072. Let f be 0 + 0 - (-2)\/(-8). Let o = -0.78 + 0.88. What is the closest to f in o, i, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 - 7*x + 9. Let d be r(-7). Find the third derivative of -2*p**2 + d*p**2 + 2*p**3 + 5 - 5 wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 528537.8.\nAnswer: -158561.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13197361 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 8. Let v = 2 - z. Let x(m) = -21*m**2 + v + 19*m**2 + 0. Let g(r) = -4*r**2. Calculate x(g(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*k - 6*u + 783 = -3*u + 3190 + 6279, 4*k + u + 58 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134 + -2?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2. Let r(w) = 10*w**2. Let v(s) = -3*c(s) + 2*r(s). Let f(z) = -3*z**2. Give v(f(y)).\nAnswer: -63*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4505 + -4503. Let h(s) = -s + 2. Let p be h(-8). Let f(g) = -p + 1 + 9 + j*g**2. Let l(i) = -i**2 - 1. Determine f(l(x)).\nAnswer: 2*x**4 + 4*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265950*n**5 + n**4 + 457*n**3 + 2*n**2 - 21194*n + 3309 wrt n?\nAnswer: -15957000*n**2 + 24*n + 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*j - 35*j + 49*j**2 + (5*j - j - 3*j)*(5*j - 48*j - 4*j))*(0 + 2 - 3) in the form m + a*j + o*j**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000057903 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42011 or -41689?\nAnswer: -42011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21965929*s**4 - 2940129*s wrt s?\nAnswer: -263591148*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2. Let b(x) = x + 14320. What is b(o(w))?\nAnswer: w**2 + 14320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m + 2. Give g(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-5*4\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 80*h + 82 + 75 + 78*h - 304 + 71.\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -8.68, 0, -10\/27?\nAnswer: -8.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 408. What is the highest common divisor of h and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*z - 2, -2*z = -5*q + 2*q - 3. Find the common denominator of (q\/44)\/(15\/(-90)) and 71\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 14. Let d be l(0). Suppose -d*w - 75 = -299. What is the highest common divisor of 112 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115 - -112) + (4 - -1) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -441.89 + 440. Let c = 1.8 + a. Is c equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3145 or -1?\nAnswer: -3145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247857734?\nAnswer: 2, 71, 547, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2595965.\nAnswer: 1\/519193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {x: 1, w: 2, k: 7, j: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -341, -0.13, -309?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4462 and 15?\nAnswer: 6.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2 - 1835424*w - 210548828736 = 0. What is w?\nAnswer: -229428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 8*z**2 + 6*z. What is v(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1367237\/333 + -46235\/37. Let x = 2861 - p. Calculate the common denominator of (1\/(-1))\/((-154)\/350) and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 11*c + 14. Let a = -12 + 2. Let w be k(a). Solve -d - w*n = -1, -2*n = 5*d + 3*n + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 17\/(-2)*(0 + (-4)\/1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221448 to the power of 1\/2, to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 11 + 10*r - 3 + 0. Suppose 247*h = 243*h - 4*s, 0 = -h + s + 8. Is y(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.845545 litres?\nAnswer: 845.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 + 299\/2. Let 1\/2*p - 1\/2*p**2 - d*p**3 + 1\/2 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 7*d.\nAnswer: d*(d - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -27. Let t(s) be the third derivative of -s**6\/40 - 5*s**4\/12 - 7*s**3\/6 - 222*s**2 - 2*s. Let n be t(i). Round n to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*k**2 - 2*k**4 + 431*k**2 + k**4 - 2*k**4 + 4*k**4 + 5*k to the form w*k**4 + q*k**2 + z + f*k**3 + h*k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-35) + (-32)\/14. Let o be 99*i\/(-18)*3. Does 15 divide 1029\/o + 2\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.74452523 and -4.\nAnswer: -0.25547477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 12*r - 10*r + 2, -r + 5 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 908*c - 169. What is the remainder when u(6) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 75 = 5*r, -72 = 4*r - 9*r - 2*b. What is the least common multiple of r and (-70)\/(-9) + (-2)\/(-9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.6, 1, 3, -0.5, -0.3 in ascending order.\nAnswer: -0.5, -0.3, 1, 3, 11.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + j**2 + 6*j**2)*(3*j**2 - j**2 + 0*j**2) + 39*j**4 + 925*j**3 - 925*j**3.\nAnswer: 45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.3 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5) + 108\/180. Suppose y = 11*a + 698 - 192. Is -45 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 1 + -7 + 10 - -2 - -18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1190 by -119.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.2651 rounded to one dp?\nAnswer: -219.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + sqrt(34)\/sqrt(2)) + sqrt(34)\/(sqrt(4)\/sqrt(2)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 3 (b) 7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 427.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-3) + 12\/18. Let x(k) = 5*k - 4. Let h(z) = 5*z - 4. Let y(j) = -6*h(j) + 7*x(j). What is the smallest common multiple of 16 and y(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -b - 217, 5*l = -5. Let o = 438 + b. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 3}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -6?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 375*f**2 + 5*f - 28. List the prime factors of m(3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/3, 0.002, -23.7 in ascending order.\nAnswer: -23.7, -0.1, 0.002, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 164 = -2*p, v + p = -v + 169. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 0.2756?\nAnswer: -0.0756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12397\/2180 + 4\/109. Let s = 32\/5 + y. Is 0 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 24*z**2 - 142*z - 8. Let k be p(12). Solve 23*d + k = 39 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5840 + 1928 - 1054 + 1217 + 1609 + 3557)*(-6*f**4 - 12*f**3 + 12*f**3).\nAnswer: -78582*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 30*y**2 - 9*y**2 + y + 0*y - 6*y**2. Let n(x) = -26*x**2. Calculate f(n(w)).\nAnswer: -30420*w**4 + 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + ((-20)\/(-4) - 3). Let k = -5878 + 5882. Which is the third biggest value? (a) k (b) -3 (c) -0.2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744269551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3 + 0*d + 0*d**4 + 0*d**3 - 1\/2*d**6 - d**2 + 0*d**5. Find the second derivative of n(m) wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1004140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3997443 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m**2 - 241*m + 54. Let r be v(-27). Let o(f) be the second derivative of r + 3*f - 1\/2*f**2 + 1\/3*f**3. What is o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/269178 and -33\/91?\nAnswer: 269178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x - 5. Suppose 4*p = -p - 50. Let o be 1\/4*p*-2. Let d(u) = 3*u - o*u - 5*u + 2*u - 2. Calculate -5*d(c) + 2*y(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 56*m**4 + 7*m**2 - 7*m - 742. Let a(r) = 37*r**4 + 5*r**2 - 5*r - 494. Let w(g) = -7*a(g) + 5*s(g). What is the derivative of w(c) wrt c?\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 70*k - 138. Let p be r(2). Solve 0 = p*a + 11*a + 52 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 597\/15 - (-1)\/5. Let y = -37 + f. Solve 0 = -5*i + 3*i + n + y, -n = -i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*w + 2*w + 14, w = 3*f - 4. Let z be 7 - (4 + 6\/(-3)). Let i be 6\/z*10\/f. Solve -q = i*k + 9 + 11, 5*k + 36 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 + -212.6. Let d = -53.6 - -42. Let b = t - d. What is the second smallest value in b, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1301 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 58 = -3*b - 2*w, 0 = -3*b + 3*w + 54. What is the greatest common divisor of b and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4243 - 0.1409. What is i rounded to two dps?\nAnswer: 3.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/13 + 2*i**2 - 112*i\/13 + 160\/13 = 0.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0159 - 0.0543. Let n = -0.0384 - b. Which is greater: n or -13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3\/4, 0.07, 0.1 in decreasing order.\nAnswer: 3\/4, 0.1, 0.07, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(26\/33579))\/1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2339*z = 1512 + 60126 - 214313 - 118649 for z.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 2. Let o(v) = 3*v + 3. Let u(a) = 3*m(a) - 2*o(a). Let q(n) = n**2 + 21*n. Determine q(u(s)).\nAnswer: 9*s**2 + 63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004751 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*o**2 - 58 - 18*o + 6*o**2 + 59 + 17*o to a + f*o**2 + x*o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 113558656 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: Expand q**4 + 14*q**4 - q**4 + q**4 - 1 + 1 + (-3*q**2 + 2*q**2 + 0*q**2)*(q**2 + 4*q**2 - 6*q**2) + 0*q**4 + q**4 + q**4.\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 493 + 3760. Let y(x) = 43*x + 2. Let n be y(-6). Let u = n - q. What are the prime factors of u?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o*o**(1\/8)*o)*o**(-5\/2) assuming o is positive.\nAnswer: o**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7186376927?\nAnswer: 7591, 946697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13168, -52673, -118520, -210715, -329264?\n\"Answer: -p**3 - 13165*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 3*w - 6*w - 4*c, 4*w - 3*c = 295. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -6, 17634 in ascending order.\nAnswer: -8, -6, 0, 17634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1007130841 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*d**4 + 30*d**3 - 1 + 5 + 71*d**4 - 29*d**3 + 27*d**2 to w + o*d**3 + t*d**4 + v*d + n*d**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + p - 3*p)*(0 - p + 0) + 2*p**2 - 3*p**2 + 3*p**2 - 1 - 2*p**2 + 1)*(5 + 34 + 1 + 2*p).\nAnswer: 2*p**3 + 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*x - 13 = -p, 4*x + 37 = 3*p. Suppose -1192 = -d - p*d. Let i be (-8)\/27*(-2 + d\/76). Is i at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.7 + 16.3. Sort 12, -2\/3, y in descending order.\nAnswer: 12, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -23838?\nAnswer: 23836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -27b3?\nAnswer: 27b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242*3.\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let r be b(3). Let j be (r\/4)\/(1\/(-2)). What are the prime factors of 0 + 3 - (j + -12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 6188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 53 = 13. Suppose m + 3*m = -s + 163, -5*m + j = 0. Is 31 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {l: 16, x: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 139? (a) -5 (b) 3 (c) -2\/3 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 25 = 3*q - 4, -4 = -2*q + 5*y. Let o = 13 - q. Calculate the least common multiple of 51 and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 9*y + 8 = 71 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*s**5*t**2 + 11500*s**5 - 378*s**2*t + 3*s*t**2 + 3*s*t + 40*t wrt s.\nAnswer: -2040*s**2*t**2 + 690000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1, 43678 in ascending order.\nAnswer: -4, -1, 1, 43678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9285684 decades in centuries?\nAnswer: 0.09285684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 >= 8721\/230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 228, 225, 222, 219, 216?\n\"Answer: -3*z + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 169 and 77787?\nAnswer: 77618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 = 6. Let q(v) = 4*v**2 + 2*v - 2. Calculate the remainder when q(b) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1976, -3104, -4232, -5360, -6488?\nAnswer: -7616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12)*76\/(-20). Let m = w - 2\/15. Determine f so that -m*f**2 + 0*f + 0 + 1\/2*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672507*h**2 + 610394*h**2 - 402059*h**2.\nAnswer: 880842*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 714 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1484\/8 - 6\/12. Suppose -i - k = -z, 0 = -3*i + 11 - 5. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 6:53 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 0, -i - 4*i - k + 15534 = 0. Suppose -n + 2699 + 409 = 5*q, 2*n - i = -5*q. List the prime factors of q.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -9320587\nAnswer: 20\/9320587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.56303ml in litres?\nAnswer: 0.06456303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + 4*h**2 - 75*h + h**2 - 3*h**2 as b + c*h + m*h**2 and give c.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 1140 + w**3 + 571 - 43*w**2 + 567 to the form k*w + a + x*w**2 + f*w**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 139 = m, -185 = -5*w - 5*m - 0*m. Suppose v + 27 = 5*n, -1 = 3*n + 5*v - w. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {x: 6, d: 3, v: 2, q: 4, j: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 - 10*v**2 - 25*v - 6. What is the units digit of l(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.79983 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.1. Let t = w + -8.1. Let m = t + 8.2. What is the nearest to 1\/5 in -1\/7, 5\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-96)\/(-28) - 3) - 2. Which is the second biggest value? (a) j (b) -2\/5 (c) -0.1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - (-7)\/(84\/(-6))*-8222. Calculate the greatest common factor of j and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/182 or 121?\nAnswer: -3\/182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*g - 2040, g - 3*q - 2*q = -385. Let t be 4\/(-14) + g\/(-14). Suppose -r - 5*j + t = r, -3*j = -5*r + 88. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 406?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2415*j**2 + 33 + 7*j - 2213*j**2 - 7*j in the form m*j**2 + k*j + a and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 214 divided by -115033\nAnswer: -214\/115033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 4:24 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1 - 1 - 4*h + 1 + 1. Let v(b) = -2*b**2. Determine a(v(p)).\nAnswer: 8*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -5, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.96611*3.\nAnswer: -2.89833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 19*d = 17*d + 517400, z - 3*d = 43123. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 2*z**2\/7 - 32*z\/7 + 32\/7.\nAnswer: 2*(z - 4)*(z - 1)*(z + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 19*p**2 - 22*p - 35. Let c be y(-20). What is the closest to c in -1, -3\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 83. Let r be (1 + 1)*x\/(-2). Suppose -2*o = 3*h - 29, 4*o - 5*h - 31 = 16. Calculate the greatest common factor of r and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - 6 - (-1 + 2)) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -6899566605973.\nAnswer: 6899566605958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 390 + -258. Suppose -t + 6 = -3*m. Suppose -3*u = -4*n - 58, 0*u - 4*u = 4*n - 40. Calculate the highest common divisor of m and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27652654 and 146.7?\nAnswer: 27652507.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-19 - -11) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from gaagaagggggagaggaaga?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*f - 9705 = 0, -5*k + 12582 = -2*f - 3567. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 227657, -0.04, -24 in increasing order.\nAnswer: -24, -0.04, 1\/4, 227657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672257 is divided by 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 6 - 1 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 756 divided by 27\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6510\/(-378) - ((-747)\/81 - -9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-118)\/(-8). Let f = -7 + t. Let y(o) = -6*o + 6*o - f*o**2. Let r(q) = 2*q. Calculate r(y(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 31636*v - 221461. Determine x(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -26*k**2 + 11*k - 11. Let y(s) = 9*s**2 - 4*s + 4. Let z be 194\/18 - 32\/(-144). Determine z*y(q) + 4*v(q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/8)\/((-2)\/(-16)). Let u(y) = -5*y**3 - 2*y**2 + 4*y**3 - p + 1. Let a(q) = q**3 + 2*q**2 + 4. Suppose 0 = 4*f - 21 + 9. Determine f*u(j) + 2*a(j).\nAnswer: -j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164 is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47268317 to the nearest integer?\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8) - (sqrt(8) + sqrt(16)\/sqrt(2))) - (sqrt(200) + 2))**2 + -1.\nAnswer: 44*sqrt(2) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61283 divided by -5.\nAnswer: 61283\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/9, 7, 2\/11, 14.\nAnswer: 2\/11, 8\/9, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 0.14, 2\/17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j - 254. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/7*(18 + (-936)\/24)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13046544 divided by -3528.\nAnswer: -3698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*l*r**5 + 894*l*r**2 - 2*l*r - l - 19141*r**5 + r + 3 wrt r.\nAnswer: 1440*l*r**2 - 1148460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334 + 595. Suppose -2*o + d = 23. Let c = -24 + 41. What is the greatest common factor of c and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 647960, 1296065, 1944172, 2592281, 3240392, 3888505, 4536620?\nAnswer: 5184737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230\/217 - -24\/31. Suppose 0*p = p - 1. Let i = -2.9 + -0.1. What is the closest to p in i, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10811*k**2 + 19846 wrt k?\nAnswer: -21622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from {z: 2, w: 1, p: 2, i: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3112, 3110, 3108, 3106, 3104?\nAnswer: 3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -4, -5, -0.2148?\nAnswer: -0.2148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-1)\/sqrt(6) + -5*sqrt(39)\/sqrt(3))**2*-4 + (((sqrt(65) + (sqrt(65)*1 - sqrt(65)) - sqrt(65)) + sqrt(65))*-1)\/((sqrt(120)\/sqrt(4))\/sqrt(6)).\nAnswer: -1872 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14251 divided by 3.\nAnswer: 14251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19515738 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128982702616\/189 - 682449821. Let z = -1659 - a. Let d = z - -61\/189. What is the nearest to d in -4, -1, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g. Let u be w(-8). Suppose -4*b + 0*f - 4*f = -u, 16 = -2*b + 5*f. Let q be -1 - (b - 3) - 0. Solve q*o + o - 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 169*l + 107. Let j be s(-11). Let r = j + 2921. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -37, -49, -65, -85, -109, -137?\n\"Answer: -2*j**2 - 2*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/21 + (-2)\/(-3). Are r and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20849 = 5*m - 2*x, -2*x + 20841 = 7*m - 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 8. Let k be i(4). Let v be 8*(-3 - -4) - k. Is 70\/6 - v\/(-24) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1*(2 - (-4 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + s**2 - 6*s + 6. Let j be t(1). Let d be (1 + -3)*2\/(-4). Is d at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23585\/4 - -5897. Determine c, given that 9\/4*c - t - 3\/2*c**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 15 - -11 - (7 + -7 + -23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*s + 2 + 3*s + 2*s + 0*s + (-3 + 5 + 0)*(s - s - s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -25*y**2 + 30*y. Let l(z) = -z**2 + z. Let a(m) = -f(m) + 30*l(m). Let g(x) = x**2 + x**2 + 4*x**2. Calculate a(g(i)).\nAnswer: -180*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-22))\/(-36)*-4*3\/(-232).\nAnswer: 1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 1188*b**3 - b**2 + 3795*b**3 - 1309*b**3 + 2*b**2 - 1302*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 30 = 30. Let v(a) = -104527*a - 21 - 20 + 104526*a. Calculate v(o).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((-3)\/(-1) + 6 + -48117). Let w be (-21)\/(-35) - (r\/5 - 1). Round w to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmim when four letters picked without replacement from mqmqmqmqmmimmiqqqm?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6746158 and 12318?\nAnswer: 4106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 3)*(-5 + 2*d + 5).\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102 (base 3) to base 15.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167160.72ns to minutes.\nAnswer: 0.000002786012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 37 + 58 = 0. Let v = 51 + q. Calculate the remainder when 41 is divided by (-1 - 1) + v\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78040, -156129, -234256, -312421, -390624, -468865, -547144?\nAnswer: -625461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 14*r - r**3 + 0*r - 3*r - 4*r + 5. Let z = 249 + -241. What is w(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-21)*(13612\/(-1312) - (-14 - -2))\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 166*a + 5. Let v(m) = -111*m - 3. Determine 5*s(q) + 7*v(q).\nAnswer: 53*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-18)\/6)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 5 + 5)*(-3 + 0 + 2)*(7 - 8 + 8) as c*v + f and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -185*x + 2 - 4 + 4. Let j be q(-5). Suppose -5*n = -1088 - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1224\/7, -163 in decreasing order.\nAnswer: 3, -163, -1224\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 4:02 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/58 and 67\/14?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r + 32. Let g be q(-13). Let n = g + 167. Suppose 13*f = 18*f - n. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24871395 is divided by 731511?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 23 - 23 + (-4 + 2 + 1)*(-3*o + 4*o + 0*o))*(-2 + 2 - o**2).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c = 36. Suppose 0*r - c = -4*r + 2*q, r - 3*q = 17. Suppose -4*g + 12 = -16. Solve -r*d + g = -3*j, -d - 4*d - 40 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 20*k + 12. Calculate m(-16).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 - 45 + 6*n)*((-1 + 3 - 3)*(0 + 4 - 2) + 1299 - 757 - 686) as y + v*n and give v.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 - 3570*z**2 - 21280*z - 28320 = 0. Calculate z.\nAnswer: -708, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2, -20, -56, -116, -206, -332, -500, -716?\n\"Answer: -y**3 - 3*y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:30 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21163, 23009, 24855?\n\"Answer: 1846*g + 19317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1539)*-1 - (-1 + sqrt(1539) + sqrt(1539)*1))**2 - (2*sqrt(38)*-6)\/(sqrt(242) - 2*sqrt(242) - sqrt(242)).\nAnswer: -6*sqrt(19)\/11 + 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(0 + -11)*(29 - 28). Suppose t*x + 2*c = 7*x - 102, 4*x + 5*c = -111. Let b be x\/12 - (-2 + -12). Solve 2*p - b = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 182.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2*x - x)*(0*x - 2*x + 0*x) + x**2 + x**2 + 0*x**2 + 7*x + 25*x**2 - 7*x.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -49.04308\nAnswer: -48.74308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7425662, 29702571, 66830752, 118810205, 185640930?\n\"Answer: 7425636*u**2 + u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1597122 and 9316545?\nAnswer: 55899270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 2, l: 4}. Give prob of sequence ppl.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.3 - -11.4. What is the nearest to d in -4, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**4 - b**4 + b**3 - 5416195*b**2 + b + 5416195*b**2 + 1 to w*b + l*b**3 + s*b**2 + v + n*b**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 9*z**2 - 5*z - 5. Let n = 0 + -9. Let l be v(n). Suppose -i - 4*i + l = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*0\/1)\/2. Differentiate r*p**2 + 2 + 3*p**2 - 5*p**2 with respect to p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*i - 11 + 6*i - 89*i - 27*i**2 to the form c*i**2 + s*i + u and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/24)\/((-2)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(4*d**2 + d**2 + 0*d**2) + 0*d**2 - 5*d**2 + d**2)*(-31 + 31 - 5*d**3).\nAnswer: 70*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368466 is divided by 1184230.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.5 + 33. What is the biggest value in -1, 34, m?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40091*y**3 - 2*y**2 + 5502?\nAnswer: 240546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -96*c - 14304. Does 3 divide a(-192)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = -3. Suppose -21 + f = 5*c, -2*r + 2 = -2*c. Let q(z) = -z**2 - z + 7. Let t be q(r). What is the highest common factor of t and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.152 - 103.152. Let o = -722.7 + 832. Let c = t + o. Round c to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 5*v**2 + 3*v + 4. Let f be j(-4). Let k(w) = 4*w**2 - 7*w - 1. Let g be k(f). Round g to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 9:34 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 2.2 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 + 2. Let j = 26 - 21. Let c = -53\/2 - -26. What is the closest to c in d, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a factor of 146360648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 2. Suppose -3*n - 180 = 3*t, 8*n = 5*t + 4*n + 327. Let z be 1 - (-4)\/(-3) - t\/27. Give u(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Let k = 4 - u. Let m be 2\/6*24\/4. Solve -4*a = -2*o - o - k, 0 = -m*a + o - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 2853*s**3 + 4*s - 457*s**3 + 4386*s**3.\nAnswer: 6782*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 657 and 194517.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-5)\/(10\/(-36)). Suppose 2*g = 7*g + d. Suppose 0 = 3*f + 5*v + 2, 5*v = 4*f - 5 - 4. Put f, g, -5 in ascending order.\nAnswer: -5, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, a: 3, c: 3, s: 1, m: 1, k: 4}. Give prob of sequence ccs.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b + 1. Let w be m(1). Suppose 0 = -5*n - 96 - 144. Let c be (-2)\/(n\/(-15))*4. What is the second smallest value in 2, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4468 * -0.12\nAnswer: -536.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 817*v = 821*v - 1724. Suppose 37*t = 5*i + 33*t - 2110, -t + v = i. List the prime factors of i.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x*x**1*(x\/(x\/(x\/((x\/(x\/(x*x*x**8)*x))\/x))))\/(x\/x**(-10\/9)))**20 assuming x is positive.\nAnswer: x**(-2180\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*k**2 + 28*k - 28*k + k**2 + k**2 - k**2 - k**2 - 3*k**2 + 2*k**2 + (-2*k**2 - 2*k**2 + 3*k**2)*(-1 + 2 + 1).\nAnswer: 53*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168226 and 9553?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -107*m + 446. List the prime factors of x(-8).\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268080311 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 43215.\nAnswer: 43215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31653044971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.618 + 8.7. Let o = v + -69.082. Let z = 68.999999973 + o. Round z to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5056*p = -5052*p - 5020. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 2:44 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/(4\/60). Let j = -24 + 27. Suppose 2*z - j*p - 16 = 0, -4*z + 2*p - 8 = -c*z. Solve 3*u = u + z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 19*r + 36. Let f be p(-11). Let d be 1\/f - (5523\/(-9) + -1). Round d to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q - 71. Suppose -11 - 45 = -7*o. Let d be n(o). Solve -4*z + d = -3*m - 10, 16 = 2*m + 2*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+16744\nAnswer: 16744.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 37*k - 12. Is d(36) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - ((34 - 60) + 30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0710821 * -5.\nAnswer: 0.3554105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1618468 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-9))\/((-1)\/(-15)). Let q = t - -69. What is the remainder when q is divided by (1 + 0)*(30 + -10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19201, -38542, -57867, -77176, -96469, -115746, -135007?\n\"Answer: 8*t**2 - 19365*t + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 16*r + 36 = -s, 12*s + s + 3241*r = 3245*r + 44 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -49\/132*i**4 - 8\/11*i**2 + 16 + 28\/33*i**3 - i. Factor q(g).\nAnswer: -(7*g - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15996*d + 3355*d + 1535*d to the form w + r*d and give r.\nAnswer: -11106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013428 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -9*(-12)\/18. Suppose 58 = -4*u - j*l, 5*l - 16 = 4*u + 58. What is the common denominator of 107\/6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 569864463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*i + 2 - 118*i - 97*i - 2.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 26 in decreasing order.\nAnswer: 26, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*c - 16 = 146*c. Let b(o) = -3*o**2 - 16*o. Let r(n) = 8*n**2 + 44*n. Let w(f) = c*r(f) + 11*b(f). Let k(p) = p**2 - 4*p. Calculate k(w(v)).\nAnswer: v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 - 5*u + 3. Suppose 34749 - 11379 = 5*m. Let c = m + -18785\/4. Calculate the common denominator of c and o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0905915 - -0.2?\nAnswer: 0.1094085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 187651*k**2 - 33*k - 20. Let a be v(-9). Suppose -2*u = -3*o - 2*o + a, -3*o - u = -9119996. Round o to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*m**2 - 2 - 17*m**2 - 20*m**2 - 26*m**2 in the form x*m + a*m**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 2. Let g(i) = 2*i. Let l be g(1). Let v be u(l). Let p = -43\/2 + 22. Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1603 - -1596. Let r(o) = o**2 - 4*o - 23. Give r(l).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 3*a + 8, 887 = 5*b + 2*a + 889 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v. Let x(o) = -69*o - 1. Give x(l(t)).\nAnswer: -207*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20695754 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 z = 2 + -4. Let u(j) = -j**2 - 12*j - 7. Let v be u(-10). Let p = v + -10. Sort 2, p, z in increasing order.\nAnswer: z, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378387, -756818, -1135247, -1513674, -1892099?\nAnswer: -2270522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 8963805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3669 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let o(k) = -52*k**2 - 16*k - 5. Let u(w) = -o(w) + y(w). Find the second derivative of u(n) wrt n.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 51*g**2 - 79*g - 15. Calculate i(50).\nAnswer: -1465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 37.94881.\nAnswer: -75.89762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.795 - 1.695. What is the closest to -1\/2 in 1, -3, c, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l + 1. Let o(b) be the third derivative of b**5\/10 - b**4\/12 + 5*b**3\/6 + 7*b**2 + 37*b. Calculate 4*f(r) - o(r).\nAnswer: -2*r**2 + 6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1 - sqrt(77))\/sqrt(11) + 3)*2.\nAnswer: -4*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8118, 0, 4 in decreasing order.\nAnswer: 4, 0, -8118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/a**(2\/3)*(a**(-2\/5))**(-2\/13) assuming a is positive.\nAnswer: a**(-313\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 17 - -42 - 24 - -25.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*w - 105, 3*w + 3 = d - 107. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1008) + -1)*1 - (-4 + 2*(1 + sqrt(567))))**2.\nAnswer: 12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -134099 divided by 8?\nAnswer: -134099\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -873 + 1621. List the prime factors of o.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-18)*(-5472)\/(-342)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5238 and 284210?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -6, 16, -13\/29?\nAnswer: -13\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 488460333, 488460332, 488460331, 488460330, 488460329?\n\"Answer: -h + 488460334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641078 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5439*g. Let n(y) = -10*y. Determine n(f(a)).\nAnswer: 54390*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-36)\/20)\/((-8)\/15) and (3 - -2 - 0)*(-437)\/46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 5 = -19. Suppose 3*o - 2 = -5*i, -o + 1 - 3 = -i. Solve i = -x*g + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-3))\/((-145)\/(-87)). Calculate the remainder when 274 is divided by ((-134)\/(-5))\/y*(12 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 1:20 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 16*t**2 - 29*t + 31. Determine z(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 0*q = 3*q + 14, 5*a + 2*q = 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*((-620)\/31)\/4)\/(5\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 15, 2, 0.1775?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66651 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89012)\/9537*12*(-4)\/(-28).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a. Suppose 68 + 9 = u. Suppose -m = -4*m + 231. Let t(j) = -m + 5*j + u. What is t(f(c))?\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.7731 to zero dps.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.3 - -4.4. Let l = u - -23.9. Let s = -12 + 32\/3. Which is the closest to -2\/5? (a) s (b) 2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, i: 5}. Give prob of sequence ifii.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 670171 and 658132?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 0)\/(0 + -1). Let p = 5 + v. Suppose 0*m = p*m - 26. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, 5, -2, -28, -1, 19, 6 in increasing order.\nAnswer: -28, -2, -1, -3\/14, 5, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29714311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -501454 divided by 5\nAnswer: -501454\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 335 and 804.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**3 - 284*b**2 - 4744*b + 10656 = 0 for b.\nAnswer: -37, -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) 3\/7 (c) 3\/4 (d) -2\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let n(y) = -73*y - 26. Let m(t) = -4*g(t) + n(t). Let b(o) = -2*o. What is b(m(q))?\nAnswer: 138*q + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -32075287.3 to the nearest ten thousand.\nAnswer: -32080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*t + 2715 = -163*t - 134*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29392, 58786, 88180, 117574, 146968?\n\"Answer: 29394*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.11 - 13.71. Let m = -12.8 - p. Which is smaller: 145 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 1541094 + 501906. What is b rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 56 + 37*u**2 - 50.\nAnswer: 37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -629*l**6\/3 - l**3\/3 - 256*l**2 - 4051. What is the second derivative of w(f) wrt f?\nAnswer: -25160*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 125.1. Which is the nearest to -1\/4? (a) x (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.816 - 0.064. Let b = a - -0.18. Let i = -1.667 - b. What is i rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - -16 - 2) - (40 + -46).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25549\/76653 - 2\/76653. What is the fourth biggest value in 1\/10, -1\/17, x, -17, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130200 (base 6) to base 8\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*x - 715 - 4399 = 2266 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 102 = t, -110106*t - 2*m - 122 = -110103*t for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24453, -24450, -24445, -24438, -24429, -24418?\nAnswer: -24405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -13*l**7\/7 + 5*l**3\/3 - 16. What is the third derivative of n(g) wrt g?\nAnswer: -1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3342 by 557.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26366?\nAnswer: 2, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 2*f + 34. Let r(u) = 3*u**2 - 2*u + 34. Let a(p) = 3*j(p) - 2*r(p). What is the first derivative of a(b) wrt b?\nAnswer: 6*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 5. Calculate k(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 1, -28\/3, 2\/7 in descending order.\nAnswer: 1, 2\/7, -4\/9, -28\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 14, -4, 14\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -15. Which is the nearest to w? (a) 5 (b) -5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 23. Give h(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 93.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*a**4 + 13855*a**2 + 2744318*a wrt a.\nAnswer: -1020*a**2 + 27710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-205138)\/436 - -468)\/(7\/2*(-1 - -2))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 3a7?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17 + (-25 - -15) + (-9 - -1). Let r be (4 - 3)\/(7\/6). Which is the nearest to z? (a) -8 (b) -4\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Let h(f) = 2444*f**2 - 21*f + 3. Let p(n) = 21996*n**2 - 196*n + 28. Let j(g) = 28*h(g) - 3*p(g). Determine j(l(u)).\nAnswer: 9776*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4749*s = 4747*s - p - 4, 0 = 5*s + 5*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4 = 0, -5*t - 5336*m = -5337*m - 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 398, 373, 348, 323?\n\"Answer: -25*r + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131593*d**2 + 511836*d + 1.\nAnswer: 263186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 202154*z. Let x(a) = 26*a + 43. Give x(f(m)).\nAnswer: 5256004*m + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4, 215, -28, 1.\nAnswer: -36, -28, -4, 1, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -20*h**2 + 3 + h**3 - 22*h**2 + 25*h**2 + 16*h. Let c be a(16). Suppose -2*v - 2*q + 242 = 0, 851 = 5*v - c*q + 262. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:56 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -1 - 5. Suppose -5*l = -v*i, 4*l = -i - i. Suppose i = -3*w + 4*q - 8, 3*w + 5*q = -0*w + 37. Calculate the smallest common multiple of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2266, 2262, 2258, 2254, 2250, 2246?\nAnswer: 2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 35. Suppose -5*p = -v, 0 = -4*h + p - 0*p + 1176. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/51 - 151\/2499. What is the fourth biggest value in 0.3, -0.2, g, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 10*f - 29. Let i be (f\/((-15)\/20))\/((-2)\/72). Let m = 268 - i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 11\/(924\/(-686)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -404 - -480. What is the highest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((-161)\/1610)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -99, 3 in descending order.\nAnswer: 3, -0.1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(2448) + 0)**2).\nAnswer: 12230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 2324*f**2 - 2318*f + 4644.\nAnswer: -2*(f - 1)*(f + 2)*(f + 1161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 18 + 3*c - 5 - 3*c.\nAnswer: -c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-10) - (-88)\/40. Factor 36*l**t + 2*l**5 - l - 531*l**4 - 40*l**2 + 17*l + 517*l**4.\nAnswer: 2*l*(l - 2)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/120 - 7*o**5\/60 - o**4\/4 + 4*o**3\/3 - 55*o**2 + o. What is c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 868417660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 1. Let p(s) = 3*s + 4. Let f(y) = 13*y**2 - y + 1. Let q be f(1). Let z = q - 6. Suppose 0 = 2*d + 21 - z. Determine d*h(c) - 2*p(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 15*w - 2. Determine g(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 4*j**2 - 5*j)*(7*j**2 - j**2 - j**2) in the form m + p*j**2 + z*j**3 + x*j + o*j**4 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2254 is divided by 207.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*t - 8, -5*c + 2*t + 10 = -0*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 15*m + 37. Let r be d(-6). Let t = 670 - r. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 451 = -2*i - 4*j, -2*j = 3*i - 674. Let g be (i\/(-2))\/2 - (9 + -6). Let b = -60 - g. Which is greater: 1\/10 or b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/140*227 - -8)*(-399)\/(-38)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/sqrt(112) + sqrt(7)*2 + -3 + 3*(0 + sqrt(7)) + 5 + -2*sqrt(7).\nAnswer: 2 + 13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*(-15)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1456\/(-208))\/(4\/2)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 32. Let w(t) = 20*t + 208. Determine -32*p(r) + 5*w(r).\nAnswer: 4*r + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -2, -4, -64, 5 in increasing order.\nAnswer: -64, -59, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-25 - -13) - 77.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:51 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 150, 301, 454, 609, 766, 925, 1086?\n\"Answer: r**2 + 148*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 13*i**2. Let h(d) = -9*d**2 + 11*d - 33. Let a(u) = -5*u**2 + 6*u - 18. Let q(w) = -11*a(w) + 6*h(w). What is q(b(n))?\nAnswer: 169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 72999225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32439 (base 10) to base 15.\nAnswer: 9929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 5*a + 4*l, 3*l + 9 = -6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1. Let d(q) = -q - 2. Let u(k) = -d(k) - 2*o(k). Let b(h) = 3*h + 0*h - 2*h. Determine b(u(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1302 - 1303. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 2. Let f be v(6). Sort 6, 2, f.\nAnswer: f, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:13 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 2*k + 124. Give b(11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111924873, 111924869, 111924865, 111924861, 111924857, 111924853?\nAnswer: 111924849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 201621, 403243, 604865?\n\"Answer: 201622*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 711541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 31491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 612 - 612.1. Let j = 4.8 - 5. Which is the closest to s? (a) j (b) -2 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z + 35*z = 546 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 31*d**2 - 324. Determine h(0).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = 5*o. Suppose n = -n - g, -3*n + 1 = g. Calculate the remainder when (-2)\/(-4) - (-5 - n\/2) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fftftfft.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 28. Let a(z) = 300052*z + z**2 - 300052*z. Determine a(w(b)).\nAnswer: b**4 + 56*b**2 + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6289 - 5898. Is 2 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801594259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/24)\/((-1)\/18*2). Suppose n*v - l = 116, -v - 4*v + 188 = l. Let h = v - 26. What is the remainder when 46 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 + 9 - 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 5. Let f be l(-7). Let r be f\/(-15) - (-160)\/(-25). Is r <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15281054 + 23457681. Suppose 32*u + g - 186096627 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, 80, 0.2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 2 - 3) + 4. Solve 4*n + t - 2 + 0 = 0, 2*n + u = 2*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -87, -42, 43, 180, 381, 658?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 14951.\nAnswer: -1495.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 390 (c) -0.4 (d) -10 (e) 20 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 110 - z**2 + 31.\nAnswer: -z**2 + 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3767 + 3773. Solve -6*d = 2*d + k*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -21*m - 5. Let o(t) = -46*t**2. What is o(n(g))?\nAnswer: -20286*g**2 - 9660*g - 1150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27704 and 384393.\nAnswer: 3075144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0 + 1\/9*v**3 + 0*v**2 - 1\/60*v**5 + 12*v + 1\/36*v**4. Determine f so that s(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w - 32 + 0*w**2 + 33\/4*w**4 - 7*w**3. Find the third derivative of i(c) wrt c.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -132\/7 (b) -0.5 (c) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 75, 0.03, -3\/4, -0.3?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 92*i + 2011. Let d be z(57). Solve 2*a = -2*m - d, 2*m + 3*m + 12 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d**4\/5 + 507*d**3\/5 + 212*d**2\/5 - 804*d\/5 - 16\/5 = 0.\nAnswer: -4, -2, -2\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*w + 11, -5*w + 11 = -5*a - 4. Let p(n) = 3*n**3 + 3*n**2 + 3. Let g(d) = -2*d**2 + 1 + d**2 + d**3 + 2*d**2. What is w*g(s) - 2*p(s)?\nAnswer: -2*s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159552685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (7*(-14)\/588)\/((-2)\/60)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5048269672 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328 = -27*u + 1112 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 9:45 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 89 = z, -5*z - 3*c + 8*c + 395 = 0. Suppose -2*b = u - z, 3*b = 7*b - 4*u - 168. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) + 0 - sqrt(3)) + ((-1 + sqrt(192) - sqrt(192))**2 - sqrt(192)) + sqrt(27)*6 + sqrt(75)*1.\nAnswer: 6 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -31.07. What is the closest to 1 in -3, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 10539.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -101200?\nAnswer: -101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/26 - 59668\/(-364). What is the greatest common factor of 123 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 0 + sqrt(2) + 1 - sqrt(2)) + 3*(sqrt(8)\/sqrt(4))**2 - (sqrt(50) + sqrt(600)\/sqrt(192)).\nAnswer: -21*sqrt(2)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101126 or -2932650\/29?\nAnswer: -2932650\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257 - 252. Let f(i) be the third derivative of 0*i - 5*i**2 + 0*i**4 + 0*i**a + 1\/84*i**8 + 0 + 0*i**3 + 0*i**7 + 0*i**6. Factor f(z).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 273.7503\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 2503853?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -208. What is the second smallest value in 0.08, -5, u?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 153425962*r. Let i(g) = -4*g. Determine i(z(q)).\nAnswer: -613703848*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 6 - 2 + 11.\nAnswer: -4*b**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 = 122\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260028, -260031, -260034, -260037?\nAnswer: -260040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d - 1. Let n(p) = 7*p**3 + 4*p**2 + 5*p - 6. Let z(y) = -6*g(y) + n(y). Does 12 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223672924.\nAnswer: 2, 509, 109859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57901018 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-10)*(-19 + 1). Let l = v - -13. What is the highest common divisor of l and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46252?\nAnswer: 2, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67\/4 - 17. Let g = -18 + 53\/3. Let l = 2 + -1.8. What is the closest to g in -0.5, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - 49 - 18\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180340 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 5, 20109 in descending order.\nAnswer: 20109, 5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 1. Let o(m) = 1. Let r(u) = -o(u) - x(u). Let l(c) = -35*c. Determine r(l(v)).\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-315 + 102 - 96)*((5*q + q - q)*(5 - 1 - 1) + 0*q - 4*q + 6*q) to u + n*q and give n.\nAnswer: -5253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, t: 1, b: 1, a: 1}. Give prob of sequence ttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295322800.\nAnswer: 2, 5, 167, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.173 - -0.373. Let f = 12.8 + 2.2. Let u = f + m. Which is the nearest to -1\/4? (a) 5 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1253, 1261, 1285, 1325, 1381, 1453, 1541?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 0 (b) -32 (c) -754\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(57)*-3)\/(sqrt(12)*-6).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 10250 + 20*j - 10205 + 30658 - 10203.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cccccococcccccccccc.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*z = 10, -2*z = 2*d + 3*z - 25. Let v be ((-3)\/18 - 0) + d. Sort -1\/3, v, -0.1, 5\/3.\nAnswer: -1\/3, v, -0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2. Let i = 5 + -2. Let s(c) = c - 2. Let h(p) = i*s(p) + 2*a(p). Let u be h(4). Solve 3*z + u = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(35)*-4)\/sqrt(7) - sqrt(160)\/sqrt(2)*-3.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 2*t - 1. Calculate m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 6. Let n be h(-5). Is n equal to -9\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 14*l + 48. Let y be p(4). What is the greatest common factor of 68 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15193 and 8?\nAnswer: 121544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(540\/(-153)) + ((-160)\/15 - -12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1582736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*z + 47. Suppose 338 = z*j - 5*j + n, -94 = -j - 5*n. Suppose j = 3*b - 132. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 9. Suppose -2*a - 4 = 3*g - a, -2*a = -4*g + 8. Let y be j(g). Let i be (3\/y)\/(2\/6). Put i, 0.4, 2\/11 in descending order.\nAnswer: i, 0.4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 239 - 12*h - 16*h + 59723*h**2.\nAnswer: 59723*h**2 - 28*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((216\/15)\/(-4))\/((-417)\/1390)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419232621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 j, and 1 v when four letters picked without replacement from ljflflfffvjjflfl.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 1 - 1)*(-6 + 4 + 4) - 4*o - o + 3*o + 7*o - 3 + 3 + 5*o - o - o - 2 + 2*o + 2 + (2*o + 0*o - o)*(1 + 1 - 1) to the form y + q*o and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-6)\/2)\/(-3)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36707, -73396, -110085?\n\"Answer: -36689*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Let g = r + -8. Is (145 - (-1 - -3)) + g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24227664 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*i + 201 - 201 to r + x*i and give x.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 69 = 447. Suppose 3*v + 18 = t. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 74773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 - -1.8. Are -10 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/7 - 5*l - 99\/7.\nAnswer: (l - 11)*(4*l + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*r = -87, z - 4*r - 31 = -r. Is 12 a factor of (-313)\/(-7) + 8\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + 0 + 5 + -5 + (sqrt(3) - 4*-1*sqrt(3)))*-6.\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 133729, 2 in ascending order.\nAnswer: 2, 5, 133729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2aa65?\nAnswer: 2aa67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + 49*o + 320. Calculate k(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m - m + 2*y, 0 = -4*m + 3*y - 3. Suppose -5*k = 15, 0 = -j - m*k - k + 10. Calculate the greatest common factor of 77 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 48 = 3*q, 202*q + 36 = 201*q - 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 9 - (-26 + 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*d = 19 + 27, 4*c + 4*d - 60 = 0. List the prime factors of 41 - 1 - (-17 + c).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 10*z - 7. Let n be o(-5). Solve -n*i = -44*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 507, -8\/15, -3?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -49, -47, -43, -37, -29, -19?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, -2142, 3 in ascending order.\nAnswer: -2142, 3, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 f when three letters picked without replacement from xoppufw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3462 and 109100314?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3545 + -3468. What is the remainder when 629 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 10\/1377 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8169 divided by 1167\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8527253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/5 + 906944*y + 18138720 = 0. What is y?\nAnswer: -2267340, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2850 and 54525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (4 + -1)*-1. Let y(u) = u + 10. Let s be y(w). Let b(g) = 0*g + 2*g**2 - g**s - 8 - 4*g + 3. Give b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 916 divide 531367936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329912 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, -31, -152, -395, -802, -1415, -2276?\n\"Answer: -7*x**3 + 2*x**2 + 2*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-345)\/(-1495)*(-1)\/(-9). Let n be ((-460)\/(-26))\/(0 + -12). Let v = n - m. What is the third biggest value in 0.2, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 272 and 80?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6489410, -12978815, -19468220, -25957625, -32447030?\n\"Answer: -6489405*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 1, -85.\nAnswer: -85, -3, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z - 60*z - 3984 = 0. Let s = z - -4490\/9. Factor -2\/9*p**3 - 10\/9*p - s*p**2 - 4\/9.\nAnswer: -2*(p + 1)**2*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:56 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 465882193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2140571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12928 - 56b?\nAnswer: -13196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 109. Let f be l(35). Suppose f*a = 98 + 454. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/7 + 2616*z**4\/7 - 813340*z**3\/7 - 12626960*z**2\/7 - 7657614*z - 5970328 = 0.\nAnswer: -7, -1, 556, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227 + -3.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -97257 and -0.5?\nAnswer: 97256.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-20988)\/(-11130)*5\/(-2). Let w = -78079\/80 + 976. Is w at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21769487 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/32 of a meter in micrometers?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*j + 135*j - 44 = 0. What is the lowest common multiple of j and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3408*c**5 + 6633*c**2?\nAnswer: -204480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59165.4143488 + -444?\nAnswer: 58721.4143488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q - 7*q**3 + 8*q + 2*q**3 - 4*q**3 + q**3 + (0*q - q + 3*q)*(q - q - 2*q**2) + (q - 5*q + 3*q)*(3*q - 4*q**2 - 3*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-30)\/((-12)\/(-4)). Let y(p) = -2*p + 3*p - 2*p + 10. What is the units digit of y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 7 - 7)*(-8 - 7*b + 8) - 2*b**2 - b**2 + b**2 to the form z*b**2 + f*b + m and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 19 = 2*a - a, s - 67 = 5*a. Let f = 13 + a. Solve 3*w = -5*b - 31, -b + 1 = -3*w - f*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2*3\/(-6)). Suppose k*d - 3*t = -d + 20, -5*d + 2*t + 61 = 0. Suppose 1 = -5*s + d. Sort s, -5, 0 in descending order.\nAnswer: s, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-3))\/(-11 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -40. Let t(g) = 3*g - 2. Let b(z) = -z + 1. Let l(h) = p*b(h) - t(h). Let n(q) be the first derivative of 11*q**2\/2 - 13. What is l(n(o))?\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11187*l + 146. Calculate r(0).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1370 - 1362.41. Let x = y + -7.153. What is x rounded to two decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 10*c**2 + c - 5. Let t be i(10). Is -58*(t\/(-2) - -2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178599 by 5.\nAnswer: -178599\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*r + 290*r - 140 = 109*r. Suppose -3*g - h = -11, 5*g + 2*h - 9 - 8 = 0. Sort 0, r, -9, g in descending order.\nAnswer: g, r, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -220*u**3 - 82*u**2 - 4*u. Let a(c) = 74*c**3 + 27*c**2 + c. Let p(h) = 7*a(h) + 2*d(h). What is the third derivative of p(m) wrt m?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 + -225.6. Sort 0.18, -12, m in increasing order.\nAnswer: -12, 0.18, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**2 + 217*d + 2. Let u(p) = -6*p**2 - 108*p - 1. Give -2*a(m) - 5*u(m).\nAnswer: 2*m**2 + 106*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 1, o: 3, x: 9, a: 2, n: 1}. Give prob of picking 1 o, 2 i, and 1 f.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1365 - 0.1365. What is the nearest to -0.2 in 1, d, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**7*t**(-7)\/t*t*t**(1\/5)*t**(-3)\/t*t assuming t is positive.\nAnswer: t**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 108 + 152 - 372 + 112.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/1440 + 7*a**5\/60 - 49*a**4\/6 - 34*a**3\/3 - 81*a**2. Let o(h) be the first derivative of c(h). Factor o(z).\nAnswer: -(z - 28)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - -1)\/1)\/(-2). Suppose o + 1 + 29 = n. Let h = o + 35. Solve 9 = -h*u - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 0 + 1 + 48 + -146 + 107?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 47, 51?\n\"Answer: 4*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -4, 1, 0 in decreasing order.\nAnswer: 35, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -3332031?\nAnswer: -3332014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blvvbvvl. What is prob of picking 2 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -114?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7260431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 2 + 2 + (2*g - 3*g + 2*g)*(-3*g + 2*g + 3*g) + 372*g**2 + 458*g**2 - 105*g**2.\nAnswer: 728*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 183*m - 1286. Let o be d(7). Let x(w) = 12*w + 26. Determine x(o).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/4 or 11156.4?\nAnswer: 11156.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = 0. Let n = -27 - -23. What is the closest to z in -1\/10, n, -0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131408 divided by -8213?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -8*h**2 - 13*h - 33. Suppose 4*x - 8*x - 5*s + 1 = 0, -17 = -2*x + 3*s. Let w(v) = -10*v**2 - 12*v - 34. Let z(y) = x*a(y) - 3*w(y). Factor z(r).\nAnswer: -2*(r + 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 11) + 2 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-104)*-1)\/((-18574)\/(-296) + -63)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44565360 divided by -647?\nAnswer: -68880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 3*h + 2*h)*(-3*h + 5*h + h)*(2*h - h + 0*h).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -26*f - 1973. Let i be p(-76). Which is the fourth smallest value? (a) i (b) 5 (c) 9 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t - 9. Suppose 2*c - 110 = -t*c. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 - 2*j - 2. Let v be o(5). Let s = 10 - v. Sort -6, s, 5 in increasing order.\nAnswer: -6, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 42 = -2*o, 5*u - 11 = 5*o - 4*o. Let y = 32 - o. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0*s**2 + 0*s**4 + 1\/10*s**6 + 0 + 39*s + 0*s**5 + 13\/3*s**3. Find the second derivative of k(a) wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -687*n + 340*n + 342*n - 55 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 280 = -0*s. Let q(d) = s*d + 71*d - 138*d - 5 - d**2. Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 12*n**2 + 13*n - 4. Let b be a(-13). Let t = 10 + b. Is 4\/t - 679\/(-21) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76849704 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*o = -585*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/9 (c) -43\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 13\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Suppose d + 2*b - 2 = 3*d, 4*d - b - 5 = 0. Let y(a) be the first derivative of 4*a**3 - a**d + a**2 - 5*a**3 + 5. What is w(y(f))?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.9 + -2.9. Let j = 30 - r. What is the closest to j in -2, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2539851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -291 - -296. Suppose -5*k + 23 = 2*u, -4*k + u = -z*k + 4. Is k at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6) + -2)*-3. Suppose -12 + 0 = -p*b. What is the units digit of (1 - b)\/((-1)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 394, 380, 366, 352, 338?\n\"Answer: -14*z + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 3\/4 (c) -0.4 (d) -143.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*d - 33 = 0, d = -5*b + 24 + 17. Calculate the smallest common multiple of 27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 + 31*z - 54)*(4*z - 3*z + 6*z)*(0 - 4 + 3) in the form x*z**2 + n + f*z and give x.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6357 is divided by 319?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.035 + 0.035. Let r = p - -43.72. Round r to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092488173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/8 + (-5)\/(-2). Let r be -8*(3 + (-174)\/48 + 0). Suppose -r*c = -h*c - 2*y - 132, 4 = -4*y. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-1*1)**2 - (sqrt(100)\/sqrt(5) - -5*(sqrt(5) + -1))**2.\nAnswer: -225 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 0*g**5 + 3*g**5 + (g**4 + 0*g**4 + g**4)*(0*g + 0*g - 2*g) - 2*g**5 + 235 + g**2 - 357 + 4*g**5.\nAnswer: -g**5 + g**2 - 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*d - 5*k - 7, -4*k - 16 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 146694 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143275 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.00818 - -0.00818. Sort 7.6, u, -3 in decreasing order.\nAnswer: 7.6, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, 26 in descending order.\nAnswer: 26, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 354 + 352 = -2*j, j - 10 = -5*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(2*g**3 - 4*g**3 + 0*g**3) + (g**2 + 4*g**2 - 3*g**2)*(0*g - 2*g + 0*g))*(-4*g - 3*g + 2*g).\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248814.0299 + -250846.94. Let c = 2033 + n. What is c rounded to three dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + p)*(68*p - 60 + 60)*(3 - 5 + 1)*(286*p - 6*p - 37*p) in the form x*p + o*p**2 + k + j*p**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(3*(-4)\/372) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 32*m**2 - 32*m + 40. Let o be s(-17). Let k be (4\/141)\/(o\/9). Sort k, 6\/5, 4 in ascending order.\nAnswer: k, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 1, f: 1, i: 3}. What is prob of picking 1 p, 2 f, and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*v - 222*v = 122*v + 11330 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*y**2 + 390*y**2 - 196*y**2 + 0*y**3 + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -1)*(-152)\/(-1140) + -5 + 10.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.89 + -7.39. What is the smallest value in -2, -5, -2\/125, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 343, -36, 2, 16, -2 in increasing order.\nAnswer: -36, -2, 2, 16, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -69, -139, -221, -321, -445, -599, -789?\n\"Answer: -w**3 - 63*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1101*v**2 + 953*v**2 - 740*v**2)*(-6*v**2 + 0*v**2 + 4*v**2) to the form o*v**4 + i*v + h + f*v**2 + z*v**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-10))\/((-1)\/(6\/1)). Let j = -1 - g. Calculate the greatest common factor of j and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 31\nAnswer: -15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (104\/24 + (-2)\/6 - -4) + -8. Solve 12*l - 96 = -x for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + -1*((5 + sqrt(44))**2 - sqrt(11)) + ((1 + sqrt(99))*-2)**2 + -4.\nAnswer: 5*sqrt(11) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -3. Suppose 4*p + s = 2*g - 32, 0 = -3*g - 4*p + 91. Let d = g + -14. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 4*g**2 + 85*g + 7. What is the units digit of w(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 0.5 (b) 129 (c) -4\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2) + (sqrt(2) + 3)**2)*1 + -2) + (-3*sqrt(14)\/sqrt(7) + sqrt(2) + sqrt(2)*-2*5 + sqrt(2))**2.\nAnswer: -14*sqrt(2) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5321 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216 (base 11) to base 7.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 8*l**2 + 8*l - 12. Let a be z(-9). Let y(q) = -q + 1. Let u be y(a). Solve 2*s + u = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -4 + -1 - ((-83 - 1) + 3) and 168.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 39*l + 2776. Let z(u) = 16*u + 1390. Calculate -2*q(f) + 5*z(f).\nAnswer: 2*f + 1398","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.821 - 12.2. Let x = -29 + 28.979. Let o = s + x. Which is the third biggest value? (a) o (b) -2\/7 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.01324 to one dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-4 - 0) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((12 - -38) + -39).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j + 18. Let q be a(0). Let z(i) = 3*i**2 + 2*i + 99. Let c be z(0). Calculate the highest common divisor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 18, -22, -3, -42 in increasing order.\nAnswer: -42, -22, -6, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/2 - 98*k**3\/3 + 33*k**2 + 37026*k - 4227. Factor l(s).\nAnswer: -2*(s - 17)*(s + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*f - 1616, 5*n - 188 = 4*f + 2456. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 6:10 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86b76 (base 12) to base 16.\nAnswer: 2b70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + (-29)\/(-3). Suppose 18 = 2437*w - 2443*w. Let z be 2 + w\/(x\/(-3)). Solve 2*p + z = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29.8 and 0.2992 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3998\/7? (a) 0.5 (b) 1 (c) 0 (d) 9 (e) 5 (f) -1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -17 + 33 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*h - 362*h - 163*h - 7*h)*(-h - 22 + 22) in the form w*h**2 + i*h + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.08, -4\/5, -0.5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*j + 4*y = -84*j + 8, 5*j + 3*y = -17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713*z - 1580*z = -1022*z - 142426 - 23357 for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 - -230. Let g = -53 + f. Let h(y) = 3*y. Calculate the remainder when g is divided by h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 861471 by 1791.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2399*h**2 - 1187.\nAnswer: -4798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 less than -0.1?\nAnswer: -814.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:40 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i - 2. Let k(y) = -y - 2. Let s(d) = 6*a(d) - 11*k(d). What is s(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48 + -d1?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44389 = -1377*n + 12979 + 6624 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 262.\nAnswer: 4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 390275*k**3 - 4*k + 112273*k**3.\nAnswer: -278002*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.01959 milliseconds to microseconds.\nAnswer: 39019.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t. Suppose 6*n - 10 = n. Suppose -4*j - 24 = -4*m, n*m = -0*m + j + 9. Let v(z) = -z - 4*z + m*z + 0*z. Determine u(v(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18623 + 18623.000049312. Round p to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*x**2 + 7240*x - 6438*x + 19860*x.\nAnswer: -2*x**2 + 20662*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 + 3*l**3 - 4*l**3)*(1 + 0 + 1) - 7920*l**3 - 4354*l**3 + 7562*l**3 - 5540*l**3 - 9216*l**3.\nAnswer: -19464*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75675 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1527 and -11135928.5.\nAnswer: -11137455.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxl when three letters picked without replacement from sllnnfxvnnslxllxll.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-9 + 6 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*d + 1320 = -271*d. Let o be 96\/d*(-11)\/6. What is the second smallest value in -8, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 88*g. Let w(r) = r. Determine p(c) + 3*w(c).\nAnswer: -2*c**3 - 85*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j - j)*(-15 + 35 - 15) + (2 + 1 - 1)*(-7 - 4 - 4*j + 9).\nAnswer: -13*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 6*x**2 - x - 2. Let h be w(-6). Solve -3*c + b = 2, c + 2 = h*b + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 92. Let t = -27 + m. Is t not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -86*x**2. Let d(j) = 28*j**2. Determine d(l(g)).\nAnswer: 207088*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -24, 0.08, 2\/17?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(8\/7)\/n)\/n*n*n*n*n\/(n\/n**(2\/3)*n*n*n))**(-2\/9))**(27\/4) assuming n is positive.\nAnswer: n**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23483 by 2.\nAnswer: 23483\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 31 - 29) + 6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24325985?\nAnswer: 5, 19, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 118 and 19.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*x + 6*x - 106, 3*x - 76 = -z. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28569113\/11550 + 161268\/175. Let t be ((-2)\/(-12))\/((-1)\/9340). Let q = t - k. Find the common denominator of q and -71\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2 - 5*w + 5. Let f(u) = 4*u**2 + 6*u - 6. Let x(t) = 4*f(t) + 5*n(t). Let q be x(2). Solve r = -4*r + 5*l + 5, -q*l - 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127080?\nAnswer: 2, 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01845 - -5.01845. Sort -2, d, 4, 4.2 in increasing order.\nAnswer: -2, 4, 4.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4761289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + 19*v**2 + v + 4. Let h(l) = 3*l**3 - 22*l**2 - l - 5. Let q(p) = 6*h(p) + 7*s(p). Calculate q(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-315)*(66\/77)\/((-88)\/(-14)).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {x: 5, p: 2, f: 1, r: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**3*s)\/((s\/(s*s**1))\/s*s))\/(s**(-2\/17)\/s*s\/(s**3\/s)) assuming s is positive.\nAnswer: s**(36\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 - 3*w**2 + 3*w. Let h(c) be the first derivative of -c**4 + 2*c**3\/3 - c**2 + 1. Suppose 3*a - 9 = -0. Determine a*h(f) + 2*d(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -1\/105*w**7 + 0*w**3 - 1 + 0*w**2 + 1\/75*w**6 - 13*w - 1\/30*w**4 + 1\/50*w**5. Factor o(c).\nAnswer: -2*c**2*(c - 1)**2*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -336?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 12540.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -7, -25, -61, -121, -211, -337?\n\"Answer: -i**3 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79203\/14 - -5652. Find the common denominator of j and 31\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - (-26 - (36 + -12))) + -75?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 321112131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 868*i**2 + 863*i**2 + 45*i - 6*i**4 - 1729*i**2 + (0*i + 3*i - i)*(0*i**3 - 2*i**3 + 4*i**3) + i**4 - i**4 - 2*i**4.\nAnswer: -4*i**4 + 2*i**2 + 45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 + 1717. List the prime factors of v.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*y - 1191 + 1751 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1281, 2416, 3551, 4686?\nAnswer: 5821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.181 + 1.181. Let v = -8 + 12. Sort v, 0.2, o in increasing order.\nAnswer: o, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -24*x - 1. Let o be m(-6). Suppose 5*z = o + 2. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - -2 - (-496 + 482).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**2\/2 + 3*q - 62. Let l(h) = -h - 2. Let v = -333 + 336. Calculate v*y(u) + 4*l(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, -18, 1\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-18)*(-2 - (-130)\/(-15)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074745211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 7*y + 26 + 9 + 4*y to z + d*y and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1640.12 + 1640.2. What is the closest to -0.1 in -0.33, q, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 1, c: 6, u: 4}. Give prob of sequence uup.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 53*f**3 + 649*f**2 - 3*f + 3. Let z(n) = 107*n**3 + 1292*n**2 - 5*n + 5. Let p(c) = -5*m(c) + 3*z(c). What is the third derivative of p(o) wrt o?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwbbwwwww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 148897676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2\/7 + 35220*r\/7 - 35216\/7 = 0.\nAnswer: 1, 8804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:19 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + 1816493.\nAnswer: 1816576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 164*n**2 - 27*n + 198. Is q(43) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:28 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b**(1\/5))\/(b**2)**(-6\/19))\/((b**(-2)*b)**(-11\/9))**(13\/2) assuming b is positive.\nAnswer: b**(-8743\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -349\/5, -3\/4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3\/2 + 224*o**2 - 6082*o + 37920 = 0.\nAnswer: -474, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - z + 0*z + (-z - 4 + 4)*(3 + 0 - 1) - 10 - 10*z + 10 + 3 - 3 + 2*z to a*z + y and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y**5\/2 + 371*y**4\/2 + 45*y**3\/2 - 3787*y**2\/2 + 1060*y - 150 = 0. Calculate y.\nAnswer: -3, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 15) in base 8?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266295?\nAnswer: 3, 5, 41, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 4069\nAnswer: -33\/4069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 a when four letters picked without replacement from {w: 8, a: 6, l: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 237495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 10 - 9*j**3 - j**3.\nAnswer: -10*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0274 - 43280?\nAnswer: -43280.0274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23365186.\nAnswer: 2, 13, 898661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10141494 and -612.748.\nAnswer: 10140881.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -58.46 less than 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758 = -24*b + 446 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9941940 is divided by 4970964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x - 2 - 1 + 3 to u + b*x and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/(-1 + 107\/108)*(-46)\/69.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 293.123 - 0.123. Let f = 296 - j. Which is the nearest to 0.1? (a) -2\/3 (b) 0.01 (c) f (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 - 69) + (18 - 20).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y - 2. Let a be h(-3). Suppose a + 450 = c. Suppose -3*j + 297 = -3*r, 5*j + 3*r - c = -2*r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53*408\/(-14416)*(-70)\/3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 10*s - 3*s + 16*s - 9*s as r + i*s and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -16. Calculate the lowest common multiple of (0 + 6\/(-4))\/(t\/(-32)) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -0*b. Suppose 5*d = b + 22. Calculate the least common multiple of d and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6474*q - 2650*q + 1069*q)*(q**3 + 0*q**3 + q**3).\nAnswer: -16110*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1885 and -2.7.\nAnswer: 5089.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21405, -21409, -21399, -21369, -21313, -21225, -21099?\nAnswer: -20929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3788.581 - -3788.4009991. Let c = k - -0.18. What is c rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4448 - 4448. Solve -5 = a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211 + -3230100?\nAnswer: -3222223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -118, -184, -266, -370, -502, -668, -874?\n\"Answer: -f**3 + f**2 - 52*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -30. Let r = q - -17. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7647 by -1.\nAnswer: -7647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 - 4*y**2\/5 + 7*y\/5 + 2.\nAnswer: -(y - 2)*(y + 1)*(y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 528192?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 6. Calculate the greatest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-17)\/(136\/16))\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r - 49 = -40 - 297 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 10. Let i be o(14). Suppose -6 = -5*p + i. What is the tens digit of (49 - -8)*4\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4277)\/(-45) + (24*59\/3540)\/(-9)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2747.4 and 165?\nAnswer: 453321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -s - 2*o, 18*s - o + 11 = 15*s. Let h(c) = -3*c - 4. Determine h(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 487*y**4 - 73*y**2 - 1 wrt y?\nAnswer: 11688*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(700))*-5)**2 + ((sqrt(7) - (sqrt(7) + 1))*5 - (-1 + sqrt(700) + sqrt(700))).\nAnswer: 980*sqrt(7) + 17596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69860549?\nAnswer: 11, 19, 334261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18451148 is divided by 432.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 497614*v**2 - 77*v + 453. Let f be g(7). Round f to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202302 + -1131?\nAnswer: 1201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65268 grams in tonnes?\nAnswer: 0.00000065268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922345.\nAnswer: 3, 5, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**3 + 20 - 52 + 15 + 18.\nAnswer: -37*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317845456.\nAnswer: 2, 977, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 7)*((-4*v + 3*v + 0*v)*(0 - 1 + 0) - 3*v + v + 4*v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111101010100100110010 - 1?\nAnswer: -1010111101010100100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -88. Let q = -6.7 - r. Which is the smallest value? (a) 0 (b) q (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 32. Let c = -5 + v. Let b = c - 9. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/20 + -2*15\/40?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 1. Let c(m) = 24*m + 11. Give c(v) - 4*i(v).\nAnswer: 16*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3, 0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6605.12 and 0.5.\nAnswer: -3302.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-30.\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let x be y(3). Let o be (24\/x)\/((-2)\/(-3)). Suppose 0 = o*s - 0*s - 36. What is the highest common divisor of s and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-3) + (-275)\/(-30) + -5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let t = 36 + -36.4. Suppose -4*d = -8*d + 8. Which is the second biggest value? (a) d (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**2 - 18275*p + 4. Let z(g) = -g. Calculate s(z(a)).\nAnswer: -4*a**2 + 18275*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a millimeter?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 46*d - 259. Determine a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721 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: Solve 98060 = 4131*x + 2076 + 13364 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 + 0 + -80 + (30 - (35 - 15))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8810718 milligrams to tonnes.\nAnswer: 0.0000000008810718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 927? (a) -2 (b) 2 (c) -1 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 74*p**3 + 4*p**2 - 5*p + 1. Suppose 0 = 6*s + 51 - 63. What is the hundreds digit of w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + 4 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + 17*y - 36*y + 92 - 92.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4407\/8 - -551. What is the biggest value in 4\/5, q, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 n, and 1 l when four letters picked without replacement from dlwggwwdgn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-68)\/8 + 1)*-20. Suppose -3*q + g = -0*q. Let z = q + 19. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 1041, 2483, 4949, 8697?\nAnswer: 13985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1560626, 3121251, 4681876, 6242501, 7803126, 9363751?\nAnswer: 10924376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94375 is divided by 137?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 5. What is a(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140037017.\nAnswer: 41, 47, 72671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12185 and 134580.\nAnswer: 327971460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31462?\nAnswer: 2, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2523*s - 28. What is the ten thousands digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooppw. Give prob of sequence oopp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 261?\nAnswer: -25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -32\/5, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*j**2 - 482*j**2 + 153*j**2 + 160*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 0.1 (c) -2 (d) -0.0244 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -2\/3 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5367 meters in centimeters?\nAnswer: 953.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14\/9*v - 11\/9*v**2 + 8\/3 + 1\/9*v**3 = 0. What is v?\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/(-945)*(-2)\/(4\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*9686\/(-228) + -2. Let n = 83 - q. Let r = -218\/285 - n. Sort -1\/2, 0.3, r.\nAnswer: r, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 19 - 23. Suppose -u*h + 5*g - 2*g + 51 = 0, -2*h = 3*g - 21. Solve -16 = 4*w - i, -3*w - 2*i + i - h = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339.61 - 1988595.61. Let a = v + 1988255.69000072. Let g = -0.31 - a. Round g to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -49458 (c) -591\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1358*n + 1353*n - 5*o + 770 = 0, o + 651 = 4*n. What is the highest common divisor of 18837 and n?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from xnxnxrbkkbxvnkxbxxx.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**4 - 2758*m**3 - 1831*m**2 - 212220238*m.\nAnswer: -48*m**2 - 16548*m - 3662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 1\/6, 0.3, 0.072?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 31*n**4\/6 + n**3\/2 + 31*n**2. Is z(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -35?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22111 is divided by 6824?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 14 = z + 124 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-847)\/(-539))\/(6*8\/(-84))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 58 = -k, -y + 0*k + 16 = -3*k. Let h = y - -24. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 at least 1579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - -1) + 400 + -395 + -8.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -35, -0.4, -327\/2, -1\/3 in ascending order.\nAnswer: -327\/2, -35, -7, -0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -33. Let p(k) be the first derivative of -k**2\/2 - 9*k - 1. Let i be p(c). Solve 0 = 3*f + i, 4*u = 4*f - 2*f + 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**4\/24 + b**3\/3 - 4*b**2. Let c be a(0). Suppose 0 = -c*h + 5*q + 20 - 7, -5*h = -4*q - 75. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3337*s**2 + 4*s - 4. Let f(v) = -6673*v**2 + 7*v - 7. What is 4*f(n) - 7*m(n)?\nAnswer: -3333*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/27)\/(-1)*3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -5\/6, -2\/9, 0.01?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15*(-11 - (-4572)\/420))\/((-16)\/56)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 16*z = -500. Let n be 5\/(z\/8) + (-316)\/10. Let t be -1 - n\/((-4)\/(-2)). Round t to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75 - 75 + 46*l**4 + (3*l - 2*l**2 - 3*l)*(-l - 2*l**2 + l).\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9299085 weeks?\nAnswer: 562408660.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = y - 3*y + a, 4*y + a = -18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.5, 3, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.692823 decades to years.\nAnswer: 56.92823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:55 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dog when three letters picked without replacement from igbondd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*g = -398*g - 45 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1, -22, 12, 75, 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*k - 322 = 0, 0*m - k + 164 = m. Suppose 599 - m = 3*b. Suppose a = -a + b. Calculate the greatest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.94\nAnswer: 3.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13247\/2984 or 3?\nAnswer: 13247\/2984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0 + 0*x**2 + 2\/21*x**4 - 1\/21*x**3 - 3*x - 3\/70*x**5. Solve t(a) = 0 for a.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 412? (a) -0.003 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q + 137 = -1312*q + 2683. Suppose 8\/5*n + 2\/5*n**4 + 0 + q*n**3 + 16\/5*n**2 = 0. Calculate n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111257114?\nAnswer: 2, 55628557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1578979010?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896137.\nAnswer: 11, 41, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26104 less than 25524?\nAnswer: 51628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97129, -96138, -95149, -94162?\nAnswer: -93177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 + 0*d**5 + 0*d**5 + 2*d - 2*d**5 - 2*d + (-2 + 2 + d)*(0 + 0 + d**4) + (-1 - 2*d + 1)*(-d**4 + 3*d**4 - d**4) - 3*d**3 - 2*d**5 + 3*d**3.\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.127 + -130.127. Let j = q + 130. Which is the closest to 1.2? (a) -0.4 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 15. Let d be r(15). Suppose 2*v - 88 = -5*i + 18, d = v + 4*i - 53. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -277205, -277204, -277203, -277202, -277201?\n\"Answer: n - 277206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 8*l = -2*r + 1, -4*l - 4*r = -16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 878 and 879 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-1 + -5)\/3. Suppose 3*s - 822 = 3*z, -2*s + 536 = -w*s + 2*z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-19)*1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 10*g**2 - 10*g + 13. Let k(b) = -7*b**2 - 180*b + 41. Let v be k(-26). Calculate s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5450 - -0.2?\nAnswer: -5449.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1499*p**2 - 9762*p + 35490964 wrt p?\nAnswer: 2998*p - 9762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 1, g: 1, e: 1, w: 1}. Give prob of picking 1 z, 1 w, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18672 - -18672. Put 49, -8, v in ascending order.\nAnswer: -8, v, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*j - 12, 0 = -5*o + 4*o - 3*j + 4. Let f be (-8)\/(-6) - o\/3. Sort 4\/9, f, -0.2 in decreasing order.\nAnswer: f, 4\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 4*q**3 - 5*q**3)*(0*q - 5*q + 0*q) + 169*q**3 - q**4 + 3 - 5 - 172*q**3 + 3*q**2.\nAnswer: 9*q**4 - 3*q**3 + 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**3*s**3 + 1098201*q**3*s - 2*q**2*s**3 + 716*q**2 + 124*q*s**2 wrt q?\nAnswer: 6*s**3 + 6589206*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*3*sqrt(96)\/(sqrt(27)\/(sqrt(9)*2)))**2.\nAnswer: 480*sqrt(2) + 28804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/2 + (-1)\/2 - 30272\/(-2992)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3017, -2, 3, 1, 0 in decreasing order.\nAnswer: 3, 1, 0, -2, -3017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -321, -335, -349?\n\"Answer: -14*s - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/(-28*(2\/(-3))\/(-2)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 54. Let v = 10 - y. Suppose 5*h = 5*f - 13 - 7, 3*h - v = -3*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-195))\/((-4004)\/(-220))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 3*h + 19*h + 3*h**3 - 7*h - 6*h - 2*h**3 - 325 in the form g*h**2 + i*h**3 + f + s*h and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-609)\/(-63))\/29)\/(9\/189)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*y + 469*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + 0.35. Let z = -746\/1855 + -7\/265. Let p = -0.01 - 0.01. What is the third smallest value in w, p, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*m + 7400 = 648*m - 187*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/9 + (-6)\/(-27). Which is bigger: -9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/(-4))\/(-3))\/((-12585)\/(-33560))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/140910 and -145\/12899304.\nAnswer: 451475640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m**5\/8 + 159*m**4\/4 + 1223*m**3\/8 + 203*m**2\/4 - 155*m\/2 - 23 = 0 for m.\nAnswer: -2, -1, -2\/7, 2\/3, 23\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*k**4 + 3*k**2 + 0 - 3*k + 6*k**4 - 2*k**2 - k**3 + 3 - k**3 to the form v*k**2 + n*k + b*k**4 + f + u*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -244113 (base 7) in base 6?\nAnswer: -542413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccuomoc. What is prob of picking 1 o, 1 m, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42005834*b**6 - 5080631*b**2?\nAnswer: 5040700080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 24*t + 46. Let d be q(-26). Let m be (-42)\/d - (0 + 342\/(-14)). Sort 4, -1, m in ascending order.\nAnswer: -1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**32)**(-40) assuming x is positive.\nAnswer: x**512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*z - 240 = -1521, -3*r = 3*z + 747. Let h be (-5)\/15 - r\/3. Suppose -8 = -q + 4. What is the greatest common factor of q and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 9\/2, -0.2, 0.04, 1\/2 in decreasing order.\nAnswer: 9\/2, 1\/2, 0.04, -0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-7 - -11) - -16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + sqrt(99) + -1*sqrt(99)))*5 + sqrt(99)*-2*-1)\/(-1*sqrt(576)*-3).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*b = -25*b + 1830 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -14) + 1 - (225 - 251).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 19 = 5*i, -i + 2 = -7*x - 2*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d*h**2*t**4 + 4*d*h**2 - 2*d*h*t - d + 5*t**4 wrt t.\nAnswer: 72*d*h**2*t**2 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 530\/(-7) - (-12)\/(-42). What is the common denominator of g\/18 + 3\/9 and 35\/(-35) + 178\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/9 of a week in minutes?\nAnswer: 64960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 912853589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/(1\/((-48)\/(-8))*2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 8*d - 25. Let q be (4\/1 - 1)\/(-3 - 624\/(-200)). Calculate the highest common divisor of d and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x*x*x**3))*x\/((x\/((x*x*x\/x**(-1\/6))\/x))\/x))\/(x\/x**(-1))**(5\/13))**(1\/33) assuming x is positive.\nAnswer: x**(499\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 2. Let f(u) = 7*u - 1. Calculate -3*f(l) - 2*z(l).\nAnswer: -7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-709*x + 524*x + 535*x)*(-2*x + 2*x - 2*x) + (0*x**2 + 9*x**2 - 3*x**2)*(-1 - 4 + 4).\nAnswer: -706*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 10. Let q be g(-5). Suppose 5*o - q = -0. Let c be (3 - o)\/(-2) - -16. Calculate the greatest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 325 = -5*c, -y - 5*c + 22 = -13. Let u = 5 + -7. Let k be u\/(-10) + (-59)\/(-5). Calculate the highest common factor of k and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145341000 - 24?\nAnswer: -145341024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103262*f**3 - 206528*f**3 + 5170 + 103267*f**3 - 1691.\nAnswer: f**3 + 3479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 18559*b**3 + 31. Let v(h) = -6186*h**3 - 11. Determine -6*c(j) - 17*v(j).\nAnswer: -6192*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1)**2 + (sqrt(12)*-5)**2.\nAnswer: -12*sqrt(3) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-1 - 0) + 10 + -457 + 451).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(60)*2)\/sqrt(3))\/((sqrt(10) - sqrt(50)\/sqrt(5)*4) + sqrt(10)) + (sqrt(24)*5)\/(sqrt(12) + sqrt(12) + sqrt(48) + sqrt(12) + sqrt(12)))**2.\nAnswer: 55\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205413592?\nAnswer: 2, 1291, 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t, 2*u - 5*t + 7 - 1 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, -2\/5, 718.2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1149, 931, 539, -51, -863, -1921?\nAnswer: -3249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -63*k + 1. Let m be a(-4). Suppose m + 47 = 4*y. Let i be 46\/(-40) - 45\/y. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1339.77.\nAnswer: 4019.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 43*m**4\/12 - 7*m**3\/6 - 27*m**2\/2 + 2*m - 37. What is the second derivative of l(p) wrt p?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*t + 87, -2*x - t = -7*x + 185. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592800 is divided by 861?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 4*l + 3*l + (0*l + 0*l + 2*l)*(0 + 0 + 5))*(-105 + 257 + 117) as o*l + t and give o.\nAnswer: 2959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 12*z**2 + 5. Suppose -5*y = j - 29, 4*y = -6*j + 3*j + 21. Let x be k(y). Let o(p) = -p**2 + 6*p + 2. What is o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -w. Let s be 472\/18 - (w + (-16)\/9). Solve -r - s = -23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 61 = -4*z, -z + 3*n = -439 + 525 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 1. Suppose 0 = -4*h - 3*n + 17, -2*n = -4*h - 0*n + 2. Let o be v(h). What is the common denominator of -53\/2 and (o + -1)\/((-18)\/159)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -583, -48, -113, -19 in descending order.\nAnswer: -19, -48, -113, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885440782 is divided by 444.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11682 or -11676?\nAnswer: -11682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = 4*c + z, -2*z + 119 = -3*c - 144. Let m = c + 86. Find the first derivative of -m - 16*s**3 - 1 - 7 + 5 wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/9 + 191746*w**3\/9 - 191749*w**2\/3 = 0. Calculate w.\nAnswer: -191749, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 - c**2 - 4*c - 3. Let x be t(-2). Suppose -3*s - w - 4*w = -x, -5*w = -3*s + 3. What is the least common multiple of 4 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3781151*k**6 - 26079343*k**2.\nAnswer: 453738120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 408237\/14 + -29160. Which is the closest to -2? (a) 0 (b) f (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -352*k**2 - 2111*k - 4. Calculate p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127916019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*m - 12 = 3*c, m - 8 = -4*c. Suppose 27 = 7*r - c. Put 5, -2\/27, r in decreasing order.\nAnswer: 5, r, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(-55) - (-44)\/10. Let c(g) be the second derivative of -3\/160*g**f - 1\/8*g**4 - 5\/16*g**3 - 3\/8*g**2 + 3*g + 0. Factor c(a).\nAnswer: -3*(a + 1)**2*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 719.72305?\nAnswer: 2878.8922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 14. Suppose -l = 4*o - 3, 3*l - 51 - s = o. Let t = l - 13. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.707 - 0.107. Let i = k - 8.5926. What is i rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 450 = -2*x - 446, -111*w + 5*x - 532 = 83*w + 77*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3869 + -aa52?\nAnswer: -115bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**3\/g)\/(g**4\/g*g))**19)**(-17))**(-24) assuming g is positive.\nAnswer: g**(-15504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + o**2 - 3*o**2 + (o**2 - 2*o**2 - 5*o**2)*(-4 + 3 + 0) - 10*o**2 + 4*o**2 - 2*o**2 + 0 + 2*o**2 + 0 + (-o + o + o)*(2*o + 0*o + 0*o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h**5 - 12*h**4 + 6*h**3 - 6*h**2 + 9. Let b(s) = s**5 - s**4 + s**3 - s**2 + 1. Let l(x) = -9*b(x) + t(x). Factor l(j).\nAnswer: 3*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -74*s + 20. Let t(f) = 140*f - 36. Calculate -5*o(d) - 3*t(d).\nAnswer: -50*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/6 + 13*x**4\/6 + 11*x**3\/2 + 31*x**2\/6 + 5*x\/3.\nAnswer: x*(x + 1)**3*(x + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 (base 12) in base 10?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1305878 and 25\/16.\nAnswer: 10447024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -728.\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3771 - 1.\nAnswer: -3772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:47 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85, -263, -437, -607, -773, -935?\n\"Answer: 2*a**2 - 184*a + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 2*v**2 + 2*v - 2. Let x be a(-3). Sort x, -5, -3.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*c**3 + 29*c**3 - 109*c**3 + 33*c**3 + 23*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1612177.1 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 3 = 0. Let g(h) = 406*h**3 + 3*h**2 + 5*h - 4. Let t be g(p). What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*o + 21 = o, -4*s - 2*o = -6. Calculate the remainder when (s - 1)\/(3\/57) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -6*d**5\/5 - d**3 - d**2 - 16*d + 1. What is the second derivative of l(i) wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 993 - 993.1. Let z = -0.11 - -5.11. Let m = 4 - z. Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + g + 48 + 53)*(-1 - 2 + 5)*(40*g - 701 + 701).\nAnswer: 80*g**2 + 8320*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 39*y**5\/20 - 25*y**4\/2 + 31*y**3\/2 + 9*y**2 + 17*y - 5. Suppose t(i) = 0. Calculate i.\nAnswer: -2\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*d**2 + 21*d**2 + 16*d**2 - 60*d**2 - 41*d**2.\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-1) + -1 + 2. Let n(m) = 7*m + 1. Let u(b) = b**2 + 5*b + 1. Let h be u(-2). Let o(j) = 6*j + 1. Determine h*n(g) + z*o(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 27. Let p be h(-15). Find the third derivative of 12*n**p - 3*n**3 - 7*n**2 + 6*n**2 - 13*n**2 wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 12*n - 11. Let k be a(-11). Suppose 3*w = 3*g + 78, 2*w - 40 = 5*g - k*g. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7260 divided by 605\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02681 * -0.12.\nAnswer: 0.0032172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m*m**0*m))**(-2\/3))**18)**(-13))**(-27\/7) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 36 = -8*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j - 8*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52416323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -65424 + c**2 - 11*c + 65417 + 0*c. Let j be 10 + 0 + 3\/3. Give k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/14 and -87\/1732.\nAnswer: 12124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -19*t - 10. Let u(y) = 10*y + 5. Let o(n) = 3*m(n) + 5*u(n). Suppose 0 = -5*x + 3*f - 22, 3*x + 2*f = 2 - 0. Let b be o(x). Solve -4*g = -b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)\/(s\/(s*s**(-2\/13)*s)))\/(s**(-1)\/s)**47*s**(1\/3)\/(s\/(s\/s**(-1\/2)))*s*((s**(-1\/9)\/s)\/s)\/s*s**(4\/9) assuming s is positive.\nAnswer: s**(36743\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1796 - -2153. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 30207792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/3)*(k\/k**(1\/3))\/k*k)\/(k**(-2\/17)\/(k*k\/k**(-5))) assuming k is positive.\nAnswer: k**(482\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 35*c**4 - 130*c**3 + 9*c**4 + 11*c**4 + 7*c**4 + 6*c**4 to the form n*c**4 + h*c**3 + q + y*c**2 + s*c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35081, 35095, 35163, 35321, 35605?\nAnswer: 36051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 4, -2, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.02 in -145\/6, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 424316854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (94*t + 37*t + 7*t)*(t**2 + t**2 + 5*t**2) + t**3 + 3*t**3 + 3*t**3 as d + q*t**3 + j*t**2 + k*t and give q.\nAnswer: 973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5358\/11 - 43733\/88. What is the common denominator of -16\/13 and o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -39*f**3 - 5070*f**2 - 2*f - 441. What is k(-130)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 3*l**3 + 4*l**3 - 5*l + 5*l + 4*l**3 + (-4 + 4 + l)*(0*l**2 + 2*l**2 - 4*l**2).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.3 - -24.2. Let i = -16 + 28. Let t = s - i. What is t rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4055 - -1.9855. Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txcxcxtcwtccecte. Give prob of sequence txcw.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206852 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 16) to base 14\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/13 + 36*j\/13 + 162\/13.\nAnswer: 2*(j + 9)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/32 and 53\/30030872.\nAnswer: 120123488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 394*c + 32*c - 2754 - 7044 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2 + 612*c - 613 = 0.\nAnswer: -613, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-54))\/((117110\/(-3136))\/239).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35, 3\/7, -3\/7, 2\/7, 59?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13513788.\nAnswer: 2, 3, 19, 23, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011102012 (base 3) to base 10.\nAnswer: -62267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 18*y**3 - 19*y**2 + 43*y + 2. Let n(w) = 25*w**3 - 28*w**2 + 60*w + 3. Let r(c) = 5*n(c) - 7*s(c). Give r(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22486 + -0.224838997. What is d rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-10.9\nAnswer: 5.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 - o**2 + o + 1. Let q be u(-1). Let i = q - -8. Solve -b = i*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 6*r**3 - 36967*r**2 + 117005*r - 18474 = 0.\nAnswer: 1\/6, 3, 6158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 4:15 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - (0 - 0 - 2) - (-706 - -251 - -447)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 46 = 26. Suppose 3*x + 3*r = 5*x - 592, q*r = -4*x + 1184. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42864898537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4.1. Let s be 2\/8 - (-154)\/(-264). Sort k, s, 2.\nAnswer: s, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 5:05 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m - 4 = 0, 0 = 3*f + 2*m - 7. What is the derivative of f*q + 1 + 3*q - 2*q + 1 wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 38*i**2 + 6*i - 9. Let a(s) = -77*s**2 - 11*s + 16. Give 6*a(v) + 11*u(v).\nAnswer: -44*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(60)\/(2*sqrt(1200) - sqrt(1200) - sqrt(12)))**2.\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205216 is divided by 13155.\nAnswer: 7891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 26 - 170 = 4*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 290?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -1 - (-117)\/13. What is the fourth biggest value in -63, h, -3, 1\/4?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*56\/126 + 22032\/(-3128)*7\/3\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - 5. Let i = 19 + g. Put -5, i, 3 in ascending order.\nAnswer: -5, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1757, 2, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*v*y - 110964*v - 6320*y + 146 wrt v?\nAnswer: 12*y - 110964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0.2, -2, 7, -0.3, 0.06, -0.27?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 260205*s**2 - 98155 wrt s.\nAnswer: 520410*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**4 - 183*x**3 + 1557*x**2 - 1377*x = 0.\nAnswer: 0, 1, 9, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-3))\/(5\/(-6)). What is n rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -8. Let z(h) = 6626*h**2 - 79*h + 124 - 3314*h**2 - 3314*h**2. Let r be z(-41). What is the second biggest value in r, x, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 73780990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 44.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {b: 2, n: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -306c0 (base 14) in base 8?\nAnswer: -343560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/13)\/(o*o**0\/o*o)*o**1\/(o\/(o**(1\/5)\/o)) assuming o is positive.\nAnswer: o**(-107\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/13 - 28*h**4\/13 + 352*h**3\/13.\nAnswer: -2*h**3*(h - 8)*(h + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*10\/(-6)*(13 - 142). Let m = 119 - 33. What is the greatest common divisor of o and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**0)\/(i\/(i\/(i*i**(-4)))))\/(i**(-2\/19)\/(i*(i\/(i*i**4*i)*i)\/i)))\/(i**(-2\/5)\/(i*i*i\/(i\/i**(-2\/5))))**10 assuming i is positive.\nAnswer: i**(382\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 38. Sort h, 0, 1\/5 in descending order.\nAnswer: h, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324276874 rounded to the nearest one million?\nAnswer: 1324000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 1020 (b) 375 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let x = r + -0.1. Suppose 0 = -2*m - 4*q - 12 - 2, 0 = -5*q - 5. Put x, m, -0.3 in decreasing order.\nAnswer: x, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((-5)\/((-45)\/(-6))). Let l = w - -2. Let q be (-7)\/l + (-2)\/(-8). Solve 4*a = 4*x + 8, -q*x - 5*a = -6*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 0, 2*z + 2*z - 10 = -2*k. Let l(h) = 4*h**3 - 10*h**2 + 7. Let p(q) = q**3 - 3*q**2 + 2. Give z*l(t) - 7*p(t).\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290116 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2325126*q - 198258*q + 4398269*q.\nAnswer: 6525137*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28 - 4223*s + 90 + 4197*s + 145 wrt s.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -4c?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 2\/((-8)\/20). Suppose 5*i - 329 = 3*j + 2706, d = 4*i + 4*j - 2396. List the prime factors of i.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1130.4843 or 44?\nAnswer: 1130.4843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**2 + 6700270*z + 6700265 = 0.\nAnswer: -1340053, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -25.755019\nAnswer: 25.755019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 31825?\nAnswer: 3\/6365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275.5 - 276. What is h rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -79. Calculate the remainder when 116 is divided by g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 + (1 - 42). Let h = -36 - s. Let p = 18 - h. What is the smallest common multiple of 22 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 2*c - 3*c + (-1 - 2 + 4)*(c - 6*c + 3*c) + 1 - 2*c - 1 + (1 - 1 - 2)*(17*c + c + 12*c) as o*c + a and give o.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 - -204. Calculate the greatest common factor of 629 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -174, -265, -354, -441?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 78*r**2 + 1. Let t(u) = 21645*u. Calculate t(g(z)).\nAnswer: 1688310*z**2 + 21645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-574)\/(-49) - (-4)\/14. Let w be -9*(1 + h\/(-9)). What is the closest to -0.1 in -4\/5, -2, w?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322340205 divided by 1\nAnswer: 322340205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3\/7 + 288*z**2\/7 + 4*z\/7 - 288\/7 = 0. Calculate z.\nAnswer: -1, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhthkiiuihhhhkkih. What is prob of picking 1 u and 1 h?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41286398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22306982?\nAnswer: 2, 11153491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, -112, 1891, -1\/9, -3 in decreasing order.\nAnswer: 1891, 1\/20, -1\/9, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + -4*sqrt(66)*1)\/(sqrt(6) + -1*sqrt(726) + sqrt(6)) - (-2*sqrt(99) + 4)*-4)**2.\nAnswer: -2272*sqrt(11)\/3 + 57755\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*y = -10*y - 32, 4*x = -3*y + 4. Let m = 0 - -1. Let q = m - 2. What is the third smallest value in q, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/9)\/(-2*1). Let q = 3.054 - -0.046. Let i = q - 2.6. Which is the smallest value? (a) i (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-1\/20)\/k*k**15\/k*(k*k\/(k**(-11)\/k)*k)**(6\/11) assuming k is positive.\nAnswer: k**(5089\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -502\/7 + 72. Let y = -288.9993 - 0.0007. Let d = -293 - y. What is the nearest to s in 0.4, -1\/6, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16921 divided by -342.\nAnswer: 16921\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -4\/44885 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**3 - l. Let s(o) = 4*o**3 - o. Let a be 6\/15 - (-96)\/10. Let z be ((-10)\/(-4))\/((-5)\/a). Let j(q) = z*h(q) + 6*s(q). Calculate j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of (-8781198)\/(-517) - 4\/(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 237 - 27. Let f = z + -64. Calculate the smallest common multiple of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:12 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -37, 5, -733, 0.2, 52?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)*(-5 - 2). Let i = t - 5. Factor -2*k**i + 2*k + 4*k - 2*k - 2*k.\nAnswer: -2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -273 + 168 + 105 + 6*f. Let c(b) = -50*b**2 + b. Give c(k(t)).\nAnswer: -1800*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 263 = -268. Solve 0 = -5*p + y*f, 0*f - f = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**8\/12600 + f**6\/900 - f**5\/450 + f**3 + 7*f**2 - f. Let s(v) be the first derivative of a(v). Factor s(u).\nAnswer: -2*u*(u - 1)**2*(u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3885 and 13\/4662?\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-110)\/700*(-18)\/(1080\/75)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -374192192 divided by -4?\nAnswer: 93548048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2664\/13 greater than or equal to -205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 14*n + 2*n)*(9*n + 1 - 1).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 538230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69124, 69042, 68960, 68878, 68796, 68714?\nAnswer: 68632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 9*t**2 - t + 5. Let y be n(4). Let r = -6453 - -6471. Calculate the greatest common factor of y and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-15) - (-128)\/60. Let s(u) = -18 + 18 + 12 + 2*u**i + 10*u. List the prime factors of s(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - 63. Factor 3300*v**4 + 2*v**f - 256*v**2 - 91*v**3 - 174*v - 3336*v**4 - 44 - 73*v**3.\nAnswer: 2*(v - 22)*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -70, 31, 230, 563?\n\"Answer: 6*v**3 - 5*v**2 + 12*v - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5531 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66235 or 69824?\nAnswer: 66235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + p + 2. Let b be l(2). Let o(z) = -z - 1. Let u be o(-6). Suppose g - 4 = -1. Sort u, g, b.\nAnswer: b, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l + 4. Let f = 27 - 25. Let d be j(f). What is d rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(35)*-2*-2)\/(2*sqrt(35)\/sqrt(5)).\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*a**3*h**3*q**2 + a**3*h*q**2 - 2*a**3*h*q - 7*a**3*q + 27*a**2*h**3*q wrt q?\nAnswer: 40*a**3*h**3 + 2*a**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 23*y - 1468. Give u(64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 140200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -202 - 262 + 208 + 117*s. What is the hundreds digit of o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 749388 and 9456?\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1135068 (base 9) to base 6\nAnswer: 21054012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1034209 plus -42?\nAnswer: -41.8965791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 38*y = 0. Solve 4*c + 0 - 8 = y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1966*f - 137598. What is c(-70)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975.608ml to litres.\nAnswer: 0.975608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*h - 23439 = 1313 + 7948 for h.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7717.021173 - -7717. Round o to four dps.\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7*x + 7*x + 6*x)*(4 - x - 4) + (-5*x - 2*x + 5*x)*(-69*x - 2830 + 2830))*(2 + 0 + 0) to q + n*x + u*x**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyj when three letters picked without replacement from jeyit?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.048? (a) -4\/3 (b) 0.17 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 458*d**2 - 33*d - 35. Let w be u(-1). Let r = -65 - -89. What is the highest common divisor of r and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989020853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1, -8\/3, 2, 0.2, -42?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 4*d - 433. Determine i(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*f + 18*f + 19*f + (3 + 3*f - 3)*(2 - 3 - 2))*(2*f - 2 + 2)*(0 - 3 + 1)*(0 - 1 + 3).\nAnswer: -416*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 + 26 = 0. Is (-2)\/(-4)*-6*(-201)\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17850 (base 12) to base 7\nAnswer: 201153","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -774 = -84*t + 725 + 13 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56707*b + 56710*b + 56706*b + 56712*b - 226830*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23933, -47776, -71619, -95462?\nAnswer: -119305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/7272*2\/26)\/(-1*7\/42)?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.278261075 and -0.2.\nAnswer: -0.478261075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhbhhbhjjhhbhjhhhh. Give prob of sequence hhj.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/5 - (-14)\/(-35). Let y be (-2)\/10 + 93\/15 + m. Solve 2\/13*n**y - 2\/13*n**2 + 0 - 2\/13*n**3 + 2\/13*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94626 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -24, -48, -72, -96?\n\"Answer: -24*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-3)\/2 - 823\/(-2).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-4))\/o)\/(o\/(o\/(o\/o**(-3)*o))))\/((o*o**4)\/(o**2*o)))**(-10) assuming o is positive.\nAnswer: o**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:04 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -39.5 (c) 0.02 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 + 0.19. Let p = r - -0.03. Sort p, -0.1, 0 in descending order.\nAnswer: p, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 2*i**2 + 2*i**2 + (-2 + 2 + 2*i)*(2*i - i + i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 + 5*g**3 + g + 5*g**2 - 2 - 4*g**3. Let o be r(-3). Let i = -7 + o. Calculate the smallest common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 120559072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 8*k - 3. Let a be f(7). Let y be a\/16 - (-1)\/(-12). Put -2, 0.07, -2\/7, y in descending order.\nAnswer: y, 0.07, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 - 7*x - 15. What is the units digit of h(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.80364*0.559.\nAnswer: 1.00823476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 23*r + 17. Let x be q(24). Does 9 divide x\/(28\/12) - -291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.059 + 5.041. Let k = n - 77.1. Let o = 72 + k. Which is the biggest value? (a) -5 (b) 1\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 14. Let b = 43 - 43. Suppose 2*g - 4*c - 12 = b, 5*g + 3*c - 4 = -0*g. Suppose 2*q = -5*v - 65, -21 = 4*v - 3*v + g*q. Give k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Let o = 989 - 935. Let q be ((-2)\/6)\/(198\/o). What is the biggest value in -16\/7, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/792)\/((-4)\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2052575838 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 2165.\nAnswer: 15155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6788 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 8:48 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -6037, -0.16?\nAnswer: -6037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 268734*v**3 + 5644296*v**2 - 39512130*v + 92197371.\nAnswer: -3*(v - 7)**3*(v + 89599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 - 5*m + 6. Let q be f(-5). Suppose s + 5 = q*s. Let x be ((-2)\/(-4))\/(s\/(-2)). Is x at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - 1.3. Is -6 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**5\/20 + w**4\/2 + 3*w**3 - 4*w**2 - 9*w. Let d = 48 + -20. Calculate the lowest common multiple of d and r(8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -0*x + 5*x. Let t be (-4)\/8 - (-11)\/2. Suppose -54 = -t*l + 2*l. What is the remainder when l is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1199 (b) -4 (c) 1056 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.4 > 589868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19923263.\nAnswer: 1787, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483949 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 4*o + 2. Let q(v) = -v**3 - 2*v**2 + v - 1. Let h be q(-4). Let k = h + -32. What is c(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m - 21 + 60 = -51 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2701\/296)\/73 + (-1)\/8. Solve a = 333*z - 328*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8686, 8687, 8700, 8731, 8786?\nAnswer: 8871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 8*v + 6. Let u(n) = -5*n**2 + n - 1. Let o be u(-1). Give j(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -734\/43, -0.55 in increasing order.\nAnswer: -33, -734\/43, -0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 3*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*3\/(6\/8). Solve g*f - 1 = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1040705*l**3 - 25*l**2 + 2*l - 237002754 wrt l?\nAnswer: -3122115*l**2 - 50*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10010010001100 (base 2) to base 5\nAnswer: 244411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11288.44268 - -7.\nAnswer: -11281.44268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35377 is divided by 3472.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v. Let b be s(-4). What is the highest common factor of 140 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-85)\/(-20)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -750995 less than -750993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69805, -139616, -209431, -279250, -349073?\nAnswer: -418900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 - 25*s**2 - 21*s + 208. What is b(-9)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-8) - (-2)\/(-8). Suppose -2*q - w*q = -4*d - 140, -82 = -2*q + 5*d. Calculate the remainder when q is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/31)\/g)\/g*g**(-4\/13))\/((g\/(g\/(g\/g**(3\/16))))\/g)**(12\/5) assuming g is positive.\nAnswer: g**(-14453\/8060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -184224.\nAnswer: -184223.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k. Suppose k*c - 6 = -3*c. Find the second derivative of -c*g + g + g**3 + g**3 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(-4) + 3\/12. Let y(z) = 6*z**2 + 3. Let i(r) be the third derivative of -r**5\/12 - r**3\/3 + 7*r**2. What is j*i(t) - 3*y(t)?\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 + 77. Is -56\/9 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 14\/3, 33?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q = 2*y + 37*q + 14, 0 = 4*y - 4*q + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 57*g**2 - g + 1. Let p be (-10)\/(-25) + (-3)\/(-5). What is the remainder when l(p) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 5*x - 3*x)*(3 - 5 + 4)*(-4 + 2 + 3) + 56*x + 13800 - 15*x - 13796.\nAnswer: 37*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-5)\/15)\/(1\/(-39)). Let m = -92 - -196. What is the highest common factor of a and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1747106 years to decades.\nAnswer: 0.01747106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1 (c) 0.41 (d) -2\/9 (e) 523\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49541 - 17902. Let q = x - 190295\/6. Let n = q + 77. Are n and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3081 and 873.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 33 = 13*u. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19094952 to the nearest integer?\nAnswer: 4370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - 34?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4182.95 + -4142. What is g rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, 2\/13 in decreasing order.\nAnswer: 0.2, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -65537, 4, 1, -2 in descending order.\nAnswer: 4, 1, -2, -18, -65537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(1033 + 252 - 609 + 1445).\nAnswer: 2121*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 + 7*r + 6. Let p be u(6). Let x = -1316 - -1340. Suppose -p*c - 4308 = -x*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -25, -60, -113, -190, -297?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/((-15930)\/(-472))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5377 in -2\/9, 0.2, 3\/4, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2021 - 4?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 55464170 and -0.2.\nAnswer: 55464169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000988268113 rounded to seven dps?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -110. Let c(k) be the first derivative of k**3\/3 - 2*k**2 - 6*k + 1. Determine c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-6) - 8\/(-12). Suppose -p*d**3 + 1\/2*d**2 + 1\/2*d - 1\/2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8537890541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 26*p - 26*p - 92842*p**3.\nAnswer: -92842*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*u - 45 + 200 = -189 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-136)\/3)\/(((-8)\/(-12))\/(-1)). What is the greatest common factor of 102 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to 60391565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5576118?\nAnswer: 2, 3, 547, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 25*f**3 - 2*f**2 - 5*f - 3. Let v(d) = 23*d**3 - 3*d**2 - 5*d - 4. Calculate 3*c(u) - 2*v(u).\nAnswer: 29*u**3 - 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 9761739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57057, -57046, -57025, -56994, -56953?\nAnswer: -56902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l + 25 - 27\/4*l**4 - 14*l**2 + 0*l**3. Find the second derivative of j(k) wrt k.\nAnswer: -162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -62. Factor 0 - 2\/5*d**2 + g*d.\nAnswer: -2*d**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1704 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*j - 12 = 0, 185 = -2*h - 2*j + 181 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(475) + 1)*-5*4 + 0 + -3)*-5.\nAnswer: 110 + 500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/150 - 19*a**5\/25 - 361*a**4\/10 - 13718*a**3\/15 - 24*a**2. Factor t(h).\nAnswer: -4*(h + 19)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4186*k**2 - 8*k + 11. Does 40 divide f(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9842*f**3 - 13492*f**2.\nAnswer: -59052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 77. Solve -4*r + 3*r + y = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 25 = 16*m. Let g be m\/10 + (-1299)\/(-6). Let q = g - 109. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-20))\/(-1))\/(5\/15)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**6\/10 - 9*y**5\/20 - y**4\/2 + 6*y**3 - 12*y**2 - 31*y. Factor g(f).\nAnswer: 3*(f - 2)**2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, o: 5, g: 1}. Give prob of picking 1 o and 1 e.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*v + 14432 = 107*v. Suppose 0 = 6*i - v - 1700. What are the prime factors of i?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8991 = -a, -5*u + 8994 = 4*a - 3*a. Let q(d) = d**3 + 2. Let k be q(0). Suppose k*m = a + 733. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b8526 (base 12) to base 9\nAnswer: 1347483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 813*t**3 + 5802*t**2 + 10008*t.\nAnswer: -3*t*(t - 278)*(t + 3)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24628167 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8424 and 864.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*g**2*q*t + 5*g*q*t + q*t + 511*t wrt g?\nAnswer: 138*g*q*t + 5*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1477 to 3 decimal places.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {z: 2, t: 4, n: 1, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(192))*4 - (sqrt(147)*-4)**2.\nAnswer: -2352 - 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 63\nAnswer: -8\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-42)\/18 - 6)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 204 = -116. Suppose a*c - 3496739 = 4863261. Round c to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2575235 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*(w**0*w)\/w)\/(w**1*w)**(-3) assuming w is positive.\nAnswer: w**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2564891 to 4 dps.\nAnswer: -0.2565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in -0.1, 4, 6, 18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, v: 1, s: 1}. Give prob of sequence rv.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7139919 > -7139962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20*-47702\nAnswer: -954040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*s - 4883 + 12283. List the prime factors of s.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3518*v**3 - 2*v**2 + 12. Let q(z) = 14071*z**3 - 9*z**2 + z + 54. Determine -9*i(m) + 2*q(m).\nAnswer: -3520*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -178225*n + 178223*n + 22 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 32 + 48 = 0. Let r be z*(42 + 1 + (-1 - 2)). What is r rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 54250 + 8741. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**3\/3 + 3*i**2\/2 + 4*i - 8. Let w be l(-3). Suppose -w*z - 5*r + 1055 = z, -r + 844 = 4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 0.05\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5226 - -9005. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1748 (b) -3 (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 51*c**4\/2 - 118*c**2 - 285*c. Differentiate i(b) with respect to b.\nAnswer: 612*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 10*k - 26, -5*k - r = 121 - 129 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.3, 2\/9, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-19)*u**(-1\/5))\/((u*u**(-2)*u)\/u**(-17)) assuming u is positive.\nAnswer: u**(-181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - -3 - (1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {r: 1, s: 1, x: 2, m: 11, j: 1, g: 4}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 133.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -275196, -550439, -825682, -1100925, -1376168?\n\"Answer: -275243*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2350 - -11749\/5. What is the closest to -6 in 1\/5, -1\/4, x, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmjmjjjjzmjzjmmzmzm. Give prob of picking 1 m, 1 j, and 2 z.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 = -5*t + 793. Let d be (310\/8)\/(1\/4). Let l = t - d. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g**(3\/5)*((g\/(g**(1\/5)*g*g))\/g)\/g**(2\/3))\/(g**(-9)\/(g\/((g**(-2\/9)\/g)\/g)))**(-11) assuming g is positive.\nAnswer: g**(-12259\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1106000 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 320*l**2 - 314*l - 1476. What is r(319)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212 + 10121?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v - 79 = -11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfm when three letters picked without replacement from fffffffmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, -4.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 44800 and -34435.\nAnswer: 10365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 12:41 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (2 + (4 - 5 - 0)). Let n(u) be the first derivative of -i + 0*u + 0*u**3 - u**2 + 1\/2*u**4. Find s, given that n(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2533375*d**4 + 2*d**2 + 432689*d + 2?\nAnswer: 60801000*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:46 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -196*v + 620. Determine h(4).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/(-93)*((-198)\/(-616) - 3\/4). What is the closest to -6 in z, -1\/3, 23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -13 + 0 + (218 - 226)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12421, -1.9, -4\/3.\nAnswer: -1.9, -4\/3, 12421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**29\/(m**(-2)\/(m*m**(-5\/2)*m)))\/((m**(-1\/2))**48\/((m*m**0\/m)\/m)**(-6\/11)) assuming m is positive.\nAnswer: m**(573\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*q**2 + 39*q**2 - 150*q**2.\nAnswer: -222*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1685406, 3370814, 5056222?\nAnswer: 6741630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 193, -4\/7, 0, -5.\nAnswer: -5, -4\/7, 0, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(800)*-5 + sqrt(50) + -1*sqrt(4050)))\/(1*(sqrt(490) - (sqrt(490) + sqrt(490)*-2)) + -5*(sqrt(490) - (-1*sqrt(490) - sqrt(490)))).\nAnswer: 4*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*y**2 - 62*y**2 - 3*y**2 + y**2 - y as a*y**2 + i*y + q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1203\/15 - 9 - (-2)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.256 in 23, 3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 786*s**3 - 10563*s**2 + 36456*s.\nAnswer: -3*s*(s - 248)*(s - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24335280 divided by 9260?\nAnswer: -2628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*l - l = 88, 0 = -2*o + l + 38. Suppose 10*j - o = 3*j. Solve -4*p - 5 = j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(1235\/(-228)))\/(12\/280).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/5 - 81*u**4\/5 + 2184*u**3\/5 - 19604*u**2\/5 = 0. Calculate u.\nAnswer: 0, 26, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98009, 196616, 295223?\nAnswer: 393830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*q + 62*q + 62*q + 2 + 60*q in the form j + h*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 344*n + 340*n = -285, -t + 85 = 3*n. Calculate the remainder when 361 is divided by t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 6*j + 11*j - 10*j - 532 = 0, 5*j + 36 = m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -13223?\nAnswer: -13221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*q - 24318 = 45*q - 219*q. What is the highest common factor of 14280 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3704)\/(-240) - 15 - (-4)\/(-40).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965110417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {f: 18, c: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/8, -5, 1\/10 in increasing order.\nAnswer: -5, 1\/10, 11\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*t - 37 = 0, 2*a + 2*a - 5*t - 16 = 0. Suppose 10*b = a*b + 7. Suppose 0*v + 154 = b*v. What is the least common multiple of 62 and v?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68 - 0?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) -0.06 (d) -0.02 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 = -q, 4*q - 31 + 11 = 5*b. Suppose 1 = 2*z + k - 1, q*z = k - 9. Does 28 divide z\/((2\/(-55))\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 171 (c) 113 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*s + 8089 = 343*s - 8921 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 4*m - 4 = 0, 3*v = 3*m + 6. Suppose -v*n = -n - 161. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + 12)\/(1\/3). Let o = -1\/135 + -1159\/270. Find the common denominator of o and 25\/50 - (2 - 39\/n).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -26. Let v = -15 + t. Suppose -5*y + o + 42 = 2, 5 = -o. Solve 0 = -0*w - w + u + y, v*u + 16 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2 + 3*o**2 - 8*o + o + 5*o + 0*o. Let x be g(-1). Let a(n) = 4*n**2 - 3*n - 2. What is the units digit of a(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:51 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-20)\/18 + 1). What is the units digit of (2*(-204)\/16)\/(k\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxhx when four letters picked without replacement from hhhhhhhxxxhxxhhxhh.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42823299061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 0.4 (b) 4\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f. Let p(o) = -11*o + 130. What is p(m(k))?\nAnswer: 44*k + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 70*o - 10. Let c = -4 - -14. Let u be l(c). Round u to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -96*a**2 - 93*a**2 + 184*a**2 + 5*a - 5*a. Let j(m) = -83*m. Give l(j(d)).\nAnswer: -34445*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*1*(-9)\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338089 is divided by 52?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)\/v*v*v**(-1\/13)*v**(2\/7)*v**8*v assuming v is positive.\nAnswer: v**(656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 6*d**2 + d - 4. Let r be u(7). Calculate the highest common factor of r and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-1))\/(-1))\/(5389\/317)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**7\/7 - p**5\/60 - p**3\/3 - 86*p**2. What is the third derivative of j(z) wrt z?\nAnswer: -720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -11) + ((-3663)\/231)\/37.\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.23 + 2.024. Let q = -0.794 + c. Is 187 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Suppose 20 = 2*i - u*i. Find the third derivative of h**2 + 7*h**4 - i*h**4 + h**2 wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.031 (b) -6\/13 (c) -2\/5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*k + 272986*k**2 - 272976*k**2 - 85*k in the form o*k**2 + n + l*k and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 653 (b) -3 (c) 0 (d) -22\/9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-7 + (7 - -1) - 5) + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0901279 * 0.0686\nAnswer: 0.00618277394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498253, 498257, 498261, 498265?\nAnswer: 498269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*70\/(-1). Suppose -5*o = -0*o - s. Find m such that o*m + 3*m**2 + 0*m + m**2 + 2 - m = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240587.\nAnswer: 31, 72277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -603. Let f = -542.489 + s. Let y = -0.015 + f. What is y rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57073 - 2507*k + 57073.\nAnswer: -2507*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 0 + 11) - (7 + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95419*b**3 - 2*b**2 + 601100?\nAnswer: 286257*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - 5*p**3 - 563*p**2 - 5247*p - 10890.\nAnswer: (p - 30)*(p + 3)*(p + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5 - 40 = 0. Solve -h*m - 2 = 2*j - 3*j, 0 = -4*m + 5*j + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**3\/3 - f**2 + 3*f. Let y be a(-4). Solve -y*s + 2*s = -8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/12499 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 16. Suppose 2*l - 24 = -3*d, 5*d - 9*d = -5*l + 14. Let v be ((-33)\/(-4))\/(l\/112). What is the highest common factor of v and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/195*(-20)\/(-3)*(-4419)\/1964.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.04 - -22.3. Which is the third smallest value? (a) -2\/7 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j + 271. Let k be t(-14). Suppose k*g - 30 = -0*g. Solve -b = -2*s, -3*b = -b - s + g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-69))\/((-3)\/3). Let n = -5 - -4. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**6\/360 + u**5\/20 - u**4\/3 - 8*u**3\/3 - 4. Let a(w) be the third derivative of t(w). Give a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7718285768*h**3 + 23157093696*h**2 - 6709338*h + 486 = 0. What is h?\nAnswer: 9\/62122, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/108)\/(1116\/81 + -14). Put -1, -515, b, 1\/3 in ascending order.\nAnswer: -515, -1, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395617466 to the nearest integer?\nAnswer: 19890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:43 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x + 3. Let u be j(-6). Suppose -7 = u*o + 5, -9508 = 5*a + 2*o. What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104573863301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 1 - (-76)\/(-57)*(-8 + 2). Let p(j) be the first derivative of -1\/8*j + 1\/32*j**m - 1\/16*j**2 + 48 + 1\/24*j**3. Factor p(v).\nAnswer: (v - 1)*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34540515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 133 = 4*p, -687*p + 355 = 3*l - 688*p. Let m = -5 + 18. What is the greatest common divisor of l and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q + 11. Let h be d(5). Let g(y) = y**2 - 3*y - 4. Let r be g(5). What is the greatest common divisor of r and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -67*q**3 - 3*q**2 - 11*q - 6. Let z be a(-2). What is the highest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pay. Give prob of sequence py.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 6 (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 2:51 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or 308915.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -33. Suppose i*w - 3*w = 4*m - 8, -3*w + 2 = 5*m. Which is the closest to 0.7? (a) 2\/21 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001547 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14375 + 14375.1. What is the closest to 1\/2 in 58, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*a - 28, -2*a = -g - 3 + 22. Suppose -3*w + 319 = 4*m + 38, 5*m + 20 = 0. What is the highest common divisor of g and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3 + 3 + 2*j**2. Let b(n) be the first derivative of 2*n**3 - 75. Give b(r(u)).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 3, b: 4, p: 3}. What is prob of picking 2 p and 1 z?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - 5) - (-4 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 79*i**2 + 117*i - 47. Is a(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*l - 8, 38 = -4*l - 0*l - 3*h. Let c(z) = -2 - 2*z**3 - 8 - 1. Let f(b) = 0*b**3 - 2*b**3 + 3*b**3 + 4. Calculate l*f(v) - 3*c(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 106, 223, 386, 595?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420351509.\nAnswer: 12619, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 3*m + 25 = 2*m + 40*x, -5*m + 102*x + 25 = 105*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/5, 6, -37, 0, 115, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*d - 10. Let o = -0.0043 + 1.0043. Sort -0.2, 4, o, d in decreasing order.\nAnswer: 4, o, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0156 - -41.2144. Let x = z - 2.43. What is x rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1352*h**2 - 3736*h + 3736*h in the form a*h**2 + f + y*h and give a.\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 128 = 4*h + 3*x, 4*x + 26 = 2*h. Let d = -10 + h. Calculate the highest common factor of d and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, 80.8, 2\/29, -0.89, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + w = -w - 2, -2 = 2*w. Let s(h) = -h**3 + 5*h**2 + 7*h - 2. Let l be s(6). Suppose z - l - 5 = b. Solve -4*f = -7 - z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojuyqyjouuuygyuugj. What is prob of picking 2 o and 1 u?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 299\/(-10764)*3*6\/9?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 24 = -4*d, -4*j + 4*d = -0*j - 4. Suppose 545 = 4*h + h - j*b, -2*b + 10 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -6. Suppose -5*u = -5*a - 12 - 3, u = -a + n. Let r(w) = 5*w**2 + 0*w**2 + 0*w**a - 6*w**2. Let l(g) = -4*g. What is r(l(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*0.017.\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5565 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*x = 62*x + 217. Suppose -4*s + x - 24 = -5*p, -3*p = s - 6. Let n be 0\/(-1 - 0\/2). Solve u - s = -n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. Suppose 5 = -2*v + 3. Let s be (60\/d)\/(v\/(-500)). Round s to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d - 54*d + 7*d)*(-173*d - 334*d - 45*d) in the form c*d + u + x*d**2 and give x.\nAnswer: 29256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m - 4. Let c(j) = -j. Let l be 9 + (36\/4 - 23). Determine l*c(d) - o(d).\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 - 4*u. Let f(s) = -7*s**2 - 5*s. Suppose 0 = -0*x - 5*x + 45. Let n = -13 + x. Give n*f(v) + 5*j(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -47. Suppose 22 + 18 = 2*v. Suppose -j - v = -w*j. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45081623 * -0.5.\nAnswer: 22540811.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89780.2 rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(4\/8*10). Let z = -13 + 8. What is the nearest to g in -3, z, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = 345*j + 237 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*v**4 - 3228*v**3 + 91*v**2 + 43*v - 642416 wrt v?\nAnswer: 264*v**2 - 19368*v + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 625, 947, 1271, 1597, 1925, 2255?\nAnswer: 2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*g + 62. Let l be g + -2 - (-2)\/(-1). Let t = l + -6. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3657041*k**6 + 5*k**3 - 9618768*k**2 + 2*k - 1.\nAnswer: 438844920*k**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-9)*t**(13\/2) assuming t is positive.\nAnswer: t**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2999880 and 23\/10920.\nAnswer: 20999160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldddnnndndolylrln. Give prob of picking 3 n and 1 d.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, u: 5, k: 3}. Give prob of sequence kuk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = q + 30. Let n = 32 + -30. What is the third derivative of q*a**n - 12*a**2 + 5*a**6 + 3*a**6 wrt a?\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s - 4*z + 4, 0 = -3*z + 9. Suppose -5*u = -3*v - 7, 0 = -2*v + s*v + 3*u - 8. Let l(y) = -10*y**2 + 1. Determine l(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 46, 118, 260, 496, 850?\n\"Answer: 4*y**3 - y**2 + y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -25*p - 626. What is the least common multiple of u(-27) and 154?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -333 + 724. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.21 + 0.31. Let l = s + -23.1. Let b = l - -29.0056. Round b to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b + 93. Suppose 8*u - 18*u = -60. Calculate the remainder when g(u) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (180\/75)\/((-6)\/(-20)). Let o = h + -6. Suppose 2*j + i = 107, 3*i - 105 = -o*j - 0*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 22. Calculate c(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 3:58 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75.4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141786011, 141786013, 141786015, 141786017, 141786019, 141786021?\nAnswer: 141786023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:04 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/17 + 2074148*h**4\/17 - 14519188*h**3\/17 - 56002432*h**2\/17 - 60150718*h\/17 - 20741620\/17 = 0.\nAnswer: -1037081, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379698.\nAnswer: 2, 3, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 488\/10 - (-6 - -4)\/10. Let t = g + 1. What is the lowest common multiple of 110 and t?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 175 - 127 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 1, q: 1, w: 1}. What is prob of picking 1 w and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692, -406, 86, 796, 1736, 2918?\nAnswer: 4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 2 + 1 - 6 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 23 - 2*t**2 - 9\/4*t**4 + 0*t + 0*t**3. Let b(o) = 26*o**3 + 11*o. Give -4*b(v) - 11*r(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 5678.\nAnswer: 45424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*w + k, 0*k + 35 = 3*w + k. Suppose s - 3*a = w, -s + 23 = 2*s - a. Suppose s*t = 6*t + 335. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p - 185. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 1. Suppose -5*g + 25 = 3*w, 4*w - 1 - 14 = -3*g. Let s be a(w). Let c = -0.1 - 0. Sort c, s, 0.3 in descending order.\nAnswer: s, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 9*d + 22. Let m be 5 - (-2 - -6 - 10). Give k(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 354644743 to the nearest 1000000.\nAnswer: 355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*(-10)\/425*17?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.123 + -6.623. Suppose -4*t = -5*p - 15, t - 3*p = 4*t - 18. Let s be (20\/(-125))\/(2\/t). Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**4\/24 - 539*r**2. Let d(o) = -1. Let w(b) = 13*b + 1. Let h(g) = d(g) + w(g). Give u(h(i)).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-139106)\/15270 + (-52 - -63). Let r = m - 12\/509. Let 2*z + 6\/5*z**4 - 2\/15*z**5 - r*z**3 - 14\/15 - 4\/15*z**2 = 0. Calculate z.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93020 and 744160?\nAnswer: 744160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3786*o = 3497*o + 21097 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*p - 8, 2*p - 65*y + 69*y = -18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/456 and (2737\/252 + -11)*(-5 - -51)?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 446576 and 10848.\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4389 - 4389. Which is the nearest to -2\/11? (a) 3\/2 (b) -14 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4197074?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c - 1\/6*c**2 + 2\/3.\nAnswer: -(c - 2)*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 6*f**2 + 14*f + 2. Let d be z(8). Let t be d\/(-21) + 50\/6. Calculate the highest common factor of 63 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119693 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7*5*(-29)\/1421\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 154455*m**3 - 1192894575*m**2 - 1192740125*m.\nAnswer: -5*m*(m + 1)*(m + 15445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3795*z + 2 + 1727*z - 2.\nAnswer: 5522*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.454132687433 take away 0.1?\nAnswer: -19.554132687433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:26 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/305 - -27153\/610. Let h(b) = 2*b**2 - 8*b + 4. Let c be h(5). Find the common denominator of (-8)\/(-16) + c\/5 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*-1 + -5 + 2 + 3 + sqrt(52).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(1 - -2)*(35 + -44). Let y(v) = 6*v - 2. What is y(p)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50989420.\nAnswer: 2, 5, 31, 82241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -382200 rounded to the nearest 1000?\nAnswer: -382000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15128)\/(-183))\/62)\/(6\/(-99)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18285 in -3, -0.2, 4, 0.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 496*b + 33259. Give t(78).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4728, -4727, -4724, -4719, -4712, -4703, -4692?\nAnswer: -4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -84. Suppose 0 = -3*p - d*v + 70, v - 35 = -p - 10. Solve -5*a = 5*s + p, -a = 3*s - 5 + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 17 + 47 - 9 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14209260*b**2*f*w + 28*b**2*f + 3*b**2 + b - 52*f + 2 wrt w.\nAnswer: -14209260*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c5 + -5?\nAnswer: -5ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 - 16*z**2 - z - 13. Give k(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -18, 28, -0.3 in decreasing order.\nAnswer: 28, -0.3, -2\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174 + 222. What is the units digit of ((-276)\/p)\/((-1)\/64)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-66))\/((-2)\/18). Let a = 1057 - 1057. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -3)*74\/4*-2*(-10467)\/(-41868)\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.82 - 18.42. Let j = -0.36 + 0.06. What is the nearest to 6 in -4, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n - 2 - 3*n)*(13 - 7 - 11).\nAnswer: 20*n + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 + 62*r + 180. Calculate x(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 2.8.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 3}. What is prob of sequence tt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760 = 15*k - 19*k. Let s = -5 - k. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14970*(-1 + 1 + -5). What is the hundreds digit of (-4)\/(-38) - (-11 + n\/95)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -451*f**2*k*n**2 - 3*f**2*k*n - 5*f**2*k + 64*f**2*n - 2*f*k*n**2 + 5*f*k - 610*k*n**2 - 13*k wrt n?\nAnswer: -902*f**2*k - 4*f*k - 1220*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 515 = 5*u - 103, 4*u = 5*i + 489. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20121121 (base 4) to base 7.\nAnswer: 202162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.3, 5, -18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*m = 4*u + 1216, -2*u + 3*m + 2468 = 0. Suppose 2*g - u - 326 = 0. Let i be (6\/9)\/(14\/g). Calculate the highest common factor of 333 and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3*v**3 + k**3*v + 665*k**2*v**2 + 7*k*v**3 - k - 13*v**3 - 2 wrt k?\nAnswer: 12*k*v**3 + 6*k*v + 1330*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(3\/7))**(-17)\/(w**(-3\/7)*w*w**(-3\/2)) assuming w is positive.\nAnswer: w**(-361\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 23 = -l, -5*l = 15. Solve -8*v + 9*v = -c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyfnh. What is prob of picking 1 d, 1 y, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, c: 4, g: 1, i: 2}. Give prob of picking 2 i and 1 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/683 (b) 5 (c) -1\/8 (d) 9 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13911845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 25689, 0 in increasing order.\nAnswer: 0, 2, 5, 25689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 + 6*u + 5. Let o be f(-4). Let n be ((-10)\/15)\/(((-30)\/(-9))\/(-5)). Let z = 7073 - 7078. Sort 3, n, o, z in ascending order.\nAnswer: z, o, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29230 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7018*s**2*x**3 - 21*s**2*x**2 + 9*s*x**4 + 2023*s wrt x.\nAnswer: -42108*s**2 + 216*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/11, 292, -0.4?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -72*d**2 + 47*d**2 - 32*d**2 - 5*d**2. Let o(b) = -b**2. Give o(p(h)).\nAnswer: -3844*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, w: 1, h: 2, g: 4, x: 2}. Give prob of picking 1 h, 1 x, and 1 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-1 + 1))*(-5)\/2. Which is the second biggest value? (a) u (b) -1\/3 (c) 24 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 2 + -22 + 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1296 and 2.4097.\nAnswer: 1298.4097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/i*(i*i\/(i*i*i**(1\/34)*i*i))\/i assuming i is positive.\nAnswer: i**(-69\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-9))\/11*-3*(-10)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert d1 (base 14) to base 10.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*w + 959*w = -210 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -106 + 26. Let n(f) = 7*f**2 - 3*f + 2. Let i be n(2). Let j be i\/40 + 7\/z. Which is the closest to -0.1? (a) 4 (b) 1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21*q + 2. Let u(o) = -31*o - 23. What is k(u(s))?\nAnswer: 651*s + 485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 16*b**2 + 15*b + 50. Let z be h(15). Let p be -186*5*z\/(-15). Round p to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -27. Let p = 0.392 - 0.092. Which is the second smallest value? (a) g (b) p (c) 1 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -277, -0.52, -9?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:43 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168266)\/(-606) - 275 - (-1 - -48)\/(7 + -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 55 + 31 + 27 - d. What is v(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f**2 - 26*f - 9. Let w be b(7). Let j be (-170)\/(-50) - w\/((-10)\/(-6)). Let m = 4 - 3. What is the closest to m in j, 0.1, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 10:08 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8737*z + 43681. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6256594 is divided by 1042765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3) + (-4)\/((-4)\/21). Solve -d + 5 = -3*g, 3*d + 6 - v = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*50\/15.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.4505 times -128\nAnswer: 313.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 15?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 592924901 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-156)\/39 - 311*-1. Suppose n - 4*a = 261, -4*a - 1106 + i = -3*n. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441758 divided by 3?\nAnswer: 480586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -17. Let p = 31 - q. Solve -5*y + p = -5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2308*b - 1771182 + 1771182)*(0 + 2 + 0 + (5 - 4 + 0)*(0 - 2 + 0) + 4 - 5 + 0).\nAnswer: 2308*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6252.1 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zooozoomoxdoodzz. Give prob of sequence dmo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 346\/4 + (-6)\/12. Let z = g - -76. What is the units digit of (-2)\/(-10) + z\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8995862973 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1735457, -1735448, -1735439, -1735430, -1735421?\n\"Answer: 9*i - 1735466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*3)**2 + 0 - (sqrt(612) + -2*(sqrt(612) + sqrt(612) + -2))**2 - 2*(sqrt(612) + 2 + sqrt(612))**2*-2) + 5.\nAnswer: 336*sqrt(17) + 9797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.068 - 0.0561954075.\nAnswer: 0.0118045925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 21*c + 200 = 0. What is the least common multiple of 2 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-6 - 7) + (-2 - -4 - -3) + -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12177464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 4*b + 4. Let x be w(7). Suppose -2*f - x = 5*t, -5*f = -4*f - 2*t + 35. Let z be 170\/f*(0 + 5). Round z to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-21)*b\/(b\/b**(-1\/11))*(((b**(-7\/4)\/b)\/b)\/b)\/b assuming b is positive.\nAnswer: b**(-1181\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 2. Let h = 12 - 12. Let q = h - 0.2. Sort j, 4, q in increasing order.\nAnswer: j, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 plus -6497829?\nAnswer: -6497201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7 - 1. Suppose -n*k + 42 = k. Let c be 6\/(-8)*(-4 - 484\/33). Is c != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/4, -134, 0, 1\/12.\nAnswer: -134, -3, 0, 1\/12, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 4*x**2 + 3. Let i be s(1). Let r(p) = -4*p - 4. Calculate r(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 25 = 4*t. Let m be (12\/t - 2) + (-6)\/18. Let c(o) = -10*o + 1. Determine c(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -158*g**3 - 141?\nAnswer: -474*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59892 by -4.\nAnswer: -14973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13488632*i**3 - 2*i - 11610249?\nAnswer: -80931792*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 0*c**3 + 3*c**3 + (c + c**2 - c)*(-c - 4*c + 4*c) - c**3 + 2*c**3 + 6*c**3)*(-2*c**2 - c**2 + c**2).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/(-161)*(-14)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3736?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77\/75 + 65921\/150. Let o = x + -7087\/16. Let b = -1149\/10 + 105. What is the common denominator of o and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-16))\/((-1)\/10)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -155*a**5 + 795*a**4 + 10130*a**3 + 3640*a**2 - 55200*a + 7040 = 0. Calculate a.\nAnswer: -4, 4\/31, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3816 + -1.3994256. Round d to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/127086 and 73\/127086?\nAnswer: 127086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u. Let k(r) = r - 2. Let l(f) be the second derivative of 5*f**3\/6 - 9*f**2\/2 - 9*f. Let c(d) = 9*k(d) - 2*l(d). What is -8*c(t) + y(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542385983?\nAnswer: 542385983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60616 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*n + 1 - 1 - 307*n - 93*n to r*n + j and give r.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 8484.972.\nAnswer: 254.54916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 74966817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52661 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145354629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -532 + -4132?\nAnswer: -4664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 3. Let y(h) = h**2 - 1. Let o(l) = m(l) + 3*y(l). Let b(n) = 6*n**2. Suppose 6 = 2*v, 7*v = -3*x + 2*v + 30. Give x*o(j) - 6*b(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13093279*b**2 - 17711244*b wrt b?\nAnswer: 26186558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088191983.\nAnswer: 179, 431, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 1. Let o be z(33). Let y = o - -70. Determine u, given that 3\/7 + 3\/7*u**y - 3\/7*u - 3\/7*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*s + 20, 0*g - 25 = -5*s + g. Suppose 13 - 5 = 4*t - 4*l, 8 = s*t - 4*l. Factor t + 2\/5*r**5 + 2\/5*r**3 + 0*r + 0*r**2 + 4\/5*r**4.\nAnswer: 2*r**3*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.04 - 2.455. Let m = u + 0.285. Is -2 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**5 + 2*m**2*s + 12944637*m**2 - 1179*m*s - m - 2151*s - 27 wrt m.\nAnswer: 80*m**3 + 4*s + 25889274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*p + 2*a + 6765, -5*p = 3*a - 11299. Suppose -p = -5*b - 3*s, -b + 144 + 330 = -5*s. What are the prime factors of b?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + 3 - (167 - 149).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*l**4 - 15370*l**3\/3 - 26056*l**2\/3 - 88*l\/3 = 0 for l.\nAnswer: -11, -2, -2\/591, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o - 5. Let h be y(-2). Solve -h = -5*a + 10*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 2. Let n(g) = -3*g + 2. Let b = -1940 - -1944. Calculate b*q(x) + 3*n(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 79*c - 8 = -77*c, -h = 5*c + 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13045 is divided by 363?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21702?\nAnswer: 2, 3, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*m + 47 + 613, 5*m - 2*u = 818. Suppose -x + 10*x = m. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 35*k**2 - 1129*k - 1165. Give d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 2006784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/3, -0.7, -1, -33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13113*(-6)\/(-186)*1*2\/18.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3*g*s + b**3 - 31633*b*s + 17*g*s + 613*g wrt b.\nAnswer: -6*b**2*g*s + 3*b**2 - 31633*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-8)*((d*d**(-1\/13)*d*d)\/d)\/d)\/(d*d**(1\/2)\/d)**(-32))\/((d*d**9)\/(d*d*d*(d\/d**5)\/d*d))**(-1) assuming d is positive.\nAnswer: d**(272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:38 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035733089 rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 327.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56.4 + -56. Round b to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-4\/3)*l*l)\/l)*l)\/(l\/(l**6\/l*l)))\/(l**(-1\/4)\/(((l*l**8)\/l)\/l)) assuming l is positive.\nAnswer: l**(175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = t + 33, -6*x + 44 = -21*t + 22*t for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 46 - 36. Suppose t - 235 = -2*n, -w*t + 0*t + 473 = 3*n. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*63\/90*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-1 + 10 - 13) - -21\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + t = -18, -2*s + 3*s - 3*t + 2 = 0. Let u = s + 11. Find h, given that 3*h**5 + h**u - 2*h**3 - 2*h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddcdcc. What is prob of picking 1 c and 3 d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7135920*f**3 - 24*f**2 + 17092*f.\nAnswer: -42815520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10195*f**2 - 3406*f**2 - 2*f**3 - 3379*f**2 - 3410*f**2 + 0*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w + 0*w + 2*w - 4*w + 0*w + (w - 12*w - 13*w)*(2 - 5 + 1))*(-95*w - 60*w + 68*w).\nAnswer: -4176*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 14*v = -1008. Suppose v = 2*h + 4*h. Suppose -4*d + 5*n + 194 = -d, 4*d - 3*n - 266 = 0. What is the remainder when d is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129402 and 24174?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/12)\/(459\/136))\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3\/4 + 9*c**2 + 81*c\/4 + 21\/2 = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -18, -122, -322, -648?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41418971?\nAnswer: 11, 349, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1465868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -8518698\nAnswer: -8518698.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 1. Suppose 484 = -83*r + 1065. Let l(h) = 5*h + 7*h - 13*h. Determine r*l(z) - 4*c(z).\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 565. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-36)\/6))\/(-8*13\/3848).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126896444\/3 or -42298816?\nAnswer: -42298816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 0.317\nAnswer: 2.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 303\nAnswer: 30.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4827185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 5*s**2 - 5*s + 2. Let l be g(-4). Let w = 546 - 551. Sort 4, -4, l, w in decreasing order.\nAnswer: l, 4, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*3\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 7635536?\nAnswer: -7635541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -104675.792515 from -412.\nAnswer: 104263.792515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -1065724?\nAnswer: -1065721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*l - 159*l + 775 + 47 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.10735 millimeters in micrometers?\nAnswer: 47107.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/3, 1\/16, 13, -1\/4.\nAnswer: -2\/3, -1\/4, 1\/16, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -282*b*v**5 + 4477*b*v**3 + 49808*b*v**2 - 66*b wrt v.\nAnswer: -16920*b*v**2 + 26862*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/8519 and -48\/247.\nAnswer: 2104193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1818 times -19959\nAnswer: -36285462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j + j - 2588 + 2426 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19764, 79048, 177864, 316218, 494116, 711564, 968568, 1265134?\nAnswer: 1601268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1016\/1651*195\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 749400108 to the power of 1\/2, to the nearest integer?\nAnswer: 27375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -204374 divided by -101?\nAnswer: 204374\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/109))**(21\/8)\/((o\/(o**2\/o))\/(o\/(o\/(o*o*(((o**(20\/7)*o*o)\/o)\/o)\/o))*o*o)) assuming o is positive.\nAnswer: o**(17729\/3052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/5 + 12702*n**2\/5 - 1486888*n\/5 = 0.\nAnswer: -12818, 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, p: 3, z: 3, u: 2}. Give prob of sequence uupz.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let y(b) be the second derivative of b**6\/120 + 3*b**3\/2 - 5*b. Let m(p) be the second derivative of y(p). Determine o(m(v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 1, a: 1, n: 1, e: 1, p: 1}. Give prob of sequence nwak.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 201, 95, -87, -369, -775, -1329?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 7*x + 5. Let a(d) = -3*d**2 + 10*d + 7. Let v be 3 - 2*(-6)\/(-4). Let f = v + -7. Give f*s(p) + 5*a(p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 98 = 33*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:28 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 39880271140 and -11.\nAnswer: 39880271129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let m(a) = 4*a. Let f(l) = 12*k(l) - 2*m(l). Let s(t) = -t**2. Determine s(f(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29256 and 112996?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*k = -0*c + 10, 3*k = 5*c - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199*k*w**2 - 119*k*w - 40899*w**2 + 1 wrt k.\nAnswer: 199*w**2 - 119*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:47 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(-3 + 2))\/((-2)\/(-16)). Calculate the remainder when 64 is divided by 106\/h + (-1)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-18)*3)\/(1\/(-2)). Let l(x) = 50*x. What is the tens digit of l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -673.575106?\nAnswer: 673.675106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4 + 289*z**3 + 1761*z**2 + 2651*z + 1180 = 0. Calculate z.\nAnswer: -4, -1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -415, -0.019, -2?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 10, -718.\nAnswer: -718, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1783\/4158 - 29\/66. Let m = p + -8188\/189. Let r = m + 43. What is the nearest to 0.1 in -2\/11, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78197, -156381, -234565, -312749?\nAnswer: -390933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 14*b + 66. What is w(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 4 - 4 + (-a + 0*a + 4*a)*(298 - 177 - 359).\nAnswer: -713*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.6 - 0.9. Let o = -13 - f. Let n = -9.78 + 9.8. What is the third biggest value in o, 4, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 = -32*q + 6*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 20 = 41*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59596910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 11*z**2 - 13*z - 22. Calculate v(12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.42353+-0.48\nAnswer: -0.90353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-75)\/(-12) + -5)*4. Let p = -54 - -105. Suppose 0 = 5*s - p - 19. Solve w*h = 4*y - 13, -s = -2*y - 0*y + 4*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024 = 5*t - 4994. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08626694 rounded to three dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 714 and 5746.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, 53, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (10 + -5 + (2 - (5 - 13) - 24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -1322*k + 1315*k. Let c(a) = a**2 - a - 1. Let o(z) = -z**3 + 3*z**2 + 32*z - 3. What is k*o(f) + 3*c(f)?\nAnswer: f**3 - 35*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**2)**(-21\/2)*n\/n**(6\/5)*n**(-7))**(-46))**10 assuming n is positive.\nAnswer: n**17802","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*v + 325, 3*v - s + 405 = 8*v. Suppose 0 = -v*m + 84*m. Suppose m = 8*u + 10*u - 486. What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*q + 1 = 0, 53*q = 3*d + 57*q + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 1. Let c(b) = b + 4. Calculate -c(x) - 2*n(x).\nAnswer: 2*x**3 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 27\/4645?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from aiiiiiiiaai.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 47 - 11)*(10 - 7*h - 10)*(0 - h + 0).\nAnswer: -392*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4169*y**5 + 2032*y.\nAnswer: 83380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Find the second derivative of w**4 - 5*w - 40*w**n + 40*w**3 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 5. Suppose 0 = 2*w - 19 + 5. Let m be o(w). Suppose 2*a - 2*j = 30, -j = 2*j + 3. Solve -5*z = 3*f - 5, m*z + a = 6*f - 4*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/3))*l**0\/l*l*l**(-3)*l**11*l)**(4\/11) assuming l is positive.\nAnswer: l**(112\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36804 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117848 - -270807. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offfffffy. What is prob of picking 2 f?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + -4 + (-86 - -93)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*d + 6, -2*n + 2 = -4*d - 10. Suppose 1 = -n*o + 7. Let m = -1 + o. Solve m*x + 2 + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from {i: 2, o: 5, z: 1, r: 2, q: 6, m: 3}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 + 86 + (12 - 1) - 22.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 15*p**2 + 4*p - 27. Suppose 27*s = 5*s - 264. What are the prime factors of l(s)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 28*c - 116 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*l + 63*l + 3 - 3.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2442*g + 2443*g = -3*m + 14, -9*g + 94 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147 + 75 - -46) + (-88 - 5).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269400*d**5 + 313116*d**2 wrt d.\nAnswer: 16164000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -347\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4052270 and 43\/10.\nAnswer: 4052270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from booobooboobobobooob?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 15, z: 3}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735 = -2*c + 3*k, -3*k = -27*c + 32*c - 1785. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.6501079?\nAnswer: 0.19503237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 2*y - 29. Calculate u(-12).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9.97 (b) 0.3 (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*v = 120*v + 270 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -108027, -431912, -971727, -1727472, -2699147, -3886752, -5290287?\n\"Answer: -107965*y**2 + 10*y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*b + b = -92, 4*b = -2*u + 32. Suppose d - 31 = -4*y, 0 = -5*y - 5*d + 15 + 5. Calculate the remainder when u is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9881292 divided by -1444.\nAnswer: 6843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 199, 426, 755, 1192, 1743, 2414?\nAnswer: 3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/6)*c\/((c*c**(1\/3)*c)\/c)*c)\/(c*c*c\/c**(-1\/4)*c\/((c\/(c**3\/c))\/c)))\/((c*c**3*c*c\/c**(3\/5)*c)\/(c**(-1))**36) assuming c is positive.\nAnswer: c**(-963\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 116*q + 45. Let u be l(-58). Solve -50*x - 25 = -u*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**3*r**2 - 809*b**3 - 2*b**2*r - 2565*b*r**3 - 2*b - r wrt r?\nAnswer: -8*b**3 - 15390*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -2*z + 374. Let a = -31 - z. Suppose -2*o - 3*o + 170 = a*i, -o + 34 = 3*i. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 20. Solve -d + h = 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f - f + 3*f)*(-101*f**3 - 10*f**2 + 107*f**3 + 13*f**2) as b*f**4 + m*f**2 + o + s*f**3 + u*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 6:47 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1*(-1)\/12)\/((-14)\/728*8)\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2145 (base 6) to base 7.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/20 + x**2. Let v(f) = 237*f**2 - 80*f**2 - 76*f**2 - 78*f**2. Give p(v(s)).\nAnswer: 27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 674080 and 67408.\nAnswer: 674080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10) - 1\/15)*(-18)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23517 is divided by 412.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 8:42 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let j(f) = -2 + 87*f + 3 + 269*f - 81*f - 2. Determine j(p(k)).\nAnswer: -550*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmlm. What is prob of picking 1 l and 3 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6296350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.043, -2, 3\/89512?\nAnswer: 3\/89512","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/120 - g**5\/60 + g**4\/6 - 4*g**3\/3 - 779*g**2. Determine o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976919148265 plus -3.19?\nAnswer: 1976919148261.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b374 - 4?\nAnswer: b370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(3\/(-3))*-16. Suppose f = -b + 28, -4*f + i = b + 1. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 55?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/((-225)\/(-36)))\/((-2)\/(-20)) + 6)\/123?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -13. Let r = -28305 + 28306.5. Sort r, 4\/5, m, 2\/7.\nAnswer: m, 2\/7, 4\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10096 and 61\/15144.\nAnswer: 30288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:37 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*m - 42 = 0, -m - 3 - 59 = -b. Let l be b\/5 + (-6)\/(-15). What are the prime factors of (-30 - 0)*l\/(-30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - (-33)\/7. Suppose -3*m - 3*z - 5 = -2, 3*m - 25 = 4*z. Find the third derivative of 3*f**2 + 15*f**m - 15*f**3 - i*f**5 wrt f.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 46, 89, 148, 223, 314?\n\"Answer: 8*w**2 + 3*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 295*f**3 + 14*f**2 - 75*f - 174. Let u be r(14). What is u rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (827 - 827 - 22*w)*(w**4 - 3*w**2 + 3*w**2) + (1 + 2*w**3 - 1)*(5*w**2 + w**2 - 4*w**2).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Let p(k) = -9*k + 1. Let q(w) = -p(w) - 2*z(w). Let d be q(2). Let u = -5 + 5. Solve u = -4*c + d + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2529, -4921, -7035, -8733, -9877?\n\"Answer: 23*o**3 + o**2 - 2556*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 5*r + 60. Calculate the highest common divisor of r and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = s - 23, 0 = 138*a - 137*a - 2*s + 31 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842514849.\nAnswer: 3, 11, 17, 500603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000101010010110 (base 2) to base 8.\nAnswer: 605226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 2.913425.\nAnswer: 1.16537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*k - k**2 + 22*k**4 + 29*k**4 - 29 - k**3 - 17*k**4 - 49*k + 31 as o*k**4 + g*k + p + z*k**3 + l*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -103084 take away 4?\nAnswer: -103088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*c - 5*c. Suppose c*k - 1169 = -404. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s = -60*s + 1680. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**3*n**3 + k**3*n + 46*k*n**3 + 411*k*n**2 wrt n?\nAnswer: -30*k**3 + 276*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/7 - 75*h**2 - 516*h\/7 + 1044\/7.\nAnswer: -3*(h - 1)*(h + 2)*(h + 174)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let n be 50399937\/42 - (-6)\/4. Suppose -n = 3*o + x*o. Round o to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50675129*h**2 - 39145253 wrt h?\nAnswer: -101350258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30985 - -289?\nAnswer: 31274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -19 + -9 + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2203, 4435, 6677, 8929, 11191?\nAnswer: 13463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19663526 is divided by 383.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*l**2*x - 13667*j**3*l**2 - 4*j**3 - 129*j**2*l*x + 2*j**2*l - j**2 - 9*j*l*x + l**2 wrt l.\nAnswer: 4*j**3*x - 27334*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -125, -197, -269, -341, -413?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -23*c + 22*c. Find the first derivative of 46 + 56 + 15*v + 90*v - c wrt v.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 34?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 6.\nAnswer: -12, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150 or -152?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -23.9.\nAnswer: 71.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 146\/511*(-1)\/(-6) and -61\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5008 - 3810. Round w to the nearest 10.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -67, -25, 57, 191?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05726452 rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvoovoo. What is prob of sequence vvoo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*r**4*v - r**4 - 14726*r**3*v - 2*r**2*v + 727850*r**2 - 9*v wrt r?\nAnswer: 240*r*v - 24*r - 88356*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15901496 + -5?\nAnswer: -15901501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-123)\/(-6) + (-13)\/(-26) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4\/4 + 5431*w**3\/4 - 238995*w**2 + 14231700*w - 283554000 = 0.\nAnswer: 60, 5251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2.04. Let k = 0.68 + -1.22. Let x = k + b. What is the third smallest value in x, 0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((-112)\/2240)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - ((19 - 0) + -24 - -16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 315 + -319. Let m(j) = -j + 2. Let g be m(-3). Let a = g + -8. What is the nearest to 2 in 5, a, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -779*-5.\nAnswer: 3895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -11*g**2 + 4*g - 3. Let z be v(2). Let c = -632.5 - 31.5. Let t = c - -665. Is z at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) - ((sqrt(28)\/sqrt(4))**2 + sqrt(7))) - (sqrt(7) - (-1*sqrt(7) + sqrt(7))*-4).\nAnswer: -9 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(6\/(-3) - -3). Let j(i) = i + 8 - 8*i + i**3 - f - 4*i**2 - i**2. Give j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/((-7043796)\/1504)*(-2)\/(-8)*(-2)\/2?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/60 + v**4\/3 - 5*v**3\/6 + 2*v. Let c(q) be the second derivative of h(q). Give c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0. Suppose -2306*k + 106 = -2253*k. Sort -2, k, -0.05, a in descending order.\nAnswer: k, a, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-0.14565329895\nAnswer: 0.25434670105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5300\/(-371))\/(4\/(-42)). Suppose -3*l = 3*d + p, -l + 4 = -5*d + 54. Find the common denominator of l and -8\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324400430 (base 5) in base 15?\nAnswer: -46472a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13789 - 535. Does 141 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(-2\/129))*h)*h**19*h)\/((h**(-19)\/h)\/(h\/(h**(-4\/29)\/h))) assuming h is positive.\nAnswer: h**(157580\/3741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x - 13. Let j = x - 19\/3. Let n = 1.9912 - -0.0088. What is the closest to -1 in -2, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-3)*24\/8. Let m(h) = h - 43. Let s be m(q). What is s rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 36 = -4*m, -41*d + 24*d - 5*m - 2065 = -120*d for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190600.\nAnswer: 2, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324181464.\nAnswer: 2, 3, 1381, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*w = -0*m + 16, -3*w = m + 4. Suppose m*s = s. Suppose 9*j - 4*j + 1315 = 5*b, -2*j = s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 37100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 2351\/21. Let a(x) be the second derivative of -2\/105*x**6 + 1\/21*x**4 + 0*x**2 + 3*x + 0*x**5 + 0 + 1\/147*x**7 - i*x**3. Factor a(o).\nAnswer: 2*o*(o - 1)**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 432\/5. Let c = -31 + 145. Let l = 119 - c. Sort 3\/5, l, z.\nAnswer: z, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -8. Suppose -2*r = 2*r + g. What is the units digit of (-2 + (-2 - r))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 465?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -441 + 182. Let a = r - -483. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1194663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48, -62, -246, -504, -836, -1242, -1722?\n\"Answer: -37*l**2 + l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -710 and -260.\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j - 227. Let x(d) = 12*d - 918. Let u(t) = 9*b(t) - 2*x(t). What is u(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 214, 366, 536, 730, 954?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332256570?\nAnswer: 2, 3, 5, 71, 389, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*t + 26, 6*v - 239*t + 115*t - 14 = -122*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 5. What is the tens digit of j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 + 5*o**2 + 10 - 10*o + 3*o - 4*o**2 + 3*o. Calculate i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + (-15 - (-7 + 1 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 less than -46287?\nAnswer: -45893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3 - 100*i**2 + 2*i + 100 = 0.\nAnswer: -50, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 24 = 38 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 + -154.999815. Round v to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 30 = -3*d. Let t be ((-12)\/d)\/(1\/(-5)). Let k = 4 - 2. Solve l = k*j - t, 2*l + 8 = 4*j + 4*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 343 + -297. Let a(p) = p**3 - 3*p**2 - 2*p. Let g be a(-2). Let w = g + 32. What is the remainder when u is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3794643, 3794883, 3795283, 3795843, 3796563, 3797443, 3798483?\nAnswer: 3799683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 20, -5*f - 4*q - 45 = -0*f. Let l(v) = -v + 12. Is l(f) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 26*f + 10 = 0. Is (f\/(-4))\/((-3)\/(-6168)*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:51 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + w**2)*(-4 - w + 4) + (-w - 5*w + 16*w)*(2 - 2*w**2 - 2).\nAnswer: -21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iif. What is prob of sequence fii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:21 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = 6967*r - 6903*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*a = 10729 + 2297. Let g = -88 + 167. Is a smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = -0*l + l, -4*m = -5*l + 13. Let u(t) be the second derivative of -t + 7\/2*t**2 + 0 - 1\/3*t**3 + 1\/20*t**5 - 5\/12*t**4. What is u(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1912345 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37714 + 53133. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861919 greater than or equal to 4861918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6571*l + 1. Let p(b) = 16*b**2. What is f(p(g))?\nAnswer: 105136*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j + 48*j + 21450 = 0. Let l be 4\/18 + j\/(-99). Which is the closest to 1? (a) l (b) 0.3 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18001 - 4?\nAnswer: 17997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(700)*2*-3)**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700877166 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s\/(s\/(s*s**(-2\/3)*s))*s)*s*s)**(-5\/17)\/((s*s\/s**(-6\/11))\/(s*s*s**3*s)) assuming s is positive.\nAnswer: s**(2158\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289612 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 112.8.\nAnswer: 112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/4)\/(3\/2436). Let k = 2406 + j. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -670 at most -672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (57\/(-76))\/(54\/(-48)). Solve -1\/6*f**4 + 1\/2*f**3 + x*f**2 - 2*f + 0 = 0.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288195643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2022, -2.\nAnswer: -2022, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-18)*1*602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 28096107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1364 in 2, 5, -3\/4, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*h - 2*h. Let j(s) = -s**2 + s. Let b be j(1). Suppose -n - 55 = h*r - 8*r, b = n - 1. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 8 + 6*d**2 + 13 + 5*d - 1. Let a be i(-5). What is the units digit of (1*-9)\/(a - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7132 to two dps.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:39 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*b. Suppose 5*h = -4*o - 1, -2*h - 2*o - 3 = -3*o. Let q be 2\/h - (-44)\/24. What is the biggest value in b, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) + -3 + 3)*-6.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 15*s**2 + 7*s + 39. Determine d(-11).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26157926 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3*(-9)\/(45\/10). Let b(j) be the second derivative of -i*j**4 + 5\/3*j**3 + 0 - j**2 - j. Factor b(x).\nAnswer: -2*(x - 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2466?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1\/34 (b) 2 (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + (-39)\/26. Let u(g) = 6*g - 2*g - g + n*g. Let x(k) = -13*k. Determine x(u(w)).\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(38\/133)\/((-2)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -322 - 6?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 741985627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*j - 3 = 6, 0 = -n + 5*j - 7. Suppose 7 = -n*h - 5. Let o = h - -15. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.4929 rounded to zero decimal places?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, 183, 507, 827, 1143?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 146319*m + 2. Let p(j) = 3*j. Give r(p(a)).\nAnswer: 438957*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-513) - 91946\/1178\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/440*((-10)\/6 + -1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/8 - 2\/(-8). Let i be (-3)\/(-9) - (-44)\/x. Let g be (-1)\/(-4) - (-335)\/20. Is g greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = -p. Suppose 3*n = -0*x + 3*x - 3, 0 = -3*n + 4*x - 7. Suppose 3 = -4*u + n*u. Put u, p, 0 in descending order.\nAnswer: 0, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (33 - (44 - 17))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507742460.\nAnswer: 2, 3, 5, 7, 23, 52027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:04 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(45) + 1)**2 - (sqrt(5)*-2 + 5))*3.\nAnswer: -153 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - 0.03. Let k = -0.089 + 0.366. Let j = k - -0.023. Put 0, 4\/3, j, q in decreasing order.\nAnswer: 4\/3, j, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4 - 542*a**3 + 34174*a**2 - 603658*a + 570024 = 0.\nAnswer: 1, 29, 52, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 10) in base 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 17914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggucuuggucccgpuucu. Give prob of picking 3 g and 1 u.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1395 and -513161311.\nAnswer: -513159916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5585532*a**3 - 2*a**2 + 813*a - 870 wrt a.\nAnswer: -33513192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:49 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -298753, -597500, -896247, -1194994?\nAnswer: -1493741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 6711 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -443876 + 0.2?\nAnswer: -443875.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18298 is divided by 145.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -0.16900991314412?\nAnswer: 3.83099008685588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose 5*k - 17 = -2*n + 7, -2*k - 2 = -5*n. Suppose v = n*g - 10. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069697431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - t = 1064, 2*m + 4*t - 188 = 326. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y**2)\/(y**(-8)*y**5*y)*(y**2)**(5\/2)*(y*y*y**(2\/11)\/y*y)\/((y\/(y**(-4\/7)\/y)*y)\/y*y) assuming y is positive.\nAnswer: y**(509\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(0 - (3 + -131)). Calculate the highest common divisor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p - 40. Give f(-32).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212.1 - 212.52. Which is smaller: -1\/2 or m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + 2*f + 4. Let w(k) = k + 1. What is a(s) - 2*w(s)?\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 12 + (-858)\/33.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-28) - (1 - (-2391)\/21). Let u = -105 - n. Calculate the greatest common factor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*u - 180*u - 12*u**4 + 0*u**2 + 105*u + 12*u**3 - 2*u**2 wrt u?\nAnswer: -288*u + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -1266422?\nAnswer: -1266422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/63 + (-110)\/(-9). Let o be -14*(-1)\/h - 1. Let a = 489 - 487. What is the biggest value in a, o, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k - 27. Let j be v(6). Let n(q) be the second derivative of -1\/6*q**j + 18*q + 4*q**2 + 0. Determine n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478\/(-8365) + (-340)\/175?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from {z: 2, a: 1, s: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 153892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8925)\/(-40) + (-2)\/16 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10313043*0.1\nAnswer: -1031304.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1570 is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11 - 8)*7\/3. Let q = -5 + i. Let r(m) = 3*m**3 + 10 - m**q - 4*m**2 - 13 + 3*m. Let l(b) = -6*b**3 + 9*b**2 - 5*b + 5. What is -3*l(n) - 5*r(n)?\nAnswer: 3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8*d + 6*d - 18, 4*d = -4*m. Let s be (184 - 181)*(0 + 1090\/d). Round s to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {v: 3, q: 1, o: 7, r: 2, n: 3, a: 1}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.809 in -5, -6\/11, 0.7, 0.4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 3:26 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1970 and 7289?\nAnswer: 72890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4728?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649 + 154 = 55*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 32, -0.2, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1292779.03 and 198.\nAnswer: 1292977.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -6*i + 32. Suppose 18 - 26 = -i*n. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -11*b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5254, 10398, 15554, 20728, 25926, 31154?\nAnswer: 36418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1, -2, 0 in decreasing order.\nAnswer: 62, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 5 - 14) + (614 + (-5)\/(-1))\/(-69).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4d88a (base 15) to base 7\nAnswer: 2052631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1.3. Let z = -12 + 10. Which is the closest to s? (a) -0.1 (b) -2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(3\/29)*(k*k\/(k*k**(-1))*k)**(15\/7))\/(((k\/k**(-3)*k)\/k)\/(k**(-4\/7)\/k))**(-2\/9) assuming k is positive.\nAnswer: k**(2677\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-2\/11)*j**(-3))**(-1\/7)\/(((j*j\/(j**0\/j))\/j)**46*j**(3\/7)\/((((j*j**(-4\/9)*j)\/j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-64937\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 20*n**2 - 43*n**2 + 20*n**2. Let l(c) be the first derivative of -c**3 - 1. Calculate l(s(d)).\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j + 0*j - 9*j.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 6. Let x be z(5). Suppose -7 = -x*r + 9. Suppose -r*t - t = -1535. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145218 + -145217.9749999. Let j = -0.025 + w. Round j to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g - 6. Let f(x) = -x**3 - 10*x**2 - 8*x + 3. Let i be f(-9). Let s(a) = -11*a - 13. Give i*s(j) + 13*k(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -419, -426, -433, -440, -447, -454?\n\"Answer: -7*s - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*a - 5*m, 3*m = 5*m + 8. Let i(v) = 5*v**3 - 2*v + 3. Let l be i(1). Calculate the greatest common factor of a and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w + 29. What are the prime factors of n(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 10) + (-9 - -10) + -1 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -98. Let m = -0.461 + 1.461. Let u = 0.01 - 1.81. What is the biggest value in x, u, m, -3\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 1488 + 1317. Let c(b) = 4*b - 1. Let t be c(4). Calculate the highest common divisor of m and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -b6?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.37047 to 2 decimal places.\nAnswer: 6.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**2 - 2*z - 1. Determine j(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(3\/5)\/g*g*g)\/g))**30*(g**(-2\/9))**(2\/85) assuming g is positive.\nAnswer: g**(-13774\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 99) + -33 + (12 - -25 - -13)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -20, -71, -164, -311, -524, -815?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + (-117)\/(1287\/704)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 993034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 - 2*g - 9. Let y be k(-6). Calculate the remainder when (-3)\/(-2)*(y + 1) is divided by (2\/4)\/((-3)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l - 76*l - 1929 - 1602 = 0 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*t + 21576 - 108031, -4*t + 69164 = 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.379939 - -3.416901.\nAnswer: -13.963038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 - -6) - ((31 - 36) + (4 - -42))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let n = 0.2176 - 0.1176. What is the closest to 0 in n, 0.4, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 22*f - 66. Let x be k(-24). Let v be (x\/27)\/((-4)\/6*1). What is the highest common divisor of v and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o + 3*o - 5*o + 2 + 1. Let c = 42 + -35. Calculate the smallest common multiple of c and p(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 5*r - 2*r)*(-3 + 5 - 1)*(r**2 - r**2 - 2*r**2)*(-1 + 0 - 1) + 5*r**3 + 2*r**3 + r**3 to f*r**2 + s*r**3 + g*r + b and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -17*c**3 - 3*c**2 - 5*c - 8. What is v(-2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*w + 1. Let y = w - -21. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50226?\nAnswer: 2, 3, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -29*v - 101. Let x(b) = 42*b + 101. Determine 6*g(z) + 4*x(z).\nAnswer: -6*z - 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p - 4. Let b(s) = s**2 + 2*s - 5. Let m(l) = -2*b(l) + 3*x(l). Let y(j) = j - 1. Let n be y(-2). Let k be n\/2*(-12)\/9. Determine m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 13091.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14581933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -18*x - 44. Let s be g(11). What is s rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*f + 101 = 383, 0 = -5*a - 4*f + 281. Suppose a*t + 15223 = 70*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/9 - 769*i**2\/9 - 256*i\/3 = 0.\nAnswer: -768, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/3 - 226436*b**2\/3 - 12818315524*b\/3 = 0. What is b?\nAnswer: -113218, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-2)*((-42)\/9)\/(-7)*(-4050)\/270\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53071835*c**4 + 1933113.\nAnswer: -212287340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764) - 2*(sqrt(1764) + -1*sqrt(1764)))\/(sqrt(40)\/(sqrt(5) + sqrt(80))))**2*1.\nAnswer: 11025\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-30))\/(30\/(-40))*5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 31596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0.07, -104, -0.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2 = -r - 2*d, 2 = r + 4*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463593106 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011001 (base 3) in base 16?\nAnswer: bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 - 84*a**4 - 24*a**3 + 536*a**2 - 684*a + 252 = 0. Calculate a.\nAnswer: -3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*x + 3. Let b be (-1)\/x - 89\/(-3). Solve -5*k = -5*v - b, 3*v = 2*v - 3*k + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = -b, 3*t = -3*b - 0 + 6. Suppose -5*d + 8*d - 15 = 0. Determine y so that y**2 - d*y**t + 4\/5 + 16\/5*y = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188290471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + 1 + sqrt(68) - (sqrt(68) + sqrt(68)*5 + -4 + sqrt(68))).\nAnswer: -12*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8600248*w. Let f(s) = 3*s**2. Give u(f(p)).\nAnswer: 25800744*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -27 + 1 + 0 + 1. Let d = 7 - z. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133595 and -9.\nAnswer: -133604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480215 is divided by 1179.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533014299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -4 - -2)*1. Solve 7*n - 15 = 2*n - l*s, -4*s = -3*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 400\/9 (b) 68 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.124 - -10.924. Let i = -0.8 + d. Let w = i + -15. What is the nearest to -0.1 in -1, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, 9161, -3, -2 in descending order.\nAnswer: 9161, 3, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 1, i: 1, p: 1, a: 1, n: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.1 (c) 0.6 (d) -0.031 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 188760?\nAnswer: -1\/188760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**4*o*o*o**(-3))\/((o*o**(-5))\/o**(-1\/5)) assuming o is positive.\nAnswer: o**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 5, -2\/15, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15*-2.90098\nAnswer: 43.5147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284869 - -285047.099. Let b = f + -178. What is b rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {n: 1, p: 11, y: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -1.16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in 0.8, 2\/9, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2061\/23358)\/(76\/64 - 1). Let -26\/17*j**3 + x*j**2 + 8\/17*j + 10\/17*j**4 + 0 = 0. Calculate j.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 38. Let h be 0 - (-3 + 1 - 1). Suppose d*u + h = -17. Let z(n) = 4*n**2 - 2*n + 4. Let l(c) = -7*c**2 + 4*c - 7. Determine u*z(r) - 3*l(r).\nAnswer: r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 193380.1 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.024 and 186365.008132.\nAnswer: 186365.032132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2235*a*d**2 + 364*a + 16*d**2 - 20*d wrt d.\nAnswer: -4470*a + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 - 929\/4. Let d = 0.012 - 0.112. Which is the nearest to d? (a) f (b) -2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 8*z. Let w be (-55 - -13)\/(-3 - -1). Suppose 5*f + t + w = 0, 3*t + 20 = -4*f - t. Calculate d(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1102201, -3, -2, -4, 2 in descending order.\nAnswer: 1102201, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:55 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 18.6. Let l = -2.4 - p. Sort 3, 2\/7, l in ascending order.\nAnswer: l, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/4 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, 60\/17 in decreasing order.\nAnswer: 60\/17, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 200, 198, 194, 188, 180?\n\"Answer: -z**2 + z + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 not equal to 7038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-136)*(90\/(-6))\/(9\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.6345 tonnes to micrograms.\nAnswer: 22634500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccqqcqsssqccscq. Give prob of picking 2 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17721116?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/5 and 74\/1187439?\nAnswer: 5937195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.069 in 3, -0.3, -7928, 2\/17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637362 to the power of 1\/2, to the nearest integer?\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/50 in -0.06, -1\/9, -1\/2, 0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1619 in -4, -3\/8, -0.1, -1099?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00652807028 rounded to 5 dps?\nAnswer: -0.00653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*c, 2*k + 4*c = k + 13. Calculate the highest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k - 93. Let b be 5 - (1 - (1 + 0)). Suppose 5*w = 3*z + 36, 14 = b*w - 4*z - 24. What is the lowest common multiple of r(9) and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/9 and -1\/7847?\nAnswer: 70623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 2*n - 32 = 6*n, -4*n + 10 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -134, -391, -782, -1301, -1942, -2699, -3566?\n\"Answer: r**3 - 73*r**2 - 45*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -4. Let g be t\/((3\/15)\/1). Suppose -5*y = -40 - g. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/(-245)*12\/(-9)*7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-25)\/(-20)))\/((-27)\/(-9)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(3 - 2 - 2)*(932*g - 4441*g - 5680*g - 798*g).\nAnswer: 9987*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 28 - 34 + 4*k**2 - 51.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.953 to 0 decimal places.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5747 - -9077. Let -3326*l + i*l - 2*l**2 + 38 + 32 = 0. Calculate l.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001629 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 119*w**2 - 9*w - 9. Let j be (-4)\/38 + 1557\/171. Let s be u(j). Suppose -2007 = -9*b - s. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 99 = 45*l. Let t = 49.3 + -50.5. Which is the closest to 1? (a) l (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.7? (a) 4465 (b) 946 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2710*p - 18*p**2 + 17*p**2 + 1 - 10136*p.\nAnswer: -p**2 - 12846*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35548713\/5 or 7109744?\nAnswer: 35548713\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + z**2 + 3*z**2)*(0*z - z + 3*z)*(3*z - 2*z - 1 + z) in the form t*z**4 + y + h*z**2 + f*z + k*z**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-4050))\/(138\/(-1242))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd + -4?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1613895 + -4?\nAnswer: -1613899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 4*w - 8. Suppose w*i = -2*i + 1324. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 + (-12)\/(-16)*4. Let t = -9 - k. Is 10 a factor of 12 - ((-2 - t) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*r - 11 + 3, 0 = 4*r - 8. Let m(f) = f - 1. Suppose 0 = -0*s + 4*s - 12. Let x(w) = 2*w + 6. Let g(y) = s*m(y) + x(y). Determine g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -30*n**2 - 90. Let l(k) = 17*k**2 + 50. Let y(c) = -5*f(c) - 9*l(c). Let a(x) = 3 - 5 + 0 + 27*x**2. Give a(y(g)).\nAnswer: 243*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -8.7. Let z = 47 - 43. Which is the nearest to 0? (a) z (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -944 - -944. Which is the closest to i? (a) 0.4 (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-130))\/((-63)\/45). Let h = 99\/182 + v. Determine i, given that h*i**2 + 3*i - 7\/2 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*t - 12, -4*c + 98942 = 70*t + 99152 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 42483?\nAnswer: 42483.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223 (base 4) in base 8?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/22230 and -7\/690.\nAnswer: 511290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*c**3 - 72*c**3 - 30*c**3 + 21*c**3.\nAnswer: -150*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 140 = 4*n, -2*g - 3*g - 10 = 0. Let o = 78 - n. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**4\/7 - 416*t**3\/7 - 1296*t**2\/7 + 31040*t\/7 + 64000\/7 = 0.\nAnswer: -100, -10, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 96865*h - 18. Is y(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + sqrt(19))*5 - (sqrt(76) + (sqrt(76) - -2*sqrt(76)))\/sqrt(4))**2 + ((sqrt(76) + -1*sqrt(76))*4)\/sqrt(4) + -2)*-4.\nAnswer: -9188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4881.9 (b) 0.2 (c) -3 (d) -0.3 (e) -1 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwjruwwujwrwj. What is prob of sequence jj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 2238*y - 67468. Calculate z(31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115679 is divided by 57838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 71*j**2 + 67*j + 364. Determine g(72).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**3 + 85*m**2 + 1685*m + 1595 = 0 for m.\nAnswer: -11, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/((-3)\/60). Suppose -v = -w - w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -3, 5, 0.29, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vixx when four letters picked without replacement from iixttxtxiviii.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-seven fifths of a tonne?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 204 times -6\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 7*z + 8. Let b(g) = g**2 - g + 1. What is 6*b(u) - c(u)?\nAnswer: 7*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889 = -4*d - 2*l + 885, -2*d + 3*l + 14 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461632341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2208 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -24893?\nAnswer: -24898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**3 - 2*r**2 + 5 - 4 - r**3. Let s = -2 + 5. Suppose s*l - 1 = -4. Calculate x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 51*g**3 + 1986*g**2 + 8568*g.\nAnswer: -3*g*(g - 21)*(g + 4)*(g + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02256862 to 4 dps.\nAnswer: -0.0226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7196300 + 340421 = -70*q + 1256911. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**9\/1008 + r**6\/360 + r**3 + 1. Let k(m) be the third derivative of s(m). What is the third derivative of k(l) wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11541, 5, 2\/3, 8\/15 in decreasing order.\nAnswer: 5, 2\/3, 8\/15, -11541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0120961 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 30323738.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -635902 from 89.\nAnswer: 635991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4008*t**2 - 5025*t + 1026. Let p(d) = -4*d**3 - 12023*d**2 + 15074*d - 3071. Let l(z) = 3*p(z) + 8*u(z). Determine n, given that l(n) = 0.\nAnswer: -335, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2402401 + -134?\nAnswer: -2403040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-167961*45\/81)\/1*(-15)\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12632760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -135440 (base 6) to base 8\nAnswer: -31160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4483357363 to the nearest 1000000.\nAnswer: -4483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 23, 89, 1, 18, 9 in descending order.\nAnswer: 89, 23, 18, 9, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (158 - 142) - (-2 + (-55 - -2))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + y + 5. Let h(k) be the first derivative of k**4\/4 - 2*k**3 + 7*k**2\/2 - 10*k - 34. Let m be h(5). Give z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 - 35*l - 9. What is x(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9137, 16504, 23889, 31298, 38737, 46212, 53729, 61294?\nAnswer: 68913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -435 + 445. Suppose 4*h - f = 81, 4*h = 3*f + 2*f + 101. What is the remainder when h is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 + 4 - -13)*(-4)\/(-3). Which is the fourth biggest value? (a) -1\/4 (b) -3 (c) 1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000952504 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1545 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1 - 7*g + 4 - 4*g. Suppose -3 = -7*n + 4. Let h be (-10)\/65 + 1323\/(-273). Let i(l) = -l + 1. Calculate h*i(f) + n*y(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 444\/22 - 4\/22. Let z = -11 + n. Calculate the greatest common factor of 63 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -27 (b) 0.1 (c) -1\/2 (d) -3 (e) -4\/3 (f) 34\/5 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 23*g - 16. Give b(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/(-12))*(25506\/(-624) - -41)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttwzzwwwzkwwt. Give prob of picking 2 w.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(162) - (sqrt(162) + 2*(0 + sqrt(162) + sqrt(162))))*1)**2.\nAnswer: 2595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 14991055.\nAnswer: 8\/14991055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4474030 + 4474030 + 2444*a**2 to the form c + f*a + k*a**2 and give k.\nAnswer: 2444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 704\/2427?\nAnswer: 704\/2427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1457*p**3 - 530*p**3 - 478*p**3 - 536*p**3.\nAnswer: -87*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32 + b7a1?\nAnswer: b803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22379, -22381, -22383, -22385?\n\"Answer: -2*n - 22377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10557861*y**2 - 7547862.\nAnswer: -21115722*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*q - 15, 15 = 3*m - 0*m - 4*q. Suppose 5*s - 6*a = -m*a - 13, 17 = -3*s - 4*a. Sort 1, s, 2.\nAnswer: s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*r - 36 = 0, 4*r = 2*w - 0*r - 60. What is the greatest common factor of 32 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = 4*h + 5*j, 2*h - j = 8. Suppose -6*q + h*q = -16979. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 263 - 269 + 614 + 101*f.\nAnswer: 101*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -241, -224, -179, -94, 43, 244, 521, 886?\n\"Answer: 2*p**3 + 2*p**2 - 3*p - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/9 and 2 - 7 - 13\/(351\/(-194)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*o + 45*o - 210. Let f(h) = 60*h + 9 - o*h - 33*h. Calculate the least common multiple of f(-3) and 8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 7. Let n be y(6). Let l be (3\/4 + n)*2. Let b = 8 - 9. Is b < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3 + 152. Let d(x) = 37*x. Give d(g(c)).\nAnswer: 111*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 19*h**2 - 2*h - 18. Let r be d(-1). Solve r*o = z - 19 + 9, 4*z = o + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - m = -5*m + 4, 35 = 5*g - 5*m. Let w = g - 2. Solve -5*k - w - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*k**3 + 12*k**3 - 9*k**3)*(3 - 3 + 2)*(31*k + 25*k - 45*k)*(6*k + 1 - 1).\nAnswer: -6204*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 54\/630 - 64\/(-70)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11382468 a multiple of 1119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, and 1 y when three letters picked without replacement from {t: 2, u: 1, s: 2, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112415649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 + 313*m - 76. Give o(78).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -86.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -2) + (2 - (-4 + 2)). What is the derivative of -3 + 4 + 4*a**3 + 7*a**4 - 2*a**3 + t wrt a?\nAnswer: 28*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 54. Calculate s(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:40 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 9695680 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-3)*((-84)\/(-756))\/((56\/(-231))\/(-4))?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/893997 and -151\/66222?\nAnswer: 1787994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160777654 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times 61?\nAnswer: -10.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, n: 1, j: 3, c: 4}. What is prob of picking 1 j and 2 s?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3 - 3)*(2*x - 2*x - 2*x**2) - 733*x**3 + 735*x**3 - 23*x + 114*x.\nAnswer: -2*x**3 + 91*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 7*n**2 - 9*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -33, -3, -6, 3.\nAnswer: -33, -6, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20989.131 + -21000. Round c to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from {i: 3, f: 3, w: 1, m: 1, a: 6}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -92, 0, -2\/7 in descending order.\nAnswer: 0, -0.1, -2\/7, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 5*a - 118. What is q(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21112842 = 6*a + 6730182. Suppose -4*q + a - 601110 = 0. What is q rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 662a0 (base 14) to base 15\nAnswer: 4d4e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-1105)*-515 - -16 - 47\/52\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + 0)\/2 - -2. Let s be -110 + -1 + (-25)\/25. Let b = -108 - s. Solve -b*x = -w - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(70) + sqrt(70)*-2))\/(sqrt(1000) + 2*sqrt(1000)) + (4*(-2*sqrt(77) + sqrt(77)))\/(sqrt(44)\/sqrt(4)*3).\nAnswer: -43*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -17. Let l = 11 - f. Let w be (0 + 1\/(-4))\/1. Which is the smallest value? (a) w (b) 0.07 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-148)\/(-259) + (-6)\/(-14). Let h = -89\/2 - -43. Sort 0, -2\/7, h, b in increasing order.\nAnswer: h, -2\/7, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 2. Let d be b(6). Suppose -d*v + 15 = -v. Solve 0 = -5*a - 3*p - v, -3*a + 0*a + 3*p + 21 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + 38*n + 175*n + 30*n + 36*n + 35*n - 319*n.\nAnswer: 7*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25466 - 16793. Suppose -25*h = -46*h + y. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -162*t + 5036. Let d be r(31). Which is bigger: -106 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -557 by -91.\nAnswer: 557\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 21 = -3*s, 3*g - 4*g - 12 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2676 - 2616) + -1 + 4?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjaqaqejjqjqjjqajj. What is prob of sequence ja?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -9. Let u = r - -31. Let h(l) = -l - 4. Let n be h(u). Solve 30 = -n*x - d - 2*d, 10 = -3*x + d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 2*o**2 + 9. Let m be f(2). Round m to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:23 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 8\/7*h + 2\/7*h**2 + 8\/7 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k + 1. Suppose 18*r - 20 = 14*r. Let a(b) = 41*b - 1. Let h(o) = 57*o - 1. Let t(i) = -4*a(i) + 3*h(i). Determine r*t(y) - 6*c(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 3:29 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -13*x + 9*x. Suppose -2*q - 55 = -x*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 219 = -3*r - 78, -3*w + 4*r = 184. Suppose 8*q - 9326 = -2606. Let n = w + q. What is n rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/4*2176\/12240?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 - -152. Suppose 3*q = -4*n + 482 + 677, -5*n - 10 = t. List the prime factors of q.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1. Let f(h) = 29*h**3 - h**2 - h + 4. Let m(s) = -2*b(s) + f(s). What is the tens digit of m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, p: 2, v: 1, m: 3, n: 5}. Give prob of picking 1 x, 1 p, 1 n, and 1 m.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*n + 498 = -n, 3*n = 4*d - 398. Suppose d*s - 89*s = -18. What is the closest to 1\/2 in -5, 4, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3290 - 3159. Is 144 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 424 - 426. Let o be ((-6)\/3)\/((-60)\/(-8) + -4). What is the fourth biggest value in i, o, -27, -2\/5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(245) + 1 - ((-2*sqrt(15))\/sqrt(3))**2 - (-1*sqrt(250))\/(-6*sqrt(10)\/sqrt(5) + sqrt(2))).\nAnswer: -23 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 87702.49 to the nearest one hundred.\nAnswer: 87700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from oqaaoqkkakkokaoq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, 30, 127, 314, 621, 1078?\n\"Answer: 5*z**3 + 2*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 3 = 0, -4*c + 3*v = -9. Let w(d) be the first derivative of d**4\/4 - 2*d**3\/3 - 4*d + 2. List the prime factors of w(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**0*f\/(f*f*(f*f\/(f**7*f))\/f*f*f*f)*(f\/(f*f**(3\/4)))\/(f**(-2\/11)*f))**(-3\/11) assuming f is positive.\nAnswer: f**(-321\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 110*z**2 - 51*z - 16. Calculate the remainder when g(3) is divided by 273.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30718 - -31438. Calculate the smallest common multiple of 3024 and f.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*g - 11. What is the third biggest value in 3, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.321 - 20.4. Round c to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5)*v)**(4\/21)\/(v*v**(-1)*v)**(-3\/10))**(-24) assuming v is positive.\nAnswer: v**(-508\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/5))**(-2\/35))**35)**(6\/13) assuming p is positive.\nAnswer: p**(-84\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 927077267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 3258 = 382*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-26 - -13) + 2 - -4) + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3015, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 - k**3\/3 - k**2\/2 - 16*k - 37. Give m(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266956 is divided by 1502?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*w**2 - 32\/9*w**3 + 4*w + 0 + 2\/3*w**4.\nAnswer: 2*w*(w - 3)**2*(3*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 60 + (1379 - 1410)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2636.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1188*j**3 - j + 1176*j**3 + 0*j to the form s*j**2 + r*j + v + z*j**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**5\/120 - u**3\/6 + 3*u**2. Let q(g) be the first derivative of n(g). Let k(w) = 2*w**2. What is k(q(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -69 - (10266 - 10271)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/583 (b) -21 (c) 1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 883655 times -0.4?\nAnswer: -353462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from aaaabaaabaaabaaababa.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12642, -12649, -12656, -12663, -12670?\n\"Answer: -7*a - 12635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61.47089 litres?\nAnswer: 61470.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -67. Calculate the remainder when l is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6. Which is smaller: -6\/17 or p?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202891416 and 4641?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 m when three letters picked without replacement from {u: 5, q: 5, m: 5, p: 2, l: 2}?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 678, 1353, 2028, 2703?\nAnswer: 3378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.49380526 to three decimal places.\nAnswer: 4.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(4\/3)*k**(-1\/7))\/((k\/k**(-4\/7))\/k*k\/(k*(k\/(k**(-1\/2)*k)*k)\/k))*((k**(-2)*k)\/(k*k**5))\/((k\/(k*k**(2\/3)))\/(k**2\/k*k)) assuming k is positive.\nAnswer: k**(-17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 7*p. Let l = 168 - 297. Let s = -123 - l. Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 2*w - 3*w)*(3 - 1 + 1) + (7 - 2 + 8*w - 7*w)*(2 - 4 - 4) to z + a*w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 401441, 401466, 401515, 401594, 401709, 401866, 402071?\n\"Answer: t**3 + 6*t**2 + 401434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g, 66 = 6*x - 2*x + 2*g. Suppose z - x = -3*z + 4*r, -3*z = -r - 8. Solve -n - 6 = 2*d, -z*d - n - 4*n = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -3\/2, 1, 2\/3, 1.36, -664\/43?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1876)\/56 + 25).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by 74?\nAnswer: 79\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:29 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7773\/31 or -252?\nAnswer: -7773\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34619?\nAnswer: 13, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1 + 1\/(-2)). Suppose -11*f - 36 = -16*f - 3*d, 2*f - 3 = -5*d. Solve -f - 6 = 5*l + z*m, -11 = -4*l + 3*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k + 1. Let p(h) = -h - 4. Let c be (36\/16)\/((-6)\/16). Let j be p(c). Suppose -j = -5*x + 3*x. Determine m(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 6:09 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -5, -127, -3, 6, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10179 = -1586*w - 40118 - 6799 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120.3 + 115.3. What is the second biggest value in -2\/5, 15, a, 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 20*g**2 + 3*g**3)*(-2*g + 0*g + g)*(2 - 2 + 2).\nAnswer: -6*g**4 - 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k + 54 - 2*k**3 + 658*k**2 - 229*k**2 + 0*k**3 - 428*k**2 as y*k + t + d*k**3 + j*k**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2417\/(-4))\/(9\/(-252)*7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-34)\/(-3) + (-9)\/27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*i = -689*i + 2565. Let o = -3 + 7. Solve o*j + 1 = h - 0*h, 0 = h + i*j + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8238 > 8239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -132847 divided by -929\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/8124?\nAnswer: -5\/8124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 93*t**2 + 157*t - 4483. Calculate x(94).\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*u - 3040020 = 0, b - 760020 = -0*u - 5*u. Round b to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 20 = -4*a, 4*r + 4*a = r + 15. Let u(x) = 3*x**2 - 10*x + 7. Let y(n) = 5*n**2 - 20*n + 15. Let o(b) = r*u(b) - 2*y(b). Factor o(q).\nAnswer: 5*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 1 - 1) + 724\/(-724)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Suppose 4*s = 5*g - 37, -o*g - 2*s + 37 = 3*s. Let z be (-3)\/g - 219\/(-9). Calculate the highest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 10:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 3*v - 9*v**2 + 3*v to the form x*v**2 + g + f*v and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 13*h = 3222. Let a be (-3)\/(-5) - h\/45. List the prime factors of a\/(-2) - (-6)\/(-12).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11952653 to the power of 1\/2, to the nearest integer?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 18 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 3*f + 120. Let v be j(0). Let h = v - 82. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {c: 1, m: 1, x: 7, u: 2, q: 3}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + l + 3, 3*m + 3*l - 9 = 0. Let z be -4*(2 + m\/(-2)). Let k(r) = r**3 + 6*r**2 - 5*r - 8. Is k(z) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82472 or 907177\/11?\nAnswer: 82472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1521*y + 1724*y**3 + 3*y**5 - 6591 - 266884562*y**4 - 206*y**3 + 266884679*y**4 + 6474*y**2.\nAnswer: 3*(y - 1)*(y + 1)*(y + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 11. Let m(j) = j**2 + 5*j - 4 + 2 - 2*j. Let h be m(x). Sort 3\/5, -1, h.\nAnswer: -1, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154317288 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/40)*r*r**(-28))\/(r**(2\/45))**19)**21 assuming r is positive.\nAnswer: r**(-70231\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 2 + (-7)\/(7\/94). Let r = 128 + n. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 1. Let z be v(4). Let q(i) = 4 + 2*i**3 - 3 - i**z. Let f(t) = -t**3 - 13*t**2 + 13*t - 16. Let l be f(-14). Determine q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*m**3 + 466*m**2 + 3*m + 2048035.\nAnswer: 51*m**2 + 932*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + -1 - (-16 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-41)\/g*g*g\/(g*g\/(g**(2\/55)\/g)))\/(g\/g**(7\/2))**(-5) assuming g is positive.\nAnswer: g**(-6101\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3*(-2 + sqrt(192) + sqrt(192)*-1 + -5 + -2))**2 + -5).\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-73882)\/13038)\/(34\/(-474)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-12) + 582\/(-90) and -45\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -4. What is the units digit of (-1168)\/(-24)*9\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + 0 + 1)*21\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7 + (-10 - 64\/(-7)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, z: 4}. Give prob of picking 1 s and 3 z.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 3, 0.1, 9\/7, 2\/17?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*t - 264*t + 132*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 11*i = 21. What is the units digit of i + 1040\/24 + (-4)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -590 divided by 1486348.\nAnswer: -295\/743174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 + i + 6. Let n(m) = -5*m**2 + 6. Let b(t) = -6*d(t) + 5*n(t). What is b(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - 101. Is 4 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7526*r - 4394*r - 2383*r in the form m*r + w and give m.\nAnswer: -14303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -323951.003 to the nearest one thousand.\nAnswer: -324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 81, 4, 2, -2\/107?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1221 (base 6) to base 11\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = -4*h, -6*j + j + h + 15 = 0. Solve j*k = -15, 12 = -b + 24*k - 27*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = -0*q + 3*q, q + 1 = 5*i. Suppose i = w + 1 - 3. What is the first derivative of 2 - 2*z**2 - z**2 + 6*z**w - 5*z**2 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981 - 1173 = -12*l. Calculate the smallest common multiple of 316 and l.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, m: 9}. What is prob of sequence yy?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, a: 2}. Give prob of sequence aha.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -t + 9843, 6*t - 2*t + 2*o = 39390. What are the prime factors of t?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 21*b - 2 = 23*b, 2*s + 2*b = -2. Solve s = -27*x + 19*x - 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 + j**3 - 53*j + 39*j + j**3 in the form o + f*j**3 + c*j + x*j**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1307 - -236. Let s = 1615 + k. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 881723490 by -6.\nAnswer: -146953915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/15 - (-272)\/20. Let y(x) = -2*x**2 + 36*x - 15. What is the units digit of y(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009923683 is divided by 924.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*w + 3 + 2, -5 = -r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 0, 4, 5, 157, -38 in descending order.\nAnswer: 157, 5, 4, 1, 0, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67956, -135914, -203872, -271830, -339788?\nAnswer: -407746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 288 in 0.3, 2\/3, 3\/5, 172, 15?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*r = -s - 35, 3*r = -s + 9. Suppose -s*i + 9*i + 12 = 0. Let y(z) = 3*z + 4. Let a(f) = 5*f + 7. Let q(m) = 4*a(m) - 7*y(m). What is q(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, w: 1, e: 2, t: 1}. Give prob of sequence we.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/6)\/f*f\/(f**(7\/3)*f*f)*(f**(-1\/2))**(-17\/5) assuming f is positive.\nAnswer: f**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 18. Let q be b(27). What are the prime factors of 4 + (8970\/q)\/((-2)\/3)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -45, -41, -37, -33, -29, -25?\n\"Answer: 4*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5727.24 to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**5\/10 - q**3\/3 - q + 1. Let m(j) be the first derivative of l(j). Factor m(b).\nAnswer: 2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**(2\/45)*t)\/t)\/(t**(-5)\/t)*t**2*t**(-3\/4))**(5\/12) assuming t is positive.\nAnswer: t**(1673\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -3*k**4\/4 - 86*k**3\/3 - 239*k**2. What is the hundreds digit of d(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 - -101. What is the nearest to -1 in p, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -117. Let y = -70 - f. Let u = 31 + y. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*j - 16, -2*m - 3*j = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-28)*-5*(-30)\/(-45).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccrrcrcrrccccrcr?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -576 and 0.5.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 924\nAnswer: 17\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0446 and -4?\nAnswer: 3.9554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.485 or 0.474?\nAnswer: -0.485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -0.1.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 74*y**2 - 23*y - 125. Let n be c(-7). Is n - ((-5 - -9)\/(-2) - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 775*h - 42. Is k(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10424, 41967, 94630, 168413?\nAnswer: 263316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 908197393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-4)\/6*(-9)\/108. Is -15 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6*y = -y + 20, 3*d - 4*y - 16 = 0. Let m = -1 - -58. Calculate the remainder when m is divided by d + (-4)\/(20\/(-75)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**9*o*o)\/o)\/o*o*(o\/(o*o\/o**(-2\/17)))\/o)\/(o\/o**(-1\/7)*o*o**14) assuming o is positive.\nAnswer: o**(-983\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 145?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2. Let l be ((-124)\/12)\/(5\/(-15)). Let m(d) = 8 + 19*d - 8 - l*d. Give m(j(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(931) + -1) + (1*sqrt(171))**2 + sqrt(171) + -1.\nAnswer: -25*sqrt(19) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -4, 11, 5, -9.\nAnswer: -56, -9, -4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 47*l**2 + 511*l + 1079. Determine k(25).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*m + 718*m - 2 = i, 198 = -5*i - 37*m for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 6*z**2 - 2*z + 9. Let n(d) = 15*d**3 - 26*d**3 + 8 + 9*d**3 - 2*d + 0*d + 5*d**2. Let v be (2\/4)\/((-1)\/10). Calculate v*f(s) + 6*n(s).\nAnswer: -2*s**3 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -787 or -789?\nAnswer: -789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 12*q)*(-3*q**2 + 5 - 5)*(-4 - 3 + 1 - 2*q) + 4*q**2 - 2*q**4 - 4*q**2.\nAnswer: 40*q**4 + 126*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 6 - ((-1 - 4) + 29 + -28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 196*b - 1564. Let v be f(67). Which is smaller: 11569 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3774 (b) -43553 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 3. Let h(b) = -31*b + 67. Let j(y) = -21*y + 45. Let i(p) = -5*h(p) + 7*j(p). Let s(c) = -20*a(c) + 3*i(c). Let o(g) = -g. Give s(o(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228\/11 - 1835\/88. Let p = 0.7 + 0.3. Let l = -15 + 14.8. Which is the closest to -1? (a) l (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/410)\/(212\/(-583)). Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7814?\nAnswer: 2, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -878000 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 + d + 1. Let l be z(7). Suppose 4 = 5*f - l. What is the remainder when 109 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 47138?\nAnswer: -18855.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. Suppose 0*n + 2*n = -10. Let d be (1 + -2)*(n - 0). Solve -d + 4 = 4*p - w, b*w - 2 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15 - 45 + 6*j + 6*j**3 - 14*j**3 + 10*j**3 wrt j.\nAnswer: 6*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 7:44 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*j - 193 = 213*j + 2686 + 625 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11a2 (base 13) to base 8\nAnswer: -4702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlll when four letters picked without replacement from {t: 2, v: 4, l: 4, g: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) - ((-695)\/(-20) + 4). What are the prime factors of (-66)\/1*(1 - (-169)\/b)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -13. Let j = r - -3. Let h = 0.019 - -3.981. What is the smallest value in h, j, -3, -0.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.8 and 383384.\nAnswer: 383387.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2356.2 + -2167. Let j = y + -189. What is the smallest value in j, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from {o: 2, b: 3, z: 1, n: 3, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758959 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1761 + 1761.2. Let t = -0.3 - 0.7. Which is the closest to l? (a) t (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + -547?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 6*a**2 + 4*a - 3. Let b be k(-2). Let s(d) = d**3 - 4*d**2 - 6*d - 5. Give s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*r**(1\/9))\/(r*r**(-1\/5))**21 assuming r is positive.\nAnswer: r**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 29 + 462*m - 4.\nAnswer: 462*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1314, 4 in descending order.\nAnswer: 1314, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020 = 2065*s - 2012*s - 225 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1981*a**2. Let r(t) = 12*t**2 + 8. Determine r(j(m)).\nAnswer: 47092332*m**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + 12 + -10 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2779510.\nAnswer: 2, 5, 19, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.1 + 14.7. Which is the fourth biggest value? (a) -2 (b) l (c) -18 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let d(w) = -w**2 - 7*w + 3. Let y be d(-8). Let g(p) = -p - 1. Let b(x) = 1. Let s(c) = y*g(c) - 4*b(c). Determine s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573586 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*q = -176*q + 77 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1710, 3414, 5108, 6786, 8442, 10070, 11664, 13218?\nAnswer: 14726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 2, a: 1, h: 1, v: 3, d: 1}. Give prob of picking 1 h and 1 v.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 2937849681?\nAnswer: 2937849678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/6 - 140*s**2\/3 - 1921*s\/6 - 455 = 0 for s.\nAnswer: -273, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(0 + -1)*11. Calculate the highest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 15*b**2 + 9*b. Calculate c(2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(119)*-2)\/(-3*sqrt(112)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, 9, -10 in ascending order.\nAnswer: -10, -4, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -69 - (-38 - (-11 - -6))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66902, 66909, 66916?\nAnswer: 66923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6911 + -13.90058469.\nAnswer: -6924.90058469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 6*l - 7. Let v be i(1). What is the smallest value in v, 0.09, 3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131062, -262106, -393150?\nAnswer: -524194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 0)*1)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 18 = -3*c. Suppose 5*f + 25 = 0, -c = -w - 5*f - 26. Suppose u - 2*u + w = 0. Solve -2*l + l = u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 200*f**2 + 1695*f - 94. Calculate x(-9).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 16*l**3 + l - 17 - 7*l**2 + 14*l**3 as g*l**3 + u*l + n*l**2 + h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 25 = -0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*r + 262 - 282 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a - 9*a + 18*a)*(-4 + 2 + 3)*(-11 - 8 + 12).\nAnswer: -140*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1227)\/818)\/((-6)\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2071, 4121, 6177, 8239?\n\"Answer: 3*m**2 + 2041*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 15) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 636, -19, 114 in decreasing order.\nAnswer: 636, 114, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*c - 1, 4*d + 5*c + 9 = 2*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9142787?\nAnswer: 17, 537811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1. Let g(i) = -9*i - 12. Let n(k) = 13*k**3 + k**2 - 2*k - 2. Let j be n(-1). Let q(r) = j*p(r) - g(r). Let w(s) = 7*s. Give q(w(x)).\nAnswer: -21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -158, -157, -156, -155?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 0.34. Let y = 0.24 + -18.24. Let f = -13 - y. What is the biggest value in 4, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 26995\nAnswer: -2699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.3. Let p = -10 + 6. Let z = -0.082 - 0.018. What is the nearest to z in 14\/5, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*j + 59942 + 72561 = 45493. What is the remainder when j is divided by 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2130254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 8*j**2 + 230*j + 2194. Suppose -1 = -u - 0. Calculate the remainder when y(-12) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 - -4 - (14 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u + 1. Let n(d) = -4*d**2 - 93*d + 42*d + 47*d - 5. Determine -4*n(m) - 18*p(m).\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 6) to base 2\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -1910c1c?\nAnswer: -1910c1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154684 = 231*v - 235*v. What are the prime factors of v?\nAnswer: 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11545 + -11541. Suppose 0*z + 2*z - 23 = -f, -2*z + 5*f = 7. Put -4, z, a in descending order.\nAnswer: z, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 32 - -9) + -1 + -1 + -2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let c(p) = -p. Let q be 22\/6 + 4\/(-6). Let z(u) = 5*u. Let w be z(-1). What is q*c(n) + w*k(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 0)*(16 - 11 - 15) + 0 + 0 + 3)*(a - a - 25*a**4).\nAnswer: -325*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132310823.\nAnswer: 132310823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3. Let f = 0.0485 - 3.0485. Let g = 0 + 2. What is the second smallest value in g, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 24 = -11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -3*a**2 + 33. Let d(s) be the third derivative of -s**5\/30 - 4*s**2. Give d(j(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/20 - t**4\/12 - t**3\/3 + 6*t**2 - t. Let v be g(0). Calculate the highest common divisor of v and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(228)\/sqrt(108))**2 + sqrt(1900)*1 + sqrt(1900) + 5)*-1 + -4.\nAnswer: -20*sqrt(19) - 385\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and (-83130)\/(-135) + (-2)\/(-8) + (-9)\/324.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 1:13 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*a - 7 - 0, -2*c + 4*a = -12. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3814 by 1332.\nAnswer: -1907\/666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/258141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/120360665 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 48. Suppose -5*j = -j - c. Suppose -3*n + t = -17 - 146, -n = -j*t - 47. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t + 36. Let k(m) = 2*m - 39. Let n(w) = -9*w + 167. Let r(s) = -26*k(s) - 6*n(s). Give -3*g(u) + 8*r(u).\nAnswer: u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -493*x + 45. Let m(f) = 329*f - 30. Let q(r) = 8*m(r) + 5*t(r). Is q(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304 - 163. Let v = -129.8 + n. Round v to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 0)**2 + 3 - sqrt(1700)) + -1 - (3 + 3 + -3*sqrt(833)).\nAnswer: 11*sqrt(17) + 1696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80802409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2833003 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leellllleeeglellej. What is prob of picking 2 e and 1 g?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-2))**(-45) assuming l is positive.\nAnswer: l**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21360522 minus 13349?\nAnswer: -21373871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354266937?\nAnswer: 17, 2081, 38281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50040 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501540.\nAnswer: 2, 3, 5, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0. Let p = 3.89 - -10.11. Which is the closest to l? (a) 1 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12222, 3, -1, 0, 5, -32 in increasing order.\nAnswer: -32, -1, 0, 1, 3, 5, 12222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 22 = -48. Suppose q*b = 11*b - 12. What is the units digit of (-31 + -3)\/(b\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 0*u**2 + 0*u**4 + 22\/5*u**5 + 25 - 4*u + 0*u**3. Find the first derivative of f(v) wrt v.\nAnswer: 88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/35 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7764.862336 rounded to one decimal place?\nAnswer: 7764.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-6)*2\/(-8)*33. Let m(v) = v**2 + 21*v + 21. Let f(s) = 4*s + 4. Calculate h*f(g) + 2*m(g).\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65\/17 + -308\/85. Let o(z) = z + 3. Let p be o(-6). Let j be 0 - ((-6)\/(-11))\/p. Which is the nearest to 5? (a) j (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from dvxvvvix.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-4))\/(207\/12). Let c = 203\/276 - q. Let m = 2.67 + -0.67. What is the nearest to -2 in c, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyyxyyox. Give prob of sequence oxx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 0 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 14. Let d = g - -140. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 645 divide 2302407102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6) + 2 - 16*48\/288. Solve -169\/11 - 1\/11*t**n - 26\/11*t = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1551*f**2 + 1392*f**2 - 2970*f**2.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.848569 to three decimal places.\nAnswer: -0.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 331704509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 14) to base 15\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 73. Let j be v(-12). What is the closest to 7 in j, 2\/7, 2\/11, 177?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*l - l - 6*l - 29 = 0, 3*c + 3*l + 51 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173379617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20432 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.11 - -2.31. Which is the third biggest value? (a) s (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 + 467 = 2*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, a: 4, s: 6}. Give prob of sequence sasy.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 12 = -19*h. Solve 5*k - 29 = -3*j, -2*j - 2 = k - h*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i + 146. Let s be k(0). Suppose -216 = -5*r - s. Solve -5*t = 3*m - r, m = 4*t - 0 - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**3 - 9*r**2 - 18*r - 6. Let x = 6266 - 6261. Let u(v) = 2*v**3 - 2*v**3 - 17*v - 5 + 8*v**3 - 9*v**2. Let g(d) = x*q(d) - 6*u(d). Factor g(o).\nAnswer: -3*o*(o - 4)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2*x\/(x\/(x\/(x**(-10)\/x)*x)))\/(x**(-9))**(-20\/7))**(16\/5) assuming x is positive.\nAnswer: x**(-1088\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4 + 5*w**3\/2 - 4*w**2 - 17*w\/2 - 3 = 0.\nAnswer: -3, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1776 - -1769. Put 5, -3, 1, p in descending order.\nAnswer: 5, 1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 118. Suppose -z*s - 24 = -12*s. Solve q + 25 = s*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(-6*sqrt(9)*-4).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Suppose 3*n - 4*i + 4 = 0, -n + 8 - 4 = 4*i. Let l(r) be the second derivative of n + 0*r**2 + 3*r + 7\/6*r**3. What is l(z(p))?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35157*f**2*r**3 + 5133*f**2*r**2 + 2*f**2*r - 466867611*f*r**3 wrt f?\nAnswer: 70314*r**3 + 10266*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708768 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(68) + 2 + sqrt(68) + 1)**2.\nAnswer: 156*sqrt(17) + 11501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - 3*u**2 + 3*u + 4*u + 2*u**2 to n*u + i*u**2 + h and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 17*z**2 - 18*z + 3. Calculate l(-16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z + 2. Determine g(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2399.3 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36507.5317 rounded to zero decimal places?\nAnswer: 36508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 + 2*w + 0*w - 10*w**2.\nAnswer: -36*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -0.2, -25, 0, -2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 5901. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h - 2*h**2 + 14 + 6*h**3 + h**2 - 10*h + 9*h - 9. Let v(w) = 7*w**3 - w**2 - 8*w + 6. Suppose 0 = -q - q - 12. Give q*g(b) + 5*v(b).\nAnswer: -b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185408 is divided by 4983.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a kilogram in grams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -2. Let l = 0.5 - w. What is the closest to -1 in 2\/9, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16781 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.99 (b) 3 (c) -3\/2 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/338692380 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -23*i**2 - 709*i + 209. Calculate r(-30).\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let x be q(3). Suppose 3*s - 85 = -x*h + 89, 0 = s. Calculate the remainder when h is divided by (-3)\/(-4 + (-76)\/(-20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 - 23 - 5*g - 18)*(-11*g**2 - 8*g**2 + 5*g**2)*(-7 + 0 + 0) in the form m*g + d*g**2 + u*g**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f + 1715*f**2 - f - 1292*f**4 - 261*f**2 - 3809*f**4 + 1601*f**2 wrt f.\nAnswer: -122424*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + 2.9. Let u be ((-15)\/(-18))\/(((-14)\/(-3))\/(-14)). Let o = 1.3 - 0.3. Which is the smallest value? (a) o (b) 0.3 (c) u (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18610.9 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21222 (base 5) to base 15.\nAnswer: 65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -12 - 1*(3 + -25). Solve 408*g + w = 411*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 3*y**3 - 5*y**2\/2 + 78. Let m(w) = -w**2. Give h(m(u)).\nAnswer: 9*u**4 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 5. Let r be x(7). Suppose -o + 4*p = -17, r*p = 4*p - 5. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208)\/sqrt(4) - (sqrt(117)*3)**2).\nAnswer: -1051 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13 or -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2*4\/488). Suppose 0 = -3*j - k + 448. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 2. Let o(h) = -h + 3. Let u be o(6). Let x(c) = c - 3. Let f(q) = q - q + 4 - 2*q. Let p(d) = 4*f(d) + 6*x(d). Determine u*b(n) + 4*p(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*w = 2*o + 66, 0 = -4*o - 4*w + 60. Solve 0 = -2*a + 5*p + 29, 2*a - 7*p + 5*p - o = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -6, -63, -739, -2\/13 in decreasing order.\nAnswer: 0.3, -2\/13, -6, -63, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/((-4914)\/(-3843))*((-1)\/7)\/((-4)\/28).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -4*j**4\/3 - 29*j**3\/3 - 3856*j**2. Calculate d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3024))\/(sqrt(3) - (sqrt(3) + sqrt(36)\/sqrt(12))*-4).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-5 + (8 - 6))) + 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1318, 5306, 11944, 21226, 33146, 47698, 64876, 84674?\n\"Answer: -b**3 + 1331*b**2 + 2*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 - 1023\/5. Let i be (0\/(-2))\/3 + (-38)\/75. Let m = i + -757\/75. Calculate the common denominator of x and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j + 6. Suppose 9 + 3 = 3*h. Suppose -4*w - h*s = 8, 4*s + 2 + 6 = -w. Is 5 a factor of a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p - 45 = -i, 4*i = 4*p + 180. Suppose 0 = -11*t + 2*t + i. Suppose -4*b - t*u = -269 + 79, 5*b = -4*u + 233. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - -85. Let m(f) = -3*f**3 - 8*f**2 - 15*f - 9. Let u be m(-4). Let t = l + u. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmi when four letters picked without replacement from {i: 9, m: 5}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/59 and 53\/514.\nAnswer: 30326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -121. Let s = m - 10. Calculate the greatest common divisor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -a - 40, -2*a - 156*t = -155*t - 1. Solve -a*u + f = -3, -58*u + 61*u - f = 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6481589.\nAnswer: 1129, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23942581?\nAnswer: 13, 163, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 1. Let u = o + -6. Which is the closest to u? (a) -1\/2 (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222300113123 + -11?\nAnswer: -1222300113200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -11*j**3\/9 + 53*j**2\/9 + 10*j\/9 = 0.\nAnswer: -2\/11, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + g - 5*g - 18, -40 = -3*r + 5*g. Let k(y) = y**2 - 10*y + 6. Let v be k(r). What is the greatest common factor of v and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syxtyoux. Give prob of picking 2 y and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 42. What is y(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31943, -31994, -32117, -32342, -32699?\nAnswer: -33218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -2 - 1\/((-1)\/(-2)). Suppose 5*v - 3*p - 12 = k, 2*v - 1 = 5*p - 0. Let j be (-2 + -1)*(-2)\/(-3) + v. Solve 3*s - 7 + j = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/16 in -12, -3\/4, -86\/309?\nAnswer: -86\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(1 + -5 + 1*sqrt(1377)*-2).\nAnswer: -90*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9*(-21)\/2 + 3. Let z = 1296 + -1295.7. Which is the closest to u? (a) -5 (b) 7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4500 - 0?\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 157\/((-6)\/24 + 5\/4). Let t(a) = 5*a**2 - i - 69*a**2 + 181. Let o(y) = 13*y**2 - 5. What is 24*o(u) + 5*t(u)?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 20.73.\nAnswer: 8.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1024906, 3\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(100)*-2)\/sqrt(2) + sqrt(50))\/(sqrt(10) - (sqrt(10) - 2*sqrt(20)\/sqrt(2))) + ((sqrt(5) - (sqrt(5) + -2)) + -3 - (sqrt(20) + 4))))**2.\nAnswer: 225*sqrt(5) + 2025\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109287458 and 15612494?\nAnswer: 109287458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let y(o) = o - 2. Let r(w) = 6*d(w) + y(w). Let j be r(10). Let -j*f**2 + 3 + 0 + 2 - 3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 756*a**3*b + 268371*a**2*b + 364*a*b + 809520*b wrt a.\nAnswer: 4536*a*b + 536742*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -510, -520, -532?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -6 - (-63 - -40)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -1\/18*x**4 + 3 + 8\/27*x**3 + 4\/9*x - 5\/9*x**2. Factor a(t).\nAnswer: -2*(t - 2)*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m)\/(m*m\/(m\/((m\/m**(3\/4))\/m))*m))\/(((m\/((m\/(m*(m**(-2\/5)\/m)\/m))\/m))\/m)\/(m*m\/m**(2\/13)*m*m)) assuming m is positive.\nAnswer: m**(-261\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -377 + 322. What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 - u - 3. Let o be a(2). Suppose -6*k = -k - o. What is the highest common divisor of k and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 76, -5.\nAnswer: -5, -2, 0, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 16. Suppose 16 = -b*h + 1. Let d be 6\/(-18)*(-1 - h). Which is smaller: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v**3 - 14*v**2 - 239*v + 133632?\nAnswer: -9*v**2 - 28*v - 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5 - 3*b + 0*b + 4 + 6. Let y(o) = 9*o - 10. Let m(l) = -7*l + 8. Let d(c) = -4*m(c) - 3*y(c). Calculate 4*a(q) + 10*d(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(117) + (sqrt(117) - (sqrt(117) + (2 + sqrt(117) + 0)**2)) + (0 + sqrt(117) + 2)**2 + sqrt(117) + sqrt(117) + 0.\nAnswer: 5 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 16. What is the units digit of (3\/1 - y) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 42 = -29*s. Let j(g) = -g**3 + 4*g**2 + g - 6. Calculate j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t**2 - 27*t. Let i(p) be the third derivative of -p**5\/12 - 75*p**2. Give l(i(y)).\nAnswer: 300*y**4 + 135*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 781*r - 944*r - 2771 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 2. Let r(g) = 2*g + 4. Let w(c) = -5*n(c) + 2*r(c). Suppose -3*y = -2*y. Suppose 0 = -2*s + 5*a + 17, y = 5*s - s + 2*a - 22. What is w(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587357687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2353889\/42039480 + -2\/50047. What is the common denominator of k and -28\/27?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 6. Let g = -120 - -120. Let c be j(g). Solve 10 = -c*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117*(-152)\/1026*3.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 4*n. Let z be a(-3). Let m be 12\/((-6)\/z) + -2. What is the units digit of (-3 - -1)*(-14)\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -31\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(4\/(-24))\/((-46)\/736)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -1. Put p, 5, -0.1 in ascending order.\nAnswer: p, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15\/7, 1, -0.56?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*3)\/(sqrt(972) - (sqrt(972)*3 + sqrt(972))).\nAnswer: -7*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 3*m - 2 + 0*m)*(10*m - 1 + 1).\nAnswer: 10*m**2 - 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irussssasius. What is prob of picking 2 i, 1 r, and 1 u?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5.1. Let t = 6.002 + -2.002. What is the second smallest value in t, d, -4, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39350228.\nAnswer: 2, 9837557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30678135 by 5.\nAnswer: 6135627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -43 - (-4)\/16*-4. Let b be ((-297)\/f)\/((-3)\/40). What is the units digit of b\/(-4) + 1\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y + 1 = 5*x + 32*y, -5*x = 5*y - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 0, -2*x - 4*i = i - 7202. What are the prime factors of x?\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 623890 + -218323. Let o = i + -883067. What is o rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -2 (c) 2 (d) -97 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 1) + 84 + -106.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**6\/285 - 12*a**5\/19 - 116*a**4\/19 - 1376*a**3\/57 - 48*a**2 + 1199*a. Factor f(r).\nAnswer: -2*(r + 2)**3*(r + 114)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 + 3*r + 60. Suppose 10*h - 54 = -154. List the prime factors of p(h).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 5*h = -6204. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.7, 0.5, -3\/11 in increasing order.\nAnswer: -1, -3\/11, 0.5, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 301 = -85. Calculate the greatest common factor of y and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010110001011 (base 2) to base 5.\nAnswer: 414312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 17*s**4 - 181*s**5 - 8*s + 367*s**5 + 30*s**3 + 12*s**2 - 183*s**5 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -1*(-3 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 42, 64, 86, 108?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - z - 97 = 0, -3*z - 11 = 5*o - 6*o. Calculate the remainder when o is divided by 5\/20 + 186\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1505, -1485, -1469, -1457, -1449?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*g**2 + 9*g**2 - 11*g**4 + (-5 - 2*g**2 + 5)*(-3*g**2 + g**2 + 0*g**2))*((1 - 2 + 3)*(-3 + 1 + 1) - 4 + 1 + 25)*(5 + 1 - 4).\nAnswer: -280*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/2856*(-21)\/2*1. Let z = f - -163\/102. Which is the nearest to 5\/4? (a) 2\/15 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*j = -216. Let c = 33 + j. Let f = -5 - c. Solve -5*h + h = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.06 times -991?\nAnswer: -99159.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = 4*o + 20, -45*p = -4*o - 44*p + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-4 - 6 + 3)*(3*y**4 - 2*y**4 - 4*y**4).\nAnswer: -42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828 and 3654792.\nAnswer: 3654792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10508558*m**6 + 12*m**2 + 772316 wrt m.\nAnswer: -1261026960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = g. Suppose 5*d - g*j - 11 = 0, d + 3*j + 5 - 18 = 0. Let x be -4 + 3 + d + 0. Solve r + 10 = -3*n, -2*n + 18 = -7*n - x*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27864197 or 27864200?\nAnswer: 27864197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 10*x**2 - 2*x - 6. Let a be k(-10). Suppose -2*f + 12 = 4*j - 12, f = -3*j + a. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -20 - 9 - (7 + 3 + (2 - -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(119) - sqrt(119)*1 - sqrt(119)))\/(sqrt(28)\/(sqrt(4)*-1)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -119, -158?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -22. Let c(q) be the first derivative of -7*q + p*q**3 - 3 + 7*q + q**3. Let r(a) = a. Calculate r(c(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/306 and 22\/13923.\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.853 or -1\/21?\nAnswer: 0.853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 217324 in -4, -4\/27, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 274345 (c) -3\/224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148735541*h**3 + 5*h + 3909756 wrt h.\nAnswer: -892413246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*x + 12 = r, 0 = -5*r + 2*x + 112. Let z = -12368 + 12382. Calculate the remainder when r is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 9505945246.\nAnswer: 9505945236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 13*n**2 + 13*n - 17. Let k = -19 - -31. Let s be d(k). Put s, 0.3, -1 in ascending order.\nAnswer: s, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**17*w)**(4\/15)*w**(-2\/5)*w**15 assuming w is positive.\nAnswer: w**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 17 = -4*f, -f - w - 3*w = -7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -432866?\nAnswer: -432865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - n)*(3*n - 2*n + 0*n) + (2 - 2 - 2*n)*(4*n + 2*n - 3*n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133.2 - 133. What is the smallest value in 2, b, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1)*s\/(s*s\/(s**(4\/7)*s)*s))\/((s**(-2\/9)*s)\/s*s**(-1\/2)))**(-17) assuming s is positive.\nAnswer: s**(1513\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 52*w**2 - 31*w + 290. Let h be y(-53). Which is greater: h or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101000111 - -1001110010000?\nAnswer: -10001110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -472 - -6132\/13. What is the nearest to o in -1\/2, 4, 4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4 - 2*i + 0*i + 4*i - 3*i. Let z(c) = -c + 1. Give -s(g) + 4*z(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**3\/3 - 2*t**2 + t. Let g be x(-3). Suppose 314*p - 52*p - 1310 = 0. Solve p = u, 20 + g = -b + 4*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -114413?\nAnswer: -114414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1859*o - 7. Let t(y) = -25080*y - 95. Calculate -95*h(i) + 7*t(i).\nAnswer: 1045*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 34.008489 minutes?\nAnswer: 0.02361700625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 24662557.14305?\nAnswer: 24662559.14305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21569, 43140, 64711, 86282?\n\"Answer: 21571*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611625869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1461, -3108, -4801, -6564, -8421, -10396, -12513, -14796?\n\"Answer: -4*k**3 + k**2 - 1622*k + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207130 is divided by 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 73440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(2 - 2 + d + 4 - 4*d - 4 + (-1 + 0 + 3)*(d + 1 - 1) + 0*d - 5*d + 2*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -6. Is 12 a factor of 12\/54 + (-340)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.094 and -7814.\nAnswer: 734.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460452416 to the power of 1\/2, to the nearest integer?\nAnswer: 73895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-9)\/12) - (36 - 40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732 - 479 = -18*t + 7*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.00262 * -126\nAnswer: -0.33012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5347 + 5344. Which is the closest to 0.1? (a) -102 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 2*g + 55. Let u be 572\/(-55) - (-3)\/(-5). Does 18 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 68 (c) 22396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214.03 + 214. What is the smallest value in -2, h, -1, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, -0.4, -26, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 2*t**5 - t**4 + (2*t - 5*t + t)*(302*t**4 - 22*t**4 - 57*t**4) - 5*t - t**5 + 2*t**5 - 3*t**5.\nAnswer: -450*t**5 - 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let a(g) = 23*g**n - 49*g**2 + 21*g**2. Let b(h) = -2*h**2. Calculate a(b(s)).\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -15*m**4 - 5*m**3 - 38*m + 5. Let w(i) = 22*i**4 + 7*i**3 + 57*i - 7. Let a(u) = 7*h(u) + 5*w(u). Find the second derivative of a(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.05 + -8. Let r = -0.45 + v. Let h = 37 - 75\/2. Which is the nearest to 0? (a) 2 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -109*p + 330. Calculate m(5).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 5*r - 3. Let n be t(-4). Find the common denominator of 2\/3 + (715\/30)\/n and (13\/9)\/(2\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145576104 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 2, u: 9, k: 7, l: 1}. Give prob of sequence tuy.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 201.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672493 to the power of 1\/2, to the nearest integer?\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 150*w**2 - 109*w - 16347. Let x be g(-150). Factor 160\/3*j - 2*j**x + 0 - 2\/3*j**4 + 16*j**2.\nAnswer: -2*j*(j - 5)*(j + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 - j**5 + j**4)*(4 - 17 - 7).\nAnswer: 20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -56. Let d be (-42)\/q*(-48)\/3. Find the common denominator of 31\/24 and (-646)\/d - (4 - 28\/6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10745996603\/814 + 13201472. Let u = r + 29\/74. Let d = -3\/43 - 1840\/129. Find the common denominator of u and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from mjmqmqjkjcq.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1650*t + 205. Let s(c) = 97*c + 12. Let k(w) = 2*j(w) - 35*s(w). Let r be k(-5). Suppose -r = 5*v - 8*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 1650 = 30*r + 24*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 1:49 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6 + 3.6. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 50201951890 and -15.\nAnswer: 50201951875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/5 + 2636*l + 13182\/5 = 0.\nAnswer: -1, 6591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9*-2.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiiijqjqqjiqijjqqqj. What is prob of picking 2 q?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*t - 1838*t + 42 - 458*t - 42.\nAnswer: -1753*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*k - 1607*k**3 - 875*k + 4 - 4 + 442*k**3 wrt k.\nAnswer: -6990*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1\/(-4))\/(51\/34)*9\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2 - (-70)\/36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150714754.81 plus -7?\nAnswer: -150714761.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -17, -3\/7, -13, -0.3, 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - -119. Let i(z) = 380*z - v*z - 192*z. Let y(b) = 0*b**2 - 3*b**2 + 0*b**2. Give i(y(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 161 = 145 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -178, -267?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*b - 1 = 3*b, -4*p = 5*b + 17. Suppose 0*x - 4 = -p*x. Let m(a) = -19*a**2 - 45*a - 2. Let w be m(-2). Solve -w = -6*f + x*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 + (-14)\/(-8). Solve x + v = -0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-14) + 4*60. Let m be (-2)\/12 + 40\/h. Solve -6*p + 8*p + 4 = m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (-15 - -9))\/(0 + 6). Let h = 0.1 + 0.9. What is the nearest to -2 in -4, h, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 29*b + 1. Let n = -15770 + 15755. Give y(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w + 2. Let q = 1272 + -1186. Suppose 2*s = 3*s + 83. Let v = q + s. Give x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 - 1 + 2*q**2 - 2*q**3 + 6 - 7 to the form c*q**2 + p*q**4 + a + n*q**3 + z*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 66*j + 22. Suppose -1287 = 33*o + 6*o. Let u be w(o). Solve 4*f + 2*n + 0*n = -u, 0 = 3*f + n + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:51 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6, 11*t - 5*n + 5 = 10*t. Let g = -3 + 5. Let f be t*(g - (-18)\/(-15)). Solve 28 = 4*w + f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) -256811 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let j(o) = o**2 + 20*o + 30. Let b be j(-20). Let q(h) = -5*h - 18*h + 18*h + 6*h - b. Determine q(w(a)).\nAnswer: -2*a - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyt when three letters picked without replacement from {w: 6, j: 2, f: 1, q: 1, y: 2, t: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 21*z**3 - 2*z + 2*z**3 + 7*z**3 - 7 + 2*z**4 + 0*z - 14*z**3 to o*z**4 + h*z**3 + t + y*z**2 + q*z and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-26))\/(18\/72*2). Let y = 0 + 0.1. What is the nearest to y in -1, u, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21\/2, 5, -1\/4, 1, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9078, -9132, -9186, -9240?\nAnswer: -9294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9821420, -2, 1, 0 in ascending order.\nAnswer: -2, -1, 0, 1, 9821420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -1\/3, -0.3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.56 - -14.46. Let n = 16 + -11. What is the nearest to 0.04 in 0.4, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-92 + 93 + (-1 - -19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33 and 1\/36366030.\nAnswer: 36366030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6073*q**2 - 30360*q - 33. Determine x(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59500 and -0.1325.\nAnswer: -7883.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/98 and 77\/10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, s: 6}. What is prob of sequence pss?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1452, 5, -2\/137?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 28*j + 5185 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 18*j - 2*w + 2 = 0, -3*j - w - 15 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w + 12 = -33*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310131114 (base 5) in base 13?\nAnswer: 34c3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 2:59 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 735540?\nAnswer: 5148780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-826)\/196*7)\/(4\/8)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3313032121113 + -1?\nAnswer: -3313032121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62817953 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 9. Let m(w) = -1. Let k(z) = -5*m(z) - x(z). Let t be k(-8). Find the second derivative of 5*l - l + 4*l**t - 5*l wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -202, -302?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - 64\/(-84)*-1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12859 - -12858. Let x(r) = r + 1. Let h(t) = -t - 3. What is g*h(k) - 2*x(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5082)\/(-560) + -9)\/(-3)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261010205 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 459321129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -5930\/251?\nAnswer: -5930\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2458.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5712872 is divided by 1428011.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1551*m**3 + 2*m - 1026 with respect to m.\nAnswer: 4653*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 836.1.\nAnswer: 843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 260933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m - 5*i + 37 = 0, -5*i = -3*m - 16. Suppose 0 = m*u - 2*u. Suppose -3*f = -u*f - 489. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8166624 and 1786449?\nAnswer: 57166368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**7\/280 + s**6\/60 - 3*s**5\/40 - 2*s**3\/3 - 3*s. Let w(b) be the second derivative of v(b). Let w(p) = 0. Calculate p.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -3\/4*x**4 - x**2 + 38*x + 0 - 2\/3*x**3. Let l(q) = -63*q + 31*q + 13*q**2 + 3 + 38*q. Determine -7*d(m) - 5*l(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/49 - 54\/189\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -612, -1406, -2666, -4476, -6920, -10082, -14046?\nAnswer: -18896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 22. Let t = a - -7. Let h be 8\/(-6)*(-69)\/322. What is the smallest value in t, -0.4, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -201, -376, -597, -888, -1273?\n\"Answer: -4*w**3 + w**2 - 150*w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -0.612?\nAnswer: -5.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -713377 (base 11) to base 7.\nAnswer: -12513246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 158*j\/9 - 52\/3.\nAnswer: -2*(j + 1)*(j + 78)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 6*l**2 - 6*l. Let m(y) = -y**3 + 13*y**2 - 13*y + 14. Let s be m(12). Suppose 0 = -s*f - 2, 16 = 3*t - 2*f + f. Calculate x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 15*o + 480. Suppose -o = g - 6*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + c + (-1 - 1 + 1)*(-2*c - 4 + 4) + 0 + c + 0 + c - 4*c + 2*c + c - 3*c + 4*c + 9827 - 9827 + 97*c.\nAnswer: 102*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*-1 + 15\/36.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084963049 rounded to three decimal places?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 12*x**2 + 28*x + 82. Let r be t(-10). Suppose 8\/3*s - 2\/3*s**4 + 2*s**r - 4\/3*s**3 - 8\/3 = 0. Calculate s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*y**2 + 37 - 37 + (-y - 3*y + 2*y)*(-7*y + y + y) - y**2 + 3 - 3 + (4 + y**2 - 4)*(1 - 3 + 1).\nAnswer: -74*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-8)\/(-4) + -3). Suppose h = r + 2*y - 0 - 20, 3*r - y = 46. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5913 - 5908. Let v(x) = 6*x**2 + 8*x + 3. Let s(g) = -5*g**2 - 7*g - 2. Give b*s(c) + 4*v(c).\nAnswer: -c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**3 - 14*m**2 + 18*m - 20. Calculate d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 2572196*g - 79737115.\nAnswer: -(g + 31)*(g + 2572165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u. Let a(b) = -14*b. Let w(x) = 3*a(x) + 7*p(x). Let n(o) = -918319835 + 918319835 - 7*o. Give n(w(m)).\nAnswer: -49*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 133569100 to the nearest one hundred thousand.\nAnswer: 133600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -58743, 5 in ascending order.\nAnswer: -58743, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17928473, -71713878, -161356219, -286855496, -448211709, -645424858?\nAnswer: -878494943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*i - 9132 + i**2 + 9132 in the form d + h*i**2 + c*i and give c.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5, 0 = 5*s + 3*q + q - 99. Let w = s - 8. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/20 - 3\/(-15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.551 + 1.586. What is the nearest to d in 2\/7, 3, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/84 and 73\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-344)\/16)\/(((217\/14)\/31)\/1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5935613.\nAnswer: -2\/5935613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*d**3*t**2*y + d**3*t*y**3 + 31*d**2*t**2 - 20*d**2*t*y**2 + 4*d**2*y**2 + 193290*d*t**2*y**3 + 2*y**3 wrt y?\nAnswer: 6*d**3*t + 1159740*d*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.165 - -0.135. Let x = 1.3 - 0.3. What is the closest to x in k, 3, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2552 - 2412. What is the remainder when 223 is divided by v?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k**2 + 124\/3*k**3 + 3*k - 131. Let w(g) = 2*g. Give w(n(r)).\nAnswer: 248*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 87861*z**3 + 87852*z**3 + 0*z.\nAnswer: -9*z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 3, u: 7, i: 2, a: 1, y: 3}. What is prob of sequence axd?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 10211102?\nAnswer: -10211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 39*m**2 - 4*m - 77. Give r(-39).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1)\/(-3 + 4). Let g be -3 - 9\/3*f. Let a = 41 + g. Calculate the remainder when a is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.504693 decades in years?\nAnswer: 5.04693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0835*-0.4.\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7162 and 42972.\nAnswer: 42972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/227891013 and 45\/1519.\nAnswer: 227891013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*r**3 + i*r - 2*i - 283*r**2 + 91 wrt r.\nAnswer: 6*i*r**2 + i - 566*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -56559?\nAnswer: -56554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-4) - 11\/((-440)\/11030). Let i(m) = 6*m**3 - m**2 + m. Let g be i(-2). Let n = x - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + 582. Let m be 300\/((-1274)\/k + 2). Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65509388 and 6?\nAnswer: 196528164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 + o**2 - o - 1. Let b be y(-1). Let p(s) = -b + 2*s - 7*s + s + 0. What is the tens digit of p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 2*h - 2. Let s be v(2). What is the highest common factor of 110 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 19. Let x = -7 + 20. Let y be q(x). Suppose 4*m - 21 = y. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-18))\/(2\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -446, -661, -856, -1025, -1162, -1261?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1161 - 1154. Calculate the greatest common factor of h and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46177 is divided by 56.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 13*l + 1. Let b be k(-7). Let s(n) = 36*n**2 + n + 21. Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 5*h + 12. Let j = 26 + -24. Calculate the least common multiple of 33 and (8\/j)\/(-4)*h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235*c**2*f*p + 2*c**2*f - 85*c**2*p - 39976*c**2 - c*f + 161*f*p - f + 47 with respect to p.\nAnswer: 235*c**2*f - 85*c**2 + 161*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p + 18. Let z(l) = -l. Let t(j) = -b(j) + 10*z(j). Differentiate t(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44112*d**2 - 882243*d + 60.\nAnswer: 3*(d - 20)*(14704*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3\/7 + 1020*u**2\/7 - 992*u\/7 - 6096\/7 = 0. What is u?\nAnswer: -2, 3, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05334105002 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -13*o + 48 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91231430 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-21))\/((-14)\/(-49)). Let d be c\/(0 + -2 - -1). Solve -d*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-7) - (-2)\/(-7). Let n = m + -1. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23553263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 5 - 192\/(-352)*(-88)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*b - 29 = 0, 3*u - 4*b + 6*b + 11 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 277858.\nAnswer: 277858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10774? (a) -3 (b) 4\/45 (c) 3\/5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-44) - ((-537)\/231 + 2). Which is the closest to -1? (a) 5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guu when three letters picked without replacement from buruguufurfbrfrbbrfb.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*((-114)\/399 - (-2 - 555642\/(-14))).\nAnswer: 3, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6444 - 2.707. Let m = -0.98 + a. What is m rounded to three decimal places?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 8. What is the second biggest value in d, 4, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 2*s + 4. Suppose 5*d - 3*m = 7 + 19, -4*m + 4 = 3*d. Let f be h(d). Is (-1715)\/(-9) + f\/(-81) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1359119 = -374*z + 463*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*n, -7*u = -9*u - 4*n + 32. Let j(i) = i**3 - 6*i**2 + 7*i + 1. Calculate the smallest common multiple of j(5) and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*f = -6, -4*f - 10 = -2*f. Let u = 0.1 - 11.1. Let x = -10.8 - u. Which is the second biggest value? (a) 0.1 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43115.65 + -0.4?\nAnswer: -43116.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*h + 6767 = -h, -5*h - 10151 = -3*d. Calculate the greatest common factor of d and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*(-19)\/((-3800)\/(-32)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 10131212?\nAnswer: 10131222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 4*k - 156*k**3 - 29*k**2 + 27*k**2 + 910*k**3 + k.\nAnswer: 754*k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0850684 and 118.\nAnswer: 118.0850684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in decades?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 13 - (27 - -4)) + 32\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*r. Differentiate -13 + 59*d**r - 51*d**4 + 49*d**4 + 1 - 15 with respect to d.\nAnswer: -8*d**3 + 118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22432.0014 - 22429. Let g = c + -3. What is g rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Differentiate 7*k - 2 - 5*k - 3*k**w - 2*k with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 6*b + 15. What is the remainder when 37 is divided by v(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883*o**3 + 68*o**3 - 721*o**3.\nAnswer: -1536*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 - 0.32. Put 2, -1\/4, w in ascending order.\nAnswer: -1\/4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 30 - (-9 + (-14 - -17) + 14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109099 is divided by 109081?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = 4*d + 96, -3*d = -z + 67. Let r = d + 52. Suppose -r = -h - 5. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4872*d - 4849*d = 782 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 <= 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 7*i**3\/3 - 9*i**2 - 9*i + 2. Find d, given that o(d) = 0.\nAnswer: -3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5 = -4*g, -12 = m + 177*g - 174*g for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x + 3. Let h(f) = -40*f - 9. Let z(q) = -2*h(q) - 7*u(q). List the prime factors of z(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814823773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 844 = 4*r, 4*x - 6*x = -r + 210. What is the smallest common multiple of 2 and r?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 521482*m*q**2 + 7*m*q*s**3 + 2*m*q*s + 37*m*s**3 - 10*s**3 + s**2 + 840*s wrt q?\nAnswer: 1042964*m*q + 7*m*s**3 + 2*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let w(s) be the third derivative of 0 - 6*s**2 - 1\/24*s**4 + 0*s**3 + 0*s + 1\/10*s**5. Suppose -q - 2 = -2*q. Determine q*w(y) - 11*g(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13 - 12*f + 6*f**2 - f**2 + 2 + 5*f**2 + f**3. Is g(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.72 - -23.8. Do -40 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -122.52, -408 in ascending order.\nAnswer: -408, -122.52, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = o + 10. Suppose 4*g = 3*m + o + 2, 3*m + 5 = g. Let s(p) = p**2 + 9*p + 10. Let t be s(-8). Sort 4, m, t in increasing order.\nAnswer: m, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 19*p**7\/6 + p**3\/2 - 15*p**2\/2 + p + 17. Find the second derivative of i(d) wrt d.\nAnswer: 2660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10\/9 (b) -367 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 + 9719908*c\/19 - 11809576441058\/19.\nAnswer: -2*(c - 2429977)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -b + 2*f, -7*b + 3*b - 4*f = 32 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 935\/(-2) - 16\/(-32). Let s = -314 + y. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700557 divided by -759.\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/3 - -44*(-22)\/(-88). What is z in -f + z**2 - 25\/3*z = 0?\nAnswer: -2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3334 + -3310. What is the closest to c in 2\/5, 1, -0.2, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2917975 and 45.\nAnswer: 26261775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05459 - -87.87541. Let s = 88 - j. Put s, 3\/5, -0.5 in decreasing order.\nAnswer: 3\/5, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + (-5)\/2)*-4. Is z\/14*414 + (-5)\/35 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.741 millilitres in litres?\nAnswer: 0.661741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322966*s**2 - 646184*s**2 + 323220*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 1984.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10765, -86317, -291389, -690739, -1349125, -2331305, -3702037?\nAnswer: -5526079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123936.\nAnswer: 2, 11, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1334892 to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130899621*c**2 + 65449827*c**2 + 65449821*c**2.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 225?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 19. Let p be a(8). Let n(x) = -x**3 - 6*x**2 - 5*x + 2. Give n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.9 + -34. Let t = w - -4.1. Which is the closest to 0? (a) t (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1586 - 1.5046. Round i to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 + 12*m - 23. Let w(v) = 4*v**2 + 11*v - 23. Let b(p) = 3*l(p) - 4*w(p). Let s be b(-10). Is 421*((-9)\/s)\/6*-6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o + 3. Suppose 0 = 4*g + 5*l + 2 - 5, 5*g - 5*l = -30. What is i(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*b - 3. Let p be 5 - -1 - (b - -13). What is the third smallest value in 1\/5, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4 - 5 + 50*h - 4 - 1. Let k(u) = -10*u + 3. Let p(g) = -3*j(g) - 14*k(g). Suppose -2*x - 3 = x. Determine p(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000032107612 rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3702884?\nAnswer: 2, 925721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 60?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 29.2754\nAnswer: 52.69572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 3\/4*r**3 - 3\/4*r**4 + 2 - 3*r + 3\/20*r**5 + 3\/2*r**2. Factor w(f).\nAnswer: 3*(f - 2)**2*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 + 8*s + 4. Suppose -l = -2, 0 = 17*d - 15*d + l - 14. What is r(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4364.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-1479) + 329000\/(-6090).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + n - 3*n + (-4 + 5 + 0)*(-4*n + 2*n + 4*n) + n + 4*n - 2*n)*(-11 + 10 + 2*n - 3*n) as a*n + i*n**2 + s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23302987.8+0\nAnswer: -23302987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -14*q. Let x(l) = -2*l. Let g be x(q). Let f be (g\/5)\/(-3) + -7. Let k(w) = w**3 + 6*w**2 - 4*w + 8. Calculate k(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 3. Suppose -t + 6 = -b. Solve 5*q - 6 = t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**2*z**5 - 2*c**2*z**2 + 1306*c**2*z - 12*c**2 + c + 3786*z**5 wrt z?\nAnswer: 180*c**2*z**2 + 227160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 183, 168, 151, 132?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g**0))\/g)\/g)**(1\/18))**(2\/45) assuming g is positive.\nAnswer: g**(-2\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4)\/5)*70\/(-189).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(605)*-2 - sqrt(605) - sqrt(605)))**2.\nAnswer: -264*sqrt(5) + 9689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 3*u. Let w be (-4)\/(3 + -1) + 7. Suppose u = w*o + 5*z - 10, -2*z = 2 + 2. Solve 0 = q + 2*x + 6, -q = o*x - 6 + 18 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22643 * -0.1.\nAnswer: -2264.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 26 + 36. Is 7 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -370 - -370. Are 1\/51 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 1132*h**2 + 1132*h**2 - 2335*h.\nAnswer: 2*h**3 - 2335*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2373909 to the nearest 1000.\nAnswer: 2374000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 4, 20\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11564176*f**3*j**4 + 3*f**3*j - 2389575*f**3 + 24*f**2*j**2 + 4*f**2*j + f**2 wrt j.\nAnswer: 138770112*f**3*j**2 + 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14896\/40)\/((-6)\/(-60))?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27501046 to the power of 1\/2, to the nearest integer?\nAnswer: 5244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004826393627 to 4 decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1905\/381)\/(2\/(-10))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:30 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/60)\/(4\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8*v = 32*v - 684. Let c = -229 - -400. What is the highest common factor of v and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a + 2*a)*(300*a - 345*a - 400*a).\nAnswer: -445*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-187\nAnswer: 29.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 842 + -840. Suppose 0 = -y - 1 - 1, 4*u = -3*y - 6. Solve u = -r*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*l - 1767997, -2*l - 1051511 - 1305817 = -4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7086 + 12853 = 127*h. What is the remainder when h is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6340 - 6338. Solve n*a - 2*i = -18, -3*a = -65*i + 63*i + 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*153\/595)\/(((-207)\/330)\/23)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 18 = z. Suppose 3*j - z - 27 = 0. What is the remainder when 62 is divided by j\/55 + (-318)\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 335665.32.\nAnswer: 67133.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*l - 19, 6*l = 3*u + 4*l - 17. Suppose 0 = 2*b - 2*j - 630, 0 = u*b - 0*j + 2*j - 950. What are the prime factors of b?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114010 - -4?\nAnswer: -114002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 1. Let k(f) = 125*f**2 + 171*f - 315. Let d(y) = -5*b(y) - k(y). Let x(v) be the first derivative of d(v). Differentiate x(u) with respect to u.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13805808 and 1750032?\nAnswer: 124252272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - 3*y**2 - 36 - 27 + 217.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 112 (b) 2\/9 (c) 2\/7 (d) 0.2 (e) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7835424 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 x(a) be the third derivative of a**6\/30 + a**5\/15 - 5*a**4\/3 + 16*a**3\/3 - 53*a**2 + 6. Let x(q) = 0. What is q?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 971.5118 decades?\nAnswer: 9715.118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/7 - 34*d**3\/7 + 160*d**2\/7 - 128*d\/7 = 0. What is d?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2005051 (base 6) to base 12\nAnswer: 46787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:52 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 22660 = 110639. What are the prime factors of j?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 5*i**2 + 51*i**2.\nAnswer: 41*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4 + 0 + 2*i**4 - 6*i**2 - 3*i + i**4 - 7. Let d(u) = 6*u**4 - 11*u**2 - 5*u - 5. Let r(x) = 3*d(x) - 5*s(x). Find the third derivative of r(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 5:31 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - x - 4*x)*(5 + 4 - 5)*(-14*x**3 - 35*x**3 + 10*x**3).\nAnswer: -156*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*x**2 + 33*p**2*x + 2*p**2 + 6*p*x - x**4 - 4227*x**3 - 2*x wrt x?\nAnswer: -4*p**2 - 12*x**2 - 25362*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 888*z - 324*z - 2795 - 19765 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 32*d**2 - 2*d. Let b(s) = -43 - 1071*s + 91 - 48 + 1085*s. What is u(b(n))?\nAnswer: 6272*n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-8 - 0)) + (-92 - -84)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20952 is divided by 5236.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113603 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -27541, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -5*c - 49\/40*c**5 + 0 - 5*c**3 - 21\/4*c**4 - 2*c**2. Factor f(s).\nAnswer: -(s + 2)*(7*s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -564 divided by 6\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qphqhqh. Give prob of picking 1 h, 2 q, and 1 p.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*i*p**4 - 3*i*p**2 + 2*p**4 + 4*p**3 - 78*p**2 wrt p.\nAnswer: -552*i*p + 48*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(468))*-2 - (-5 + -6*-1*sqrt(468))**2.\nAnswer: -16885 + 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 567 or -603?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10043200302 + 3?\nAnswer: -10043200244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/5)*x\/(x*x\/x**(1\/19)))**41 assuming x is positive.\nAnswer: x**(-8364\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-1 + sqrt(931) - sqrt(931)) + sqrt(931))**2*1 - (-1*sqrt(931)*-4 + sqrt(931))**2).\nAnswer: -111715 - 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + 3*x - 6*x + 12*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321 + -842. Let p = t + 507. Put p, 2, 11 in ascending order.\nAnswer: p, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 31 = 4*v, -3*b + 2 = 11. Suppose -g = x + x - v, -5*x - 4*g + 10 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 397?\nAnswer: -1588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 3280828 and 2.\nAnswer: 3280830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + h**2 + 0*h**2 + 915*h - 920*h - 9 to the form l*h**2 + w + k*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/15 and 99\/166580.\nAnswer: 499740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**3 + 2*p**2 - 3*p - 2. Let z(y) = -3*y**3 - y**2 + 2*y + 1. Let k(d) = -3*f(d) - 5*z(d). Give k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - o - 25 + 3 = 0, 10 = -2*y - 3*o. Which is the closest to y? (a) -1 (b) 0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -713*j**4 - 48 wrt j.\nAnswer: -2852*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26522 + 0.03478. What is the closest to -1\/21 in -0.2, -6, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 7:22 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 - 1 + 8*k + 1 wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63343205 and 6.\nAnswer: 380059230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 7. Let a be 0\/(-3) + (-24)\/8. Let y(b) = -b + 6. Determine a*y(r) - 2*x(r).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 3*t + 1 - 6*t. Let n be d(2). Solve -13 = 5*a + 3*l - 4*l, 15 = -3*a + n*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b + 4*b - 5*b)*(2 + 0 + 0)*(1 - 1 - b + (-3 + 1 + 1)*(-2*b - 1 + 1) + 0*b + 4*b - b).\nAnswer: -104*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 2*l = 1620. Calculate the highest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -240811 + 209505613\/870. What is the common denominator of r and 29\/4?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 + 4*m**2 - m**2)*(-3*m + m + 0*m)*(2079 - 2079 - 100*m) in the form a + o*m + g*m**2 + h*m**4 + n*m**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -906 by -9.\nAnswer: 302\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x*x)\/(x*x**0*x)*(x*x**5)\/(x\/(x**(-2)\/x)) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) 0.04 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112744\/23 + -4902. Let k = 8746\/72933 - 29\/453. Let h = f - k. Is -2\/3 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 41*b - 3. Let h(c) = 15*c - 1. Let j(q) = 11*h(q) - 4*r(q). Let f be (-8)\/(-3)*18\/12. Let m(g) = 2*g + 3. What is f*j(z) - m(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*n - n. Let s = 35\/4 + n. Let r = 1.2 + -1. Which is greater: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = f, -2*f - 4*k + 18 = -14. Let y = -5 + f. Suppose 5 = -y*p - 4*c, 2*p - c = -4*c - 5. Solve -4 + 0 = 3*s + 4*l, -2*l = -p*s + 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -31928681 and -0.55.\nAnswer: -31928681.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 at most as big as 554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 21*i + 354. Give c(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 2, d: 1, t: 1, u: 7, m: 2}. Give prob of sequence ddm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4 + 12. Let d be (-2 + 10\/b)*16. Let u be ((-110)\/(-105))\/(d\/(-12)). Which is greater: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*d**4 + 174*d**4 - 4*d**3 - 504*d**4 + 3*d in the form x*d**4 + l*d**2 + v*d + k*d**3 + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 5. Let u(z) = -14*z + 149. Determine 4*t(f) - u(f).\nAnswer: 2*f - 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 3*k**2 + 9*k + 21. Calculate y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 831130 bigger than 831130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q - 40. Suppose -i = -0*t + 2*t - 4, -2*i - q = -5*t. Suppose i = -5*f - a + 42, a = 4*f - a - 28. Solve -3*s - 7 - f = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*x - 195*x = -3525 - 10649 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763627592?\nAnswer: 2, 7, 13, 331, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 21*l**2 + 2*l - 4. Let d be n(2). Let a(y) = y**3 + 11*y**2 + 4*y. Let o be a(-9). Calculate the highest common factor of d and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 8*p**2 - 5*p - 10. Let h be w(7). Let q = 4 - 4.4. Let v = -0.163 - 0.537. Sort q, h, v.\nAnswer: v, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 5*v. Let d(i) = -68579*i**2. Determine y(d(h)).\nAnswer: 4703079241*h**4 + 342895*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b + 45. Let n be c(-15). Solve 3*s - 24 = m + 2*m, -5*m - 5*s = n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 26 + 92 = 0. Calculate the remainder when n is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 12 = -4*u. Suppose -h + 5*b + 2 = -3*h, 0 = 3*h + 3*b + u. Is (1\/(h\/26))\/(84\/(-42)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 16*g**2 - 20*g - 8.\nAnswer: -4*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -1 (c) 2 (d) -0.03 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176488 is divided by 174412?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -43\/5 in ascending order.\nAnswer: -43\/5, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 + 14*p**2. Let m(u) = -u**3. Let b(t) = -4*m(t) + n(t). Find the third derivative of b(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12\/h**(2\/37))\/(h**(11\/5)\/(h\/h**6*h)) assuming h is positive.\nAnswer: h**(1063\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 904, 3617, 8182, 14635, 23012, 33349?\n\"Answer: 6*x**3 + 890*x**2 + x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45\/4378 + -226785\/297704. Let q = -6\/359 - -4727\/3590. Calculate the common denominator of j and q.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12\/94104221?\nAnswer: -12\/94104221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*374797.\nAnswer: -37479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8*7*8\/(-60)*360\/384\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8705 - 2225 = 0. Suppose 0 = 21*n - 6*n - c. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 16 + 14. Let r = q - -23. What is the highest common factor of r and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 10 = f, -5*n + 4*f + 31892 - 31842 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4530865471.48623 and -2?\nAnswer: 4530865473.48623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 1, -l - 10*b = -6*b + 2. What are the prime factors of 230*(l\/(50\/45) + -1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(29440\/138)\/160?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15725, 15677, 15639, 15635, 15689?\nAnswer: 15825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 208080525 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = -3*i. Let z = 9 + i. What is the lowest common multiple of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d = -12. Let s(z) be the first derivative of d + 1\/3*z**2 + 7\/15*z**5 - 7\/9*z**3 + 0*z - 1\/6*z**4. Suppose s(n) = 0. What is n?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 32*u. Suppose u = -8*m + 19 + 37. Which is greater: 17 or m?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbttttbvbb. What is prob of picking 1 v and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 27*l - 48 + 11*l + 3 + 4. Let d be b(5). Let n = -1193\/8 + d. Is 1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -44. Let p be (1 - i\/6) + 101. Calculate the highest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134574305 a multiple of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 22*t**2 + t + 25. Let h be u(-22). Suppose z = -d - h, 10*z - 9*z = d - 5. Which is the closest to d? (a) 5 (b) 4 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, 2\/13, 6, 52, 3\/5?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 5*j - 654. Give w(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 9, 5, -5, -82 in descending order.\nAnswer: 9, 5, 3, -3, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27912 + -27950 + -1 + -37.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose k - w = -5*r + 7, 0 = -4*k - r + 6. Calculate the greatest common divisor of k and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 20 (b) 5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.27046 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5*-2)\/(-2 + 0). Suppose 5*b = -5*x + h, x - b + 4*b + 1 = 0. Suppose -g - 7 = 5*a, x*g - a + 29 = 6*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.72618 to 2 decimal places.\nAnswer: 2.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -902, -1358, -1818, -2282, -2750?\nAnswer: -3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6348, -4, -17.\nAnswer: -17, -4, 6348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7*a*a)\/a)**(-44) assuming a is positive.\nAnswer: a**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjjlaaaajjyacaaa. Give prob of sequence ayj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) 0 (d) 5\/2 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 8}. What is prob of picking 1 l and 1 p?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*1*-6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -172827?\nAnswer: 172830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 2 - (0 + 0). Suppose -w*p + 836 = -p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 1370, 2040, 2710?\nAnswer: 3380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -52?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 4. Let z be x(-3). Let k be -18 + (4 - 8\/z). Let n = -11 - k. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -144?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 12. Suppose -4*y - 2328 = 3*j + 63, j - 5*y = -816. Let t = j - -879. Calculate the remainder when t is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123822 - 46790 + 152 = -36*r. List the prime factors of r.\nAnswer: 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 16738.7 * -5252.\nAnswer: -87911652.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 - 1011 = 143*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*t + 32 = 96, 2 = t. Let z = 25 - 45. Let x = 30 + z. What is the remainder when m is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000111010001 (base 2) to base 12.\nAnswer: -39381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*9\/150)\/(4\/(-24))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 179304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*b - 8 = -5*a - 784*b, -2*b - 18 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - t + 32. Suppose -4*y = -8*y + t. Differentiate -f**2 - 2*f**2 - f**2 - y + f**2 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 4*b**2 + 4*b**2 - 72 as z + p*b**2 + y*b and give z.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 3*k**2 - k. Give x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382.5255l to millilitres.\nAnswer: 382525.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*y + 27*q - 30*q, 6*y = -4*q - 58. What is the nearest to 81 in 5\/2, -0.03, y?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 (base 9) in base 12?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - 5*a**2 - 6*a**2)*(0*a**2 + 3*a**2 + 0*a**2 + (3 + 2 - 3)*(-4*a**2 - a**2 + 3*a**2)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2380.71 + -2381. What is the fourth biggest value in a, -9, 4, -1\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(-8\/7)\/(q**(-1\/4))**(-4\/19))\/(q*q**3*q*((q\/q**(-6))\/q)\/q*q*(q\/(q**(-9)\/q*q))\/q**(-2)) assuming q is positive.\nAnswer: q**(-9046\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7) - (-270)\/(-210).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 385 or 384?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i. Let q(v) = 65788*v. What is a(q(l))?\nAnswer: 921032*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.018? (a) -0.4 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133346 + -13?\nAnswer: 133333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - n - 3 - 2 - n**2. Let q(y) = -y + 1. Let i(v) = p(v) + 3*q(v). Determine s, given that i(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by 2.\nAnswer: -237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 166.930266 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1758?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276 divided by 4?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4 + (-190)\/(-40). Which is the closest to 1? (a) 0 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:18 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 + -176. Suppose 3*d + t*w = 108, -5*d + 3*w = -2*d - 120. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 4. Let s(u) = -2*u + 3. Suppose 37*b - 52*b + 75 = 0. What is b*n(g) + 7*s(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 + 373*t - 139129.\nAnswer: -(t - 746)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 12*z**2 + 6*z + 3. Let p be u(5). Let a = 430 + p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/2 - -1)*7. Let h(g) = -4*g + 3. Let b be h(o). Solve -6 + b = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 11*t + 8. Let r be o(4). Find the third derivative of r*a**2 + 84*a - 84*a + 15*a**6 wrt a.\nAnswer: 1800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 27470776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = -14. Suppose -4*s = -6 - k. What is the smallest value in 1, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 4*b + 6, 17*b - 19*b = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -145 - -149. Let q = 10 - -16. Let b be -3 - ((-74)\/q + 0). What is the second biggest value in -1\/2, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9674 - 270315 - 289786 + 0*f**2 + 89575 - 2*f**2 + 1960*f.\nAnswer: -2*(f - 490)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(2\/(-2 - 0)). Let v be 52\/3*(s - -3). Suppose 4*g - v = 2*u, 0*g + 3*g + u = 34. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 102\/12 + 21\/(-14). Suppose -16*w + 864 = -n*w. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -480*z + 479*z. Suppose z*v + 19 = 9*v. Solve 0 = a - 5*m + v, 24 = -3*a - m + 5*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/7))**(-5\/3)\/(((g\/g**(2\/9))\/g)\/(g**(-1\/3)*g)))**(-5\/4))**(-12) assuming g is positive.\nAnswer: g**(430\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579074 and 2224?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*w + 3*w + 3*w)*(-2*w**4 - 2*w**2 + 2 + 2*w**2).\nAnswer: -56*w**5 + 56*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90676, 181355, 272034, 362713, 453392?\nAnswer: 544071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15389*s**4*v**3 - 5098*s**4 + 3*s**2*v - s*v**3 - 561*s*v - 2*s - 5*v**3 + 716*v wrt s.\nAnswer: -369336*s*v**3 - 122352*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyffyyqyq. Give prob of sequence fqqf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.551855 to one decimal place.\nAnswer: 142.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12*a**3 - 3*a**2 - 20*a + 11. Let r(s) = 4*s**3 - s**2 - 7*s + 4. Let c(p) = -3*q(p) + 8*r(p). Factor c(j).\nAnswer: -(j - 1)*(j + 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 946985400 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2 + 2)*2. Suppose h = -3*h + 8. Solve h*i = x + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + sqrt(832).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdkxx. Give prob of sequence xkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 5*m**4\/24 + 2*m**2. Let t(u) = -4*u. Suppose 26*y + 188 - 136 = 0. Calculate y*j(a) - 3*t(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783bd8 (base 16) to base 15.\nAnswer: a59a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1\/138?\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2373 - 1688. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133278 - 1189801.\nAnswer: -1323079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4165, 3958, 3619, 3154, 2569, 1870, 1063, 154?\nAnswer: -851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 994 + 662 = 0. Is m bigger than -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9*h - 4. Let y(g) = -26*g - 11. Let a(q) = -q**3 + 12*q**2 - 9*q - 5. Let k be a(11). Give k*t(m) - 6*y(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = 18*j + 58. What is the remainder when 10 is divided by 160\/j - (2 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*j - 5*b, -5*j + 5*b = 4*b - 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.39033 months in centuries?\nAnswer: 0.205325275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 10. Let c(y) be the first derivative of -9*y + 3. Let l(t) = 5*c(t) + 4*d(t). What is l(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/12 + f**4\/12 - f**3\/3 - 2*f**2 - 66*f. Let c = 13 + -24. Let d = 9 + c. Determine k(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-15)*30\/(-4). Let s be (-3)\/(r\/6 - 3). Find l such that 10*l**4 - 2*l**s + 92*l**3 + 10*l**4 - 17 - 64*l + 1 - 28*l**5 - 2*l**2 = 0.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - 45. Let i = -34 + v. Let p = -124 + 123. Which is the second biggest value? (a) 5 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -564, -1, -4, 4 in descending order.\nAnswer: 4, -1, -3, -4, -564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/30 - 67*n**2 - 1. Let t(d) = -45*d**2. Determine y(t(g)).\nAnswer: -4050*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millisecond in microseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/4)\/((-90)\/(-10))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/20)\/((1596\/(-9215))\/(-21)) and (-4)\/(-6) - 334\/132?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-2*-6 + (sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(3)))**2*1 - 3*sqrt(8)*-1.\nAnswer: 2 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69643116 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -2*w - 4, 16*w + w - 8*w = -18 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 6529 and 0.1.\nAnswer: 6529.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/9, 5, -0.62, -54\/73?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 + 62 = 4*j. Let f be 20\/(-150) - j\/(-555). Let s(b) = 4*b + 7. Let v be s(-2). Are v and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17671, -35202, -52729, -70252, -87771, -105286?\n\"Answer: 2*o**2 - 17537*o - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 282, 588, 894, 1200?\n\"Answer: 306*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.657566 - -4.652. Round m to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 777432 and 118088?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310957755.\nAnswer: 5, 13, 66322427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 0, 0.1, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g - 30*g + 88 - 180 + 92.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 280 + -229. Calculate the greatest common divisor of 408 and r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232.32 plus 97519704?\nAnswer: 97520936.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 8. Suppose -k = -5*d - 321, 2*k = 4*d + 115 + 143. Let a = -58 - d. Calculate o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 57 = 2*k, -k + 5*j + 81 = k. Suppose -k*p = -1571 - 343. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 7*a - 30. What is p(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + a + 0*a + (-2 + a + 2)*(2 - 4 + 0) + 4*a + 0*a - 3*a - 2 + a + 2 - 2 + (4 + 3 - 14)*(18*a - 23*a + 14*a) to the form u*a + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -36637 greater than -1428874\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -78. Suppose -8*p = -h*p. Suppose -4*x - 2*t = x - 1695, p = 3*t - 15. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 20*b - 12. Is u(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 + 41*i + 76. Let k(x) = -x**2 + 8*x + 15. Let v(b) = -11*k(b) + 2*n(b). Let q be v(7). What is the units digit of ((-3)\/q + 2\/(-1))*-38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(220\/(-6170)) - 8. What is the highest common divisor of h and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534983 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: Solve -5*b + 2*f + 3 = 0, 3*f = 4*b - b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 11082*p**2 + 12138207*p - 12127122 = 0. What is p?\nAnswer: -4578, 1, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/158446 and 19\/154.\nAnswer: 12200342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) -8 (c) 1\/3 (d) -2\/201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 1311*b + 103078. Give t(-84).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*i + 1 - 1)*(0 + 1 + 1) + i + 4 - 4 - 35*i - 43*i - 14*i)*(-2*i**3 + 2*i**3 + 2*i**3) to w + l*i**2 + q*i + h*i**3 + z*i**4 and give z.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94447532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1*-1*53. Let n = b + 102. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.45 - 5.75. Let l = r - -5. Round l to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 63*c**2 + 2*c + 12. Let y be w(-6). Suppose -1138 - y = -13*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152997407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19113770509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(392) - sqrt(392))\/sqrt(7) + (-1*(sqrt(56) - (sqrt(56) - sqrt(224))) - sqrt(56)))\/(sqrt(512)*2*6).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 129 = 1. What is the remainder when b is divided by (-1 + 3)*(-18)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vddl. What is prob of picking 1 v and 2 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-2*l**3 + 0 + 0) + (-16718*l + 16718*l - 233*l**2)*(2 - 4*l - 2) as g*l**2 + f + v*l + u*l**3 and give u.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.98290006 + 0.9828. What is k rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*2 + -1. Let r = -53 - -52.7. Which is the third biggest value? (a) 2 (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4787\/105 - -321\/7. Let i = l + -14\/15. What is the biggest value in 1, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/30*(-480)\/(-64)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8532300 a multiple of 717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55786 (base 13) to base 7.\nAnswer: 1214065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5280*o - 379. Let b(t) = 5284*t - 381. Let p(j) = -4*b(j) + 5*g(j). What is the first derivative of p(r) wrt r?\nAnswer: 5264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 619 + -623 - (2\/(-2) + (-8)\/6).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 19110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 3*z**5\/20 - 10*z**3\/3 + 11*z. What is the second derivative of l(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(14) - 6*(sqrt(14) + sqrt(224) + sqrt(14)))*-5)\/(sqrt(20)\/(sqrt(10) + sqrt(40)) + sqrt(6)\/sqrt(12)).\nAnswer: 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) - (sqrt(5)*1 - sqrt(5))*-6).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/16)\/(7*18\/(-21))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -5\/8, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246840 divided by -49368.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145269\/4 + 36615. Let m = y - 297. What is the biggest value in -1, 89, m?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + f + 3*f - 13*f**2 + 0*f.\nAnswer: -8*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28412*f**2 + 481*f**3 - f + 28412*f**2 to x*f**3 + b + h*f + t*f**2 and give x.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (96\/(-128))\/(3\/(-188))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34718, -34691, -34664?\nAnswer: -34637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82.1591 - 80.56. Let i = n - 1.6. What is i rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:50 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*j - 108*j - 4*c = -2, 4*j - c = 6. Suppose 0 = -5*b + 2*b + 309. Calculate the smallest common multiple of j and b.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 606323, 1212646, 1818969, 2425292, 3031615, 3637938?\nAnswer: 4244261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 44*j = 30. Suppose 6*c - 4*c = 216. Find m such that 1 + 4 + c*m**3 - j*m - 5*m**4 - 98*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 - 14 = -15*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*8\/24.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -8*(-11 + 9). Calculate the highest common factor of 791 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 31*x - 113. Let i be o(3). Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(2\/(-12)*-2)\/((-27)\/(72819\/29)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + r - 22 = 0, 44*g - 29 = 40*g - r. What is the remainder when 14 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4820\/(-30125)*10\/32\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47347 - -3124843\/66. Calculate the common denominator of u and 68\/15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, 1, -110?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 - 201. Solve 25*a - z*a = -56 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:49 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68) + -2*sqrt(272))**2 + sqrt(170)\/((sqrt(40)\/sqrt(4) + sqrt(10))*-2).\nAnswer: -97*sqrt(17)\/4 + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19839 is divided by 18161?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {i: 3, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -11*o**2 - 32*o + 22. Differentiate m(c) wrt c.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = -25*g + 566 + 19444. What is the least common multiple of 232 and g?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8850, -15406, -21962, -28518?\nAnswer: -35074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/922950 and 7\/450?\nAnswer: 922950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*11735.\nAnswer: -129085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.29, -63, -359?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 301*i**3 + 29*i**2 - 21*i - 47. Is a(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 5, 1, 2 in descending order.\nAnswer: 5, 2, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/417 or -0.05?\nAnswer: 14\/417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1))\/(-2 + -2 + 91\/21). What is the third biggest value in 141, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/77 and -27\/123442.\nAnswer: 864094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**4\/4 + 2*a**2. Let s(t) = -89 + 8 + 56 + 14 + 11 + 51*t**2. Calculate s(i(z)).\nAnswer: 1836*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:37 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5643540, 5643520, 5643488, 5643444, 5643388?\nAnswer: 5643320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6 - 2\/(-4). Let f(d) = -2*d**3 + 2*d**2 - 2*d - 1. Give f(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99 + 17. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 8*x. Calculate h(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -30. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2124 = 3*p + 3*a, -2*p + 1725 = 4*a + 301. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 76907490.\nAnswer: 153814980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 408 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-30) - 255\/50.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 2. Let s be t(-2). Let u be 3\/s*(7 + 1). Let j be ((-6)\/5)\/(6\/(-20)). Solve u*c = 4*o - 40, o = j*c - o + 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/18 + (70\/21 - 2). Calculate the greatest common divisor of o and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5114 + -5113.5. What is the fourth biggest value in 18, 4, p, 4\/5, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3737606 divided by -1.\nAnswer: 3737606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4 and -61\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76, -87, -116, -163, -228, -311, -412?\n\"Answer: -9*p**2 + 16*p - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4783ad (base 14) in base 4?\nAnswer: -21110122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2136, 4411, 6686, 8961, 11236?\n\"Answer: 2275*p - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 + c**2 + c - 5. Let m(k) = -2*k**3 - 2. Let g(i) = 3*d(i) - 8*m(i). Suppose 3 = -p + 2. Let v be g(p). Which is smaller: v or -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 194110287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -2.8. Let m = 2 - 3. Let l = p + m. What is the closest to 0.1 in -0.3, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64933*q**2 + 179 - 179 + 205384*q**2.\nAnswer: 270317*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = -17*f + 38*f + 2*a + 6, -5*f = -12*a + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 55787*u**2. Let s(x) = -3*x**2 - 86. Calculate s(l(h)).\nAnswer: -9336568107*h**4 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51278, 102529, 153710, 204785, 255718, 306473?\n\"Answer: -6*a**3 + a**2 + 51290*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1) + 1 - -41. Let m(b) = 225*b + 239. Let r be m(-1). Calculate the greatest common divisor of k and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30011213 (base 4) to base 5.\nAnswer: 3041021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/126*621\/18*1 and -15\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 14*k**2 + 17. Give w(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11938 - -10232. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -3*p - 37, 3*w - 6*p - 36 = -7*p + 3*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 4, -4\/1679, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 5 = 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-2) - (-3193)\/558. Let q = -0.1 - -0.1. What is the second smallest value in -0.5, -4, q, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00452689 rounded to five dps?\nAnswer: -0.00453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1010, -1, -3, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 1872*m + 5 - 3 - 7 to the form o + k*m and give k.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 486543*f - 67. Let o(j) = 2*j**2. Calculate q(o(c)).\nAnswer: -8*c**4 + 973086*c**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 f when four letters picked without replacement from {q: 9, f: 10}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16564*a**3 - 16556*a**3 - 16562*a**3 + 66241*a**3 - 16561*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n**2\/9 - 36406*n\/9 + 14564\/9 = 0 for n.\nAnswer: -3641, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-52)*(-11)\/55*2\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6904636?\nAnswer: 2, 1726159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 1 e when three letters picked without replacement from ehrzrzvzxrv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -998, -2021, -3044?\nAnswer: -4067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*y + 9*y**2 + 821*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/10)\/(8\/60). Let f = w - 4. Suppose 34 = f*r - 6. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.03956ml?\nAnswer: 0.06803956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -144. What is the common denominator of 0 + 0 + 365\/b and -59\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71902?\nAnswer: 2, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 67493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 25 = 4*x, 1293*u - 1295*u = x - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 24*m = -5349 - 393567. List the prime factors of m.\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -670 + 2012\/3. What is the biggest value in -3, s, -2\/45, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1770\/66 - (18\/22 + -1). Suppose 3*d + 2*d + 4*s = p, 0 = -5*s + 15. Suppose -4*y + 219 = 3*t, -7*y + d*y = 2*t - 150. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2981242 + -1.3?\nAnswer: -1.0018758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 42\/(-45). Let v = 81 - 76. What is the closest to l in v, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d + -a7e?\nAnswer: -a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y + 17*y - 34*y. Let h be t(-8). What is the lowest common multiple of h + 1*(-8)\/(-2) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45578.99961638 - 45579. What is c rounded to six dps?\nAnswer: -0.000384","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9653197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - z + 3. Let p(b) = -4*b**3 - 23*b**2 - 19*b + 19. What is 7*c(f) - p(f)?\nAnswer: 4*f**3 + 9*f**2 + 12*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 - 184*h\/5 + 376\/5.\nAnswer: -2*(h - 2)*(h + 94)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 - 3.1. Let p = 2 - m. Let w(i) = i + 1. Let j be w(1). Which is the nearest to 1\/2? (a) p (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -34*c - 78. Determine b(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = -192. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) - sqrt(7))**2*4 + (sqrt(84) + sqrt(84)*2 + sqrt(84))\/sqrt(12) + sqrt(7).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/20 and -19\/1736?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6111 and 0.5.\nAnswer: -0.1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*s + 2214, -s - a = 206 + 532. Let c = s + 758. Solve 4*m + m = -c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a5b (base 12) to base 11.\nAnswer: 17016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 7*b - 52. Let d be y(-14). Suppose -5*h + 3*w - d = -4894, -5*h + 4*w = -4651. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215.5 - 216. Which is the closest to -2\/7? (a) m (b) 1\/2 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 + (-90)\/(-25). Is g less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -34*g**2 - 208*g - 10. What is u(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -30878a80?\nAnswer: 30878a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1\/10, 4, 3, -0.2, 1803?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 5:02 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 44*v**3\/5 - 1072366*v**2\/15 - 362916*v\/5 - 3250\/3 = 0.\nAnswer: -1, -1\/66, 8125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552766*j + 552734*j - 928 = 0 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 28*j - 1539 = 0. Let c = -55 + j. Solve -3*w = -4*l + c, -12 + 4 = 3*w + 2*l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obk when three letters picked without replacement from okkwrwrbkwwwwkwook?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/15)\/(1\/9). What is the remainder when 17 is divided by -1 - (-6)\/u*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 310, 314, 328, 358, 410, 490, 604, 758?\n\"Answer: z**3 - z**2 + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 387500\/42625 - (2\/7 - 30\/154)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 112. Which is the smallest value? (a) -2 (b) -5 (c) t (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2411843 - -1231072. Let j = 59229 - q. What is j rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (52*-1 - -2)*6\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 0.4, 0.5, 5, -0.33, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - q - 13 = 0, 5*b + 25 + 10 = q for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 9595 - 9945 = 0 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -6167.\nAnswer: -4\/6167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11986 + 381 - 1938 = -467*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.89 to 1 dp.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**0\/t))\/t)**23\/(t**(1\/2)*t\/((t\/(t\/(t**(2\/3)\/t)))\/t*t)) assuming t is positive.\nAnswer: t**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(24\/96). Suppose 730 + 116 = 4*h + n*q, 3*h + 5*q - 645 = 0. Let i = -100 + h. List the prime factors of i.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b + 46. Let t be p(0). Suppose 0 = 11*s - 0*s - 22. Suppose -2*y + 2*q = -t, s*y - 6*y = -q - 80. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 5. What is the remainder when 21 is divided by n(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -322*p**5\/9 + 352094*p**4\/9 - 170920*p**3\/3 - 524440*p**2\/9 + 305792*p\/9 - 11648\/3 = 0. Calculate p.\nAnswer: -1, 4\/23, 2\/7, 2, 1092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) - ((sqrt(110) - (sqrt(110) + sqrt(110)*1))*2 - sqrt(110))))\/(sqrt(960)\/sqrt(6)))**2.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 337 + 337 + 2*t**2)*(-3*t + 0*t + t + (1 + 0 - 4)*(8 - 8 + 10*t)) to k*t**3 + y + m*t + j*t**2 and give k.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63800 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*m + 36, -3*m + 54 = -2*h - 2. Let p(o) = -o**3 - 4*o**2 - 4*o. Let w be p(-3). Let a = w + m. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -5)*608\/6. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14435\/6 + 2394. Let g = a + 25\/2. Let v = 2 - 2. Which is bigger: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1242*t + 1467. Let x be b(-8). What is x rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(44) - (sqrt(176) + sqrt(176)*3 + sqrt(176))\/sqrt(4)) + -3.\nAnswer: -8*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19863 or -16725?\nAnswer: -16725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 7*v - 4. Let i be j(-6). Suppose -776 = 2*d - 4*u, 3*d + 416 = 2*d - 5*u. List the prime factors of (-4)\/i + d\/(-39).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003341896194 to seven decimal places.\nAnswer: 0.0033419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/6, -17, -0.1, -1\/3, 0.0559?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105010 is divided by 1875.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8704014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8357415169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 11154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -8*p + 9, y = 5*p - 16. Which is bigger: -37\/227 or y?\nAnswer: -37\/227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113\/7 + 15. Let x be (-14)\/(-441)*3 - (-6)\/(-9). Sort -0.4, f, 5, x in ascending order.\nAnswer: f, x, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/(-15) - (-12)\/15) + 8\/2. Calculate the greatest common factor of 712 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875694 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -90114 (base 11) to base 10\nAnswer: -131905","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**3 + 6*q**2 - 5. Suppose -2*l + 3 = -1. Let m be (l - 44\/8)*2. Let c = 14 + m. Let p(a) = -8*a**3 - 7*a**2 + 6. Give c*h(k) + 6*p(k).\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8732 = 4*p - 0*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 not equal to 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4358695 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -668 = -2*z + 7*d - 11*d, -2*z + 660 = 2*d. List the prime factors of z.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107340552 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 59, 178, 357, 596, 895?\n\"Answer: 30*q**2 - 31*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 114, 143, 184, 237, 302?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 + 31282*n**2 + 125032*n - 1000768 = 0. Calculate n.\nAnswer: -15637, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 272660619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-28))\/(3\/8). Sort 1\/3, c, 0, -2\/7 in descending order.\nAnswer: 1\/3, 0, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/550 and 77\/2650390.\nAnswer: 145771450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1534.3 (b) 2 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 8. Let r be l(-8). Let c be (-1 + 1 + 1)\/(5\/15). Let t be (c\/18)\/(2\/12). Put 7, r, t in increasing order.\nAnswer: r, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5049*-4\nAnswer: -20196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8573 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 318.9 + -319.669. Let c = -250 - -249.899. Let v = p + c. What is v rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 22. Let l(m) = m**2 - 10*m + 5. Let i be l(10). Suppose -1 = i*r - 21. Solve -t - 6 = r*n, 3*n = -2*g - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/2800 + y**7\/350 - y**6\/200 + 7*y**3\/3 + 5*y**2 - y. Let z(b) be the first derivative of l(b). Solve z(k) = 0 for k.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0.3 (c) 13 (d) 0.048 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 - 141. Find the second derivative of 562*r - 517*r - r**2 + 26*r**3 + c*r**3 wrt r.\nAnswer: 216*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 201, 250, 279, 282, 253, 186?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.98 + 0.02. Which is the fourth biggest value? (a) 2\/13 (b) -1\/4 (c) f (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/15*30\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381997423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3253?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 7. Let n = t - -4. Let l be (-1)\/4 + n\/(-16). Is l equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 62*g**2 - 1. Is k(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-10))\/((-315)\/17220)*-5. Solve 0 = -3*k + d - 173 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-15)*h)\/h)**(-7\/2)*h**(-26)\/h**(-25) assuming h is positive.\nAnswer: h**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*d - 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -10. Put j, -4, 0 in increasing order.\nAnswer: j, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 2. Let h be t(2). Suppose 6*l = 4*l + h. What is the first derivative of -7*r**l - 2 + 5 + 4 - 3 wrt r?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -38*u**5\/15 - 28*u**2 + 2. Let a(g) = -g**2. Give a(z(n)).\nAnswer: -23104*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 1)*((-3*w - w + 2*w)*(440*w - 120*w - 175*w) + 3*w**2 - 2*w**2 + 0*w**2).\nAnswer: -1445*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*n - 12, 3*v + 3*n - 9 = 6. Suppose 2*q = 8 - v. Suppose 4 = -i + q*p - 1, -4*p = 2*i + 10. Let m(b) = -b**2 - 3*b - 6. Calculate m(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 38 = -2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - 2)*1 + -2. Let y = f - -22. Calculate the smallest common multiple of y and 2 - (1 - (7 + -2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*p - 452, -p + 3*s + 96 = -2*p. Let o = -96 - p. Suppose 0 = -o*t + 228 + 12. Calculate the highest common divisor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/2719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 29557.\nAnswer: 14778.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 49153 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 4*s - 6. Let n be (1 - 0)*-1*4. Let i = n - -7. Suppose 2*u + 17 = -j + 3, i*j - 3 = 3*u. Calculate q(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**5\/10 - i**4\/6 - i**3\/3 + i**2 - 2*i + 1. Let v(b) be the first derivative of x(b). Factor v(p).\nAnswer: 2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 - -127\nAnswer: 127.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/1)\/(-1))\/(4\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -500926*i - 2003717. Give a(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23043785, -23043783, -23043779, -23043773, -23043765?\n\"Answer: a**2 - a - 23043785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - (2*sqrt(99)*5 + sqrt(99))))*-6)\/((sqrt(9) - ((sqrt(9) - sqrt(99)\/sqrt(11))*-4 + sqrt(9)) - sqrt(9))*-6).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -49020*v + 172. Let g(n) = 860*n - 3. Calculate 172*g(t) + 3*m(t).\nAnswer: 860*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uriwwuwrrrur. Give prob of picking 1 r, 1 w, and 1 i.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/60 - d**4\/3 - 11*d**3\/3 + 16*d**2. Calculate the remainder when u(13) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-6*i + 11*i + 8*i)*(2*i - 3*i - i).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s - 51*s + 135 = 0. Let r = 48 + s. What is the smallest common multiple of 30 and (0 + 27\/(-12))*(-5 - r)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)*g*g\/g**7*g)\/(g*g**(-1\/22)*(g**(-2\/5)\/g)\/g) assuming g is positive.\nAnswer: g**(-959\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1193913189 rounded to four dps?\nAnswer: 0.1194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 22. Give n(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) 75 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.847351mg?\nAnswer: 7847351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11351\/12 - 950. Find the common denominator of 1525\/(-80)*6\/(-15) and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 50*z**2 + 3 to the form v*z + w*z**2 + o and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, -18, -56?\n\"Answer: -38*q + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, -5, 73, 1\/8, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7479735*a**3 - 3739565*a**3 - 3740174*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/114)\/((-31324)\/(-2292))\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9 = -3*v, -3*v - 4*n = 18 - 0. Let z be ((-3)\/(-2))\/(v\/(-4)). Suppose z*s - 8 = 22. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 21 = 5*x. Let o be x\/(-2)*48\/28. Is -6*o\/(-9) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37015, 75078, 113127, 151156, 189159?\n\"Answer: -v**3 - v**2 + 38073*v - 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4\/49, -2\/3, 3\/2, -2.\nAnswer: -7, -2, -2\/3, 4\/49, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*s**6 + 2*s**5 + 69*s**2 - 2?\nAnswer: -720*s**3 + 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18900000 to the nearest one hundred thousand.\nAnswer: -18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 387567774*k**2 - 242468967*k.\nAnswer: 775135548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1, 4\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164\/786649 or 1?\nAnswer: -164\/786649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 + -0.2. Let d = 6 - q. Do d and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**5\/j)\/j**8)\/(j**(-2\/7))**(-3\/40))**19 assuming j is positive.\nAnswer: j**(-10697\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 2) + (3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -6, -18, -46, -96, -174, -286?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 + 163*h**2 + 0 - 1 - 815*h**2 as k + l*h + s*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from hhhgthhpghpfp.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -201122.19 rounded to the nearest 100?\nAnswer: -201100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/10 (b) -3 (c) 0 (d) 953 (e) 284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255319, -510533, -765749, -1020967, -1276187?\nAnswer: -1531409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11 - 9*i + i - 2*i + i**2. Suppose 0 = 3*h - 9 - 18. Let u be s(h). Solve -6*k - 11 = -2*k - m, 5*k + 4 = -u*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 134 + -2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1512*d - 4859. Is 12 a factor of u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.11 (c) 3 (d) -2\/5 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40682, 162086, 364214, 647066, 1010642, 1454942, 1979966?\n\"Answer: 40362*t**2 + 318*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 + 621898*o**2\/3 - 14928144*o + 268722144.\nAnswer: 2*(o - 36)**2*(o + 311021)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 - 2*z**4 + 4*z**4 - 4*z**3)*(-9 - 18 + 3).\nAnswer: -48*z**4 + 168*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 809181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {c: 1, g: 1, y: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -1 - (1 - (-14 - -16))) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/(-14)*-2). Let w = k + -7. Are 1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -1)*0\/1. Suppose a + a + 136 = f. Let c be a*(6\/(-4) - -1). Solve -2*r = -j + 7, 0*j = 5*r + 3*j + c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136297757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 22*t - 6 + 4.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*l = 557*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by 1044\nAnswer: 56\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1799\/2 - 901. What is the closest to 3 in -0.1, y, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10928947971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = 8*g. Is 1\/((-4)\/(-35612) - g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 30, -5, 2, 17, 3, -263 in decreasing order.\nAnswer: 30, 17, 3, 2, -4, -5, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 22*c**2 - 3*c - 2. Suppose -3*p - 13 = -k, -1 = -p + 2*k - 12. Let z be l(p). Suppose 0*r = 5*r - z. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0535783 to 5 decimal places.\nAnswer: 0.05358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*l - 25*l - 17*l)*(l**3 - 5 + 5).\nAnswer: -124*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56330.88 nanograms to grams.\nAnswer: 0.00005633088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*s = 29, 32 + 27 = -g + 5*s + 25 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:32 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/5, 0, -1361, -490 in decreasing order.\nAnswer: 0, -1\/5, -2\/7, -490, -1361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**2 + 5*f - 1415. Let s(q) = -5*q**2 - 3*q + 705. Let o(p) = -3*l(p) - 5*s(p). Let o(a) = 0. What is a?\nAnswer: -12, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 7. Let g be r(-7). Let m be (g + 8\/36)*-6. Let y = -0.109 + -0.091. What is the third biggest value in m, 3\/8, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -59263?\nAnswer: -59258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k = 51*k - 9. Put -4, k, 2 in increasing order.\nAnswer: -4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*b - 82*b**2 + 134*b)*(-4 - 1 + 2)*(b**2 - 2*b**2 + 0*b**2).\nAnswer: -246*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7459 is divided by 2465.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066791 to the power of 1\/2, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1428)\/(-10) - (-6)\/60*2. What is the first derivative of -10*l**2 + w - 86 - 2*l**2 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -6, 1\/981, 1603?\nAnswer: 1\/981","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -17 - 12)\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/70988890 and -99\/10141270.\nAnswer: 70988890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzerzxxjzjx. Give prob of sequence zr.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -150*j**2 - 3*j + 77. Determine n(3).\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s - 178. Calculate u(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = -6. Let d = w - -25. Suppose 11 = g - 2*u + 1, -3*g + 3*u + 33 = 0. What is the remainder when d is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66542 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*o - 5*c, 4*o + 12 = -0*o - 3*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12.0826102 times -4\nAnswer: -48.3304408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) -6 (c) 12 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 175040*u**2 + 1531950080*u.\nAnswer: 5*u*(u + 17504)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juujuumujuuuujjmju. Give prob of picking 1 m, 1 u, and 2 j.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 5. Let f be y(7). Suppose -f*j = -0*j - 12. Calculate the remainder when 17 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 184 + -69. Let h = j + -175. Let f = 59.6 + h. What is the third smallest value in 5, f, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84 - 4 - (0 - 2). Suppose 0 = -10*y + 8*y + 10. Suppose -98 - r = -y*t. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + c?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2*a**2 - 2*a + (-2 + 2 + 2*a)*(a + a - a) + 3 - 3 - 8*a**2 + (-a + 3*a + 0*a)*(-5*a - 2*a - a))*(-4*a + a - a).\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1020 + -120130?\nAnswer: -121150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17906*z - 553. List the prime factors of i(-1).\nAnswer: 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -51, 3 in decreasing order.\nAnswer: 3, 1, 0.2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let x(f) be the second derivative of -25*f**3\/6 - 2*f - 10. Calculate h(x(y)).\nAnswer: 1250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3189\/196762 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -276547.\nAnswer: 276552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -82 + 82 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) 1\/2 (b) 1\/9 (c) 140 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -0*w + 210. Suppose 4*f - k + w = 4*k, 2*f + 5*k = 0. Suppose 0 = -3*q - 3*a, 3*q - 4*q + 5*a + 6 = 0. Put q, 5, f, -1 in decreasing order.\nAnswer: 5, q, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17 and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 455 = 8*p. Find the third derivative of -p*t**2 + 13*t**6 + 40*t**6 + 14*t**2 wrt t.\nAnswer: 6360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**5*v)\/(v*v\/(v*v**(-1\/3))))**24*((v**(3\/2)*v)\/(v*v\/(v*v**1*v)))**(-15\/2) assuming v is positive.\nAnswer: v**(439\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b - 3. Let g be l(3). Suppose 0 = x - g*x. Suppose x = 2*u - 39 + 7. Calculate the highest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -u - 4*v, -v - 6 = 2*u + v. Suppose 0*q - 14 = -5*q - 3*t, -u*t - 12 = -2*q. What is the highest common divisor of q and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 96*q - 470. What is o(9)?\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 2*v + 3. Let x = -3 - 0. Let h be m(x). Let o = 637 - 637.6. Sort -0.5, o, h, 0.4 in descending order.\nAnswer: 0.4, h, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -20012 and -20012 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*l**4 - 3 - 2*l**4 + 0*l**2 + 0*l**2 + (-l**4 - l**4 + 4*l**4)*(-2 + 5 - 5) - 3442 + 2*l - 116*l**4 + 3442.\nAnswer: -125*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 13. Let k(v) = -3*v - 12. Let j(l) = l + 2. Let g(p) = t*j(p) - k(p). Calculate g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -37*i**2 - 80*i + 929. Calculate p(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -n - 3*y + 177, 0 = 5*n + 4*y - 1270. Calculate the remainder when n is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/5)*l\/l**(-15)*l**14\/(l**(6\/11)\/l*l*l))**(13\/2))**(-26) assuming l is positive.\nAnswer: l**(-271921\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1387?\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -83. Solve 2*b - 9 = -h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*j + 4*b + 12, 4*j + 5 = 3*b. List the prime factors of 57 + j - 5\/(15\/(-9)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2 - -7) + (-16 - (-12 - 4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3357a - -202b?\nAnswer: 355a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.22 and -0.15883.\nAnswer: -1.37883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1582791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, 4\/643, -2\/5, -0.2, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 s when three letters picked without replacement from usvvusssuu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(86\/(-20) + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/56794?\nAnswer: 7\/56794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -31*a + 570. Let m be k(18). Solve 20*h + 88 = -m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o - 4. Let u = o + 8. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/13 - (-2)\/(-7). Let j = m + -54\/13. Let s = 4.53 - 1.53. Sort s, j, 1.\nAnswer: j, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 + -1222\/7. Which is the second biggest value? (a) -4 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 9*l + 9. Let q(r) = r**3 + 4*r**2 + r. What is q(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((1 - 1)\/3)\/(-2). Suppose z = -3*f + 52 - 4. Solve -5*i = -i - f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150514 and 182?\nAnswer: 150514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 99*f + 932. Let a be z(10). Solve 34*g - 40 = a*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 21*r**2. Let f(x) = -x**2 - x + 1. Let w(h) = 6*h**2 - 5*h + 5. Let c(l) = 5*f(l) - w(l). What is -7*c(z) - 4*t(z)?\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/2 (b) 4 (c) -24 (d) -1.2 (e) -103 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -20*t**2 - 1479*t + 57. What is l(-74)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 2:29 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*p + 3 + 5 + 2 + p in the form g + c*p and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(93\/2))\/((-40)\/(-105))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 741839303 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:57 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3508677l to millilitres.\nAnswer: 350.8677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.26757 rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -291 + 290.9. What is the closest to d in -1\/2, 3\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 - 13*g + g**2 + 32 + 12*g + 2*g**3 to the form d + k*g + m*g**3 + t*g**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**5*q)*q*q\/(q\/q**(-2\/9))*q)**(-6\/5) assuming q is positive.\nAnswer: q**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + 2*m - 18*m in the form s + z*m and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 5.06. Let p = 13 + -8. Let b = -4783.98 - -4784. What is the third biggest value in p, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 23. Let y(z) = -2*z - 11. Let k be y(0). Let f be c(k). Suppose 1\/2*d + f - 1\/2*d**2 = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 150*c - 1125.\nAnswer: -5*(c + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 1755 - 1755. Let k(a) be the second derivative of -a**4\/12 - a. Give k(q(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (156\/65)\/((-1)\/10). Let m = -26 - u. What is the closest to -1 in 1, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.14381cm to meters.\nAnswer: 0.2814381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/389 + -22915\/2334. Let f = 139\/14 + z. Suppose -48 = -3*m - 3*l, -m + 4*l + 14 = 7*l. What is the second smallest value in f, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/30 + m**4\/12 - 25*m**3\/6 + 161*m**2. Let y be j(-4). Does -2\/115 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2080*i - 2077*i - 12 = 0. Solve 168*b - 170*b = -i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -932.785 rounded to the nearest ten?\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3*t**5\/5 + 9*t**4\/2 + 12*t**3 + 12*t**2 + 3. Suppose h(q) = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**3 + 382*f**2 + 216*f - 39. Calculate m(-54).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2455 - -2463. Which is smaller: j or 21?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 minutes after 8:47 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1363076?\nAnswer: 1363102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 755058.3 litres in millilitres?\nAnswer: 755058300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34960594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-8 + 2)) + 39 + -7 + 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9317.35841 rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1540423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/2)\/((a**11\/a)\/a))\/(a\/(a**(-3)\/a))**(6\/25))**(2\/19) assuming a is positive.\nAnswer: a**(-87\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 3*r + 4. Suppose 10*g = -37*g + 235. Determine o(g).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 - -132. What is the nearest to -6\/17 in 2\/9, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3, 41, -4, -2273 in decreasing order.\nAnswer: 41, 3, 2, -1, -4, -2273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -302, 14, 1.1, -3\/7, -0.1, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**3 - 22776*u**2 + 2*u + 6451286?\nAnswer: -6*u**2 - 45552*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5205 (base 11) in base 7?\nAnswer: 26060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15784 by -7892.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 + -931 - (-5 + 2 - 84)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than or equal to 2\/1067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -a - 27. Let j = a + 50. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10411.67 rounded to the nearest 100?\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 39 + 57. Suppose h*k - 20*k = 152. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-118)\/(-4) + -1)*128\/(-48). Let y = 80 + c. Suppose 0 = -5*w + 4*f - 6499996, y*w + w = -5*f - 6500005. What is w rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224 + 234. Solve m + 3*u = -22 + 16, -m - 5*u - s = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:11 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121012102220211 (base 3) to base 15.\nAnswer: b5125a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = d + 5*i, 2*d - 4*i - 5 = -5*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) -3 (b) 2\/7 (c) 1 (d) 0 (e) 14.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1542747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 194674844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -146260?\nAnswer: -146255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8068*j - 5*n = 8063*j - 30, 0 = -3*j - 3*n - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, -1651 in decreasing order.\nAnswer: 0, -10, -1651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -11. What is the common denominator of f and ((-7)\/(-28))\/((-15)\/486)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1382, 1388, 1398, 1412, 1430, 1452?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*q + 3*s + 248631518, 3*q + 38111176 = 2*s + 12390688. What is q rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -28.9, 2\/3, 8\/23 in ascending order.\nAnswer: -28.9, 8\/23, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6534167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 9147 = -24321. Round d to the nearest 10.\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*h - 140, h - 18 = -3*f - 7. Let n be 530\/(-65) - (-4)\/h. Let z be 88\/(1*(-4)\/n). Calculate the highest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 939447.433 to the nearest one hundred.\nAnswer: 939400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 176880 divided by 35376\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666621.\nAnswer: 491, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -46. Suppose i*r + 188 = 5*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, x: 1, j: 1, g: 2, t: 4, z: 4}. Give prob of picking 1 t and 3 r.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -424911808*v**3 - 582572*v - 18.\nAnswer: -2549470848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.3 (c) 50.26 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 227\/1143 + 3\/127. Let j = -0.18 - -0.08. Which is the nearest to j? (a) 1\/5 (b) p (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + 2*sqrt(900))\/(sqrt(5)*-1*3).\nAnswer: -13*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2922 - -2922. Solve -v + 13 = -t*z + 2*z, 4*v - 24 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3991 is divided by 504?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-1 + 24) - -25\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -6 + 1\/5*i**5 - 2\/3*i**3 + 1\/3*i**4 + 2*i - 2*i**2. Determine y, given that w(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1245 and 260.\nAnswer: 64740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 11255.92 (b) 1\/4 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.5 (c) 73 (d) 40 (e) 0 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 29 = c - 0*d, 0 = 3*c + 2*d - 67. Suppose 5 = -4*x - c. Let i(t) = -9*t - 15. Does 12 divide i(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3747.74343 rounded to one dp?\nAnswer: -3747.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/20 + 962\/(-130)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84372 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020110010112 (base 3) to base 7.\nAnswer: -20426156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9*k\/k**21)\/(k*k\/((k\/k**(-15))\/k))**(-31) assuming k is positive.\nAnswer: k**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*j + 38 - 30*j - 68 + 32 as p*j + o and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*b + 47. Let a = b + 28. List the prime factors of 825\/(-44)*a\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -24*m + 1. Let q be r(-5). Suppose -5*y - 16 + q = 0. What is the least common multiple of 8 and (18\/y)\/((-2)\/(-14))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1209639351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 24155 and 24151 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7050 is divided by 84.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/3625088 and -31\/906272.\nAnswer: 3625088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -1, 1.9, -5 in decreasing order.\nAnswer: 1.9, 3\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 650957 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*o**2*u**3 - 658274*o**2*u**2 + 2*o**2*u - 10318*o*u**3 + 18340*o wrt o?\nAnswer: -88*u**3 - 1316548*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -15*d**6\/2 + 17*d**2\/2 + d - 109. What is the second derivative of z(u) wrt u?\nAnswer: -900*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 33. Let v(u) = 5*u + 25. Let p be v(-6). What is the lowest common multiple of 2\/4*a\/p and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 12. Let t be d(10). Suppose 2*z - 144 = -t*z. What is the remainder when z is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 7, -594, 4, -1748 in decreasing order.\nAnswer: 7, 4, 1\/3, -594, -1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/150 and 1\/173031.\nAnswer: 8651550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1896160*j**2 + 632523*j.\nAnswer: 3792320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 m when four letters picked without replacement from llmlmmm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13 = 2*q, 7 = 2*q - p - 0. Let v be (-1 - 1)\/((-2)\/(-5)). Let o be (q\/10)\/((-1)\/v). Solve 2*z - 6 - 4 = 0, -o = 4*w + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-420))\/((-12)\/(-276)) and -16\/147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1634216032 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - sqrt(132)*-1))*2)\/sqrt(12).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 132 = 9*r, -11*r - 17 = -19*r + 12*r - 7*k for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q + 0*q - 1 + 0*q - 4*q. Let t be d(-1). Let x(l) = -2*l**3 - 2*l**2 + l + 1. Give x(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {q: 2, z: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (65\/8)\/1 - (-1)\/(-8). Solve 4 - s = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away -263653.03?\nAnswer: 263665.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(15 + 18 + 2)*(9 - 2*m - 9).\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546328633 to the power of 1\/2, to the nearest integer?\nAnswer: 50461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40362 divided by -93.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -1631646*f + 8158245. What is q(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6766930 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 4. Let h be z(0). Let n(g) = -19*g**2 + 25*g + 20. Let t(w) = 11*w**2 - 15*w - 12. Let p(u) = -7*n(u) - 12*t(u). Determine p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 30. Let a = 12349 + -12333. Calculate the least common multiple of a and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 + c**4\/12 + 2*c**2 - 26*c. Let x be g(2). Suppose x = -4*j - 4*d + 7*d + 245, -5*d - 15 = 0. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, x: 1, s: 1, g: 8, h: 2, r: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176206?\nAnswer: 2, 19, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1670*p + 1669*p = 11*i - 172, 3*p - 13*i + 220 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 0.2 (c) -1\/6 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -0. Calculate the remainder when 31 is divided by (64\/o)\/((-8)\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*i + 5, 4*x + 2*i = 2*x + 14. Let k be (-48)\/(-20) + (-4)\/x. Suppose 3*c + k*m + m = 15, m = c - 1. Solve c*b - 4*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -105 - ((2 - 1 - -6) + (64 - 64)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208342 - -434853. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvpv when four letters picked without replacement from {p: 2, r: 2, x: 1, v: 11}.\nAnswer: 11\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235.8 - 293. Let x = 56.949 + k. Let y = x - 0.207. What is y rounded to 2 dps?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969182 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - 3. Let a = -0.7 + h. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -350, -700, -1048, -1394?\n\"Answer: g**2 - 353*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-10)\/(-6))\/5)\/(1\/177) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 470 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 5\/2, 9, -0.02, -2\/15, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 8*v**2 + 7*v + 4. Let q be b(7). Let d(g) = g - 4 - 3*g + q. Let h(p) = p**2. Calculate h(d(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 11*q + 24. Let x be b(0). Suppose -4*z - x*z + 588 = 0. Calculate the smallest common multiple of z and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = u - y, y - 2 = 0. Suppose -18*z + 26*z - 1320 = u. Let x = z - 33. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*q - 213*q + v = 1, 8*q = -5*v - 60 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2 + 10. Does 7 divide (39\/6)\/(i\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 + 290. Let z be (-4)\/14*-7 + (v - 1). Let w = z + -9. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 5*m - 4. Let t be x(4). Let h = t + -6. What is the second derivative of 4*d + 0*d**3 - h*d + 3*d**3 + 2*d wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000101001111101000000101 - -11?\nAnswer: 1010000101001111101000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 40. Find the common denominator of (-5)\/2*b + -2 and 17\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 6, -3\/7, -0.2, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00839938 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*l**2 + 16\/7*l - 64\/7.\nAnswer: -(l - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3339*g**3 + 3054*g**3 - 5894*g**3.\nAnswer: 499*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13230\/75)\/21*(-65)\/26\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n + 2*n + (1 - 1 + n)*(3 - 3 - 4) + 2*n + 2*n + 0*n - 2.\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 54. Let z = 18 + -15. What is the highest common factor of p and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(7 + -6)*3\/(-2). Solve 10 = -8*j + k*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - 35*o**2 + 12*o - 18. Let m be z(12). Let y = -11 + m. What are the prime factors of y?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqh when three letters picked without replacement from {h: 1, f: 2, q: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/25*4\/2 - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 7, -3, 0, 4 in decreasing order.\nAnswer: 7, 4, 0, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49273025.\nAnswer: 5, 1970921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*g + 31*g - 63*g)*(-1 + 1 - 2*g) + 6*g**2 + 18*g**2 + 6*g**2.\nAnswer: 194*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -502 smaller than 0.1731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + 0. Suppose 3*m - 23 = -a + 27, -a - i = -5*m. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51639768 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-2) - (-5 + 7). Suppose 140 = 13*v - n*v. Let q = v - -101. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(1\/(-8)*-4*20*-1)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2)\/(-7)*-7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/5295 and 58\/15.\nAnswer: 5295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 18\/5*i**4 - 22\/5*i**3 + 24\/5*i + 0 - 104\/5*i**2 = 0.\nAnswer: -2, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*p + 4, -g - p - 13 = -3*g. Suppose -n + g*n = 844. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 2. Let k = -101 - -106. Sort k, d, 4 in decreasing order.\nAnswer: k, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*h = 397*h - 1200 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6889*q**3 + 40587*q**2 - 34320*q - 81796 = 0. Calculate q.\nAnswer: -1, 286\/83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 24*w - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6) + 4 + (sqrt(2) - (2 + sqrt(2)))**2*3.\nAnswer: sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5653256\/9 - -628140. Let b be (8\/(-54))\/(1\/(-6)). Factor -b*x + 0 + z*x**2.\nAnswer: 4*x*(x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**5\/20 + j**4\/4 - 2*j**3\/3 + 175*j**2 + 2*j. Determine g(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2524799167?\nAnswer: 11, 137, 199, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = -10*b - 3*x, -5*b = 5*x. Sort b, 3, -1\/7, 0.3, -7 in ascending order.\nAnswer: -7, b, -1\/7, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*l = 6*l - 4, -4*l + 8 = 4*k. Find the second derivative of -31*m**2 + 2*m - 4*m + 44*m**k wrt m.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18272*l*v**6 + 2*l*v**4 - 4*l*v**2 - 228*l + 3*v**2 wrt v.\nAnswer: 2192640*l*v**3 + 48*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - (-1 - -4) - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-6))\/(j*j**(-1\/3))*(j*j\/(j**7*j))\/j*j\/(j\/(j\/j**(-2\/17)*j*j)))**(46\/5) assuming j is positive.\nAnswer: j**(1150\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 225551*f**3 - 2*f**2 + 6*f**2.\nAnswer: 225551*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 56 - (-3 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 59. Let r = -6225 - -8792. Suppose -8*a + r = -441. Calculate the greatest common divisor of a and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 2, -1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 51462 (c) -5 (d) 2\/15 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*u**3 + 563 - 1434*u - 2*u**3 - u**3 + 1434*u + 12*u**2 wrt u.\nAnswer: 105*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/20)\/((-25)\/((-497200)\/(-22))*-2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-90) - 46\/(-20))\/(44\/6)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 713 - 533. Let y = 40 - 64. Let z be (-9 - y)*(-1 - -4). Calculate the highest common divisor of z and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (232\/16)\/((-1)\/(-2)). Let p(r) = 66*r**2 + 3*r + 3. Let s be p(-2). What is the greatest common divisor of s and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1163565*p + 32 = -1163557*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 26. Let s be y(14). Suppose -s*q + 51 = 2*b - 1, -2*q - 74 = -4*b. What is the lowest common multiple of b and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 32*b - 9. What is the tens digit of g(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2459 + 4983. Calculate the remainder when f is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 - (-12 + (-10 - -17 - 4)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 + -3.7. Let y = -0.06 - -6.06. Let u = y + -11. Which is the nearest to 1? (a) p (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/3 - 4*j**2 + 8*j + 5. Let s be o(6). Sort -29, -5, s in descending order.\nAnswer: s, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 - 11*q**2 + 210*q - 201. Determine h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1215)*2 - sqrt(1215)) + sqrt(1215))*-3*4)\/(3*sqrt(108)*-5*4).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1058364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.33 and 3.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 26*o = -41765. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0.7. Let z = v - 1. Let o be 4\/(-45)*(-6)\/4. Which is the third smallest value? (a) o (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*3\/12 - (-20)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 26. Suppose o*j + j - 2*f = 76, 0 = j + 5*f - 41. Let d = -19 + j. Let k(y) = y**3 - y**2 - 4*y + 3. What is k(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343442928.\nAnswer: 2, 83965183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (90271 - (-3 - -3)) + 16\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432280 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 8*y - 5. Let s be x(6). Let v be 2 + (-5 - -2) + s. Is 6 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -70*l. Let a be b(-1). Suppose 5*n - 5*v - 111 = -11, 3*n - a = v. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 32*g - 47. Calculate j(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -646 + 324 + 322 + 73*v to c + n*v and give n.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(60)\/sqrt(5)) + (-1 + sqrt(51)\/sqrt(3) - sqrt(17)) + -1)**2 + (-6*(sqrt(1700) + 2)**2 - ((-3 + sqrt(1700))**2 + 2)).\nAnswer: -11914 - 184*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 13*a + 15 = 0. Let p(g) = g**3 + g**2 + 1. Let x(k) = 2*k**3 + 5*k**2 + 2. Calculate a*p(u) + x(u).\nAnswer: -u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/13 - 12*y**2\/13 - 410*y\/13 + 3300\/13 = 0 for y.\nAnswer: -15, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**7\/1680 - x**6\/180 - x**5\/10 + 7*x**4\/24 - 2*x**2 - 5*x. Let w(j) be the third derivative of r(j). Determine w(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/375494 and 109\/205395218.\nAnswer: 205395218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {o: 3, q: 6, w: 3, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/6258 and 37\/894.\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.013, 1\/9, 3.\nAnswer: -0.013, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225155857 is divided by 3360535?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 1, d: 1, r: 2, a: 2, c: 2}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 40*u - 287. Calculate f(0).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 bigger than 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14231.000059072 - 14231. What is m rounded to 7 decimal places?\nAnswer: 0.0000591","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1283882.2 rounded to the nearest ten thousand?\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 752 divide 119217460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 2*m + (6 + 0 - 4)*(-3 - 2*m + 3) - 6*m - 10*m - 7*m)*(3*m**2 - m + m) - 3*m**2 + 3*m**2 - m**3.\nAnswer: -85*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 228530 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 45 = -3*g. Put g, 2, 0, 4 in descending order.\nAnswer: 4, g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(2*sqrt(1089) + sqrt(9)).\nAnswer: sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42995827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**2*s**2 + 237*m*s**2 + 100*s**2 + s wrt m?\nAnswer: 8*m*s**2 + 237*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 56*j. Let p(o) = o + 14. What is t(p(l))?\nAnswer: -l**2 + 28*l + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -27*s**5\/7 + 4677*s**4\/7 - 1371*s**3 - 114873*s**2\/7 + 256800*s\/7 - 51300\/7 = 0.\nAnswer: -5, 2\/9, 2, 5, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -14*z + 60, -142 = 5*q - 137 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5999*y**2 - 10*y. Let p be l(-10). Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 16. What is a(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164295566*s**3 - 13*s + 11150864?\nAnswer: -985773396*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (0 + 4 - (-5 - (4 - 13)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -23*j - 12. What is s(-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o + 21. Is 3 a factor of j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 11*u + 2. Let w be x(-11). Suppose -1088 + 2766 = w*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99660 + 175?\nAnswer: 99835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 820645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 168\/4100765 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*r + 163, -7*o + 3*o + 128 = 4*r. Calculate the remainder when o is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(190)*-1*1 + sqrt(190)*-1*2)\/(sqrt(640) - (sqrt(640) - 2*sqrt(640)) - (sqrt(10) + 2*sqrt(40))) + -4)**2 + -3.\nAnswer: -6684\/121 - 72*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*g + 1027 = -6*b, 4*b + 826 = 2*g. Let u = -201 - b. Solve u*x + 4*s = 0, 5*x - 3*s = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + 4 + sqrt(832)*2 + 3.\nAnswer: 14 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s. Let m be z(-2). Let r be ((-2)\/(-1))\/(2\/(-8)). Let l(b) = -b**3 - 9*b**2 - 10*b - 6. Let i be l(r). Solve -m*n + n = -i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 3 - 6 - 1 - 4.\nAnswer: 3*f - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**4\/8 + 4*p**2. Let r be (-12)\/54 - 4\/(-18). Let h be o(r). What is the nearest to -2\/3 in 0.3, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 5 (c) 34\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235193 is divided by 26109?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 42 = -3*p - i, 2*i = p - 6. Let w(z) = z**2 - 10*z + 14. Let s be w(p). Let n = s - 11. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 328625?\nAnswer: 4\/328625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*w**5 - 486*w + 400*w + 4*w**5 wrt w?\nAnswer: -1860*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484801430 a multiple of 5659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = c - 340, 2*g + 3*g + 562 = 4*c. Is g at most -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1944, 1928, 1902, 1854, 1772, 1644, 1458, 1202?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**1*y)**(-7\/2)\/(y**(-2\/7))**(-50))**(7\/4) assuming y is positive.\nAnswer: y**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:45 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -14*p + 30, 9*p + 0*p = p + 3*m - m - 4*m + 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4775, -5592, -6409, -7226, -8043, -8860?\n\"Answer: -817*p - 3958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -48. Let y(q) = 8 - 20*q**3 + 13*q**3 - q + 6*q - 4*q**2 + 8*q**r. Let i be y(6). Round i to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 1 - 1. Let i(l) = -1712*l**2 + 870*l**2 + 855*l**2. What is x(i(z))?\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/4 + 2*l**3 + 3*l**2\/2 + 2*l + 1. Let r = -59 - -54. What is the remainder when 45 is divided by t(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13 - (-4 - 1*(-2 + -4)). Let i(s) = 2*s - 1. Let m(k) = 6*k - 2. What is c*i(l) - 4*m(l)?\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 119?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-56) + 943\/(-322)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6635 + -6421. What is the remainder when 751 is divided by a?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 3*g**2 - 5*g + 6. Let b be p(4). Let u(x) = -2 + 12*x + 2*x**2 + 2*x**2 + x**2 - 4*x**b. Calculate u(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.4, -2, 177\/5, 4, 31\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, m: 1, a: 3}. Give prob of sequence gma.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/60 - a**4\/4 + 7*a**3\/6 - 18*a. Let k(d) be the second derivative of t(d). What is k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -43774ac?\nAnswer: 43774ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26282.123 and -2.\nAnswer: -52564.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583121 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 6, r: 1, z: 4, g: 1}. Give prob of sequence rz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 1, a: 1, j: 2, y: 1, v: 1}. Give prob of picking 1 j and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -111, -47, 55, 201, 397, 649, 963?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(0 + sqrt(13) + sqrt(13)) + -2 - ((sqrt(1053) - sqrt(1053)*1)**2 + 2)) + 3.\nAnswer: 4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*w + 3604*y + 232 = 3608*y, 3*w - 156 = 6*y for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + 80. Let t be f(0). Suppose 2*j + t = 6*j. What is the greatest common factor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904804*x**3 + 1807807*x**3 - 903015*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 810, 36, -4, 3 in ascending order.\nAnswer: -4, 3, 36, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62710 and 9268538?\nAnswer: 46342690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7468, 7237, 7006, 6775?\n\"Answer: -231*d + 7699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2099 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-54)*6\/4. Solve -q*z**5 + 0*z**2 + 0*z + 0 - 4\/3*z**4 - 2\/3*z**3 = 0 for z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + r + 3*r - 7*r + 5*r. Let o(a) = -42*a**2 + 3. Give p(o(g)).\nAnswer: -42*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2074, 11479, 20884, 30289?\n\"Answer: 9405*d - 7331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.71 - -0.21. Put 55, -0.2, w, 3 in descending order.\nAnswer: 55, 3, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 3*p + 1. Let a be z(-2). Suppose -2*t + 45 = 5*c, c - 6*c - a*t = -45. Find the second derivative of 10*w**2 - 4*w**2 + 3*w - c*w wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from sspxzjpzxsxzxxjvpxx.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23647\/335 - 4716\/67. Factor 0 - 1\/5*f**2 + r*f - 2\/5*f**3.\nAnswer: -f*(f + 1)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2609\/15 - 174. Let x(r) = -r**2 - 9*r - 19. Let o be x(-3). Which is greater: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 0, -1\/2, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 480449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/8 + 8\/((-384)\/(-46362))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4) + (-21)\/84.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1645048685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-3 - -6) - -19. Suppose n - 17 = 2*t. Let m be (-2 + t - 1)\/((-13)\/169). Sort -5, 1, -1, m in increasing order.\nAnswer: -5, -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70761*s = c + 70762*s + 2, -c = -s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -11*y + 9. What is the least common multiple of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 0*w + w**4 + 6*w - 4*w + 3*w**2 + 0*w**4 as k*w**3 + a*w**4 + u*w**2 + f*w + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.81 meters to micrometers.\nAnswer: 351810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135246 or -135248?\nAnswer: -135246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/((-36)\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46, -43, -38, -31, -22?\n\"Answer: g**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 3*v**4\/4 - 65*v**3\/2 - 33*v**2 + 326*v. Determine g so that o(g) = 0.\nAnswer: -1\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -30. Suppose -h = h - s. Let v(f) = -18*f. Let k be v(h). What is k rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14424342 (base 7) to base 11\nAnswer: 854650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/27 and 4\/946251.\nAnswer: 2838753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/7)\/v)*v**4)\/((v\/(v\/(v*v**6))*v*v)\/(v*v**(-1\/3)*v)))**18 assuming v is positive.\nAnswer: v**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 163c (base 13) to base 15\nAnswer: e77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 15*f - 19. Let m be s(16). What is the units digit of (-2)\/9*6*m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8086 = -26*v - 13*v + 26*v. Which is smaller: v or 623?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1485 and 1311225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1025 - -2?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 less than -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b**2 - 1. Let v be l(-1). Let m = v - 4. Solve -3*h + m = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 96.1721 micrometers?\nAnswer: 0.00961721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64967 > 64967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 118*b - 940. Let z be a(8). What is the fourth biggest value in z, 0.1, 16\/7, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 685 and 11?\nAnswer: 7535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 11 - 10. Suppose -w*j + j - 4*x = -48, 5*j = -x + 138. Solve -j = -5*d - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 22, 0.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 67293\/9816 - (3 - 0). Let h = 8\/409 + r. Calculate the common denominator of h and -95\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16350*o = 2*w + 16354*o + 68, -280 = 6*w - 7*o for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080139 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) -0.389 (c) -1.9 (d) 1\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*x = 8, 5*x + 12 = 98*j - 20*j - 53*j - 22*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3519 and -169\/89148?\nAnswer: 267444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5023*q**2 - 6*q**3 - 6 + 13 - 7 + 5023*q**2.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5844 and -0.012?\nAnswer: -0.0070128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(-3\/22)\/(s*s**(-2\/7)\/s)**(-22\/5) assuming s is positive.\nAnswer: s**(-101\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 15*d**2 - 10*d + 6. Let u(p) = -p**3 + 16*p**2 + 9*p - 7. Let x(k) = 4*b(k) + 3*u(k). Is x(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004337433663 rounded to seven dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -n - 50, -5*q + 2*n = -3. Factor -1\/8*p - 3\/4 + 3\/4*p**2 + 1\/8*p**q.\nAnswer: (p - 1)*(p + 1)*(p + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*v + 8, 13 = 4*v + 1. What is the remainder when (-58)\/(-6) + (-2)\/(-6) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8258795 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + q = -0*h + 12, 0 = 5*q. Suppose h*v - 22 - 50 = 0. Let c be (9\/v)\/(2\/4). What is the nearest to c in 0.2, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290731249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 19*z + 92 = 0. Calculate the remainder when -86*(0 + 2\/(-4)) is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.27217g in nanograms?\nAnswer: 28272170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4830?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174211327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70700837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14\/12 - (-2)\/(-4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 227113 - 906162.71\nAnswer: -679049.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3783, -7657, -11531?\nAnswer: -15405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 62943 = -5*c, -3*t = -2*c + 70795 - 23605. Let l = t - -692251\/44. Find the common denominator of 13\/4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, -210, -891, -2268, -4575, -8046?\n\"Answer: -39*d**3 + 3*d**2 + 45*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 8*t - 56. Let k be d(-13). What is the greatest common divisor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4 = m, 2*t - 13 = -4*m - 39 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 7*i**5\/20 - i**4\/12 - 2*i**2. Let t be z(2). Suppose 3*d - t = -d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + a + 115 = -2*f, -4*f = a - 65. Solve 4*o + 2 = -t + f, 0 = 5*o + 4*t - 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2597 - 2596. Which is smaller: 141 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25039742 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2794 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4874*o - 45139 + 12964 = 8200 + 27861 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**2 - 8*u**2 - 41 + 11*u + 17*u**2 + 8*u. Does 7 divide h(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 1. Let l be o(-3). Let i be (-2 + 18 - -2) + 96\/(-24). Let c be 6 - (i\/4 - 3\/2). Solve -17 = c*a - 4*g + 3*g, -a - 17 = l*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 67 + 7. Let k = 6 + m. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = w + 3*h, 64 = 4*w + 4*h. Let y be 5\/1*18\/w. Suppose 0 = 3*r + 4*a + 12, r + 26 = -91*a + 86*a. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 160. Let v(b) = -b**2. Calculate v(c(z)).\nAnswer: -16*z**2 + 1280*z - 25600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h + 81 = -149. Sort h, 3\/4, 1\/33, -7.\nAnswer: -7, 1\/33, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 115*d**2 + 344*d. Calculate c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.784064l?\nAnswer: 784.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58138 and 216954.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:48 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:37 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 10. Let o be ((-16)\/10 + -2)*z. Suppose 116 = 5*k + 3*l - o, -5*k + 160 = -5*l. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150\/207029 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-337 - q**2 + 337 - 9*q)*(q - 2*q - 3*q)*(1 - 1 + q)*(0*q + 0*q - 2*q).\nAnswer: -8*q**5 - 72*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020111 (base 4) in base 9?\nAnswer: 6313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 + 5*b**3\/3 - 13*b + 83. Let c be x(3). Solve 4*i + 20 = -2*p + c*p, -26 = 3*i - 5*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79455?\nAnswer: 3, 5, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*n**3 + 56\/5*n + 32\/5*n**2.\nAnswer: 2*n*(n + 2)*(n + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5655 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, v: 2, o: 4, r: 5}. What is prob of sequence oro?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15103 (base 8) in base 5?\nAnswer: 203343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9577 and 5024.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-38)\/28)*576\/96.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 4:39 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36247*y**4 - 2*y - 2*y**2 - 36244*y**4 - 8*y + y**3 to x*y**2 + m*y**3 + r + q*y**4 + n*y and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 102001021 (base 3) to base 12\nAnswer: 47b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/5297980 and 33\/14.\nAnswer: 37085860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/132 and 79\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -188236, -376481, -564726, -752971, -941216, -1129461?\n\"Answer: -188245*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12214 is divided by 3843.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.86466894 to 2 decimal places.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 3) + -41 + 23 - -83\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.28 + -28. Let t = 0.2799939 - f. Round t to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/5 - 123543*x**2\/5 + 202644423*x\/5 - 16302638985.\nAnswer: -3*(x - 797)**2*(x + 42775)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005357 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848689 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*i**2 - 108*i.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 5*r + 1. Let g be o(5). Let t be 5 - g*(-33)\/(-6). Let s = -10 - -15. Which is the closest to -2\/11? (a) t (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by -14\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6 = -2*q, 45*o - 40*o - 32 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let h = -4.03 + 0.03. Let p = -4.1 - h. What is the nearest to d in -2\/9, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwdwwrdddxddnwd. Give prob of picking 1 n and 1 r.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34783788 divided by 4\nAnswer: 8695947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x - 19. What is z(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-21) - (-4)\/(-14). Suppose 0 = -5*z - f + 27, 24 = 3*z + z + u*f. Which is smaller: z or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5450144 rounded to four decimal places?\nAnswer: 0.545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -l - 17, -3*z + 55 = -5*l. Let f = z - 10. Let w(t) = t**2 - 3*t - 8. Let q be w(5). What is the second smallest value in f, -1, q, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*t - 22, -3*q + 6*t - 7 = 2*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 522*u**2 + 1050*u - 526.\nAnswer: -2*(u - 1)**2*(u + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r + 16. Let f be u(0). Let s(z) = 4*z - 56. Let l be s(f). Calculate the highest common factor of 128 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((7\/(63\/45))\/(-6))\/2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06280341 and 17014716.\nAnswer: 17014716.06280341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = 5. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47\/5? (a) -1 (b) 201 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -196.5 and -123246432.93.\nAnswer: -123246629.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 21 = 4*a + v - 49, -12 = 17*a - 2*v + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 16 = -12*p. Let c be 0 + 10 + -1*1. Is (c\/2)\/((-3)\/p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (330 - 3) + (8\/4)\/1.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -417, 0, 1, 28, -3, -4, -2 in increasing order.\nAnswer: -417, -4, -3, -2, 0, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 129 - 562?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2640*f - 47749. Give q(18).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*r + 26 = 0, -2*r = -5*g + 3*g + 6. Let a be 10\/(-6)*(17\/g - 7). Suppose y + a = 14. Solve p = -p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q + 47*q - 27*q.\nAnswer: 58*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122631.\nAnswer: 3, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/14)*p))\/p**(-7))**8*(p*p**(-5\/2))\/p**5*((p**(2\/3)\/p)\/p)\/p*p**(2\/9) assuming p is positive.\nAnswer: p**(5899\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61146960101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(84\/(-8))\/(-7). Put 0.5, g, -0.5 in descending order.\nAnswer: g, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.2 - -23.231. Let s = -0.37 - d. What is s rounded to 2 dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2*u = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*10\/75)\/(4\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 + -148. Sort 0.2, a, -0.19 in increasing order.\nAnswer: -0.19, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 348, 534, 730, 936, 1152?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2933042\/15 + 2\/15*c**2 + 4844\/15*c.\nAnswer: 2*(c + 1211)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 26 = -2*a, -98*a + 100*a - 13 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 751.7701 tonnes in kilograms?\nAnswer: 751770.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 194. Calculate the remainder when v is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942267754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5044*z + 3407*z + 523962 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/35)\/(32\/((-31680)\/(-54))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g - 5. Let o be m(1). Suppose -17 = -o*w + 43. Solve 4*q - 6*q - w = -4*v, v = -3*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/4 - 3\/(-3). Suppose -4 = -u*s + 35. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-27)\/(-6) + (1 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94976528 to the nearest integer?\nAnswer: 9746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 14*x**2 - 3. Let f(p) = 2*p**3 - 28*p**2 - p - 6. Let m(q) = -2*f(q) + 5*s(q). Is m(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 5*r + 56, 0 = -2*r + 4605 - 4631 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173576221.\nAnswer: 7, 13, 1907431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 887 and 35507497?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7498*x - 7439*x + 1003 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2)*i)\/i**(-1))**(-1\/21)*(i*i**8*i*i*i**0)**(1\/51) assuming i is positive.\nAnswer: i**(103\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 335209 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2, -2*z = 2*a - 7084 + 2070. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42168599 is divided by 150.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -297 and 0.0488201144622.\nAnswer: -296.9511798855378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 4*x**3 - 5*x**3)*(-x**2 + 5*x**2 - 2*x**2 + 16*x**2 - 52*x**2 + 23*x**2 - 2*x**2 - 2 + 2 + (-x + 2*x + 0*x)*(x - 6*x + 4*x)).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47152?\nAnswer: 2, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 8*w**2 - 10*w + 43. What is the units digit of p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = -c - 11, -m = -3*c - 17. Suppose -5*h + m*s - 208 = -1242, -2*h - 3*s + 406 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 + 165*z**4 + 630*z**3 + 930*z**2 + 615*z + 153 = 0. What is z?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 242630 divided by -31\nAnswer: -242630\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*z - 163*z - 18 - 22. Solve 0 = 6*k - 10*k - 2*r + z, -k - 4*r = 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8536*p - 22. Let f(w) = 12805*w - 35. What is 5*f(n) - 8*r(n)?\nAnswer: -4263*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + -0.02. Let x = u + 0.04. Let p = 0.24 - x. Which is the closest to p? (a) 5 (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*-6*(-4)\/60)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 568, 2028, 4382, 7630, 11772, 16808, 22738?\nAnswer: 29562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509268.123 minutes to weeks.\nAnswer: 50.52263125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 579*n - 330268. Let z = -14 - -126. Calculate the smallest common multiple of z and i(354).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*5*3\/(-120))\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*t = 57*t + 5. Suppose 0 = t*a - 287 - 2363. Is (-2*9\/12)\/((-15)\/a) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 + 3*t**2 + 6*t + 9. Let n be q(-3). Calculate the common denominator of -9\/4 and 14\/(-112)*n\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-167)\/1)\/(0 - 1). Let f be 1406\/14 - 24\/(-42). Let y = k - f. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*o**3 + 80*o**3 - 104*o**3 + o**2 + 280*o**3.\nAnswer: 177*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 8. Let c be x(-6). Suppose 4*z = -c*d - 61199992, z - 2*d - 30599992 = 3*z. Round z to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1834 and 30854299.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8852943 + 8852943 + 10*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 20*i**3 - 2*i**2 - 2*i + 1. Is j(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus 1067815?\nAnswer: 1067813.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -669*h**2 + 95*h - 81. Determine o(1).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.7748639*-3.\nAnswer: -26.3245917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423*b**5 + 1207*b**2?\nAnswer: 25380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1167 and 75\/64574?\nAnswer: 193722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - 33\/(-42)*6. Suppose -4*s + 15 = -i. Solve c + 5*r = s, c + r = -3*r + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwg when three letters picked without replacement from qwhwqggggqwwhqwwwgw.\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)*1*3)\/(sqrt(150)\/sqrt(3) + sqrt(2)) + sqrt(8)\/(sqrt(4) + sqrt(64)*-1)*5)**2.\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2661)\/(-12) + (28\/(-16) - -2) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((-12 - -21) + -1) - (41 + -4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:29 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -9*r + 5*r + 3, -5*r = 15. Suppose -m*a + 628 = -752. Let g = 400 - a. 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 hundreds digit of 1622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*n - 3*p, -2 = p - 2*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -568284*f**2 + 100*f - 2197?\nAnswer: -1136568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h**3 - 84*h**2 + 12*h - 55. Calculate c(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -24 - -3) + -25 + 32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 4*c**2 + 6*c + 16. Let u be y(-4). Let a be (-2)\/5*(-5)\/1. Let k be (0\/a - 7)*-1. Calculate the highest common factor of u and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 15453?\nAnswer: 92718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(2) - sqrt(63))\/sqrt(3))\/(sqrt(70)\/(sqrt(10)*-1 + sqrt(10) - sqrt(10) - sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acc when three letters picked without replacement from cliwcciliaclc?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 138646856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 1003157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:16 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3 - 4 + 186*f - 200*f. What are the prime factors of d(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(153) + -3)**2 + 0)*3.\nAnswer: -54*sqrt(17) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2 + 12*z + 3. Let g be v(-5). Let r(c) = 4*c**2 - 2*c. Let k be r(g). Solve -3*q + k = -6*q, 0 = m - 3*q - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1655813.\nAnswer: 2\/1655813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g**2 - 61*g + 10. Let i be r(4). Suppose 5 = 3*h - 10. What is the third derivative of h*w**3 - 11*w**i - 5*w**3 + 48*w**2 - 25*w**2 wrt w?\nAnswer: -1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6298 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -429*o + 6879. What is p(16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j - 50 + 90. Let d(p) = p + 4. Let t be d(-6). Let y be (2 + (-16)\/10)\/((-5)\/(-25)). Sort -1, j, y, t.\nAnswer: t, -1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -713 + 1817. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*f = -y - 7, -5*y = -2*f - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 15 = -r, -2*r - d + 7 - 17 = 0. Let k be (4\/(-24))\/(1\/4). Which is the closest to k? (a) -2\/5 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265294 is divided by 35147.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -168873 and -0.099.\nAnswer: -168873.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*p + 7*g + 3168816, 0 = 5*p - g + 5281378. Let v = p - -3224192. Let q = v - 967917. Round q to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/3*1 + -2. Let u = y + 17. What is the smallest value in 0.3, u, 0.02?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -0.7, 4, 6\/7, 4\/7, -8\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o = 59*o - 504. What is the remainder when 82 is divided by o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 1, r: 2, v: 3, b: 2, a: 2}. Give prob of picking 2 b and 2 r.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 5*r + 145, -2669*u = -2673*u + 3*r - 87 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 19. Let x be z(-14). Suppose -4*q = 29 + 19. Let d = x - q. Calculate the greatest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 7*p - 10. Let j be f(-7). Let o = j - -28. What is the greatest common factor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.3695 to 1 dp.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 41*n - 213. Let c be i(5). Let j(o) be the second derivative of o**4\/12 + 7*o**3\/6 - 2*o**2 + o. What is j(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -4) + -16 - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1617 - 1138. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -59d30 - -1a0?\nAnswer: -59b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*11\/(154\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054 less than 46?\nAnswer: 46.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/31))**(-40)*(f*f**10)**(-43) assuming f is positive.\nAnswer: f**(-14743\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19038 is divided by 603.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*b + 32 = 3, -3*h = -2*b - 47. Let s be (0 - -14)*(-10)\/(-4). Let i = s - h. Calculate the greatest common factor of 96 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:27 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28018912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 3*b + 111. Determine m(0).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 + 7 - -1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 2:43 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*g - 24 = h, g + 4 = -4*h. What is the units digit of 0\/(-1) - (-5 + h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 2*r**2 + 7*r + 4. Let n(b) = b + 13. Calculate the remainder when n(9) is divided by h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 15435545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.018.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight thirds of a year in months?\nAnswer: 352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*p + 56 - 2, 2*p - 974 - 607 = 44*k - 393 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 15*w**3 + 5*w - 7*w + 12*w.\nAnswer: -15*w**3 + 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcaccgacvag. Give prob of picking 4 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057420309 to six decimal places.\nAnswer: 0.000574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1 = -82. Calculate the remainder when r is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -248, -836, -1960, -3794, -6512?\nAnswer: -10288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -260, 6360.\nAnswer: -260, -4, 6360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 216, -0.3, -2\/595, -3\/5, -7?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -2*h - 729. Let u = h - -270. Calculate the greatest common divisor of u and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**6\/10 - 100*w**4\/3 - 2018*w**2 - 12*w - 9. Differentiate p(n) with respect to n.\nAnswer: -12*n**3 - 800*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -8, -9 in descending order.\nAnswer: 4, -1, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 66 + 8 + 8*x - 80. Determine f(-5).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -173 - 3a?\nAnswer: -1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -6 (b) 45 (c) -1\/33 (d) -1\/9 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + (3 + (-18 - (-13 + -4)) - (-10 + -1))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*10*5\/(-20). Suppose 11326 + 16964 = -r*a. Is (18\/(-54))\/(2\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 2, 9, 38, -234 in ascending order.\nAnswer: -234, 1, 2, 4, 9, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + 2*i - 2. Let v(z) = z**3 - z**2 + z - 1. What is -l(f) + 2*v(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 299526132 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2240) + sqrt(4235)*3)\/(sqrt(28)\/(-3*sqrt(4)) - (sqrt(42)\/sqrt(2))\/sqrt(3)))**2 + -1.\nAnswer: 12989\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t**2 + 68 - 2*t + 14*t**3 - 10*t**2 - 6*t**3 - 70 to the form j*t**2 + d*t**3 + c + u*t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:54 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 516315 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 166 + (40123 - 40144)\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 10*u - 7. Let b be s(9). Let k be (-4)\/26 - b\/65. Let a be (-17 + k)\/((-4)\/(-14)). What is the greatest common factor of 126 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 18*u**2 + 30*u + 175. Let s be a(-19). What is the closest to -1\/5 in -1, s, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0. Let o = 247\/5 - 50. Let w be (4 - (6 - 1))\/5. Sort w, o, s in descending order.\nAnswer: s, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1e4?\nAnswer: 1e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = m - 4, 0 = -4*u + 5*m + 158. Suppose -5*k + 11 = -4*k + 3*x, 5*k = 3*x + u. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d - 20. Suppose 5*i + 63 = 118. Let m be s(i). Let z = 132 - m. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1834 + -405833723333.\nAnswer: -405833725167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401975?\nAnswer: 5, 7, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29674\/357 or -83?\nAnswer: -29674\/357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1720299 by -245757.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 637?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0 + 1\/3*d**3 + 3*d**2 + 1\/210*d**7 + 0*d + 0*d**5 + 0*d**6 + 0*d**4. Differentiate b(a) wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 15, 2*f - 5*n - 195 = -3*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from gbnbbgngbnnnn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 t when three letters picked without replacement from rtyrryrtn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**8\/6720 + n**5\/60 + n**4\/8 + 3*n**2. Let y(p) be the second derivative of k(p). Differentiate y(s) with respect to s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 - 15*v - 4. What is the remainder when 102 is divided by q(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956328063?\nAnswer: 3, 23, 13859827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**3\/3 + 494*n. Let u(s) = s**2 - 78. What is c(u(b))?\nAnswer: -2*b**2 + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a091 - 1?\nAnswer: 9a090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(4\/64 - 0). Suppose 15*n = 19*n - u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16.4972 or -11?\nAnswer: -16.4972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**4 + 3. Let k be 51\/6*-2 - 0. Let a(v) be the first derivative of 14*v**5\/5 - 9*v - 4. Let h(r) = k*p(r) - 6*a(r). Differentiate h(m) wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -882.0000000126 + 882. What is s rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 2*d**3 - 7*d**2 + 0*d**3 - 3*d**3 to the form t*d**2 + q*d**3 + j + i*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 0*v**3 + 0*v**3 + (-2 + 2 - v)*(-3 + 3 + 2*v**2) + 4*v**3 - 3*v**3 + 0*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + t + 174 = 0, 82*l + 2*t - 232 = 78*l. Let s = 66 + -42. Suppose -2*h - s = -4*h. Calculate the remainder when l is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26412204 divided by 33098\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60054949147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (12 + -60 + 17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:22 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25292316 is divided by 181959?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13172711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2335*r**3 + 770 wrt r?\nAnswer: 7005*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -112110211?\nAnswer: -112110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 1. Let k(h) = 27*h - 5. What is -k(c) + 6*x(c)?\nAnswer: -33*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 429294096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005896626 rounded to seven decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -54*q - 905. Determine u(-16).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/10 - (-9)\/6. Does 6 divide -2*r*8\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 197. Determine b(-58).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {k: 5, l: 2, h: 1, q: 7, m: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -21, -2, 1, -8, -467 in decreasing order.\nAnswer: 3, 1, -2, -8, -21, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*l - 43. What are the prime factors of 1*(-3 + l\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:40 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 + 79*d**2 - 61*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 207891*s\/2 + 43218667881\/4.\nAnswer: (s - 207891)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = -g + 4*j, -388 = 8*g - 10*g - 4*j. Suppose 4*d = -o + 39, 2*o - 84 = -3*d - 2*d. What is the remainder when g is divided by o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/7064 and 13\/222886.\nAnswer: 787233352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23595 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -10896 in ascending order.\nAnswer: -10896, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1634, 3418, 5246, 7142, 9130, 11234, 13478, 15886?\nAnswer: 18482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-183)\/(-3355)*(-10)\/6\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 61801.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 39*z**2 + z + 41. Let c be o(-39). What is the hundreds digit of 1689\/c*(-32)\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (68\/(-3))\/(520\/(-390)). Solve 0*w = n - 3*w - y, w - 5 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5276?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*g + 16 = 88*g. Let u be (-1)\/(-2)*(-36)\/(-2). Solve -g*k + 3 = -u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(9 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2134534, -4269085, -6403636, -8538187?\nAnswer: -10672738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14*d. Let j(m) = 7*m. What is j(v(a))?\nAnswer: 98*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f + 1. Let a(q) = -3*q**3 - q**2 + 4*q - 2. Let w(g) = -3*a(g) - 6*u(g). Determine p, given that w(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 49*a - 97 = 47*a, -6*w = 3*a + 48 + 111 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3 = -13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**4\/8 - 2*b**3 - 4*b**2. Let g be y(9). Calculate the greatest common divisor of 105 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 + 5*o**2 - 2*o**2. Let j be 47\/15 + (-4)\/30. Let g(t) = j*t + t - t. What is a(g(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218? (a) 3.15 (b) -2975 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 4*w = -4*k - 29, -w - 1 = -4*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/71, 0.07 in increasing order.\nAnswer: -4, -2\/71, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 5, a: 3}. Give prob of picking 1 a and 1 u.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -19. Suppose 3*i - 63 = 3*t, -i = -5*i - 5*t + 93. Suppose -3*f + i = 4*p, 0*f + 16 = 2*f + 3*p. Solve 2*v + f*v = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwdtwtvdtywtyttwy. Give prob of picking 2 d, 1 y, and 1 v.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, 2, 99, 3, -1, 4 in descending order.\nAnswer: 184, 99, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19 + 21)\/(6\/39). Let d(k) = -k**2 + 31*k - 43. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/172694583 and 11\/407619?\nAnswer: 518083749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - y + 5. Let c be s(-3). Let p = c - 82. What is the remainder when 61 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*h + 14 = -51, -5*y + 5*h = -85. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:22 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*q**2 + 39*q**4 - 31*q**2 - 2*q**2 + 209*q**4 - 4*q**2 wrt q.\nAnswer: 5952*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 + 744*k**4 + 1468*k**3 - 744*k**2 - 1472*k = 0. Calculate k.\nAnswer: -184, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1818 + -1818. Let m = -7 + 11. Suppose -4*g - m*z = i, -3*g + 3 + 5 = z. Solve -4*j = j + 10, r = -g*j - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264229 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*m + 34681 = 216*m - 44391 + 17387 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -290316, -580971, -871626, -1162281, -1452936, -1743591?\n\"Answer: -290655*y + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzxxz. Give prob of sequence zzzx.\nAnswer: 1\/7","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: What is next in 52837, 52827, 52817, 52807?\nAnswer: 52797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -36f1 (base 16) to base 2\nAnswer: -11011011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-2) - (4 - (-1 + 2)). Suppose g - g = -a*g. Solve g = -2*n + 2 + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4 (c) 218 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.13 times -5?\nAnswer: -1935.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**4\/12 - 4*u**3\/3 + 2*u**2 - 5*u. Calculate h(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4746 times 9?\nAnswer: -42714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2) + 1 + 0. Let w be s\/3 + 84\/(-180). What is the third smallest value in 2\/11, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 89, 2, -3 in ascending order.\nAnswer: -3, -2, 1, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2200 - -2190. Let r(o) = o**3 + 11*o**2 + 11*o + 19. Give r(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g - 20, 0 = 5*n + 3*g + 22. Let y(w) = w**2 + 2*w + 2. Let c be y(n). Solve -5*k + c*q = 19, 3*q - 18 = -0*k + 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 32, 3426, -9, -2, -4 in ascending order.\nAnswer: -9, -4, -3, -2, 32, 3426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(2\/33)*y)\/y*y)\/(y\/(y*(y*y*(y\/y**(8\/3))\/y)\/y)*y))\/(y*y\/y**(1\/4)*y)**9 assuming y is positive.\nAnswer: y**(-1121\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 3*s**2 - 2*s**2 - 5*s**3 + s**3 - 4*s.\nAnswer: -4*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2400 + 2960. Calculate the remainder when x is divided by 148.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 164*t + 35. Is m(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*f**3 + 127*f**3 + 139*f**3 + 109*f**3.\nAnswer: 106*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) -141 (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.1379536 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 + 2*z - 4. Let c(i) be the second derivative of i**5\/20 - i**4\/3 + i**3\/3 - 3*i**2\/2 + 22*i. Calculate -5*c(f) + 4*u(f).\nAnswer: -f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = m - 1 + 92, 4*f + 4*m = 68 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/10)\/((-7)\/(-15)). Suppose -2*j + 3*n + 352 + 505 = 0, 1749 = 4*j + n. Let k = -438 + j. Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 1 = q, -126*f = -129*f - 3*q - 3*q - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + (-10 - (-881 + -13)). Calculate the greatest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1379 and (-1 + -1*7)\/((-36)\/(-66)).\nAnswer: 4137","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4022232 to the nearest integer?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 40*t - 13. What is the remainder when 246 is divided by y(-38)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*u + 49 = 0, -2 = -2*x - x + 4*u. Let l(q) = -28*q - 18. Is l(x) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 21*u. Suppose u = 10*l + 1511 - 14141. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10703275 + 107753?\nAnswer: 107753.10703275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2676, -5353, -8034, -10719, -13408, -16101, -18798?\nAnswer: -21499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -218.\nAnswer: -35\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -11 + 12 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 69099235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 19*i - 46. Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.732909 millimeters in kilometers?\nAnswer: 0.000009732909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4 + 3)) + 8 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5217026, 5217030, 5217034?\nAnswer: 5217038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*r + 29 - 3 = 0, -3*r = -4*k + 11. What is the third smallest value in 0, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 6:54 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 462619151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -20. Solve 0 = b*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 15*x + 127. Determine o(0).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -90169 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:12 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*p = 3*p + 34, 5*l = -2*p + 22. Let o = l + -4. Suppose s = o*s - 8. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 8786 = 652. Calculate the remainder when r is divided by 49.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105896 divided by -434.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244*w + 174 - 215 - 1827*w - 91*w.\nAnswer: -3162*w - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -46) + (-10 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -13.6. Let h be -3*(-6)\/27*6. Suppose -h*u - 2*f = -0*u - 8, 5*f + 8 = 4*u. Which is the third biggest value? (a) u (b) -3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/3 - (3 + 78). Let x be 1*2 - (-2 + 57). Let f = x - i. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) - (sqrt(576) + sqrt(576)*-1)*1 - sqrt(576))\/((sqrt(96) + sqrt(96) + sqrt(96)*2 + sqrt(96) + sqrt(96) + sqrt(96))\/sqrt(8)))**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + 23. Let q = 29 - n. Let k = -1365 + 1370. Which is the third smallest value? (a) q (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 833*s + 179985. Calculate b(-216).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -783238, -1566456, -2349672, -3132886?\n\"Answer: l**2 - 783221*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2954 = 762*a - 1148*a - 1292 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*l + 4 + 52*l + 52*l wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/130 and 121\/1482?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73, 361, 1081, 2431, 4609, 7813?\n\"Answer: 33*h**3 + 18*h**2 + 3*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 89 + 73 = 0. Does 17 divide (f\/(-3))\/(-8) - 509\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -32 + (-4 - -38)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 450316\/(-20) - 2\/10. Let k be (-3)\/(-6885)*g + -2. Let m = k - -5\/459. Calculate the common denominator of m and -63\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 7*k - 48. Let h = 36 + -41. Let m = k - h. Is 1 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/516303 or 1?\nAnswer: -2\/516303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 13*r**2 + 30*r + 8. Calculate y(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 6, -1\/8, 30\/11, -2\/9 in descending order.\nAnswer: 6, 30\/11, 2\/5, -1\/8, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-66)\/48)\/(-11))\/((-12)\/120)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1093, 1112, 1143, 1186, 1241, 1308?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2413*h**3 + 2412*h**3 + 21 + 30*h + h**2 - 33*h as p + s*h**3 + b*h + r*h**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kjggkkkkjkkj.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 99560 divided by 34\nAnswer: 49780\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2. Let o(r) = -64*r - 11. Calculate t(o(n)).\nAnswer: -12288*n**2 - 4224*n - 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*l + 25 = t, 0 = 2*t + 2*l - 2. Suppose 3*f = t*g - 1257, f = 2*g - 158 - 345. Is 39 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 15126?\nAnswer: -15122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 2894*i + 53 - 10 + 492*i as j + m*i and give m.\nAnswer: -2402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341950017 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -115737 - (1\/(-1) + 0). Let z = 54264 - r. What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 4*r - 2. Let a(v) = v**2 - v. Let b(u) = 4*a(u) + m(u). Let f(x) = 7*x**2 - 13. Determine 39*b(l) - 6*f(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6 = -5*x, 3*y + 2 - 6 = 4*x. Let a(g) = 32*g**x + 32*g**2 - 60*g**2. Let q(n) = 107*n + 3*n**2 + n**2 - 107*n. Calculate q(a(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9)*(-8658)\/26936.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 1523 + 9265 = 92*n. Let j(c) = c + 5. Let a be j(-4). Sort n, -2, a.\nAnswer: -2, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**2 - 2*o + 1. Let s(h) = 5*h**2 - 2*h. Let y(x) = -2*j(x) + 5*s(x). What is the remainder when y(4) is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6981822 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1897\/20541 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 56. Let n(z) = 72*z - 17. List the prime factors of n(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197262109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c - -48?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-2)\/(-4)*-2. Let j(x) = x**2 - 6*x + 7. Suppose -6 - 2 = 2*m. Let k(l) = l**2 - 7*l + 8. Let w(b) = m*k(b) + 5*j(b). Determine w(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = f. Let m be (17\/(-2))\/((-1)\/f). Let w = m - 7. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -31*t + 5. Let a be o(-2). Let j = a - 35. What is the greatest common divisor of 96 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (4*(sqrt(156) + (-4*(-4*sqrt(156) - sqrt(156)) - sqrt(156)) + sqrt(156) + sqrt(156)))\/((1*sqrt(108)*-5)\/sqrt(9))))**2.\nAnswer: 6336*sqrt(13) + 3646692\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211565954.\nAnswer: 2, 3, 201927659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-1)\/(-6))\/1*-12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3*x + 10*t**2*x - 5*t*x**2 + 2*t - 15*x**2 - 32*x + 1 wrt t.\nAnswer: 6*t**2*x + 20*t*x - 5*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39981.5 + -39981. What is the nearest to -0.3 in -1, 1\/3, -4\/53, p?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 10 in descending order.\nAnswer: 11, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 v when three letters picked without replacement from {v: 1, r: 11, y: 5}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.6732 litres in millilitres?\nAnswer: 692673.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 32. What is the remainder when 93 is divided by 6 - 0\/(-2)*g\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 14. Let t = 6682.4 - 6682. Which is the third smallest value? (a) -0.04 (b) t (c) -0.5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.89 rounded to 0 dps?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674932.091 rounded to the nearest one thousand?\nAnswer: 2675000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, c: 1, t: 2, n: 3, k: 1}. What is prob of sequence tmk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197989165 divided by -9235?\nAnswer: -21439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = 0, 5*k - 4*k + 2*b - 88 = 0. Solve 0 = -4*g - 17*g - k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6894 - 7172. Let h = 26.2437352 - 304.24379. Let s = x - h. Round s to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r**2 + 11. Let q = -11 - -22. Let u(d) = -5*d**2 - 6. Calculate q*u(w) + 6*o(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3*1230\/200 and 5*25*6\/(-144).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiaayiliyil. What is prob of picking 2 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143823514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1aa34 + 1?\nAnswer: 1aa35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 299*q + 1342. Calculate g(-7).\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 206 - 206 - l + 14*l**2 to q*l + s*l**2 + c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486 = -191*c - 1823 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780 and 240.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611905.7mm to kilometers.\nAnswer: 0.6119057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m\/((m\/m**(-5\/8))\/m)))**(16\/3)\/(m**(-2)*m\/m**23) assuming m is positive.\nAnswer: m**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 521*x*y + 6*x + 12 wrt y?\nAnswer: 521*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-22 - -9 - -3) + -28.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, p: 5, k: 2, z: 1}. Give prob of sequence zfk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3493*j. Let g be r(-1). Let m = -419 - -416. Is g\/(-14)*(-1 - m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 82*g + 3. Let p be n(-4). Let u be ((-16)\/(-6))\/(p\/(-39)). Let y = u + -79\/325. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 12:33 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 0.2, -1, -1056.\nAnswer: -1056, -1, -4\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.197*0.06.\nAnswer: -0.01182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*v - v. Let m = -842.94 + 843. What is the biggest value in m, -1\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26487\/20 or -1323?\nAnswer: -26487\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*a = -14, 0 = 3*s + 4*a + 12 - 2. Solve -p + 10 = 3*l, -2*p = -2*l - 6 + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -51*o**5\/10 + o**4\/12 + 71*o**3\/6 - o**2 - 445*o. What is the second derivative of q(m) wrt m?\nAnswer: -612*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000182229 to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4 + n**2 + 9 - 11 + 2*n. Let p be x(-3). Suppose -4*q + p*k = -q + 8, 4*q = -4*k + 32. Solve 19 = -2*z - 4*o + 1, 0 = -q*z - 4*o - 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-9\/7)*o)\/(o\/(o**(2\/5)\/o*o)))\/(o*o\/(o**(-3\/7)\/o))**(-5\/4) assuming o is positive.\nAnswer: o**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + v - v**3)*(1 - 1 + v) + 4*v**4 - v**4 + 2*v**4 in the form c*v + p + a*v**4 + m*v**2 + l*v**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/35*(-14)\/4*24373. Factor -w*m + 2*m**4 - 2*m**2 + 48746*m + 2*m**3 - 2*m**5 + 0*m**5.\nAnswer: -2*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50524 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -65. Is 15\/4 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 18*14\/21 - -10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((1 + sqrt(288) + 5)**2 - -2*sqrt(288)*4).\nAnswer: 1296 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + -164?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/79709 and -65\/11318678.\nAnswer: 11318678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32746285 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75665102.\nAnswer: 2, 37832551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6529, -6527, -6525, -6523, -6521?\nAnswer: -6519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 5, 4, 0, -46, 39.\nAnswer: -46, -5, -1, 0, 4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxkxxxxxxxxxk. Give prob of sequence xk.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*t**2 - 61*t**2 - t**2 + 11*t**3 + 4*t**3 + 4*t**4 wrt t.\nAnswer: 96*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4574)\/(-2296) - 2)\/((-39)\/(-936)) and -23\/6.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 - 3*y**4 - 61816*y**3 + 493*y**2 - 3347*y?\nAnswer: -120*y**2 - 72*y - 370896","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/30 - 207676\/66. Let m = g + 3144. Calculate the common denominator of m and 48\/19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/21)\/i*i*i**(22\/7))\/(i**(3\/19)\/i**19) assuming i is positive.\nAnswer: i**(1264\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/66)\/((-4)\/(-21126)). Let x = k - 2113. List the prime factors of (-2)\/9 + x\/99.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*r = -13, p + 6 = -3*r - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 15 = 0, -63*x - b = -59*x - 31 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.3 (b) 56 (c) 1\/2 (d) 0.2 (e) -0.03277 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 948733 divided by -15553?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 less than 114?\nAnswer: 114.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196555497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**4\/7 + 68*t**3\/21 + 2*t**2\/7 - 68*t\/7 + 6. Factor g(l).\nAnswer: -4*(l - 17)*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92955 and 18591?\nAnswer: 92955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/30 - (-2)\/6. Let k = 15.4 + 1.6. Let t = k - 14. Which is the nearest to -1? (a) -2 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 143. Let t = z + -43. Suppose 8*k = t + 45. What is the greatest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 621*t**2 + 2*t + 6. Let r(z) = -2*z**3 - 596*z**2 - 2*z - 5. Calculate 6*r(h) + 5*x(h).\nAnswer: -2*h**3 - 471*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123602220 divided by -14364?\nAnswer: -8605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1124001 - -1?\nAnswer: -1124000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186 in -0.4, -1\/4, 9, 0.19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.12, -155, -2, -118\/3, 7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 8. Suppose -l*a - 3*f = -8*f - 176, 3*a - 242 = 2*f. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 13*t**2 - 18*t - 12. Let x = 175 - 109. Let o = x + -80. Is 11 a factor of h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -4*v**7\/35 - 5*v**3\/2 - 3*v**2 - 14*v. Let p(f) be the first derivative of w(f). Find the first derivative of p(b) wrt b.\nAnswer: -96*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 3. Let g(c) = 22 - 6 - 6*c + c. Let v(x) = -x**2 + x + 4. Let i be v(0). Let h(j) = i*g(j) - 22*p(j). Differentiate h(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -6*w**4\/11 + 442*w**3\/11 - 26*w**2 - 442*w\/11 + 292\/11 = 0.\nAnswer: -1, 2\/3, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 + 114*q + 321. Is 45 a factor of v(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 23, 4 in descending order.\nAnswer: 23, 4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:16 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 3*s + 1. Let v be d(0). What is the highest common divisor of 3 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1886 * -7\nAnswer: 13202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {w: 11, r: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -16\/383 (c) 5 (d) 0.4 (e) -0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 9741\/32 and 304 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2152.4 + -2147.4. Which is the closest to -3\/70? (a) -2 (b) -2\/9 (c) 2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 22.7. Let q = -27.2 - z. Which is the smallest value? (a) -5 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -7. Let s(y) = -y**2 - 33*y + 152. Let u be s(-37). Suppose -3*d - 2*t - 1 = 0, -u*d + 8 - 13 = -t. Sort 8, c, 4, d in decreasing order.\nAnswer: 8, 4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 69169, 69157, 69147, 69139, 69133?\n\"Answer: y**2 - 15*y + 69183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 10*d - 10 + 84)*(4*d + 7*d + 3*d).\nAnswer: 140*d**2 + 840*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40799 - 0.07\nAnswer: -40799.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4382, 8730, 13036, 17300, 21522?\n\"Answer: -21*w**2 + 4411*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8553 + 10?\nAnswer: -8543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2699439769.\nAnswer: 13, 207649213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7912 = 8892. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118 - -4?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**3 - c + 1. Let i be h(1). What is the greatest common factor of i and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*t + 9 = 0, -4*p + 11*p - 4*t = 29. Factor 4\/3*o**2 - 8\/3*o + 16\/9 - 2\/9*o**p.\nAnswer: -2*(o - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17931300 to the nearest one hundred thousand.\nAnswer: 17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) - sqrt(560)*-2)\/sqrt(10))\/((sqrt(24) + sqrt(96))\/sqrt(3)) + 1.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.8 - -13.8. Which is the third biggest value? (a) 2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180494687\/679 - 265824. Let s = v - -3\/679. Factor 4\/7*h + s + 2\/7*h**2.\nAnswer: 2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:38 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -3 - 4*73\/(-2) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34950324 to the nearest integer?\nAnswer: 5912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 207\/(-2 + 1)*-1. Let p = d - 130. What is the highest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/230 and 11\/10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 14 = -21*m + 23*m, 2*t - m = 9. Solve j = -5*g - 7, -2*j = t - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**3 + 159573*s - s**4 - 79783*s - 4 - 79789*s to the form r*s**2 + g*s + d*s**3 + p + v*s**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 529522640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10574 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5747 + 5764. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*f + h + 24, 3*f = 4*h - 4. Factor 16 - 2772*s**2 + f + 2767*s**2.\nAnswer: -5*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 18 - 4. Suppose 0 = -c + u + 3. Calculate the greatest common factor of 35 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909386971?\nAnswer: 701, 1297271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*2*-5 + -2. Suppose i*y - 36 = 24*y. Suppose -5*v + y = -1. Calculate the highest common factor of v and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 2, l: 3, j: 2, e: 2, k: 1}. Give prob of picking 1 e, 1 u, and 1 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9860?\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4143, 17146, 38955, 69570, 108991, 157218?\n\"Answer: 4403*r**2 - 206*r - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**2\/2 - 9*n - 9. Give j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 44, -34, -94, -130, -136, -106, -34?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141915909 is divided by 350.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167.26 - -2.26. Let a = z - -163. Let l = 25 - 123\/5. What is the closest to a in -0.3, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 59 = -1. Let l = j - -6. Let o = -12 + 24. What is the greatest common factor of l and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*t + 220*t + 3*t**3 + 239*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 + -1 + -13 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 10:15 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 73 = -3*s, 5*s + 2*w - 6*w + 143 = 0. Let u be (-1 - 1) + s\/(-6). What is the closest to -1 in 0, u, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 23\/5816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*j - 7 - 3, 0 = 2*t - 4*j + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -20*m + 148. Let z be y(7). Solve 0 = 5*t + 5*r + 25, -5*t - 17 = -3*r + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94*p + 374*p + 179*p + 105*p)*(-1 + 14 + 3) to z + o*p and give o.\nAnswer: 9024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3622 (base 8) in base 14?\nAnswer: -9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18917, 39509, 60101, 80693, 101285, 121877?\n\"Answer: 20592*f - 1675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1111 - 41104\/37. Let n = 59\/185 + u. Which is the third biggest value? (a) 0 (b) -1\/10 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inddgntndty. Give prob of sequence tgi.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14*s - 738. Let l(x) = 2*x + 1. Determine -6*l(q) - o(q).\nAnswer: 2*q + 732","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 6 - (-3 + 46\/6*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 + 183. Suppose -2*t = 2*m - 16, 3*t = -2*t + m + s. What is the remainder when 29 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3700.12005 to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(14) + sqrt(14)*-1 + sqrt(14)) + sqrt(14))\/(1*sqrt(63)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*a + 8*a + 99*a.\nAnswer: 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3497*i + 6. Let t(v) = 16*v + 1. Calculate -j(f) + 2*t(f).\nAnswer: 3529*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) 0.955 (d) -5 (e) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053236955 rounded to 6 dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7704, 15406, 23108?\nAnswer: 30810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/j*j**(-31)*j\/(j\/(j\/j**(-16\/7)))*j**(-48))**(-1\/8) assuming j is positive.\nAnswer: j**(607\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*o + 41, 0 = -2*u - 4*o - 14 - 12. Let p = u + 7. Solve -2 = -p*b + 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 90*v**2 - 2. Let h = 29 - 28. What is the remainder when j(h) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y - 28. Let b be d(-6). What are the prime factors of (-61)\/(1 + -2) + 28\/b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.8. Let x = l + -5.9. Let r = 0.07 - -0.03. Which is the nearest to r? (a) 4 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - d + 3. Let y be s(0). Sort y, 5, 6 in ascending order.\nAnswer: y, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 44 = 1537*p - 1539*p, -5*p = 2*q + 72 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c**3 - 436*c**3 - 398*c**3 - 80*c**3 - 252*c**3 - 177*c**3.\nAnswer: -1383*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*r - 8, 2*q - 3*q - r = -3. Let l = 32 - 31. Solve 0 = -3*y - q - l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/(-9))\/2 - (-10)\/6. Suppose 4*o = 5*o + v*o. Put 5, -5, 1, o in descending order.\nAnswer: 5, 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -127*u + 948. Let b(o) = -32*o + 237. Let j(p) = -9*b(p) + 2*h(p). Let z be j(7). What is the greatest common divisor of 13 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c = -59*c + 110604. Let n = c - 4617. What is n rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5 and -15072294089.2.\nAnswer: -15072294087.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1007, -2004, -2977, -3914, -4803?\nAnswer: -5632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20772\/8078*(-1 + -6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**4 + 7392543*n**3 + 3*n**2 + 611541504*n wrt n.\nAnswer: 48*n**2 + 44355258*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 + 0*p**3 + 2*p**3 - 3*p**2)*(11 - 13*p - 11) + p**3 - 3*p**2 + 72*p**4 - 148*p**4 + 70*p**4.\nAnswer: -32*p**4 - 25*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n. Let a(l) = 7*l. Let f(o) = 7*a(o) + 3*v(o). Let d(s) = -4*s. What is f(d(c))?\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 2 + 35 - 2. Suppose -120 = -19*s - 11*s. Calculate the highest common divisor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 111\/212, -7, 1, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1707 and 2901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*k + 74794, k + 3*g - 14662 = -2200. List the prime factors of k.\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -3, 2\/9, -0.3, -2\/191 in descending order.\nAnswer: 2\/9, 1\/5, -2\/191, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -1.07. Let q = -4.286 + 5.42. Let s = w - q. Round s to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 1. Let g(c) = -c**2 + 2. Suppose 0 = -5*v - 172 - 213. Let b = v - -76. Determine b*g(x) + 2*s(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a, 9 = -5*t - a + 52. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003846520302 to seven decimal places.\nAnswer: 0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - 517?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -257 + 581 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/10693 or 1?\nAnswer: 2\/10693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 2 + -14)*(-17 - -7) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.83 - 4.4. What is y rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16392 or 16353?\nAnswer: 16353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmw when three letters picked without replacement from wpmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, 4.\nAnswer: -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-55) + 36\/10. Suppose -4*i - 42 = -2*v, -2*v + b*i = -6*v + 132. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*l + 9, -3*t + 8*t + 2*l = 6. Solve 0 = 2*u - t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, 2.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154096630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 6) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6809735 and 1345.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.346 minus -2?\nAnswer: -1.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**3 - 33839079*r**2 - 255124114*r wrt r?\nAnswer: -18*r - 67678158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (sqrt(95) + sqrt(95) + sqrt(95) + sqrt(95)*2*1 + sqrt(95)))\/(sqrt(25)\/(-3*sqrt(5))).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 26591960*z - 176783084160400.\nAnswer: -(z - 13295980)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.1. Let y = 183.2 - 541.2. Let d = y + 361. What is the nearest to 2 in d, k, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 4:08 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 13*j**2 - 14*j + 2. Let v be a(14). Suppose -p - 18 = -v*h, 6*h - 40 = 2*h + 4*p. Suppose -h*x + 660 = -2*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1480 and 109\/24.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91) - (sqrt(91) + (2*sqrt(91) - sqrt(91)))))\/(sqrt(343) + -2*sqrt(343) - sqrt(343)) - (sqrt(1404)\/sqrt(3) + (5 + sqrt(13) + -1)**2)*2.\nAnswer: -391*sqrt(13)\/14 - 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.45 + 4. Let t = 0.15 + h. Put t, 5, -0.5 in descending order.\nAnswer: 5, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aryujjah. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Suppose 2*k = -2*u, 4*u - 2*k = -5*k - 5. Sort j, u, -1 in ascending order.\nAnswer: u, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 54.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 23*s + 105 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 5 - 1 - -18 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -525, 0.2, -4, 1, 1\/8.\nAnswer: -525, -4, 1\/8, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 79. Suppose -3*w + 222 = 4*h, 0 = -2*h + r*w - 43 + 163. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (-2)\/(-10) - (-312)\/40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11911 + 11912. Solve -2*b - p = -o - 3, -5*p + 20 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -36. Let x be -1 + (-8)\/f + 2. Suppose 0*j + l = -3*j, 0 = x*l + 15. What is the biggest value in -1, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -5.\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3370*g - 1685*g - 1686*g + 7986)*(-4*g**3 - 23*g**2 + 23*g**2) as b*g**2 + q*g**4 + c*g + l + r*g**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12*(2 + (-4)\/(-4) + -2). Suppose 0 = c*d - 271 + 7. Let h be d\/(-33) - (-40)\/69. Is 2\/9 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(((sqrt(272) + 0)*5)**2 - -6*(sqrt(17) + -4 + sqrt(17) + 1 + sqrt(17)))*-4.\nAnswer: 1296*sqrt(17) + 488304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 10*z**3 - 31*z**3 + 4*z**2 + 20*z**3 + 6*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100001 + -100?\nAnswer: -1000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 - 49126*j + 98238. What is c(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z - 144 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 248. Let y = 2297\/11 + w. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**5 - 1007*x**3 + 1407*x**2?\nAnswer: 60*x**2 - 6042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, 5\/7, -0.4 in ascending order.\nAnswer: -0.4, 5\/7, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 1, r: 5, z: 8, i: 5}. What is prob of picking 1 f and 3 r?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 11074 + 72878 = -47408. List the prime factors of f.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from vkmkvvvmkvk?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 25?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-10))\/q**(-23) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 176.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.07? (a) 71 (b) 0.29 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000297775 rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + (54 - (-4 - -11)) + -22?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -6 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 940274.7ms?\nAnswer: 15.671245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m - 2*s - 2, 4*m + 2*s + 8 = 0. Suppose 8 = 4*h, h - 20 + 2 = -4*p. Let z be 4\/(-2*1) + 20\/p. Sort m, z, -1 in decreasing order.\nAnswer: z, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1*-16*(-2)\/24. Suppose s + i = 7, 3*s - 19 = -h*i + 5. Let r = 52 - 12. Calculate the highest common divisor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 847 divide 948302047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91956.\nAnswer: 2, 3, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5*o + 10. Let z be m(-6). Let y(d) = 3*d**2 + 5*d + 1. Let p(q) = -q**2 - 1. Let x(a) = 4*p(a) + y(a). Determine x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -9 (c) -1\/5 (d) -9\/25 (e) 0.4 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*s + i, 7*s - 4*i = 2*s - 20. Which is the third biggest value? (a) -0.0598 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - z - 4 + 23, 0 = -1684*s + 1685*s + z - 19 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221628705 - 397608705. What is w rounded to the nearest 1000000?\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 10 (c) -0.23 (d) -1\/2 (e) -2\/7 (f) -33 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5647 and 0.2.\nAnswer: -1129.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.13227 and -3715.9602521?\nAnswer: 3716.0925221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -2\/5 (b) 2\/11 (c) -3\/5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a05b - 0?\nAnswer: a05b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 1. Suppose 28 + 2 = -5*v. Is o(v) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 52 = -29*s. Calculate the least common multiple of s and 5.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 + 26*h**2 + 21*h - 119. Determine i(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2516 = -p + 3373. What are the prime factors of p?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -6\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 6 = 0. Suppose 6*j = q*j. Suppose 4*s = -j*s + 148. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 14*s - s + 6*s + 9*s - 35*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 12*j + 34. Determine q(-14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l + 2*l**3 - l**3 + 2*l**3.\nAnswer: 3*l**3 + 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -16. Suppose -3*l = -2*f - 22, -t*f - 2*l = -0*f + 7. Let h be 1 + 1 + 8\/(-2). Sort f, h, 1 in decreasing order.\nAnswer: 1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 864 = -7*h. Let w be 0 + (1 - -4) + -3 - h. Calculate the greatest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 19 - 10. Suppose 2*l + 28 = 2*x - 2*l, -l = t*x - 56. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53690 and 14909300.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*j - 6*j - 4*j - 2)*(-9 + 2 - 2).\nAnswer: -765*j + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 114254343 at least 114254344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 494013.5 microseconds?\nAnswer: 0.4940135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 212*f**2\/5 + 3538*f\/5 - 119072\/5.\nAnswer: 2*(f - 16)*(f + 61)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from wppn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 173 = -3*s - 185, 4*s + 19 = -3*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*i - 8*i + 8*i + (-1 + 3 + 0)*(3 - 2*i - 3) - i + 3*i - 3*i)*(0 + 1 + 2)*(5 - 3 - 3)*(7*i - 2 + 2) in the form c*i**2 + d + o*i and give c.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/6 + m**3\/3 + 132*m**2 + 1097*m. Factor h(j).\nAnswer: -2*(j - 12)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c76 (base 16) in base 12?\nAnswer: -1a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/57, -1\/2, -10, 4?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 + 2*u**3 + 88 - 8509*u + 2*u**2 - 4*u**2 + 8497*u - 306*u**4 wrt u?\nAnswer: -3672*u**2 + 6*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1072552*a**3 - 2095647 wrt a?\nAnswer: -3217656*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 32020?\nAnswer: -32020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(24\/378)*-3 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*a = 12847, 4277 = 17*r - 16*r - a. Let n(q) = -4279 - 3*q + r. Let b be (-1)\/(-1) + -1 + 2. Determine n(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 - f + 22*f**2 - 12*f**2 + 3 to the form w*f + u + s*f**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3639 and -4\/13343.\nAnswer: 40029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*t + 2 = 0, 4*g - 121*t = -124*t + 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10 + (-8)\/10. Let t be (-1 + 0)\/(h\/2). Let o = 18 - 12. Solve t*r = -f + o, 2*f + 0*f + 8 = r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z + 2*z**2 + 10*z + 5*z**2 + z**3 - 6*z. Give i(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622197.5 rounded to the nearest 10000?\nAnswer: 1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7867599253.\nAnswer: 1531, 5138863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 4*a + 15950000. What is a rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 4*t + 32. Suppose 0 = 3*k + 3*k - t. Calculate the highest common divisor of 77 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:04 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssn when three letters picked without replacement from jsshccjnsttjht.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.6427 - 0.0873. Let c = y - -7.7300411. Round c to six decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {x: 9, m: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69635701*a**3 + 930496080?\nAnswer: 208907103*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106.7 - -106.9. What is the closest to -3 in t, -1\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 338 and -292.1.\nAnswer: -98729.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 + 91*q - 56. Give k(37).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 63 - 68 + 1 - 4*o**2.\nAnswer: -4*o**2 - 2*o - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12030 (base 7) to base 15.\nAnswer: -dc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 1480, 2239, 3020, 3829, 4672?\nAnswer: 5555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 84*c - 87*c + 171, 0 = -5*y + 39*c - 38*c - 434 for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/((-27)\/37227). Let s = -4974 + 2901. Let g = s + h. What is the common denominator of 151\/12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-22\/9)\/l)\/(l**(-8)*l))\/(l**(-19)\/l**(-16)) assuming l is positive.\nAnswer: l**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 0*z + 0*z + (35 + 27 - 70)*(3*z + 3*z - 4*z) as k + h*z and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*i + i - 5*c, -4*i = -3*c - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 12:24 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 94*v - 165. Let b(g) = g**3 + 46*g - 83. Let t(q) = -11*b(q) + 6*n(q). Differentiate t(d) wrt d.\nAnswer: 3*d**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/10 - 2)\/((-3)\/(-30)). Suppose -9*w + 4*w = 0. Solve -x - s + 3 = w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010 (base 2) to base 6.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 1 = -2*l, -3*l = 2*l + 2*r - 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 4. Let p(u) = 5*u + 11. Let q(w) = -8*j(w) + 3*p(w). Let z = -1 + 3. Determine q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:34 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 7. Let i = -3960 - -39513\/10. Find the common denominator of (-42 - p) + (-1 - 1) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638.37979 rounded to the nearest ten?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 24*n**5 + 1290*n**4 - 1683*n**3 - 1821*n**2 - 330*n = 0.\nAnswer: -55, -1\/2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 25*p - 129. What is n(10)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 - 2*g**2 - 6*g**2 + 92 - 48*g + 3*g**2. Let d(b) = -3*b**2 - 19*b + 37. Let u(a) = 12*d(a) - 5*l(a). Factor u(m).\nAnswer: 4*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o - 3*o)*(2*o**2 - 6*o**2 + 2*o**2) + 1 - o**3 - 1 - 2*o**3 + 4*o**3 - 5*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 814*j**3 - 5*j**2 - 10*j - 904. Let s(z) = -407*z**3 + 3*z**2 + 6*z + 452. Let i(b) = -3*o(b) - 5*s(b). Differentiate i(n) wrt n.\nAnswer: -1221*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 + c**4\/12 + 2*c**3\/3 + 8894*c**2. Let b be -5*(-3)\/30*-4. Let k = b - -6. What is m(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 - 6 = -4*w, 3*y = 2*w - 18. Let z be y + (4 - 2)*3. Let x be ((-1)\/z)\/((-11)\/66). Which is the closest to 4? (a) 0 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1234 + 707. Let l = d - -270. Is l*(-2 - -4)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -8 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 2*d + 3. Let r be w(-4). Suppose -2*k + 7*k = -3*x + 62, 0 = -2*k - 10. Let l = r - x. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397356?\nAnswer: 2, 3, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3854360 at most as big as -3854361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12415 + 12474. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*o + 5. Find the first derivative of -o + 3*t**3 - 1 + 2 wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + i**3 - 5 - 2*i + (-3*i + 6*i - i)*(i**2 - 4 + 4).\nAnswer: 3*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away -37?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m - 461 - 459 - 470 - 16*m + 1391.\nAnswer: -27*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -577259*m - 1001597 wrt m.\nAnswer: -577259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzzzzzzyzyyyzzzyzz. What is prob of picking 3 y and 1 z?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2969048.524 to the nearest ten thousand.\nAnswer: -2970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 11:45 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*n - 49 - 95, 5*n - 5*b = 360. Let h = 5 - -1. Let d be 92\/12 + 2\/h. Calculate the highest common divisor of n and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6981 + 6929.39. What is m rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1568.20253 to the nearest 10.\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-9)*798\/1064?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Suppose j = -f*j. Let a(c) = -3*c**2 + 2*c**2 + j*c**2. Let z(g) = 2*g. What is a(z(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1430)\/(-572)*-2*(-1)\/20.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 8*a - 7. Suppose -7*d + 30 = -2*d. Let g be d*(1 - 2)\/(1 - 0). Determine u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 340.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i**3 - 16*i**3 + 6*i**3 + (-i + 1 - 1)*(-6 + 0 + 4)*(13*i**2 - 7*i**2 + 20*i**2) to g*i**2 + r*i + v*i**3 + k and give v.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-5)\/(-20))*-24. Let f be 4\/p + (-5740)\/(-90). Suppose c + 5*r = f, 34 = 2*c - 3*r - 94. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) - 2\/(-3). Let f = 443107 - 443109. What is the closest to f in 3, 4, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46520133 (base 7) to base 15.\nAnswer: -55b836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 36*w**2 - 185*w + 68. Give a(30).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 - 16*l**4 + 15381*l**3 - 8*l**2 + 8519*l + 11 wrt l.\nAnswer: 60*l**2 - 384*l + 92286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-8) + 1\/(-4). Suppose o + 3 = a. Let h = -33 - -33. Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132 divided by 29?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -0.05, 2\/13, 0.9, -79, -4\/69?\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 477 (b) 0 (c) -5\/3 (d) -1\/3 (e) 2\/3 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/35 - 4 - (-4)\/(1456\/689)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435269 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482271 is divided by 32151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31199*b + 9*b**2 + 31199*b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -3290016.17?\nAnswer: -3290016.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4016 is divided by 201?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1337 + 1339. What is the least common multiple of 5 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/5 (b) 1 (c) 6.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 7*m + 5*m - 26 = 0, h + m = -9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 274*t**4 + 3*t**2 + 269. Let d(y) = -1644*y**4 - 17*y**2 - 1613. Let o(a) = 6*d(a) + 34*x(a). Find the first derivative of o(i) wrt i.\nAnswer: -2192*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(990\/324)*5\/10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -59884503?\nAnswer: -59884503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2. Let v(p) = p + 2. Let i(w) = w + 1. Suppose -4*k - 14 = 82. Let b = k - -18. Let s(l) = b*i(l) + 3*v(l). Calculate y(s(g)).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 9:46 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2799686, 5599442, 8399208, 11198990, 13998794, 16798626, 19598492, 22398398?\n\"Answer: r**3 - r**2 + 2799752*r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 68*t - 384. Give a(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8973 + 4468 + 4505 - 269*p.\nAnswer: -269*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5148 = 2*r + 4*d, 5*r + 5*d + 3637 - 16492 = 0. Suppose -r = -10*a + 4*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*g + 0 - 6)*(-g**3 + g**3 + 21*g**4).\nAnswer: 42*g**5 - 84*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 123903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**10\/60480 + r**8\/6720 - r**6\/1440 + r**4\/24 + 5*r**2. Let a(l) be the second derivative of c(l). Factor a(b).\nAnswer: -b*(b - 1)**2*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose -69 = -f*x + w, 4*x + 3*w - 92 = 7*w. Suppose y = -5*p + 7, 6*p - 19 = -2*y + p. Calculate the remainder when x is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*j*n**2*o - 2*j*n**2 - 2*j*n*o**3 + j*n*o - 3*j*o**2 - 7*n**2*o**3 + o**3 wrt n?\nAnswer: -28*j*o - 4*j - 14*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1170.79 * -4\nAnswer: -4683.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 279812752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 3, t: 4, e: 1}. Give prob of picking 2 x and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 70 + 21 = -r, 5*q = -2*r + 62. Let b be q\/(-1503)*6\/4. What is the smallest value in b, 0, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2 + (4 - -2). Suppose -x - 3*x - u = 0, -5*w = -4*x - 2573. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4182*l + 251. Let z(y) = -4182*y + 317. Let q(d) = -2*b(d) + 3*z(d). What is the first derivative of q(x) wrt x?\nAnswer: -4182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*b - 80 - 39, 4*b + t - 91 = 0. Let n = -12 + b. Suppose -17 - 1 = -r. What is the smallest common multiple of r and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654 = 14*b + 626 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 0.996 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 8) to base 12\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1530 and -58\/23805?\nAnswer: 809370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*v + 3*v - 15 = 0, -5*d - v + 19 = 0. Solve 2*l = d*y - 0*l + 26, -6 = 4*y + 2*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -10*h + 16. Solve -5*l = 5*q + 20, 20 = -3*l + q + h*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2352 + 1510. Is q a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 13. What is the remainder when 8 is divided by r(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32657779*z + 20912421.\nAnswer: 32657779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188055 at least as big as 188055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/97 + 295\/194. Let u = 41 + -38. What is the nearest to 0 in u, 3\/8, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 3. Let j(u) = -u**2 + u - 1. Let h be j(1). Let k be h + 5\/((-20)\/(-6)). Which is the second smallest value? (a) -1\/8 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - ((1 - -11) + -5)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -344*g - 1301. Let h be z(-4). Let k = 108 - 8. What is the highest common divisor of k and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -923*c**2 - 20*c + 10. Let o be y(-3). What is o rounded to the nearest 100?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 6. Let g(i) = 2*i - 2. Let k be g(2). Suppose 0 = r - k - 3. Give f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b - 16. Let k(h) = h + 1. Let l be k(4). List the prime factors of z(l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 - 3*o + 2. Let k = 6 - 6. Suppose k = 6*m - 11*m - 110. Let j(d) = -15*d**2 - 11*d + 7. Determine m*r(u) + 6*j(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6138613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnndsnddqaq. What is prob of sequence snqa?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from kknnknnkkkkkkkkkkk?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n - o + 199, -3*o + 257 = 4*n. Calculate the greatest common factor of n and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/6)\/(10\/(-15)). Suppose 5*r = -2*p + 55, 2*p + 3*r - 43 = f*r. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167.77 - 84.86. Let p = 83 - g. What is the fourth smallest value in -3, 2, 1, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137304104 divided by 589288.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2204?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 2 + 2 + 137*u - 6 - 144*u + u**2. What is z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00415314 to 4 decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -782 - 31*y + 782 + 14*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 198030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14430 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 775808, 3103187, 6982152, 12412703, 19394840, 27928563, 38013872?\n\"Answer: 775793*g**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1132033021 (base 4) to base 9\nAnswer: -647431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 0*l**2 - 12 + 43\/3*l**3 - 26*l. Find the first derivative of g(d) wrt d.\nAnswer: 86*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 21*q**2 + 216*q + 117. Give v(-16).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/99 and 145\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2628 (base 16) in base 6?\nAnswer: 113120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/7, -19391, -258 in increasing order.\nAnswer: -19391, -258, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/32 and 125\/36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 9*g + 1 - 2*g - g + 0. Let v(i) = -i. Calculate q(w) + 4*v(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 3*g**4 + g**4 + (-2*g**2 - 3*g**2 + 4*g**2)*(-5*g**2 + 4*g**2 - 2*g**2) + 4*g**4 - 4*g**4 - g**4.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (4 - 0) + 127 + 184?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2380, -2379, -2386, -2407, -2448, -2515?\n\"Answer: -o**3 + 2*o**2 + 2*o - 2383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.27663\nAnswer: 0.55326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urru when four letters picked without replacement from yryrrryuuyrrrrrr.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 7}. Give prob of sequence ccpp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (-22 - -16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/30 + 17*z**4\/2 - 176*z**3\/3 - 347*z**2. Differentiate y(m) with respect to m.\nAnswer: 4*m + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/203, 30842, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -3. Let w = 7.6 - d. Let n = w - 0.5. Which is the smallest value? (a) -3 (b) 1\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23b3 (base 15) in base 10?\nAnswer: 7593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 743.8934128.\nAnswer: 744.0934128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25052 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**2 - 5*x - 8. Let i be d(-12). Suppose -2*j - 24*n + 538 = -27*n, -4*j + i = -2*n. List the prime factors of j.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -362 at least -192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3026*u**2*y**2 + 215*u**2*y - 2*u + 53*y**2 + 3*y - 5748 with respect to u.\nAnswer: -6052*u*y**2 + 430*u*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135867272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 0*t**3 - 1\/10*t**2 + 1\/20*t**4 + 0*t - 2. Factor z(l).\nAnswer: l*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 6*s**2 - 6*s + 7. Let c = -11 - -22. Suppose -c + 1 = 2*j. Give r(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 16 = 4*m, -5*a = -6*a - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2009 + -2061.7. What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 118 = -2*x - 5*a, -5*x + 5*a + 270 = 0. Let g = x - 17. Suppose -g*j = -45*j + 3174. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(20) + -1 - ((-1 + sqrt(5) + sqrt(5))*-3)**2)*4 + -2.\nAnswer: -2282 + 456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:05 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*r + 53*r + 42. Let k be 4\/18 - 536\/(-18). Suppose -2*l = -4*d - 0*l + k, -3*d - 5*l = -r. What is the least common multiple of d and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -720, -1298, -1878, -2460, -3044, -3630?\n\"Answer: -y**2 - 575*y - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 6. Let b(o) = o**3 + 4*o**2 - 5*o + 2. Calculate b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2155117, 2155054, 2154941, 2154772, 2154541, 2154242, 2153869, 2153416?\n\"Answer: -v**3 - 19*v**2 + v + 2155136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**3 + 24*n**3 - 15*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3016 + 3017. Let q be (-6)\/(-15) - 32\/30. What is the nearest to a in 0, -2\/11, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-18)*x**(-1\/5)\/x assuming x is positive.\nAnswer: x**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - -1. Let c = 0.1 + k. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25034381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 19 = 5. Let x be 1\/3 + (-4)\/j. Factor -m**4 + m**2 - x*m**3 + 0 + 2\/3*m.\nAnswer: -m*(m - 1)*(m + 1)*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3 - 47*q**2\/7 - 4*q + 12\/7 = 0.\nAnswer: -6, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112738 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: Multiply 3 and -1410363.8.\nAnswer: -4231091.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21896 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 4*p, 0 = -5*b + 4*p + 4. Put -3, -5, b in ascending order.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttcct. Give prob of picking 3 t and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o = 26*x + 14*o + 138, 5*x - 36*o + 34*o = -29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 477212263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**3\/3 - 13*w**2\/2 + 9*w + 212. Give y(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818563.\nAnswer: 1171, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1981\/10 - -767287\/3870. Calculate the common denominator of l and 53\/99.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276 + 268 + 8*s - 8*s - s**2 to the form l*s + t*s**2 + i and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 11865 = -2*h - 3*p, -2*p = 4*h + 23754. Let r be (-2)\/9 + (-7569096)\/h. Let f = 1274 - r. Is -1 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 + -7176?\nAnswer: -7174.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + 2)*-1)**2.\nAnswer: 128*sqrt(17) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-2\/41))\/((o*o**6)\/o))\/(o**(5\/3))**(4\/5) assuming o is positive.\nAnswer: o**(-650\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 854 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 7*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3\/16, 0.057, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -32. Suppose f - m*v = 2*v - 19, 3*f - 2*v = -70. Let x = f + 30. Solve -x*z + z = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211645545.\nAnswer: 5, 11, 197, 111827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1 + sqrt(11) - sqrt(11)) - sqrt(132)\/sqrt(3)) + sqrt(22)\/(3*sqrt(18)))**2*1*-4.\nAnswer: -20816\/81 - 680*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -16. Find the third derivative of -9*s**5 + 8*s**5 - d*s**2 + s**5 + 13*s**6 wrt s.\nAnswer: 1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 28*l - 375. Determine w(6).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.970368 to one dp.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, 145, 321, 567?\n\"Answer: 35*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17863 + 12182569\/682. Is f <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 266*k**3 + 17140*k**2 - 74250*k - 91125.\nAnswer: (k - 5)*(k + 1)*(k + 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-258) + 5385125\/414735?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -903 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 558 and 0.5?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3494*i + 98775 = 943 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 65\/15*2375\/(-3250)\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122212 + -1210111020?\nAnswer: -1211011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 102418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 4 - 4*f**2 + 3*f**2 - 2*f**2. Let c(y) = 5*y**2 - 7*y - 7. Let q be ((-18)\/2)\/(-3) - -6. Suppose -7*w + 14 = -q*w. What is w*v(p) - 4*c(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 28*h**2 + 25*h - 45. Determine d(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310303, 310309, 310315, 310321?\nAnswer: 310327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 141735*d + 2691160.\nAnswer: 5*(d - 28328)*(d - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2973.744l to millilitres.\nAnswer: 2973744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*o**5*z**2 + 45*o**5*z + 26*o**2*z**2 + 91*z**2 - 7*z wrt o?\nAnswer: -2160*o**2*z**2 + 2700*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1848 by -3.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u - 99*u - 38 = -286*u + 92*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-32) + (-7)\/(-2). Suppose y + 2*w - 1 = -a, y - 4*w = 15. Solve 5 = 2*q - y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/7)\/c**0*(c*c**(-2\/9))**(-25))\/((c*(c**3*c)\/c*c**(9\/2))\/(c\/(c*c**(-2\/5)\/c))**(-1)) assuming c is positive.\nAnswer: c**(-17947\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14989256 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4 - (18745\/(-20) + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d**2 + 80*d + 10. Let b(g) = 11*g**2 + 64*g + 8. Let l(x) = -5*b(x) + 4*c(x). Let o(f) = -2049*f**2. What is l(o(p))?\nAnswer: -12595203*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2202 + 2207. Which is the third biggest value? (a) -0.3 (b) g (c) -182 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*g**2*k**3 + g**2*k**2 - 299*g**2 - 19*k**4 + 24*k**2 wrt k?\nAnswer: 246*g**2 - 456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = -27. Let y = 12 - m. Let p = 1 + 6. What is the remainder when y is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598.22 rounded to the nearest ten?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Suppose 9 = -u + 4*y, 4*u + 4*y = 8*y + 12. Suppose 0 = u*l - 2392 + 2364. Solve -i - l = -k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + -4 + (6*-3*(-2*sqrt(245) - sqrt(245)))**2.\nAnswer: 714417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36215784 by 132.\nAnswer: 274362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*f - 448 = -89*f - 104*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1, -2\/13, 56, -9\/4 in decreasing order.\nAnswer: 56, 1, -2\/13, -1, -2, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 2 - 0) + (-29 - -24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, 3\/5, -2, -9 in descending order.\nAnswer: 3, 3\/5, -2\/9, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 877, -4 in ascending order.\nAnswer: -4, -2, -1, 877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3224 and 864931?\nAnswer: 89952824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -52. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 13. Let n be g(13). Suppose n = -2*p + 1 + 1. Let d be -1 + 4 + 3 + -2. What is the highest common factor of d and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 8, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*g + 1741572 + 989703 = 888199. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1671593991 and 4759?\nAnswer: 4759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -454*m**2 - 452*m**2 + 922*m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 222464 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n**5 + 1\/3*n**3 + 0 - n**2 + 0*n + 0*n**6 - 2\/105*n**7 + 0*n**4. Differentiate b(k) with respect to k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.49 and 33.\nAnswer: 16.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33437*n**2 + 4384*n wrt n.\nAnswer: 66874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 760053, 760054, 760053, 760050, 760045, 760038?\nAnswer: 760029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. Let s = -76.8 - -6.8. Let q = 69.8 + s. Put q, l, -0.5 in decreasing order.\nAnswer: q, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*g**4 + 13034104*g**2*x + 38926313*x wrt g?\nAnswer: 156*g**3 + 26068208*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 450\/(-6)*1\/(-3). Let h = -20 + f. Suppose -h*d + 3*d = -278. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 11) to base 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/13 + 4048*b**2\/13 - 2332698*b\/13 + 413855820\/13.\nAnswer: -2*(b - 1190)*(b - 417)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 51 + 37*w + 7 + 3.\nAnswer: 37*w - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90720, -181439, -272158, -362877, -453596, -544315?\n\"Answer: -90719*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -120*s - 942. What is the least common multiple of 669 and u(-8)?\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39564.\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-3)\/(-5 - -4). Let t(b) = -b - 2 + 3 - 4*b**2 + p*b + 1. Let d(r) = -21*r**2 + 11*r + 11. What is 2*d(q) - 11*t(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 3226446.\nAnswer: -4\/537741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - k - 6 - 12 = 0, 5*o = -2*k - 21. Suppose -l = -6 - 0. Let i be (-5)\/l*8\/(-30). Which is the nearest to -1? (a) o (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-20)*d*d)\/(d**(-1\/28)\/d))\/(d*((d**(-2)\/d*d)\/d)\/d*d*d*d\/d**(-8\/5)) assuming d is positive.\nAnswer: d**(-2599\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*(sqrt(91) + sqrt(91)*1))\/sqrt(7) - (4 + sqrt(325) + -4)**2)*-1.\nAnswer: 4*sqrt(13) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + x**2 + 40)*((4*x - 5*x + 0*x)*(3*x**2 + x**2 + 7*x**2) - x**3 + 2*x**3 - 2*x**3 + 3*x**3 + 3 - 3 + (-2*x - x + 2*x)*(0 - 2*x**2 + 0)).\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 330655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, 0.5, -2\/7, -4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28021840 by -77.\nAnswer: 363920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18466 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5056 divided by -4229?\nAnswer: 5056\/4229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*k**3 - 8*k**2 + 8*k**2 + (4*k**3 + k**3 - 3*k**3)*(50 - 6 + 23 + 132) to the form a*k**3 + i + l*k**2 + o*k and give a.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 134680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**3 - 4*c - 43. Let o(f) = 7*f**2 - 9. Calculate 5*h(q) - 2*o(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -64. Let x be 2\/8 - (-7)\/4. Suppose -u - x*l - 3 = 0, -10 = l + w*l. Solve 0*j = j - u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20783992*t - 2 + 2 + 20784001*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 487891872*w**2*z**2 - 3*w**2*z - 201773*w*z - 2*w + 4*z - 2 wrt z.\nAnswer: 975783744*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 1. Let k(q) = 4. Give -2*a(b) + k(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1485)\/33 - -36)*(-4)\/(-12)*9\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 225, 224, 223, 222?\n\"Answer: -q + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -39, -89, -177, -315, -515?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43001\/10 + -4304. Suppose -2*g + s + 4 = 0, -2*g = 4*s - 9*s - 4. Calculate the common denominator of (-488)\/(-90) + g\/(-10) and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 3 - 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-3*k + 48*k**2 - 9*k + 13*k).\nAnswer: 48*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 996\/174)*61\/(-793) + (-9)\/(-234)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (776\/64 - 12)\/(2\/(-6))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(260 - 174*v + 84*v + 91*v) + 0*v - 4*v + 3*v)*(2 - 2 + 2*v).\nAnswer: 2*v**2 + 1040*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4 + 4)*(1 - 1 - 2) - g - 3*g + 2*g - 5 + 5 + 2*g + 2*g + 402 - 466 - g.\nAnswer: -3*g - 64","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 - 5) - (40 + -35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2547 - -10191\/4. Find x, given that -l*x - 1\/2 - 1\/4*x**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 1. Let t be k(1). Let a be 1 + t + -2 - 41. Is 7 a factor of (48\/a)\/(3\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1\/4)*4. Suppose -5*m + 160 = -i*d, 2*m - 36 = m + 5*d. Suppose -35*h = -m*h - 192. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose h + 17 = -4*s, -2*h - 85*s - 9 = -82*s. Let t = 3 + -3.3. Which is the closest to t? (a) 2\/7 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 346?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132, -134, -128, -108, -68, -2, 96?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddhdddhdddhhhddd?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x + 15. Let l(w) = -25*w - 33*w + 7 + 56*w. Calculate 9*l(h) - 4*y(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -1. Let q(b) = -4*b - 3. Calculate the remainder when q(-5) is divided by 6*1\/(s\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, m: 2, c: 1, x: 1}. What is prob of sequence xvmc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d. Let j(m) = -m**3 - 6. Let h be j(d). Let y(k) = 2*k**2 + 1. Does 22 divide y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-20))\/((-24)\/(-20)). Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53555 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/125, 1, -10, -33, 2\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*j + 23 = 0, -3*g - 4*j + 66 = -g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197530354 to the power of 1\/3, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + sqrt(475) + (sqrt(475) - (sqrt(475) + 3))*3 + 2)**2*-6.\nAnswer: -3300*sqrt(19) + 17880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30529\/3363, -0.1, 0.\nAnswer: -0.1, 0, 30529\/3363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -2\/3, -1\/2, 186.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:41 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 1. Let n(f) = -f - 7. Let r be n(-9). Let i(k) = -6*k - 2. Let c(p) = 5*p + 2. Let d(s) = 4*c(s) + 3*i(s). Determine r*d(g) - 3*b(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4238 at most -4236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 52*y + 51*y + 21*y**3.\nAnswer: 21*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {y: 7, e: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 4*l**2\/7 - 210*l + 14400\/7.\nAnswer: 2*(l - 15)**2*(l + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.196 - -0.096. What is the biggest value in -0.32, -5, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1)\/6 - 804\/(-9). Is 90 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00796214704 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 708*y - 541. What is the units digit of w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -35*f - 1749. Determine g(-48).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4745\/(-3723) + (-31)\/527.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 12*s + 50. Let q be i(15). Suppose 4*n - z - 38 - 61 = 0, -q*z = -5*n + 120. Solve 0*u + n = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 50494\nAnswer: 50490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -33. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 2\/3*c**2 - 2*c - 2\/3.\nAnswer: 2*(c - 1)*(c + 1)*(3*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a695014 - -8?\nAnswer: 10a695021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by (-5 - -15)\/(4\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.338793 rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613 + 411 = 4*t. Suppose 3*f - 153 = -4*i + t, 0 = i + 4*f - 99. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80582 + -36014. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*k, 0 = 3*c + 175*k - 171*k - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152*n*p**3 + 89*n*p**2 + n + 30*p**3 - 8*p**2 - 5 wrt n?\nAnswer: 152*p**3 + 89*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/992)\/(5\/40).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 2797687.\nAnswer: 1119074.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 3 + (-2 - -26). Let c = 20 - y. Let d be (-8)\/c - (-2)\/5. Solve -3*t = -3*w + 6, -5*w + 6 = -d*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -4\/33*r**3 - 2*r**2 + 0*r - 27\/110*r**5 + 0 - 3\/11*r**4. Factor q(w).\nAnswer: -2*(9*w + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2006*z + 10509*z + 4402*z.\nAnswer: 16917*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*s - 6516 + 824 = 6773 + 40 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5740 and 208.\nAnswer: 298480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -825b9 + 1?\nAnswer: -825b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(3)*-3 + (sqrt(33)*2 - sqrt(33))\/sqrt(11) - ((sqrt(9) + sqrt(27)\/(sqrt(12) - sqrt(3)))\/sqrt(3) + -4))**2.\nAnswer: 20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + (-14 - -7) + -7 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*k - 28, 2*c - 918639 = -9*k - 918723 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1626.8 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -19*d - 19*d - 15 + 43*d. Let z = -66 - -78. What is the remainder when v(7) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {z: 1, k: 2, m: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -55556*m**2 + 5*m - 9. Suppose 4*x - 32 = -2*g, g + 3 = 1. Let n be k(x). What is n rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:52 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83924*k**5 - 2*k**4 + 97*k**3 - 33158170*k**2 wrt k.\nAnswer: -5035440*k**2 - 48*k + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117.\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100 (base 7) in base 9?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -452*o + 13561. Let y be t(29). Solve y*a = 451*a + 18 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 3 = 21*j + 6*l - 5*l, l = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2715 = -659*o - 630*o + 1470*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(4*p**3 + 4*p**3 - 6*p**3) - p**3 + 0*p**3 + 4*p**3 + 0*p - 2*p + 3*p**3 - p**3 as z*p**2 + h*p + y*p**3 + n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let i = 11 + -6. Solve 18 = -3*a + i*l, 0 = 3*a + g*l - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522334877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21*u**2 + 12*u. Let w(n) = -3*n. Calculate d(w(h)).\nAnswer: -189*h**2 - 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1139\/15, 0.981, -0.5 in ascending order.\nAnswer: -1139\/15, -0.5, 0.981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 238 + -166. What is the least common multiple of 3 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**2\/2 - v + 8. Let h be a(4). Let j be (-6)\/3 - (-11 - 0). What is the greatest common divisor of h and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516 + -0.06.\nAnswer: -516.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*f - 931*f + 211*f.\nAnswer: -1222*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z + 5*z**2 + 9*z)*(-1 + 1 - 3*z**2) - 2 + 39*z**4 - 98610*z + 2 + 98612*z.\nAnswer: 24*z**4 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4303.593mm?\nAnswer: 0.004303593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.56 (b) 2\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 14*a**2 - 13*a + 2. Let s be r(13). Solve -3*b - 8 = s*j - b, -16 = -4*j + 4*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/((z\/(((z\/((z*z**(2\/5))\/z))\/z)\/z))\/z)*z)**(1\/8) assuming z is positive.\nAnswer: z**(13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*f = -3 - 3, 5*g - 5*f = 10. Solve g*d = 4*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 27 = -3*q, -13406 = 18*n + 5*q - 13259 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 3686 = 16371. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 11466268.\nAnswer: -17\/2866567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, 122, 406, 762, 1166?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 41 = -39. Suppose 3*w + h = 7*w. Solve 5*j - 4*j = -w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:31 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from {d: 1, w: 2, n: 2, h: 1, l: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(-12) - (-4)\/(-6). Let m be (n\/7)\/(8\/12). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4 + 9 - v - 4*v + v. Suppose 45*o + 47*o = 460. Calculate h(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5377.000012683 + 5377. What is z rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:27 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuuiuiuuuiui. Give prob of sequence uiu.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - -4)*4865\/(-14)?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*c + 83. Let z = 232 - 91. Let h = z + -145. Sort 2, -5, c, h in increasing order.\nAnswer: c, -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-308)\/32 + 10 + 35\/(-72)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -879 and 48965.\nAnswer: -43040235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*k - 38*k - 5*q + q - 68, 0 = -36*k + 7*k + 4*q + 692 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771772?\nAnswer: 2, 61, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 + 9*g**3 - 13*g - 223780 with respect to g.\nAnswer: -4*g**3 + 27*g**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**2 - 4*b**3 + 13*b**2 - 2*b**3 wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z - 72*z = 21 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 - -149 - (9 + 2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + 0 + sqrt(19)) - (sqrt(1900) - -4*(sqrt(1900)*1)**2).\nAnswer: -7604 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 30. Let d = j - -38. Suppose -d*l = -5*p - 41, 0*l + 53 = 3*l + p. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 243*l**2 - 723*l - 1354. Give j(-240).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4459 = -7*f + 16051. List the prime factors of f.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35584.63952 less than 5?\nAnswer: 35589.63952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1712 + -1063. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 17. Let b(n) be the first derivative of n**2 + 1\/5*n**5 + 0*n**3 - w + 0*n + 0*n**4. What is the second derivative of b(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - f**4 - 2*f**4)*(0 + 0 + 3 + f).\nAnswer: -4*f**5 - 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110750010811 - 13.\nAnswer: -110750010824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2870, 5729, 8562, 11357, 14102?\nAnswer: 16785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, 424, 1473, 3318, 6223, 10452, 16269, 23938?\nAnswer: 33723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12353807.126689683 + -12353190.12669. Let z = -617 + l. What is z rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 9329228.\nAnswer: -7463382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -23. Suppose -v + 29 = 5*g, -3*v - p = 5*g - 45. Suppose 2*s - 29 = -0*s - g*o, 0 = 2*o - 6. Solve b + h = -0 - 3, s = -2*b - h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 - h + 2. Let i be v(-5). Suppose 15 = -2*a + i*a. Suppose -4*l - 72 = -4*x - 0*l, a = -l. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 7:19 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784240286.\nAnswer: 2, 331, 1184653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 287244292 rounded to the nearest one hundred thousand?\nAnswer: 287200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33929 + 33928 - 18*z + 581*z**2 + 18*z.\nAnswer: 581*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 - -0.6. Let p = z - 6. Is 0 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 109*u + 136. Let w(h) = -70*h - 137. Determine 2*v(f) + 3*w(f).\nAnswer: 8*f - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/7 (c) 3\/17 (d) -5 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*1*-2 - (-119 + 123). Solve 6*c = u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllgggg. Give prob of picking 2 g.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*n - 56 - 152. Calculate the remainder when 77 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 3466970*f - 6009940490450.\nAnswer: -(f - 3466970)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r + 3. Let c(n) = 2*n**2 + n - 2. Let u be c(-2). What are the prime factors of h(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.0804 + -68.4104. Let x = z - -67. Round x to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2872.8237 seconds to minutes.\nAnswer: 47.880395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1219 - 489. Suppose i = -5*u + 2*i + g, 3*i = -5*u + 750. Round u to zero decimal places.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117011.\nAnswer: 3117011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3\/2, -3, 0.12, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbdyqdby. Give prob of sequence br.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 159896*m - 2530. Let y(s) = -253*s + 4. Give 4*x(j) + 2530*y(j).\nAnswer: -506*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 411 + -410.92. Round h to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -4 + 44\/(14 + -3). Let d(h) = 5*h + 11. Let x(y) = 2*y + 5. Let b(g) = -3*d(g) + 7*x(g). Give b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*r + 3 = -2, -5*z = 4*r - 29 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(20)\/sqrt(2)) + (-1*sqrt(320))**2)*5 + sqrt(45) + (sqrt(720))**2 + -5 + 4.\nAnswer: 8*sqrt(5) + 2319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.1 - -0.2.\nAnswer: -55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2\/2 + -1. Let f = u + 3. What is the first derivative of -3*q + 2*q - 2 + q - 4*q**f wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, -3.5, 0.01, 3, -3\/13, 4?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1754 + 1994. Calculate the remainder when 821 is divided by b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -9*i + 24*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/5)\/i)*i**(5\/3)\/i)\/(i**2\/i**14) assuming i is positive.\nAnswer: i**(226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(6*(-9)\/81).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 5*o + 110. Suppose 0 = 2*w - 3*n - 6, 2*w + o*n + 8 = 6*n. Solve -5*x + t + 2 = w, 3*t = -0*t - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4502 is divided by 448.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -2582\nAnswer: 2582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4080, -3886, -3564, -3114, -2536, -1830?\n\"Answer: 64*m**2 + 2*m - 4146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30516 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from prrprr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b - 5f?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -470.99 - -473. Let h = 0.09 + -0.1. Let w = k + h. Which is the smallest value? (a) -5 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (329\/(-188))\/(3 + -3 + -2). What is the second biggest value in i, 0.2, -60?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 6*c**2 - 2*c - 6. Let m be q(-6). Solve -2*j - 5*b = m, 0 = j + j + 2*b + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, -16, -96, -198, -328, -492, -696?\n\"Answer: -u**3 - 2*u**2 - 51*u + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*60\/(-9)*3. Suppose h + 18 = 5*y - h, -y - 18 = 5*h. Suppose -w = -8*k + y*k. Solve -f - 2*f + 15 = -q, 2*q = -k*f + 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -5*u - 5. Is -122*(-4)\/(24\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/18 and 47\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 302*i**2 + 8584*i - 18368.\nAnswer: -(i - 328)*(i - 2)*(i + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 962 > 896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6695?\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14953 is divided by 129.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 884055798 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s + 2*w + 47 = 0, -5*s - 4*w + 207 = 0. Solve f + 40 = s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.7. Let o = 0.7000003 + s. What is o rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -13, -21, -31, -43?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 14*v - 53*v + 11 + 12*v + 16*v. Determine m(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1127 divide 1812012013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 21*y**2 - 8*y - 15. Let t be o(10). Suppose -4 = z + 1, t*z = 2*q + 21. Are -73\/3 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.249 + -0.749. Let g = -0.02 + 5.02. Which is the second biggest value? (a) l (b) g (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + (-157416)\/(-15). Let k be (-1)\/7 + n\/154. Suppose 2*y = 7*y + t - 77, k = 4*y + 4*t. What is the least common multiple of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (sqrt(425) + sqrt(425) + -2)**2)*-4.\nAnswer: -180*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*t + 41 = 118, 0 = -3*z + 7*t + 237 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 2*a**4 - a**2 + 6683*a - 6682*a + 160 in the form s*a**4 + l*a**2 + u*a**3 + d + c*a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/((-28)\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (718*b - 718*b + 204*b**2)*(-2*b + b**2 + 2*b) + (6*b + 2*b - 3*b)*(-3*b**3 + 0*b**3 + 2*b**3).\nAnswer: 199*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4, 55, -2\/11, 0.4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -72*q**3 + 17*q**2 + 13*q + 5. List the prime factors of j(-5).\nAnswer: 5, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 19*l**2 + 18*l - 13. Let d be p(18). Is -15 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 2) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*g = -34561 + 159878, g = o - 41773. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qch when three letters picked without replacement from hqcqooqhoooo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 3961\/1001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = 16*d - 526. Solve -d*h = -36 + 36 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149408652.\nAnswer: 2, 3, 761, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -305355?\nAnswer: 305400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3762*o - 9. Let k(u) = 3780*u + 11. Give 4*k(n) + 5*t(n).\nAnswer: -3690*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 69.7. Let p = -1.3 + d. Let x be (18\/(-24))\/(2 + (-15)\/8). Which is the third smallest value? (a) p (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 818998123?\nAnswer: 818998128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 6*a + 2. Let v be u(5). Let q be (1 + 0)\/((-2)\/(-14)). Let l = v + q. Solve -4*c + 4 = -2*w - 2*c, -l*w - 5*c = -37 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}